You are viewing a plain text version of this content. The canonical link for it is here.
Posted to commits@hivemall.apache.org by my...@apache.org on 2017/06/15 10:36:12 UTC
[27/51] [partial] incubator-hivemall-site git commit: Updated
userguide for dimsum and general classifier/regressor
http://git-wip-us.apache.org/repos/asf/incubator-hivemall-site/blob/f103c424/userguide/geospatial/latlon.html
----------------------------------------------------------------------
diff --git a/userguide/geospatial/latlon.html b/userguide/geospatial/latlon.html
index 336a73c..02fecbd 100644
--- a/userguide/geospatial/latlon.html
+++ b/userguide/geospatial/latlon.html
@@ -761,18 +761,70 @@
- <li class="header">Part V - Binary classification</li>
+ <li class="header">Part V - Prediction</li>
- <li class="chapter " data-level="5.1" data-path="../binaryclass/a9a.html">
+ <li class="chapter " data-level="5.1" data-path="../misc/prediction.html">
- <a href="../binaryclass/a9a.html">
+ <a href="../misc/prediction.html">
<b>5.1.</b>
- a9a Tutorial
+ How Prediction Works
+
+ </a>
+
+
+
+ </li>
+
+ <li class="chapter " data-level="5.2" data-path="../regression/general.html">
+
+ <a href="../regression/general.html">
+
+
+ <b>5.2.</b>
+
+ Regression
+
+ </a>
+
+
+
+ </li>
+
+ <li class="chapter " data-level="5.3" data-path="../binaryclass/general.html">
+
+ <a href="../binaryclass/general.html">
+
+
+ <b>5.3.</b>
+
+ Binary Classification
+
+ </a>
+
+
+
+ </li>
+
+
+
+
+ <li class="header">Part VI - Binary classification tutorials</li>
+
+
+
+ <li class="chapter " data-level="6.1" data-path="../binaryclass/a9a.html">
+
+ <a href="../binaryclass/a9a.html">
+
+
+ <b>6.1.</b>
+
+ a9a
</a>
@@ -781,12 +833,12 @@
<ul class="articles">
- <li class="chapter " data-level="5.1.1" data-path="../binaryclass/a9a_dataset.html">
+ <li class="chapter " data-level="6.1.1" data-path="../binaryclass/a9a_dataset.html">
<a href="../binaryclass/a9a_dataset.html">
- <b>5.1.1.</b>
+ <b>6.1.1.</b>
Data preparation
@@ -796,12 +848,12 @@
</li>
- <li class="chapter " data-level="5.1.2" data-path="../binaryclass/a9a_lr.html">
+ <li class="chapter " data-level="6.1.2" data-path="../binaryclass/a9a_lr.html">
<a href="../binaryclass/a9a_lr.html">
- <b>5.1.2.</b>
+ <b>6.1.2.</b>
Logistic Regression
@@ -811,12 +863,12 @@
</li>
- <li class="chapter " data-level="5.1.3" data-path="../binaryclass/a9a_minibatch.html">
+ <li class="chapter " data-level="6.1.3" data-path="../binaryclass/a9a_minibatch.html">
<a href="../binaryclass/a9a_minibatch.html">
- <b>5.1.3.</b>
+ <b>6.1.3.</b>
Mini-batch Gradient Descent
@@ -831,14 +883,14 @@
</li>
- <li class="chapter " data-level="5.2" data-path="../binaryclass/news20.html">
+ <li class="chapter " data-level="6.2" data-path="../binaryclass/news20.html">
<a href="../binaryclass/news20.html">
- <b>5.2.</b>
+ <b>6.2.</b>
- News20 Tutorial
+ News20
</a>
@@ -847,12 +899,12 @@
<ul class="articles">
- <li class="chapter " data-level="5.2.1" data-path="../binaryclass/news20_dataset.html">
+ <li class="chapter " data-level="6.2.1" data-path="../binaryclass/news20_dataset.html">
<a href="../binaryclass/news20_dataset.html">
- <b>5.2.1.</b>
+ <b>6.2.1.</b>
Data preparation
@@ -862,12 +914,12 @@
</li>
- <li class="chapter " data-level="5.2.2" data-path="../binaryclass/news20_pa.html">
+ <li class="chapter " data-level="6.2.2" data-path="../binaryclass/news20_pa.html">
<a href="../binaryclass/news20_pa.html">
- <b>5.2.2.</b>
+ <b>6.2.2.</b>
Perceptron, Passive Aggressive
@@ -877,12 +929,12 @@
</li>
- <li class="chapter " data-level="5.2.3" data-path="../binaryclass/news20_scw.html">
+ <li class="chapter " data-level="6.2.3" data-path="../binaryclass/news20_scw.html">
<a href="../binaryclass/news20_scw.html">
- <b>5.2.3.</b>
+ <b>6.2.3.</b>
CW, AROW, SCW
@@ -892,12 +944,12 @@
</li>
- <li class="chapter " data-level="5.2.4" data-path="../binaryclass/news20_adagrad.html">
+ <li class="chapter " data-level="6.2.4" data-path="../binaryclass/news20_adagrad.html">
<a href="../binaryclass/news20_adagrad.html">
- <b>5.2.4.</b>
+ <b>6.2.4.</b>
AdaGradRDA, AdaGrad, AdaDelta
@@ -912,14 +964,14 @@
</li>
- <li class="chapter " data-level="5.3" data-path="../binaryclass/kdd2010a.html">
+ <li class="chapter " data-level="6.3" data-path="../binaryclass/kdd2010a.html">
<a href="../binaryclass/kdd2010a.html">
- <b>5.3.</b>
+ <b>6.3.</b>
- KDD2010a Tutorial
+ KDD2010a
</a>
@@ -928,12 +980,12 @@
<ul class="articles">
- <li class="chapter " data-level="5.3.1" data-path="../binaryclass/kdd2010a_dataset.html">
+ <li class="chapter " data-level="6.3.1" data-path="../binaryclass/kdd2010a_dataset.html">
<a href="../binaryclass/kdd2010a_dataset.html">
- <b>5.3.1.</b>
+ <b>6.3.1.</b>
Data preparation
@@ -943,12 +995,12 @@
</li>
- <li class="chapter " data-level="5.3.2" data-path="../binaryclass/kdd2010a_scw.html">
+ <li class="chapter " data-level="6.3.2" data-path="../binaryclass/kdd2010a_scw.html">
<a href="../binaryclass/kdd2010a_scw.html">
- <b>5.3.2.</b>
+ <b>6.3.2.</b>
PA, CW, AROW, SCW
@@ -963,14 +1015,14 @@
</li>
- <li class="chapter " data-level="5.4" data-path="../binaryclass/kdd2010b.html">
+ <li class="chapter " data-level="6.4" data-path="../binaryclass/kdd2010b.html">
<a href="../binaryclass/kdd2010b.html">
- <b>5.4.</b>
+ <b>6.4.</b>
- KDD2010b Tutorial
+ KDD2010b
</a>
@@ -979,12 +1031,12 @@
<ul class="articles">
- <li class="chapter " data-level="5.4.1" data-path="../binaryclass/kdd2010b_dataset.html">
+ <li class="chapter " data-level="6.4.1" data-path="../binaryclass/kdd2010b_dataset.html">
<a href="../binaryclass/kdd2010b_dataset.html">
