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Posted to commits@hivemall.apache.org by my...@apache.org on 2017/11/21 13:01:55 UTC

[01/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Repository: incubator-hivemall-site
Updated Branches:
  refs/heads/asf-site 2f9bbf098 -> 7a0f5c1d8


http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/troubleshooting/mapjoin_task_error.html
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diff --git a/userguide/troubleshooting/mapjoin_task_error.html b/userguide/troubleshooting/mapjoin_task_error.html
index b932788..1e5d5e6 100644
--- a/userguide/troubleshooting/mapjoin_task_error.html
+++ b/userguide/troubleshooting/mapjoin_task_error.html
@@ -7,7 +7,7 @@
         <title>SemanticException Generate Map Join Task Error: Cannot serialize object · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2259,7 +2274,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/troubleshooting/num_mappers.html
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diff --git a/userguide/troubleshooting/num_mappers.html b/userguide/troubleshooting/num_mappers.html
index 406dfd1..650ed36 100644
--- a/userguide/troubleshooting/num_mappers.html
+++ b/userguide/troubleshooting/num_mappers.html
@@ -7,7 +7,7 @@
         <title>The number of mappers is less than input splits in Hadoop 2.x · Hivemall User Manual</title>
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         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2267,7 +2282,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/troubleshooting/oom.html
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index a68acb0..b600bcb 100644
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         <title>OutOfMemoryError in training · Hivemall User Manual</title>
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@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2265,7 +2280,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[08/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/misc/prediction.html
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diff --git a/userguide/misc/prediction.html b/userguide/misc/prediction.html
index 9878c29..09e9fe1 100644
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@@ -531,6 +531,21 @@
             
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+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
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+    
 
     
         
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/misc/tokenizer.html
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index d84ba5f..31109df 100644
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+    <link rel="next" href="approx.html" />
     
     
     <link rel="prev" href="topk.html" />
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="approx.html">
+            
+                <a href="approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2200,6 +2215,18 @@
   specific language governing permissions and limitations
   under the License.
 -->
+<!-- toc --><div id="toc" class="toc">
+
+<ul>
+<li><a href="#tokenizer-for-english-texts">Tokenizer for English Texts</a></li>
+<li><a href="#tokenizer-for-non-english-texts">Tokenizer for Non-English Texts</a><ul>
+<li><a href="#japanese-tokenizer">Japanese Tokenizer</a></li>
+<li><a href="#chinese-tokenizer">Chinese Tokenizer</a></li>
+</ul>
+</li>
+</ul>
+
+</div><!-- tocstop -->
 <h1 id="tokenizer-for-english-texts">Tokenizer for English Texts</h1>
 <p>Hivemall provides simple English text tokenizer UDF that has following syntax:</p>
 <pre><code class="lang-sql">tokenize(text input, optional boolean toLowerCase = false)
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/misc/topk.html
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diff --git a/userguide/misc/topk.html b/userguide/misc/topk.html
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+            
+                <a href="approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -3042,7 +3057,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/multiclass/iris.html
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diff --git a/userguide/multiclass/iris.html b/userguide/multiclass/iris.html
index fda0a88..49b110e 100644
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+++ b/userguide/multiclass/iris.html
@@ -7,7 +7,7 @@
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2255,7 +2270,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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         </li>
     
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2298,7 +2313,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[05/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/regression/kddcup12tr2_lr_amplify.html
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diff --git a/userguide/regression/kddcup12tr2_lr_amplify.html b/userguide/regression/kddcup12tr2_lr_amplify.html
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@@ -7,7 +7,7 @@
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2349,7 +2364,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[16/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
Updated userguide for Hyperloglog


Project: http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/repo
Commit: http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/commit/7a0f5c1d
Tree: http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/tree/7a0f5c1d
Diff: http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/diff/7a0f5c1d

Branch: refs/heads/asf-site
Commit: 7a0f5c1d81410d8ff12c1d6a0fd5dfdc8f1bf6bb
Parents: 2f9bbf0
Author: Makoto Yui <my...@apache.org>
Authored: Tue Nov 21 22:01:43 2017 +0900
Committer: Makoto Yui <my...@apache.org>
Committed: Tue Nov 21 22:01:43 2017 +0900

----------------------------------------------------------------------
 userguide/anomaly/changefinder.html             |   19 +-
 userguide/anomaly/lof.html                      |   19 +-
 userguide/anomaly/sst.html                      |   19 +-
 userguide/binaryclass/a9a.html                  |   19 +-
 userguide/binaryclass/a9a_dataset.html          |   19 +-
 userguide/binaryclass/a9a_lr.html               |   19 +-
 userguide/binaryclass/a9a_minibatch.html        |   19 +-
 userguide/binaryclass/general.html              |   19 +-
 userguide/binaryclass/kdd2010a.html             |   19 +-
 userguide/binaryclass/kdd2010a_dataset.html     |   19 +-
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 userguide/binaryclass/kdd2010b.html             |   19 +-
 userguide/binaryclass/kdd2010b_arow.html        |   19 +-
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 userguide/binaryclass/news20_adagrad.html       |   19 +-
 userguide/binaryclass/news20_dataset.html       |   19 +-
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 userguide/gitbook/gitbook.js                    |    4 +-
 userguide/gitbook/theme.js                      |    2 +-
 userguide/index.html                            |   19 +-
 userguide/misc/approx.html                      | 2434 ++++++++++++++++++
 userguide/misc/generic_funcs.html               |   25 +-
 userguide/misc/prediction.html                  |   19 +-
 userguide/misc/tokenizer.html                   |   33 +-
 userguide/misc/topk.html                        |   19 +-
 userguide/multiclass/iris.html                  |   19 +-
 userguide/multiclass/iris_dataset.html          |   19 +-
 userguide/multiclass/iris_randomforest.html     |   19 +-
 userguide/multiclass/iris_scw.html              |   19 +-
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 userguide/multiclass/news20_dataset.html        |   19 +-
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 .../news20_one-vs-the-rest_dataset.html         |   19 +-
 userguide/multiclass/news20_pa.html             |   19 +-
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 userguide/recommend/movielens_dataset.html      |   19 +-
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 userguide/regression/e2006.html                 |   19 +-
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 userguide/regression/kddcup12tr2_dataset.html   |   19 +-
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 userguide/search_index.json                     |    2 +-
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 userguide/spark/binaryclass/a9a_df.html         |   19 +-
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 userguide/spark/misc/topk_join.html             |   19 +-
 userguide/spark/regression/e2006_df.html        |   19 +-
 userguide/spark/regression/e2006_sql.html       |   19 +-
 userguide/tips/addbias.html                     |   19 +-
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 userguide/tips/rt_prediction.html               |   19 +-
 userguide/troubleshooting/asterisk.html         |   19 +-
 userguide/troubleshooting/index.html            |   19 +-
 .../troubleshooting/mapjoin_classcastex.html    |   19 +-
 .../troubleshooting/mapjoin_task_error.html     |   19 +-
 userguide/troubleshooting/num_mappers.html      |   19 +-
 userguide/troubleshooting/oom.html              |   19 +-
 118 files changed, 4380 insertions(+), 232 deletions(-)
----------------------------------------------------------------------


http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/anomaly/changefinder.html
----------------------------------------------------------------------
diff --git a/userguide/anomaly/changefinder.html b/userguide/anomaly/changefinder.html
index fad71b1..c21f638 100644
--- a/userguide/anomaly/changefinder.html
+++ b/userguide/anomaly/changefinder.html
@@ -7,7 +7,7 @@
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         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
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@@ -531,6 +531,21 @@
             
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+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2446,7 +2461,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/anomaly/lof.html
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diff --git a/userguide/anomaly/lof.html b/userguide/anomaly/lof.html
index e10a1bd..286e882 100644
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@@ -7,7 +7,7 @@
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+            
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+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2424,7 +2439,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[04/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/search_index.json
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diff --git a/userguide/search_index.json b/userguide/search_index.json
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<TRUNCATED>


[13/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/ft_engineering/ft_trans.html
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diff --git a/userguide/ft_engineering/ft_trans.html b/userguide/ft_engineering/ft_trans.html
index 69578c5..55e744d 100644
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+++ b/userguide/ft_engineering/ft_trans.html
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         <title>FEATURE TRANSFORMATION · Hivemall User Manual</title>
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@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2255,7 +2270,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/ft_engineering/hashing.html
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diff --git a/userguide/ft_engineering/hashing.html b/userguide/ft_engineering/hashing.html
index aa2bd38..bb35f70 100644
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@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2366,7 +2381,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/ft_engineering/pairing.html
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diff --git a/userguide/ft_engineering/pairing.html b/userguide/ft_engineering/pairing.html
index 20bcabe..cb54a3d 100644
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+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2255,7 +2270,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[10/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/gitbook/theme.js
----------------------------------------------------------------------
diff --git a/userguide/gitbook/theme.js b/userguide/gitbook/theme.js
index 4c22928..268002a 100644
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<TRUNCATED>


[07/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/multiclass/news20_pa.html
----------------------------------------------------------------------
diff --git a/userguide/multiclass/news20_pa.html b/userguide/multiclass/news20_pa.html
index 6757b37..5d653e5 100644
--- a/userguide/multiclass/news20_pa.html
+++ b/userguide/multiclass/news20_pa.html
@@ -7,7 +7,7 @@
         <title>PA · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2325,7 +2340,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
     <script>
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index ec1e6b0..1566b51 100644
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@@ -531,6 +531,21 @@
             
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+            
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+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/recommend/news20.html
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index ea05ad7..1984271 100644
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@@ -531,6 +531,21 @@
             
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+            
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+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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[15/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/binaryclass/kdd2010b.html
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diff --git a/userguide/binaryclass/kdd2010b.html b/userguide/binaryclass/kdd2010b.html
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+            
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+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2255,7 +2270,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/binaryclass/webspam.html
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diff --git a/userguide/binaryclass/webspam.html b/userguide/binaryclass/webspam.html
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+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/binaryclass/webspam_dataset.html
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+                    
+                    Approximate Aggregate Functions
+            
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+            
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+            
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+    
 
     
         
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[11/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/gitbook/gitbook.js
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<TRUNCATED>


[02/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/tips/emr.html
----------------------------------------------------------------------
diff --git a/userguide/tips/emr.html b/userguide/tips/emr.html
index 9824473..0c289cb 100644
--- a/userguide/tips/emr.html
+++ b/userguide/tips/emr.html
@@ -7,7 +7,7 @@
         <title>Run Hivemall on Amazon Elastic MapReduce · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2431,7 +2446,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
     <script>
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/troubleshooting/index.html
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diff --git a/userguide/troubleshooting/index.html b/userguide/troubleshooting/index.html
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
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+    
 
     
         