- <b>5.4.1.</b>
+ <b>6.4.1.</b>
Data preparation
@@ -994,12 +1046,12 @@
</li>
- <li class="chapter " data-level="5.4.2" data-path="../binaryclass/kdd2010b_arow.html">
+ <li class="chapter " data-level="6.4.2" data-path="../binaryclass/kdd2010b_arow.html">
<a href="../binaryclass/kdd2010b_arow.html">
- <b>5.4.2.</b>
+ <b>6.4.2.</b>
AROW
@@ -1014,14 +1066,14 @@
</li>
- <li class="chapter " data-level="5.5" data-path="../binaryclass/webspam.html">
+ <li class="chapter " data-level="6.5" data-path="../binaryclass/webspam.html">
<a href="../binaryclass/webspam.html">
- <b>5.5.</b>
+ <b>6.5.</b>
- Webspam Tutorial
+ Webspam
</a>
@@ -1030,12 +1082,12 @@
<ul class="articles">
- <li class="chapter " data-level="5.5.1" data-path="../binaryclass/webspam_dataset.html">
+ <li class="chapter " data-level="6.5.1" data-path="../binaryclass/webspam_dataset.html">
<a href="../binaryclass/webspam_dataset.html">
- <b>5.5.1.</b>
+ <b>6.5.1.</b>
Data pareparation
@@ -1045,12 +1097,12 @@
</li>
- <li class="chapter " data-level="5.5.2" data-path="../binaryclass/webspam_scw.html">
+ <li class="chapter " data-level="6.5.2" data-path="../binaryclass/webspam_scw.html">
<a href="../binaryclass/webspam_scw.html">
- <b>5.5.2.</b>
+ <b>6.5.2.</b>
PA1, AROW, SCW
@@ -1065,14 +1117,14 @@
</li>
- <li class="chapter " data-level="5.6" data-path="../binaryclass/titanic_rf.html">
+ <li class="chapter " data-level="6.6" data-path="../binaryclass/titanic_rf.html">
<a href="../binaryclass/titanic_rf.html">
- <b>5.6.</b>
+ <b>6.6.</b>
- Kaggle Titanic Tutorial
+ Kaggle Titanic
</a>
@@ -1083,18 +1135,18 @@
- <li class="header">Part VI - Multiclass classification</li>
+ <li class="header">Part VII - Multiclass classification tutorials</li>
- <li class="chapter " data-level="6.1" data-path="../multiclass/news20.html">
+ <li class="chapter " data-level="7.1" data-path="../multiclass/news20.html">
<a href="../multiclass/news20.html">
- <b>6.1.</b>
+ <b>7.1.</b>
- News20 Multiclass Tutorial
+ News20 Multiclass
</a>
@@ -1103,12 +1155,12 @@
<ul class="articles">
- <li class="chapter " data-level="6.1.1" data-path="../multiclass/news20_dataset.html">
+ <li class="chapter " data-level="7.1.1" data-path="../multiclass/news20_dataset.html">
<a href="../multiclass/news20_dataset.html">
- <b>6.1.1.</b>
+ <b>7.1.1.</b>
Data preparation
@@ -1118,12 +1170,12 @@
</li>
- <li class="chapter " data-level="6.1.2" data-path="../multiclass/news20_one-vs-the-rest_dataset.html">
+ <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>6.1.2.</b>
+ <b>7.1.2.</b>
Data preparation for one-vs-the-rest classifiers
@@ -1133,12 +1185,12 @@
</li>
- <li class="chapter " data-level="6.1.3" data-path="../multiclass/news20_pa.html">
+ <li class="chapter " data-level="7.1.3" data-path="../multiclass/news20_pa.html">
<a href="../multiclass/news20_pa.html">
- <b>6.1.3.</b>
+ <b>7.1.3.</b>
PA
@@ -1148,12 +1200,12 @@
</li>
- <li class="chapter " data-level="6.1.4" data-path="../multiclass/news20_scw.html">
+ <li class="chapter " data-level="7.1.4" data-path="../multiclass/news20_scw.html">
<a href="../multiclass/news20_scw.html">
- <b>6.1.4.</b>
+ <b>7.1.4.</b>
CW, AROW, SCW
@@ -1163,12 +1215,12 @@
</li>
- <li class="chapter " data-level="6.1.5" data-path="../multiclass/news20_ensemble.html">
+ <li class="chapter " data-level="7.1.5" data-path="../multiclass/news20_ensemble.html">
<a href="../multiclass/news20_ensemble.html">
- <b>6.1.5.</b>
+ <b>7.1.5.</b>
Ensemble learning
@@ -1178,12 +1230,12 @@
</li>
- <li class="chapter " data-level="6.1.6" data-path="../multiclass/news20_one-vs-the-rest.html">
+ <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>6.1.6.</b>
+ <b>7.1.6.</b>
one-vs-the-rest classifier
@@ -1198,14 +1250,14 @@
</li>
- <li class="chapter " data-level="6.2" data-path="../multiclass/iris.html">
+ <li class="chapter " data-level="7.2" data-path="../multiclass/iris.html">
<a href="../multiclass/iris.html">
- <b>6.2.</b>
+ <b>7.2.</b>
- Iris Tutorial
+ Iris
</a>
@@ -1214,12 +1266,12 @@
<ul class="articles">
- <li class="chapter " data-level="6.2.1" data-path="../multiclass/iris_dataset.html">
+ <li class="chapter " data-level="7.2.1" data-path="../multiclass/iris_dataset.html">
<a href="../multiclass/iris_dataset.html">
- <b>6.2.1.</b>
+ <b>7.2.1.</b>
Data preparation
@@ -1229,12 +1281,12 @@
</li>
- <li class="chapter " data-level="6.2.2" data-path="../multiclass/iris_scw.html">
+ <li class="chapter " data-level="7.2.2" data-path="../multiclass/iris_scw.html">
<a href="../multiclass/iris_scw.html">
- <b>6.2.2.</b>
+ <b>7.2.2.</b>
SCW
@@ -1244,12 +1296,12 @@
</li>
- <li class="chapter " data-level="6.2.3" data-path="../multiclass/iris_randomforest.html">
+ <li class="chapter " data-level="7.2.3" data-path="../multiclass/iris_randomforest.html">
<a href="../multiclass/iris_randomforest.html">
- <b>6.2.3.</b>
+ <b>7.2.3.</b>
RandomForest
@@ -1267,18 +1319,18 @@
- <li class="header">Part VII - Regression</li>
+ <li class="header">Part VIII - Regression tutorials</li>
- <li class="chapter " data-level="7.1" data-path="../regression/e2006.html">
+ <li class="chapter " data-level="8.1" data-path="../regression/e2006.html">
<a href="../regression/e2006.html">
- <b>7.1.</b>
+ <b>8.1.</b>
- E2006-tfidf regression Tutorial
+ E2006-tfidf regression
</a>
@@ -1287,12 +1339,12 @@
<ul class="articles">
- <li class="chapter " data-level="7.1.1" data-path="../regression/e2006_dataset.html">
+ <li class="chapter " data-level="8.1.1" data-path="../regression/e2006_dataset.html">
<a href="../regression/e2006_dataset.html">
- <b>7.1.1.</b>
+ <b>8.1.1.</b>
Data preparation
@@ -1302,12 +1354,12 @@
</li>
- <li class="chapter " data-level="7.1.2" data-path="../regression/e2006_arow.html">
+ <li class="chapter " data-level="8.1.2" data-path="../regression/e2006_arow.html">
<a href="../regression/e2006_arow.html">
- <b>7.1.2.</b>
+ <b>8.1.2.</b>
Passive Aggressive, AROW
@@ -1322,14 +1374,14 @@
</li>
- <li class="chapter " data-level="7.2" data-path="../regression/kddcup12tr2.html">
+ <li class="chapter " data-level="8.2" data-path="../regression/kddcup12tr2.html">
<a href="../regression/kddcup12tr2.html">
- <b>7.2.</b>
+ <b>8.2.</b>
- KDDCup 2012 track 2 CTR prediction Tutorial
+ KDDCup 2012 track 2 CTR prediction
</a>
@@ -1338,12 +1390,12 @@
<ul class="articles">
- <li class="chapter " data-level="7.2.1" data-path="../regression/kddcup12tr2_dataset.html">
+ <li class="chapter " data-level="8.2.1" data-path="../regression/kddcup12tr2_dataset.html">
<a href="../regression/kddcup12tr2_dataset.html">
- <b>7.2.1.</b>
+ <b>8.2.1.</b>
Data preparation
@@ -1353,12 +1405,12 @@
</li>
- <li class="chapter " data-level="7.2.2" data-path="../regression/kddcup12tr2_lr.html">
+ <li class="chapter " data-level="8.2.2" data-path="../regression/kddcup12tr2_lr.html">
<a href="../regression/kddcup12tr2_lr.html">
- <b>7.2.2.</b>
+ <b>8.2.2.</b>
Logistic Regression, Passive Aggressive
@@ -1368,12 +1420,12 @@
</li>
- <li class="chapter " data-level="7.2.3" data-path="../regression/kddcup12tr2_lr_amplify.html">
+ <li class="chapter " data-level="8.2.3" data-path="../regression/kddcup12tr2_lr_amplify.html">
<a href="../regression/kddcup12tr2_lr_amplify.html">
- <b>7.2.3.</b>
+ <b>8.2.3.</b>
Logistic Regression with Amplifier
@@ -1383,12 +1435,12 @@
</li>
- <li class="chapter " data-level="7.2.4" data-path="../regression/kddcup12tr2_adagrad.html">
+ <li class="chapter " data-level="8.2.4" data-path="../regression/kddcup12tr2_adagrad.html">
<a href="../regression/kddcup12tr2_adagrad.html">
- <b>7.2.4.</b>
+ <b>8.2.4.</b>
AdaGrad, AdaDelta
@@ -1406,16 +1458,16 @@
- <li class="header">Part VIII - Recommendation</li>
+ <li class="header">Part IX - Recommendation</li>
- <li class="chapter " data-level="8.1" data-path="../recommend/cf.html">
+ <li class="chapter " data-level="9.1" data-path="../recommend/cf.html">
<a href="../recommend/cf.html">
- <b>8.1.</b>
+ <b>9.1.</b>
Collaborative Filtering
@@ -1426,12 +1478,12 @@
<ul class="articles">
- <li class="chapter " data-level="8.1.1" data-path="../recommend/item_based_cf.html">
+ <li class="chapter " data-level="9.1.1" data-path="../recommend/item_based_cf.html">
<a href="../recommend/item_based_cf.html">
- <b>8.1.1.</b>
+ <b>9.1.1.</b>
Item-based Collaborative Filtering
@@ -1446,12 +1498,12 @@
</li>
- <li class="chapter " data-level="8.2" data-path="../recommend/news20.html">
+ <li class="chapter " data-level="9.2" data-path="../recommend/news20.html">
<a href="../recommend/news20.html">
- <b>8.2.</b>
+ <b>9.2.</b>
News20 related article recommendation Tutorial
@@ -1462,12 +1514,12 @@
<ul class="articles">
- <li class="chapter " data-level="8.2.1" data-path="../multiclass/news20_dataset.html">
+ <li class="chapter " data-level="9.2.1" data-path="../multiclass/news20_dataset.html">
<a href="../multiclass/news20_dataset.html">
- <b>8.2.1.</b>
+ <b>9.2.1.</b>
Data preparation
@@ -1477,12 +1529,12 @@
</li>
- <li class="chapter " data-level="8.2.2" data-path="../recommend/news20_jaccard.html">
+ <li class="chapter " data-level="9.2.2" data-path="../recommend/news20_jaccard.html">
<a href="../recommend/news20_jaccard.html">
- <b>8.2.2.</b>
+ <b>9.2.2.</b>
LSH/Minhash and Jaccard Similarity
@@ -1492,12 +1544,12 @@
</li>
- <li class="chapter " data-level="8.2.3" data-path="../recommend/news20_knn.html">
+ <li class="chapter " data-level="9.2.3" data-path="../recommend/news20_knn.html">
<a href="../recommend/news20_knn.html">
- <b>8.2.3.</b>
+ <b>9.2.3.</b>
LSH/Minhash and Brute-Force Search
@@ -1507,12 +1559,12 @@
</li>
- <li class="chapter " data-level="8.2.4" data-path="../recommend/news20_bbit_minhash.html">
+ <li class="chapter " data-level="9.2.4" data-path="../recommend/news20_bbit_minhash.html">
<a href="../recommend/news20_bbit_minhash.html">
- <b>8.2.4.</b>
+ <b>9.2.4.</b>
kNN search using b-Bits Minhash
@@ -1527,12 +1579,12 @@
</li>
- <li class="chapter " data-level="8.3" data-path="../recommend/movielens.html">
+ <li class="chapter " data-level="9.3" data-path="../recommend/movielens.html">
<a href="../recommend/movielens.html">
- <b>8.3.</b>
+ <b>9.3.</b>
MovieLens movie recommendation Tutorial
@@ -1543,12 +1595,12 @@
<ul class="articles">
- <li class="chapter " data-level="8.3.1" data-path="../recommend/movielens_dataset.html">
+ <li class="chapter " data-level="9.3.1" data-path="../recommend/movielens_dataset.html">
<a href="../recommend/movielens_dataset.html">
- <b>8.3.1.</b>
+ <b>9.3.1.</b>
Data preparation
@@ -1558,12 +1610,27 @@
</li>
- <li class="chapter " data-level="8.3.2" data-path="../recommend/movielens_mf.html">
+ <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>8.3.2.</b>
+ <b>9.3.3.</b>
Matrix Factorization
@@ -1573,12 +1640,12 @@
</li>
- <li class="chapter " data-level="8.3.3" data-path="../recommend/movielens_fm.html">
+ <li class="chapter " data-level="9.3.4" data-path="../recommend/movielens_fm.html">
<a href="../recommend/movielens_fm.html">
- <b>8.3.3.</b>
+ <b>9.3.4.</b>
Factorization Machine
@@ -1588,12 +1655,12 @@
</li>
- <li class="chapter " data-level="8.3.4" data-path="../recommend/movielens_cv.html">
+ <li class="chapter " data-level="9.3.5" data-path="../recommend/movielens_cv.html">