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[09/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/index.html
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+            
+                <a href="misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2266,7 +2281,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/misc/approx.html
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+<!DOCTYPE HTML>
+<html lang="" >
+    <head>
+        <meta charset="UTF-8">
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+        <title>Approximate Aggregate Functions · Hivemall User Manual</title>
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+    <link rel="next" href="../ft_engineering/scaling.html" />
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+    
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+    </head>
+    <body>
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+<div class="book">
+    <div class="book-summary">
+        
+            
+<div id="book-search-input" role="search">
+    <input type="text" placeholder="Type to search" />
+</div>
+
+            
+                <nav role="navigation">
+                
+
+
+<ul class="summary">
+    
+    
+    
+        
+        <li>
+            <a href="http://hivemall.incubator.apache.org/" target="_blank" class="custom-link"><i class="fa fa-home"></i> Home</a>
+        </li>
+    
+    
+
+    
+    <li class="divider"></li>
+    
+
+    
+        
+        <li class="header">TABLE OF CONTENTS</li>
+        
+        
+    
+        <li class="chapter " data-level="1.1" data-path="../">
+            
+                <a href="../">
+            
+                    
+                        <b>1.1.</b>
+                    
+                    Introduction
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.2" data-path="../getting_started/">
+            
+                <a href="../getting_started/">
+            
+                    
+                        <b>1.2.</b>
+                    
+                    Getting Started
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="1.2.1" data-path="../getting_started/installation.html">
+            
+                <a href="../getting_started/installation.html">
+            
+                    
+                        <b>1.2.1.</b>
+                    
+                    Installation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.2.2" data-path="../getting_started/permanent-functions.html">
+            
+                <a href="../getting_started/permanent-functions.html">
+            
+                    
+                        <b>1.2.2.</b>
+                    
+                    Install as permanent functions
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.2.3" data-path="../getting_started/input-format.html">
+            
+                <a href="../getting_started/input-format.html">
+            
+                    
+                        <b>1.2.3.</b>
+                    
+                    Input Format
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3" data-path="../tips/">
+            
+                <a href="../tips/">
+            
+                    
+                        <b>1.3.</b>
+                    
+                    Tips for Effective Hivemall
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="1.3.1" data-path="../tips/addbias.html">
+            
+                <a href="../tips/addbias.html">
+            
+                    
+                        <b>1.3.1.</b>
+                    
+                    Explicit add_bias() for better prediction
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3.2" data-path="../tips/rand_amplify.html">
+            
+                <a href="../tips/rand_amplify.html">
+            
+                    
+                        <b>1.3.2.</b>
+                    
+                    Use rand_amplify() to better prediction results
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3.3" data-path="../tips/rt_prediction.html">
+            
+                <a href="../tips/rt_prediction.html">
+            
+                    
+                        <b>1.3.3.</b>
+                    
+                    Real-time Prediction on RDBMS
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3.4" data-path="../tips/ensemble_learning.html">
+            
+                <a href="../tips/ensemble_learning.html">
+            
+                    
+                        <b>1.3.4.</b>
+                    
+                    Ensemble learning for stable prediction
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3.5" data-path="../tips/mixserver.html">
+            
+                <a href="../tips/mixserver.html">
+            
+                    
+                        <b>1.3.5.</b>
+                    
+                    Mixing models for a better prediction convergence (MIX server)
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.3.6" data-path="../tips/emr.html">
+            
+                <a href="../tips/emr.html">
+            
+                    
+                        <b>1.3.6.</b>
+                    
+                    Run Hivemall on Amazon Elastic MapReduce
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="1.4" data-path="../tips/general_tips.html">
+            
+                <a href="../tips/general_tips.html">
+            
+                    
+                        <b>1.4.</b>
+                    
+                    General Hive/Hadoop tips
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="1.4.1" data-path="../tips/rowid.html">
+            
+                <a href="../tips/rowid.html">
+            
+                    
+                        <b>1.4.1.</b>
+                    
+                    Adding rowid for each row
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.4.2" data-path="../tips/hadoop_tuning.html">
+            
+                <a href="../tips/hadoop_tuning.html">
+            
+                    
+                        <b>1.4.2.</b>
+                    
+                    Hadoop tuning for Hivemall
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="1.5" data-path="../troubleshooting/">
+            
+                <a href="../troubleshooting/">
+            
+                    
+                        <b>1.5.</b>
+                    
+                    Troubleshooting
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="1.5.1" data-path="../troubleshooting/oom.html">
+            
+                <a href="../troubleshooting/oom.html">
+            
+                    
+                        <b>1.5.1.</b>
+                    
+                    OutOfMemoryError in training
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.5.2" data-path="../troubleshooting/mapjoin_task_error.html">
+            
+                <a href="../troubleshooting/mapjoin_task_error.html">
+            
+                    
+                        <b>1.5.2.</b>
+                    
+                    SemanticException Generate Map Join Task Error: Cannot serialize object
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.5.3" data-path="../troubleshooting/asterisk.html">
+            
+                <a href="../troubleshooting/asterisk.html">
+            
+                    
+                        <b>1.5.3.</b>
+                    
+                    Asterisk argument for UDTF does not work
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.5.4" data-path="../troubleshooting/num_mappers.html">
+            
+                <a href="../troubleshooting/num_mappers.html">
+            
+                    
+                        <b>1.5.4.</b>
+                    
+                    The number of mappers is less than input splits in Hadoop 2.x
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="1.5.5" data-path="../troubleshooting/mapjoin_classcastex.html">
+            
+                <a href="../troubleshooting/mapjoin_classcastex.html">
+            
+                    
+                        <b>1.5.5.</b>
+                    
+                    Map-side Join causes ClassCastException on Tez
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part II - Generic Features</li>
+        
+        
+    
+        <li class="chapter " data-level="2.1" data-path="generic_funcs.html">
+            
+                <a href="generic_funcs.html">
+            
+                    
+                        <b>2.1.</b>
+                    
+                    List of generic Hivemall functions
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="2.2" data-path="topk.html">
+            
+                <a href="topk.html">
+            
+                    
+                        <b>2.2.</b>
+                    
+                    Efficient Top-K query processing
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="2.3" data-path="tokenizer.html">
+            
+                <a href="tokenizer.html">
+            
+                    
+                        <b>2.3.</b>
+                    
+                    Text Tokenizer
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter active" data-level="2.4" data-path="approx.html">
+            
+                <a href="approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part III - Feature Engineering</li>
+        
+        
+    
+        <li class="chapter " data-level="3.1" data-path="../ft_engineering/scaling.html">
+            
+                <a href="../ft_engineering/scaling.html">
+            
+                    
+                        <b>3.1.</b>
+                    
+                    Feature Scaling
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="3.2" data-path="../ft_engineering/hashing.html">
+            
+                <a href="../ft_engineering/hashing.html">
+            
+                    
+                        <b>3.2.</b>
+                    
+                    Feature Hashing
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="3.3" data-path="../ft_engineering/selection.html">
+            