<a href="../recommend/movielens_cv.html">
- <b>8.3.4.</b>
+ <b>9.3.5.</b>
10-fold Cross Validation (Matrix Factorization)
@@ -1611,16 +1678,16 @@
- <li class="header">Part IX - Anomaly Detection</li>
+ <li class="header">Part X - Anomaly Detection</li>
- <li class="chapter " data-level="9.1" data-path="../anomaly/lof.html">
+ <li class="chapter " data-level="10.1" data-path="../anomaly/lof.html">
<a href="../anomaly/lof.html">
- <b>9.1.</b>
+ <b>10.1.</b>
Outlier Detection using Local Outlier Factor (LOF)
@@ -1630,12 +1697,12 @@
</li>
- <li class="chapter " data-level="9.2" data-path="../anomaly/sst.html">
+ <li class="chapter " data-level="10.2" data-path="../anomaly/sst.html">
<a href="../anomaly/sst.html">
- <b>9.2.</b>
+ <b>10.2.</b>
Change-Point Detection using Singular Spectrum Transformation (SST)
@@ -1645,12 +1712,12 @@
</li>
- <li class="chapter " data-level="9.3" data-path="../anomaly/changefinder.html">
+ <li class="chapter " data-level="10.3" data-path="../anomaly/changefinder.html">
<a href="../anomaly/changefinder.html">
- <b>9.3.</b>
+ <b>10.3.</b>
ChangeFinder: Detecting Outlier and Change-Point Simultaneously
@@ -1663,16 +1730,16 @@
- <li class="header">Part X - Clustering</li>
+ <li class="header">Part XI - Clustering</li>
- <li class="chapter " data-level="10.1" data-path="../clustering/lda.html">
+ <li class="chapter " data-level="11.1" data-path="../clustering/lda.html">
<a href="../clustering/lda.html">
- <b>10.1.</b>
+ <b>11.1.</b>
Latent Dirichlet Allocation
@@ -1682,12 +1749,12 @@
</li>
- <li class="chapter " data-level="10.2" data-path="../clustering/plsa.html">
+ <li class="chapter " data-level="11.2" data-path="../clustering/plsa.html">
<a href="../clustering/plsa.html">
- <b>10.2.</b>
+ <b>11.2.</b>
Probabilistic Latent Semantic Analysis
@@ -1700,16 +1767,16 @@
- <li class="header">Part XI - GeoSpatial functions</li>
+ <li class="header">Part XII - GeoSpatial functions</li>
- <li class="chapter active" data-level="11.1" data-path="latlon.html">
+ <li class="chapter active" data-level="12.1" data-path="latlon.html">
<a href="latlon.html">
- <b>11.1.</b>
+ <b>12.1.</b>
Lat/Lon functions
@@ -1722,16 +1789,16 @@
- <li class="header">Part XII - Hivemall on Spark</li>
+ <li class="header">Part XIII - Hivemall on Spark</li>
- <li class="chapter " data-level="12.1" data-path="../spark/getting_started/">
+ <li class="chapter " data-level="13.1" data-path="../spark/getting_started/">
<a href="../spark/getting_started/">
- <b>12.1.</b>
+ <b>13.1.</b>
Getting Started
@@ -1742,12 +1809,12 @@
<ul class="articles">
- <li class="chapter " data-level="12.1.1" data-path="../spark/getting_started/installation.html">
+ <li class="chapter " data-level="13.1.1" data-path="../spark/getting_started/installation.html">
<a href="../spark/getting_started/installation.html">
- <b>12.1.1.</b>
+ <b>13.1.1.</b>
Installation
@@ -1762,12 +1829,12 @@
</li>
- <li class="chapter " data-level="12.2" data-path="../spark/binaryclass/">
+ <li class="chapter " data-level="13.2" data-path="../spark/binaryclass/">
<a href="../spark/binaryclass/">
- <b>12.2.</b>
+ <b>13.2.</b>
Binary Classification
@@ -1778,12 +1845,12 @@
<ul class="articles">
- <li class="chapter " data-level="12.2.1" data-path="../spark/binaryclass/a9a_df.html">
+ <li class="chapter " data-level="13.2.1" data-path="../spark/binaryclass/a9a_df.html">
<a href="../spark/binaryclass/a9a_df.html">
- <b>12.2.1.</b>
+ <b>13.2.1.</b>
a9a Tutorial for DataFrame
@@ -1798,12 +1865,12 @@
</li>
- <li class="chapter " data-level="12.3" data-path="../spark/binaryclass/">
+ <li class="chapter " data-level="13.3" data-path="../spark/binaryclass/">
<a href="../spark/binaryclass/">
- <b>12.3.</b>
+ <b>13.3.</b>
Regression
@@ -1814,12 +1881,12 @@
<ul class="articles">
- <li class="chapter " data-level="12.3.1" data-path="../spark/regression/e2006_df.html">
+ <li class="chapter " data-level="13.3.1" data-path="../spark/regression/e2006_df.html">
<a href="../spark/regression/e2006_df.html">
- <b>12.3.1.</b>
+ <b>13.3.1.</b>
E2006-tfidf regression Tutorial for DataFrame
@@ -1834,12 +1901,12 @@
</li>
- <li class="chapter " data-level="12.4" data-path="../spark/misc/misc.html">
+ <li class="chapter " data-level="13.4" data-path="../spark/misc/misc.html">
<a href="../spark/misc/misc.html">
- <b>12.4.</b>
+ <b>13.4.</b>
Generic features
@@ -1850,12 +1917,12 @@
<ul class="articles">
- <li class="chapter " data-level="12.4.1" data-path="../spark/misc/topk_join.html">
+ <li class="chapter " data-level="13.4.1" data-path="../spark/misc/topk_join.html">
<a href="../spark/misc/topk_join.html">
- <b>12.4.1.</b>
+ <b>13.4.1.</b>
Top-k Join processing
@@ -1865,12 +1932,12 @@
</li>
- <li class="chapter " data-level="12.4.2" data-path="../spark/misc/functions.html">
+ <li class="chapter " data-level="13.4.2" data-path="../spark/misc/functions.html">
<a href="../spark/misc/functions.html">
- <b>12.4.2.</b>
+ <b>13.4.2.</b>
Other utility functions
@@ -1888,16 +1955,16 @@
- <li class="header">Part XIII - Hivemall on Docker</li>
+ <li class="header">Part XIV - Hivemall on Docker</li>
- <li class="chapter " data-level="13.1" data-path="../docker/getting_started.html">
+ <li class="chapter " data-level="14.1" data-path="../docker/getting_started.html">
<a href="../docker/getting_started.html">
- <b>13.1.</b>
+ <b>14.1.</b>
Getting Started
@@ -1914,12 +1981,12 @@
- <li class="chapter " data-level="14.1" >
+ <li class="chapter " data-level="15.1" >
<a target="_blank" href="https://github.com/maropu/hivemall-spark">
- <b>14.1.</b>
+ <b>15.1.</b>
Hivemall on Apache Spark
@@ -1929,12 +1996,12 @@
</li>
- <li class="chapter " data-level="14.2" >
+ <li class="chapter " data-level="15.2" >
<a target="_blank" href="https://github.com/daijyc/hivemall/wiki/PigHome">
- <b>14.2.</b>
+ <b>15.2.</b>
Hivemall on Apache Pig
@@ -2042,7 +2109,7 @@ y &=
\right) \cdot 2^{z - 1}
\right\rfloor
\end{aligned}
-</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:4.5200475em;"></span><span class="strut bottom" style="height:8.540095em;vertical-align:-4.0200475em;"></span><span class="base displaystyle textstyle uncramped"><span class="mord"><span class="mtable"><span class="col-align-r"><span class="vlist"><span style="top:-3.0700475000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord mathit">x</span></span></span><span style="top:-1.2800175000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle uncramped"></span></span><span style="top:1.8700124999999996em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle unc
ramped"><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="col-align-l"><span class="vlist"><span style="top:-3.0700475000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord displaystyle textstyle uncramped"></span><span class="mrel">=</span><span class="minner displaystyle textstyle uncramped"><span class="style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">⌊</span></span><span class="mord reset-textstyle displaystyle textstyle uncramped"><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.686em;"><span class
="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle cramped"><span class="mord textstyle cramped"><span class="mord mathrm">3</span><span class="mord mathrm">6</span><span class="mord mathrm">0</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.677em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped"><span class="mord textstyle uncramped"><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">o</span><span class="mord mathit">n</span><span class="mbin">+</span><span class="mord mathrm">1</span><span class="mord mathrm">8</span><span class="mord mathrm">0</span></sp
an></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="mbin">⋅</span><span class="mord"><span class="mord mathrm">2</span><span class="vlist"><span style="top:-0.413em;margin-right:0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped"><span class="mord mathit" style="margin-right:0.04398em;">z</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">⌋</span></span></span></span></span><span style="top:1.870012
5000000005em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord displaystyle textstyle uncramped"></span><span class="mrel">=</span><span class="minner displaystyle textstyle uncramped"><span class="style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.5050149999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎣</span></span></span><span style="top:0.35001499999999997em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-0.250985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span clas
s="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-0.851985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-1.452985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-2.053985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="minner displaystyle textstyle uncramped"><span class="style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing
mult"><span class="vlist"><span style="top:1.50501em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎝</span></span></span><span style="top:0.35000000000000014em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-0.2500099999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-1.4950299999999999em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎛</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">&
#x200B;</span></span>​</span></span></span></span><span class="mord mathrm">1</span><span class="mbin">−</span><span class="mord reset-textstyle displaystyle textstyle uncramped"><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.686em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle cramped"><span class="mord textstyle cramped"><span class="mord mathit" style="margin-right:0.03588em;">π</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-1.34003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="rese
t-textstyle textstyle uncramped"><span class="mord textstyle uncramped"><span class="mop">ln</span><span class="minner textstyle uncramped"><span class="style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mop">tan</span><span class="minner textstyle uncramped"><span class="style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size1">(</span></span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">a</span><span class="mord mathit">t</span><span class="mbin">⋅</span><span class="mord reset-textstyle textstyle uncramped"><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.345em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped"><s
pan class="mord scriptstyle cramped"><span class="mord mathrm">1</span><span class="mord mathrm">8</span><span class="mord mathrm">0</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.394em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped"><span class="mord scriptstyle uncramped"><span class="mord mathit" style="margin-right:0.03588em;">π</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="style-wrap reset-textstyle textstyl