+                <a href="../ft_engineering/selection.html">
+            
+                    
+                        <b>3.3.</b>
+                    
+                    Feature Selection
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="3.4" data-path="../ft_engineering/binning.html">
+            
+                <a href="../ft_engineering/binning.html">
+            
+                    
+                        <b>3.4.</b>
+                    
+                    Feature Binning
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="3.5" data-path="../ft_engineering/pairing.html">
+            
+                <a href="../ft_engineering/pairing.html">
+            
+                    
+                        <b>3.5.</b>
+                    
+                    FEATURE PAIRING
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="3.5.1" data-path="../ft_engineering/polynomial.html">
+            
+                <a href="../ft_engineering/polynomial.html">
+            
+                    
+                        <b>3.5.1.</b>
+                    
+                    Polynomial Features
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="3.6" data-path="../ft_engineering/ft_trans.html">
+            
+                <a href="../ft_engineering/ft_trans.html">
+            
+                    
+                        <b>3.6.</b>
+                    
+                    FEATURE TRANSFORMATION
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="3.6.1" data-path="../ft_engineering/vectorization.html">
+            
+                <a href="../ft_engineering/vectorization.html">
+            
+                    
+                        <b>3.6.1.</b>
+                    
+                    Feature Vectorization
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="3.6.2" data-path="../ft_engineering/quantify.html">
+            
+                <a href="../ft_engineering/quantify.html">
+            
+                    
+                        <b>3.6.2.</b>
+                    
+                    Quantify non-number features
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="3.7" data-path="../ft_engineering/tfidf.html">
+            
+                <a href="../ft_engineering/tfidf.html">
+            
+                    
+                        <b>3.7.</b>
+                    
+                    TF-IDF Calculation
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part IV - Evaluation</li>
+        
+        
+    
+        <li class="chapter " data-level="4.1" data-path="../eval/binary_classification_measures.html">
+            
+                <a href="../eval/binary_classification_measures.html">
+            
+                    
+                        <b>4.1.</b>
+                    
+                    Binary Classification Metrics
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="4.1.1" data-path="../eval/auc.html">
+            
+                <a href="../eval/auc.html">
+            
+                    
+                        <b>4.1.1.</b>
+                    
+                    Area Under the ROC Curve
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="4.2" data-path="../eval/multilabel_classification_measures.html">
+            
+                <a href="../eval/multilabel_classification_measures.html">
+            
+                    
+                        <b>4.2.</b>
+                    
+                    Multi-label Classification Metrics
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="4.3" data-path="../eval/regression.html">
+            
+                <a href="../eval/regression.html">
+            
+                    
+                        <b>4.3.</b>
+                    
+                    Regression metrics
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="4.4" data-path="../eval/rank.html">
+            
+                <a href="../eval/rank.html">
+            
+                    
+                        <b>4.4.</b>
+                    
+                    Ranking Measures
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="4.5" data-path="../eval/datagen.html">
+            
+                <a href="../eval/datagen.html">
+            
+                    
+                        <b>4.5.</b>
+                    
+                    Data Generation
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="4.5.1" data-path="../eval/lr_datagen.html">
+            
+                <a href="../eval/lr_datagen.html">
+            
+                    
+                        <b>4.5.1.</b>
+                    
+                    Logistic Regression data generation
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part V - Supervised Learning</li>
+        
+        
+    
+        <li class="chapter " data-level="5.1" data-path="prediction.html">
+            
+                <a href="prediction.html">
+            
+                    
+                        <b>5.1.</b>
+                    
+                    How Prediction Works
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part VI - Binary classification</li>
+        
+        
+    
+        <li class="chapter " data-level="6.1" data-path="../binaryclass/general.html">
+            
+                <a href="../binaryclass/general.html">
+            
+                    
+                        <b>6.1.</b>
+                    
+                    Binary Classification
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.2" data-path="../binaryclass/a9a.html">
+            
+                <a href="../binaryclass/a9a.html">
+            
+                    
+                        <b>6.2.</b>
+                    
+                    a9a tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="6.2.1" data-path="../binaryclass/a9a_dataset.html">
+            
+                <a href="../binaryclass/a9a_dataset.html">
+            
+                    
+                        <b>6.2.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.2.2" data-path="../binaryclass/a9a_lr.html">
+            
+                <a href="../binaryclass/a9a_lr.html">
+            
+                    
+                        <b>6.2.2.</b>
+                    
+                    Logistic Regression
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.2.3" data-path="../binaryclass/a9a_minibatch.html">
+            
+                <a href="../binaryclass/a9a_minibatch.html">
+            
+                    
+                        <b>6.2.3.</b>
+                    
+                    Mini-batch Gradient Descent
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="6.3" data-path="../binaryclass/news20.html">
+            
+                <a href="../binaryclass/news20.html">
+            
+                    
+                        <b>6.3.</b>
+                    
+                    News20 tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="6.3.1" data-path="../binaryclass/news20_dataset.html">
+            
+                <a href="../binaryclass/news20_dataset.html">
+            
+                    
+                        <b>6.3.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.3.2" data-path="../binaryclass/news20_pa.html">
+            
+                <a href="../binaryclass/news20_pa.html">
+            
+                    
+                        <b>6.3.2.</b>
+                    
+                    Perceptron, Passive Aggressive
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.3.3" data-path="../binaryclass/news20_scw.html">
+            
+                <a href="../binaryclass/news20_scw.html">
+            
+                    
+                        <b>6.3.3.</b>
+                    
+                    CW, AROW, SCW
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.3.4" data-path="../binaryclass/news20_adagrad.html">
+            
+                <a href="../binaryclass/news20_adagrad.html">
+            
+                    
+                        <b>6.3.4.</b>
+                    
+                    AdaGradRDA, AdaGrad, AdaDelta
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.3.5" data-path="../binaryclass/news20_rf.html">
+            
+                <a href="../binaryclass/news20_rf.html">
+            
+                    
+                        <b>6.3.5.</b>
+                    
+                    Random Forest
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="6.4" data-path="../binaryclass/kdd2010a.html">
+            
+                <a href="../binaryclass/kdd2010a.html">
+            
+                    
+                        <b>6.4.</b>
+                    
+                    KDD2010a tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="6.4.1" data-path="../binaryclass/kdd2010a_dataset.html">
+            
+                <a href="../binaryclass/kdd2010a_dataset.html">
+            
+                    
+                        <b>6.4.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.4.2" data-path="../binaryclass/kdd2010a_scw.html">
+            
+                <a href="../binaryclass/kdd2010a_scw.html">
+            
+                    
+                        <b>6.4.2.</b>
+                    
+                    PA, CW, AROW, SCW
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="6.5" data-path="../binaryclass/kdd2010b.html">
+            
+                <a href="../binaryclass/kdd2010b.html">
+            
+                    
+                        <b>6.5.</b>
+                    
+                    KDD2010b tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="6.5.1" data-path="../binaryclass/kdd2010b_dataset.html">
+            
+                <a href="../binaryclass/kdd2010b_dataset.html">
+            
+                    
+                        <b>6.5.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.5.2" data-path="../binaryclass/kdd2010b_arow.html">
+            
+                <a href="../binaryclass/kdd2010b_arow.html">
+            
+                    
+                        <b>6.5.2.</b>
+                    
+                    AROW
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="6.6" data-path="../binaryclass/webspam.html">
+            
+                <a href="../binaryclass/webspam.html">
+            
+                    
+                        <b>6.6.</b>
+                    
+                    Webspam tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="6.6.1" data-path="../binaryclass/webspam_dataset.html">
+            
+                <a href="../binaryclass/webspam_dataset.html">
+            
+                    
+                        <b>6.6.1.</b>
+                    
+                    Data pareparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="6.6.2" data-path="../binaryclass/webspam_scw.html">
+            
+                <a href="../binaryclass/webspam_scw.html">
+            
+                    
+                        <b>6.6.2.</b>
+                    
+                    PA1, AROW, SCW
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="6.7" data-path="../binaryclass/titanic_rf.html">
+            
+                <a href="../binaryclass/titanic_rf.html">
+            
+                    
+                        <b>6.7.</b>
+                    
+                    Kaggle Titanic tutorial
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part VII - Multiclass classification</li>
+        
+        
+    
+        <li class="chapter " data-level="7.1" data-path="../multiclass/news20.html">
+            
+                <a href="../multiclass/news20.html">
+            
+                    
+                        <b>7.1.</b>
+                    
+                    News20 Multiclass tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="7.1.1" data-path="../multiclass/news20_dataset.html">
+            
+                <a href="../multiclass/news20_dataset.html">
+            
+                    
+                        <b>7.1.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.1.2" data-path="../multiclass/news20_one-vs-the-rest_dataset.html">
+            
+                <a href="../multiclass/news20_one-vs-the-rest_dataset.html">
+            
+                    
+                        <b>7.1.2.</b>
+                    
+                    Data preparation for one-vs-the-rest classifiers
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.1.3" data-path="../multiclass/news20_pa.html">
+            
+                <a href="../multiclass/news20_pa.html">
+            
+                    
+                        <b>7.1.3.</b>
+                    
+                    PA
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.1.4" data-path="../multiclass/news20_scw.html">
+            
+                <a href="../multiclass/news20_scw.html">
+            
+                    
+                        <b>7.1.4.</b>
+                    
+                    CW, AROW, SCW
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.1.5" data-path="../multiclass/news20_ensemble.html">
+            
+                <a href="../multiclass/news20_ensemble.html">
+            
+                    
+                        <b>7.1.5.</b>
+                    
+                    Ensemble learning
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.1.6" data-path="../multiclass/news20_one-vs-the-rest.html">
+            
+                <a href="../multiclass/news20_one-vs-the-rest.html">
+            
+                    
+                        <b>7.1.6.</b>
+                    
+                    one-vs-the-rest classifier
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="7.2" data-path="../multiclass/iris.html">
+            
+                <a href="../multiclass/iris.html">
+            
+                    
+                        <b>7.2.</b>
+                    
+                    Iris tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="7.2.1" data-path="../multiclass/iris_dataset.html">
+            
+                <a href="../multiclass/iris_dataset.html">
+            
+                    
+                        <b>7.2.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.2.2" data-path="../multiclass/iris_scw.html">
+            
+                <a href="../multiclass/iris_scw.html">
+            
+                    
+                        <b>7.2.2.</b>
+                    
+                    SCW
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="7.2.3" data-path="../multiclass/iris_randomforest.html">
+            
+                <a href="../multiclass/iris_randomforest.html">
+            
+                    
+                        <b>7.2.3.</b>
+                    
+                    Random Forest
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part VIII - Regression</li>
+        
+        
+    
+        <li class="chapter " data-level="8.1" data-path="../regression/general.html">
+            
+                <a href="../regression/general.html">
+            
+                    
+                        <b>8.1.</b>
+                    
+                    Regression
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="8.2" data-path="../regression/e2006.html">
+            
+                <a href="../regression/e2006.html">
+            
+                    
+                        <b>8.2.</b>
+                    
+                    E2006-tfidf regression tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="8.2.1" data-path="../regression/e2006_dataset.html">
+            
+                <a href="../regression/e2006_dataset.html">
+            
+                    
+                        <b>8.2.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="8.2.2" data-path="../regression/e2006_arow.html">
+            
+                <a href="../regression/e2006_arow.html">
+            
+                    
+                        <b>8.2.2.</b>
+                    
+                    Passive Aggressive, AROW
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="8.3" data-path="../regression/kddcup12tr2.html">
+            
+                <a href="../regression/kddcup12tr2.html">
+            
+                    
+                        <b>8.3.</b>
+                    
+                    KDDCup 2012 track 2 CTR prediction tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="8.3.1" data-path="../regression/kddcup12tr2_dataset.html">
+            
+                <a href="../regression/kddcup12tr2_dataset.html">
+            
+                    
+                        <b>8.3.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="8.3.2" data-path="../regression/kddcup12tr2_lr.html">
+            
+                <a href="../regression/kddcup12tr2_lr.html">
+            
+                    
+                        <b>8.3.2.</b>
+                    
+                    Logistic Regression, Passive Aggressive
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="8.3.3" data-path="../regression/kddcup12tr2_lr_amplify.html">
+            
+                <a href="../regression/kddcup12tr2_lr_amplify.html">
+            
+                    
+                        <b>8.3.3.</b>
+                    
+                    Logistic Regression with Amplifier
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="8.3.4" data-path="../regression/kddcup12tr2_adagrad.html">
+            
+                <a href="../regression/kddcup12tr2_adagrad.html">
+            
+                    
+                        <b>8.3.4.</b>
+                    
+                    AdaGrad, AdaDelta
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part IX - Recommendation</li>
+        
+        
+    
+        <li class="chapter " data-level="9.1" data-path="../recommend/cf.html">
+            
+                <a href="../recommend/cf.html">
+            
+                    
+                        <b>9.1.</b>
+                    
+                    Collaborative Filtering
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="9.1.1" data-path="../recommend/item_based_cf.html">
+            
+                <a href="../recommend/item_based_cf.html">
+            
+                    
+                        <b>9.1.1.</b>
+                    
+                    Item-based Collaborative Filtering
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="9.2" data-path="../recommend/news20.html">
+            
+                <a href="../recommend/news20.html">
+            
+                    
+                        <b>9.2.</b>
+                    
+                    News20 related article recommendation Tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="9.2.1" data-path="../multiclass/news20_dataset.html">
+            
+                <a href="../multiclass/news20_dataset.html">
+            
+                    
+                        <b>9.2.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.2.2" data-path="../recommend/news20_jaccard.html">
+            
+                <a href="../recommend/news20_jaccard.html">
+            
+                    
+                        <b>9.2.2.</b>
+                    
+                    LSH/Minhash and Jaccard Similarity
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.2.3" data-path="../recommend/news20_knn.html">
+            
+                <a href="../recommend/news20_knn.html">
+            
+                    
+                        <b>9.2.3.</b>
+                    
+                    LSH/Minhash and Brute-Force Search
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.2.4" data-path="../recommend/news20_bbit_minhash.html">
+            
+                <a href="../recommend/news20_bbit_minhash.html">
+            
+                    
+                        <b>9.2.4.</b>
+                    
+                    kNN search using b-Bits Minhash
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3" data-path="../recommend/movielens.html">
+            
+                <a href="../recommend/movielens.html">
+            
+                    
+                        <b>9.3.</b>
+                    
+                    MovieLens movie recommendation Tutorial