e uncramped" style="top:0em;"><span class="delimsizing size1">)</span></span></span><span class="mbin">+</span><span class="mord reset-textstyle textstyle uncramped"><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.5075000000000001em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle scriptstyle cramped"><span class="mord scriptstyle cramped"><span class="mop">cos</span><span class="minner scriptstyle cramped"><span class="style-wrap reset-scriptstyle textstyle uncramped" style="top:0.07500000000000001em;">(</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">a</span><span class="mord mathit">t</span><span class="mbin">⋅</span><span class="mord reset-scriptstyle scriptstyle cramped"><span class="sizing reset-size5 size5 reset-scriptstyle textstyle
uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.345em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle scriptscriptstyle cramped"><span class="mord scriptscriptstyle cramped"><span class="mord mathrm">1</span><span class="mord mathrm">8</span><span class="mord mathrm">0</span></span></span></span><span style="top:-0.22142857142857142em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle textstyle uncramped frac-line"></span></span><span style="top:-0.394em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle scriptscriptstyle cramped"><span class="mord scriptscriptstyle cramped"><span class="mord mathit" style="margin-right:0.03588em;">π</span></span></span></span><span class="baseline-fix"><sp
an class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="sizing reset-size5 size5 reset-scriptstyle textstyle uncramped nulldelimiter"></span></span><span class="style-wrap reset-scriptstyle textstyle uncramped" style="top:0.07500000000000001em;">)</span></span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.394em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle scriptstyle uncramped"><span class="mord scriptstyle uncramped"><span class="mord mathrm">1</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span>​</spa
n></span></span><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">)</span></span></span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span>​</span></span></span><span class="sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.50501em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎠</span></span></span><span style="top:0.35000000000000014em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span
class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-0.2500099999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-1.4950299999999999em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎞</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span><span class="mbin">⋅</span><span class="mord"><span class="mord mathrm">2</span><span class="vlist"><span style="top:-0.41300000000000003em;margin-right:0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramp
ed"><span class="mord scriptstyle uncramped"><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mbin">−</span><span class="mord mathrm">1</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.5050149999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎦</span></span></span><span style="top:0.35001499999999997em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-0.250985em;"><span class="fontsize-ensurer reset-size5 size5"><span style=
"font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-0.851985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-1.452985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-2.053985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5
size5"><span style="font-size:1em;">​</span></span>​</span></span></span></span></span></span></span></span></span></p>
+</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:4.5200475em;"></span><span class="strut bottom" style="height:8.540095em;vertical-align:-4.0200475em;"></span><span class="base displaystyle textstyle uncramped"><span class="mord"><span class="mtable"><span class="col-align-r"><span class="vlist"><span style="top:-3.0700475000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord mathit">x</span></span></span><span style="top:-1.2800175000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle uncramped"></span></span><span style="top:1.8700124999999996em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="mord displaystyle textstyle unc
ramped"><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="col-align-l"><span class="vlist"><span style="top:-3.0700475000000003em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord displaystyle textstyle uncramped"></span><span class="mrel">=</span><span class="minner displaystyle textstyle uncramped"><span class="mopen style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">⌊</span></span><span class="mord reset-textstyle displaystyle textstyle uncramped"><span class="mopen sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.686em;"
><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle cramped"><span class="mord textstyle cramped"><span class="mord mathrm">3</span><span class="mord mathrm">6</span><span class="mord mathrm">0</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.677em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped"><span class="mord textstyle uncramped"><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">o</span><span class="mord mathit">n</span><span class="mbin">+</span><span class="mord mathrm">1</span><span class="mord mathrm">8</span><span class="mord mathrm">