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="9.3.1" data-path="../recommend/movielens_dataset.html">
+            
+                <a href="../recommend/movielens_dataset.html">
+            
+                    
+                        <b>9.3.1.</b>
+                    
+                    Data preparation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3.2" data-path="../recommend/movielens_cf.html">
+            
+                <a href="../recommend/movielens_cf.html">
+            
+                    
+                        <b>9.3.2.</b>
+                    
+                    Item-based Collaborative Filtering
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3.3" data-path="../recommend/movielens_mf.html">
+            
+                <a href="../recommend/movielens_mf.html">
+            
+                    
+                        <b>9.3.3.</b>
+                    
+                    Matrix Factorization
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3.4" data-path="../recommend/movielens_fm.html">
+            
+                <a href="../recommend/movielens_fm.html">
+            
+                    
+                        <b>9.3.4.</b>
+                    
+                    Factorization Machine
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3.5" data-path="../recommend/movielens_slim.html">
+            
+                <a href="../recommend/movielens_slim.html">
+            
+                    
+                        <b>9.3.5.</b>
+                    
+                    SLIM for Fast Top-K Recommendation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="9.3.6" data-path="../recommend/movielens_cv.html">
+            
+                <a href="../recommend/movielens_cv.html">
+            
+                    
+                        <b>9.3.6.</b>
+                    
+                    10-fold Cross Validation (Matrix Factorization)
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part X - Anomaly Detection</li>
+        
+        
+    
+        <li class="chapter " data-level="10.1" data-path="../anomaly/lof.html">
+            
+                <a href="../anomaly/lof.html">
+            
+                    
+                        <b>10.1.</b>
+                    
+                    Outlier Detection using Local Outlier Factor (LOF)
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="10.2" data-path="../anomaly/sst.html">
+            
+                <a href="../anomaly/sst.html">
+            
+                    
+                        <b>10.2.</b>
+                    
+                    Change-Point Detection using Singular Spectrum Transformation (SST)
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="10.3" data-path="../anomaly/changefinder.html">
+            
+                <a href="../anomaly/changefinder.html">
+            
+                    
+                        <b>10.3.</b>
+                    
+                    ChangeFinder: Detecting Outlier and Change-Point Simultaneously
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part XI - Clustering</li>
+        
+        
+    
+        <li class="chapter " data-level="11.1" data-path="../clustering/lda.html">
+            
+                <a href="../clustering/lda.html">
+            
+                    
+                        <b>11.1.</b>
+                    
+                    Latent Dirichlet Allocation
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="11.2" data-path="../clustering/plsa.html">
+            
+                <a href="../clustering/plsa.html">
+            
+                    
+                        <b>11.2.</b>
+                    
+                    Probabilistic Latent Semantic Analysis
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part XII - GeoSpatial functions</li>
+        
+        
+    
+        <li class="chapter " data-level="12.1" data-path="../geospatial/latlon.html">
+            
+                <a href="../geospatial/latlon.html">
+            
+                    
+                        <b>12.1.</b>
+                    
+                    Lat/Lon functions
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part XIII - Hivemall on Spark</li>
+        
+        
+    
+        <li class="chapter " data-level="13.1" data-path="../spark/getting_started/">
+            
+                <a href="../spark/getting_started/">
+            
+                    
+                        <b>13.1.</b>
+                    
+                    Getting Started
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="13.1.1" data-path="../spark/getting_started/installation.html">
+            
+                <a href="../spark/getting_started/installation.html">
+            
+                    
+                        <b>13.1.1.</b>
+                    
+                    Installation
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="13.2" data-path="../spark/binaryclass/">
+            
+                <a href="../spark/binaryclass/">
+            
+                    
+                        <b>13.2.</b>
+                    
+                    Binary Classification
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="13.2.1" data-path="../spark/binaryclass/a9a_df.html">
+            
+                <a href="../spark/binaryclass/a9a_df.html">
+            
+                    
+                        <b>13.2.1.</b>
+                    
+                    a9a Tutorial for DataFrame
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="13.2.2" data-path="../spark/binaryclass/a9a_sql.html">
+            
+                <a href="../spark/binaryclass/a9a_sql.html">
+            
+                    
+                        <b>13.2.2.</b>
+                    
+                    a9a Tutorial for SQL
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="13.3" data-path="../spark/binaryclass/">
+            
+                <a href="../spark/binaryclass/">
+            
+                    
+                        <b>13.3.</b>
+                    
+                    Regression
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="13.3.1" data-path="../spark/regression/e2006_df.html">
+            
+                <a href="../spark/regression/e2006_df.html">
+            
+                    
+                        <b>13.3.1.</b>
+                    
+                    E2006-tfidf regression Tutorial for DataFrame
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="13.3.2" data-path="../spark/regression/e2006_sql.html">
+            
+                <a href="../spark/regression/e2006_sql.html">
+            
+                    
+                        <b>13.3.2.</b>
+                    
+                    E2006-tfidf regression Tutorial for SQL
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+        <li class="chapter " data-level="13.4" data-path="../spark/misc/misc.html">
+            
+                <a href="../spark/misc/misc.html">
+            
+                    
+                        <b>13.4.</b>
+                    
+                    Generic features
+            
+                </a>
+            
+
+            
+            <ul class="articles">
+                
+    
+        <li class="chapter " data-level="13.4.1" data-path="../spark/misc/topk_join.html">
+            
+                <a href="../spark/misc/topk_join.html">
+            
+                    
+                        <b>13.4.1.</b>
+                    
+                    Top-k Join processing
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="13.4.2" data-path="../spark/misc/functions.html">
+            
+                <a href="../spark/misc/functions.html">
+            
+                    
+                        <b>13.4.2.</b>
+                    
+                    Other utility functions
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+            </ul>
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part XIV - Hivemall on Docker</li>
+        
+        
+    
+        <li class="chapter " data-level="14.1" data-path="../docker/getting_started.html">
+            
+                <a href="../docker/getting_started.html">
+            
+                    
+                        <b>14.1.</b>
+                    
+                    Getting Started
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+        
+        <li class="header">Part XIV - External References</li>
+        
+        
+    
+        <li class="chapter " data-level="15.1" >
+            
+                <a target="_blank" href="https://github.com/maropu/hivemall-spark">
+            
+                    
+                        <b>15.1.</b>
+                    
+                    Hivemall on Apache Spark
+            
+                </a>
+            
+
+            
+        </li>
+    
+        <li class="chapter " data-level="15.2" >
+            
+                <a target="_blank" href="https://github.com/daijyc/hivemall/wiki/PigHome">
+            
+                    
+                        <b>15.2.</b>
+                    
+                    Hivemall on Apache Pig
+            
+                </a>
+            
+
+            
+        </li>
+    
+
+    
+
+    <li class="divider"></li>
+
+    <li>
+        <a href="https://www.gitbook.com" target="blank" class="gitbook-link">
+            Published with GitBook
+        </a>
+    </li>
+</ul>
+
+
+                </nav>
+            
+        
+    </div>
+
+    <div class="book-body">
+        
+            <div class="body-inner">
+                
+                    
+
+<div class="book-header" role="navigation">
+    
+
+    <!-- Title -->
+    <h1>
+        <i class="fa fa-circle-o-notch fa-spin"></i>
+        <a href=".." >Approximate Aggregate Functions</a>
+    </h1>
+</div>
+
+
+
+
+                    <div class="page-wrapper" tabindex="-1" role="main">
+                        <div class="page-inner">
+                            
+<div id="book-search-results">
+    <div class="search-noresults">
+    