0</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="mclose sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="mbin">⋅</span><span class="mord"><span class="mord mathrm">2</span><span class="msupsub"><span class="vlist"><span style="top:-0.413em;margin-right:0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped mtight"><span class="mord mathit mtight" style="margin-right:0.04398em;">z</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="mclose style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3"
>⌋</span></span></span></span></span><span style="top:1.8700125000000005em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="mord displaystyle textstyle uncramped"><span class="mord displaystyle textstyle uncramped"></span><span class="mrel">=</span><span class="minner displaystyle textstyle uncramped"><span class="mopen style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.5050149999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎣</span></span></span><span style="top:0.35001499999999997em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-0.250985em;"><span class="fontsize-ensurer reset
-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-0.851985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-1.452985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span style="top:-2.053985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎢</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="minner displaystyle textstyle uncramped"><span clas
s="mopen style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.50501em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎝</span></span></span><span style="top:0.35000000000000014em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-0.2500099999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-1.4950299999999999em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎛</span></span></span><span class="baseline-fix
"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="mord mathrm">1</span><span class="mbin">−</span><span class="mord reset-textstyle displaystyle textstyle uncramped"><span class="mopen sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.686em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle cramped"><span class="mord textstyle cramped"><span class="mord mathit" style="margin-right:0.03588em;">π</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-1.34003em;"><span class="fontsize-ensurer
reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle uncramped"><span class="mord textstyle uncramped"><span class="mop">ln</span><span class="minner textstyle uncramped"><span class="mopen style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mop">tan</span><span class="minner textstyle uncramped"><span class="mopen style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size1">(</span></span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">a</span><span class="mord mathit">t</span><span class="mbin">⋅</span><span class="mord reset-textstyle textstyle uncramped"><span class="mopen sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.345em;"><span class="fontsize-ensurer reset-size5 size5
"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathrm mtight">1</span><span class="mord mathrm mtight">8</span><span class="mord mathrm mtight">0</span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.394em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped mtight"><span class="mord scriptstyle uncramped mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">π</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></sp
an></span><span class="mclose sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="mclose style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size1">)</span></span></span><span class="mbin">+</span><span class="mord reset-textstyle textstyle uncramped"><span class="mopen sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.5075000000000001em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mop mtight">cos</span><span class="minner scriptstyle cramped mtight"><span class="mopen style-wrap reset-scriptstyle textstyle uncramped mtight" style="top:0.07500000000000001em;"><span class="mtight">(</span></span><span class="mord mathit mtight" style="m
argin-right:0.01968em;">l</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight">t</span><span class="mbin mtight">⋅</span><span class="mord reset-scriptstyle scriptstyle cramped mtight"><span class="mopen sizing reset-size5 size5 reset-scriptstyle textstyle uncramped nulldelimiter"></span><span class="mfrac"><span class="vlist"><span style="top:0.344em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle scriptscriptstyle cramped mtight"><span class="mord scriptscriptstyle cramped mtight"><span class="mord mathrm mtight">1</span><span class="mord mathrm mtight">8</span><span class="mord mathrm mtight">0</span></span></span></span><span style="top:-0.22142857142857142em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle textstyle uncramped frac-line"></span></span><span style="top:-0.384em;">
<span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-scriptstyle scriptscriptstyle cramped mtight"><span class="mord scriptscriptstyle cramped mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">π</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span><span class="mclose sizing reset-size5 size5 reset-scriptstyle textstyle uncramped nulldelimiter"></span></span><span class="mclose style-wrap reset-scriptstyle textstyle uncramped mtight" style="top:0.07500000000000001em;"><span class="mtight">)</span></span></span></span></span></span><span style="top:-0.22999999999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle textstyle uncramped frac-line"></span></span><span style="top:-0.