+                                <section class="normal markdown-section">
+                                
+                                <!--
+  Licensed to the Apache Software Foundation (ASF) under one
+  or more contributor license agreements.  See the NOTICE file
+  distributed with this work for additional information
+  regarding copyright ownership.  The ASF licenses this file
+  to you under the Apache License, Version 2.0 (the
+  "License"); you may not use this file except in compliance
+  with the License.  You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+  Unless required by applicable law or agreed to in writing,
+  software distributed under the License is distributed on an
+  "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+  KIND, either express or implied.  See the License for the
+  specific language governing permissions and limitations
+  under the License.
+-->
+<!-- toc --><div id="toc" class="toc">
+
+<ul>
+<li><a href="#approximate-counting-using-hyperloglog">Approximate Counting using HyperLogLog</a><ul>
+<li><a href="#usage">Usage</a></li>
+<li><a href="#function-signature">Function Signature</a></li>
+</ul>
+</li>
+</ul>
+
+</div><!-- tocstop -->
+<h1 id="approximate-counting-using-hyperloglog">Approximate Counting using HyperLogLog</h1>
+<p><code>count(distinct value)</code> can often cause memory exhausted errors where input data and the cardinarity of value are large.</p>
+<p><a href="https://en.wikipedia.org/wiki/HyperLogLog" target="_blank">HyperLogLog</a> is an efficient algorithm for approximating the number of distinct elements in a <a href="https://en.wikipedia.org/wiki/Multiset" target="_blank">multiset</a>. 
+Hivemall implements <a href="https://en.wikipedia.org/wiki/HyperLogLog#HLL.2B.2B" target="_blank">HyperLogLog++</a> in <code>approx_count_distinct</code>.</p>
+<h2 id="usage">Usage</h2>
+<p><code>approx_count_distinct</code> is less accurate than COUNT(DISTINCT expression), but performs better on huge input.</p>
+<pre><code class="lang-sql"><span class="hljs-keyword">select</span>
+    <span class="hljs-keyword">count</span>(<span class="hljs-keyword">distinct</span> <span class="hljs-keyword">rowid</span>) <span class="hljs-keyword">as</span> actual,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>) <span class="hljs-keyword">as</span> default_p 
+<span class="hljs-keyword">from</span>
+    train;
+</code></pre>
+<table>
+<thead>
+<tr>
+<th style="text-align:center">actual</th>
+<th style="text-align:center">default_p</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td style="text-align:center">45840617</td>
+<td style="text-align:center">45567770</td>
+</tr>
+</tbody>
+</table>
+<pre><code class="lang-sql"><span class="hljs-keyword">select</span>
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 4&apos;</span>) <span class="hljs-keyword">as</span> p4,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 6 -sp 6&apos;</span>) <span class="hljs-keyword">as</span> p6_sp6,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 14&apos;</span>) <span class="hljs-keyword">as</span> p14,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 15&apos;</span>) <span class="hljs-keyword">as</span> p15,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 16&apos;</span>) <span class="hljs-keyword">as</span> p16,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 24&apos;</span>) <span class="hljs-keyword">as</span> p24,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 25&apos;</span>) <span class="hljs-keyword">as</span> p25,
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-p 15 -sp 15&apos;</span>) <span class="hljs-keyword">as</span> p15_sp15
+<span class="hljs-keyword">from</span>
+    train;
+</code></pre>
+<table>
+<thead>
+<tr>
+<th style="text-align:center">p4</th>
+<th style="text-align:center">p6_sp6</th>
+<th style="text-align:center">p14</th>
+<th style="text-align:center">p15</th>
+<th style="text-align:center">p16</th>
+<th style="text-align:center">p24</th>
+<th style="text-align:center">p25</th>
+<th style="text-align:center">p15_sp15</th>
+</tr>
+</thead>
+<tbody>
+<tr>
+<td style="text-align:center">38033066</td>
+<td style="text-align:center">49332600</td>
+<td style="text-align:center">45051015</td>
+<td style="text-align:center">45567770</td>
+<td style="text-align:center">45614484</td>
+<td style="text-align:center">45831359</td>
+<td style="text-align:center">45832280</td>
+<td style="text-align:center">45567770</td>
+</tr>
+</tbody>
+</table>
+<div class="panel panel-primary"><div class="panel-heading"><h3 class="panel-title" id="note"><i class="fa fa-edit"></i> Note</h3></div><div class="panel-body"><p><code>p</code> controls expected precision and memory consumption tradeoff and <code>default p=15</code> generally works well. Find More information on <a href="https://research.google.com/pubs/pub40671.html" target="_blank">this paper</a>.</p></div></div>
+<h2 id="function-signature">Function Signature</h2>
+<p>You can find the function signature and options of <code>approx_count_distinct</code> is as follows:</p>
+<pre><code class="lang-sql"><span class="hljs-keyword">select</span> 
+    approx_count_distinct(<span class="hljs-keyword">rowid</span>, <span class="hljs-string">&apos;-help&apos;</span>)
+<span class="hljs-keyword">from</span>
+    train;
+</code></pre>
+<pre><code>usage: HLLEvaluator [-help] [-p &lt;arg&gt;] [-sp &lt;arg&gt;]
+ -help       Show function help
+ -p &lt;arg&gt;    The size of registers for the normal set. `p` MUST be in the
+             range [4,sp] and 15 by the default
+ -sp &lt;arg&gt;   The size of registers for the sparse set. `sp` MUST be in the
+             range [4,32] and 25 by the defaul
+</code></pre><p><div id="page-footer" class="localized-footer"><hr><!--
+  Licensed to the Apache Software Foundation (ASF) under one
+  or more contributor license agreements.  See the NOTICE file
+  distributed with this work for additional information
+  regarding copyright ownership.  The ASF licenses this file
+  to you under the Apache License, Version 2.0 (the
+  "License"); you may not use this file except in compliance
+  with the License.  You may obtain a copy of the License at
+
+    http://www.apache.org/licenses/LICENSE-2.0
+
+  Unless required by applicable law or agreed to in writing,
+  software distributed under the License is distributed on an
+  "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+  KIND, either express or implied.  See the License for the
+  specific language governing permissions and limitations
+  under the License.
+-->
+<p><sub><font color="gray">
+Apache Hivemall is an effort undergoing incubation at The Apache Software Foundation (ASF), sponsored by the Apache Incubator.
+</font></sub></p>
+</div></p>
+
+                                
+                                </section>
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/misc/generic_funcs.html
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diff --git a/userguide/misc/generic_funcs.html b/userguide/misc/generic_funcs.html
index 6663eb5..6f2aa0b 100644
--- a/userguide/misc/generic_funcs.html
+++ b/userguide/misc/generic_funcs.html
@@ -7,7 +7,7 @@
         <title>List of generic Hivemall functions · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="approx.html">
+            
+                <a href="approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2431,6 +2446,12 @@ The compression level must be in range [-1,9]</p>
   &gt; [&quot;kuromoji&quot;,&quot;&#x4F7F;&#x3046;&quot;,&quot;&#x5206;&#x304B;&#x3061;&#x66F8;&#x304D;&quot;,&quot;&#x30C6;&#x30B9;&#x30C8;&quot;,&quot;&#x7B2C;&quot;,&quot;&#x4E8C;&quot;,&quot;&#x5F15;&#x6570;&quot;,&quot;normal&quot;,&quot;search&quot;,&quot;extended&quot;,&quot;&#x6307;&#x5B9A;&quot;,&quot;&#x30C7;&#x30D5;&#x30A9;&#x30EB;&#x30C8;&quot;,&quot;normal&quot;,&quot; &#x30E2;&#x30FC;&#x30C9;&quot;]
 </code></pre>
 </li>
+<li><p><code>word_ngrams(array&lt;string&gt; words, int minSize, int maxSize)</code> - Returns list of n-grams where <code>minSize &lt;= n &lt;= maxSize</code></p>
+<pre><code class="lang-sql">  select word_ngrams(tokenize(&apos;Machine learning is fun!&apos;, true), 1, 2);
+
+  &gt; [&quot;machine&quot;,&quot;machine learning&quot;,&quot;learning&quot;,&quot;learning is&quot;,&quot;is&quot;,&quot;is fun&quot;,&quot;fun&quot;]
+</code></pre>
+</li>
 </ul>
 <h1 id="other-functions">Other functions</h1>
 <ul>
@@ -2512,7 +2533,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[06/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/recommend/news20_bbit_minhash.html
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diff --git a/userguide/recommend/news20_bbit_minhash.html b/userguide/recommend/news20_bbit_minhash.html
index f513a63..92af84c 100644
--- a/userguide/recommend/news20_bbit_minhash.html
+++ b/userguide/recommend/news20_bbit_minhash.html
@@ -7,7 +7,7 @@
         <title>kNN search using b-Bits Minhash · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2345,7 +2360,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
     <script>
         var gitbook = gitbook || [];
         gitbook.push(function() {
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/recommend/news20_jaccard.html
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diff --git a/userguide/recommend/news20_jaccard.html b/userguide/recommend/news20_jaccard.html
index 3da4ed9..687515a 100644
--- a/userguide/recommend/news20_jaccard.html
+++ b/userguide/recommend/news20_jaccard.html
@@ -7,7 +7,7 @@
         <title>LSH/Minhash and Jaccard Similarity · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2366,7 +2381,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/recommend/news20_knn.html
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diff --git a/userguide/recommend/news20_knn.html b/userguide/recommend/news20_knn.html
index 7cb4b04..162baac 100644
--- a/userguide/recommend/news20_knn.html
+++ b/userguide/recommend/news20_knn.html
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+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
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+            
+
+            
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+    
 
     
         
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+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
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+    
 
     
         
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+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
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+            
+
+            
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+    
 
     
         
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+                    
+                    Approximate Aggregate Functions
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/regression/kddcup12tr2_dataset.html
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diff --git a/userguide/regression/kddcup12tr2_dataset.html b/userguide/regression/kddcup12tr2_dataset.html
index ccaa7ae..e24ee1a 100644
--- a/userguide/regression/kddcup12tr2_dataset.html
+++ b/userguide/regression/kddcup12tr2_dataset.html
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         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2504,7 +2519,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/regression/kddcup12tr2_lr.html
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diff --git a/userguide/regression/kddcup12tr2_lr.html b/userguide/regression/kddcup12tr2_lr.html
index b484bb5..12010f6 100644
--- a/userguide/regression/kddcup12tr2_lr.html
+++ b/userguide/regression/kddcup12tr2_lr.html
@@ -7,7 +7,7 @@
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         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
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@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2405,7 +2420,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[03/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/sitemap.xml
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diff --git a/userguide/sitemap.xml b/userguide/sitemap.xml
index 60d3bda..fd4f9f1 100644
--- a/userguide/sitemap.xml
+++ b/userguide/sitemap.xml
@@ -24,6 +24,7 @@
 <url> <loc>http://hivemall.incubator.apache.org/misc/generic_funcs.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
 <url> <loc>http://hivemall.incubator.apache.org/misc/topk.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
 <url> <loc>http://hivemall.incubator.apache.org/misc/tokenizer.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
+<url> <loc>http://hivemall.incubator.apache.org/misc/approx.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
 <url> <loc>http://hivemall.incubator.apache.org/ft_engineering/scaling.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
 <url> <loc>http://hivemall.incubator.apache.org/ft_engineering/hashing.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>
 <url> <loc>http://hivemall.incubator.apache.org/ft_engineering/selection.html</loc> <changefreq>weekly</changefreq> <priority>0.5</priority> </url>

http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/spark/binaryclass/a9a_df.html
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diff --git a/userguide/spark/binaryclass/a9a_df.html b/userguide/spark/binaryclass/a9a_df.html
index b0862ed..1e52049 100644
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+++ b/userguide/spark/binaryclass/a9a_df.html
@@ -7,7 +7,7 @@
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/tips/addbias.html
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diff --git a/userguide/tips/addbias.html b/userguide/tips/addbias.html
index 77d2b34..a17d369 100644
--- a/userguide/tips/addbias.html
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+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2289,7 +2304,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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[14/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/binaryclass/webspam_scw.html
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diff --git a/userguide/binaryclass/webspam_scw.html b/userguide/binaryclass/webspam_scw.html
index ecfa21f..476cc6b 100644
--- a/userguide/binaryclass/webspam_scw.html
+++ b/userguide/binaryclass/webspam_scw.html
@@ -7,7 +7,7 @@
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+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2385,7 +2400,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/clustering/lda.html
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diff --git a/userguide/clustering/lda.html b/userguide/clustering/lda.html
index a83b2c5..5427b42 100644
--- a/userguide/clustering/lda.html
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@@ -7,7 +7,7 @@
         <title>Latent Dirichlet Allocation · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
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@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2549,7 +2564,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
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+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
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[12/16] incubator-hivemall-site git commit: Updated userguide for Hyperloglog

Posted by my...@apache.org.
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/getting_started/installation.html
----------------------------------------------------------------------
diff --git a/userguide/getting_started/installation.html b/userguide/getting_started/installation.html
index c5c887c..f9354fa 100644
--- a/userguide/getting_started/installation.html
+++ b/userguide/getting_started/installation.html
@@ -7,7 +7,7 @@
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+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2284,7 +2299,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/7a0f5c1d/userguide/getting_started/permanent-functions.html
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diff --git a/userguide/getting_started/permanent-functions.html b/userguide/getting_started/permanent-functions.html
index 65d0fb2..8bb30b7 100644
--- a/userguide/getting_started/permanent-functions.html
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@@ -7,7 +7,7 @@
         <title>Install as permanent functions · Hivemall User Manual</title>
         <meta http-equiv="X-UA-Compatible" content="IE=edge" />
         <meta name="description" content="">
-        <meta name="generator" content="GitBook 3.2.2">
+        <meta name="generator" content="GitBook 3.2.3">
         
         
         
@@ -531,6 +531,21 @@
             
         </li>
     
+        <li class="chapter " data-level="2.4" data-path="../misc/approx.html">
+            
+                <a href="../misc/approx.html">
+            
+                    
+                        <b>2.4.</b>
+                    
+                    Approximate Aggregate Functions
+            
+                </a>
+            
+
+            
+        </li>
+    
 
     
         
@@ -2288,7 +2303,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
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