394em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span><span class="reset-textstyle scriptstyle uncramped mtight"><span class="mord scriptstyle uncramped mtight"><span class="mord mathrm mtight">1</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span>​</span></span></span><span class="mclose sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="mclose style-wrap reset-textstyle textstyle uncramped" style="top:0em;"><span class="delimsizing size3">)</span></span></span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span>​</span></span></span><span class="mclose sizing reset-size5 size5 reset-textstyle textstyle uncramped nulldelimiter"></span></span><span class="mclose style-wr
ap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="top:1.50501em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎠</span></span></span><span style="top:0.35000000000000014em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-0.2500099999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-1.4950299999999999em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎞</span></span></span><span class="baseline-fix"><span class="fo
ntsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span><span class="mbin">⋅</span><span class="mord"><span class="mord mathrm">2</span><span class="msupsub"><span class="vlist"><span style="top:-0.41300000000000003em;margin-right:0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped mtight"><span class="mord scriptstyle uncramped mtight"><span class="mord mathit mtight" style="margin-right:0.04398em;">z</span><span class="mbin mtight">−</span><span class="mord mathrm mtight">1</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="mclose style-wrap reset-textstyle textstyle uncramped"><span class="delimsizing mult"><span class="vlist"><span style="
top:1.5050149999999998em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎦</span></span></span><span style="top:0.35001499999999997em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-0.250985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-0.851985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span style="top:-1.452985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizing
inner delim-size4"><span>⎥</span></span></span><span style="top:-2.053985em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="delimsizinginner delim-size4"><span>⎥</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:1em;">​</span></span>​</span></span></span></span></span></span></span></span></span></p>
<p>Refer <a href="http://wiki.openstreetmap.org/wiki/Slippy_map_tilenames" target="_blank">this page</a> for detail. Zoom level is well described in <a href="http://wiki.openstreetmap.org/wiki/Zoom_levels" target="_blank">this page</a>.</p>
<h3 id="usage">Usage</h3>
<pre><code class="lang-sql">WITH data as (
@@ -2178,7 +2245,7 @@ Apache Hivemall is an effort undergoing incubation at The Apache Software Founda
<script>
var gitbook = gitbook || [];
gitbook.push(function() {
- gitbook.page.hasChanged({"page":{"title":"Lat/Lon functions","level":"11.1","depth":1,"next":{"title":"Getting Started","level":"12.1","depth":1,"path":"spark/getting_started/README.md","ref":"spark/getting_started/README.md","articles":[{"title":"Installation","level":"12.1.1","depth":2,"path":"spark/getting_started/installation.md","ref":"spark/getting_started/installation.md","articles":[]}]},"previous":{"title":"Probabilistic Latent Semantic Analysis","level":"10.2","depth":1,"path":"clustering/plsa.md","ref":"clustering/plsa.md","articles":[]},"dir":"ltr"},"config":{"plugins":["theme-api","edit-link","github","splitter","sitemap","etoc","callouts","toggle-chapters","anchorjs","codeblock-filename","expandable-chapters","multipart","codeblock-filename","katex","emphasize","localized-footer"],"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"pluginsCo
nfig":{"emphasize":{},"callouts":{},"etoc":{"header":1,"maxdepth":3,"mindepth":1,"notoc":true},"github":{"url":"https://github.com/apache/incubator-hivemall/"},"splitter":{},"search":{},"downloadpdf":{"base":"https://github.com/apache/incubator-hivemall/docs/gitbook","label":"PDF","multilingual":false},"multipart":{},"localized-footer":{"filename":"FOOTER.md","hline":"true"},"lunr":{"maxIndexSize":1000000,"ignoreSpecialCharacters":false},"katex":{},"fontsettings":{"theme":"white","family":"sans","size":2,"font":"sans"},"highlight":{},"codeblock-filename":{},"sitemap":{"hostname":"http://hivemall.incubator.apache.org/"},"theme-api":{"languages":[],"split":false,"theme":"dark"},"sharing":{"facebook":true,"twitter":true,"google":false,"weibo":false,"instapaper":false,"vk":false,"all":["facebook","google","twitter","weibo","instapaper"]},"edit-link":{"label":"Edit","base":"https://github.com/apache/incubator-hivemall/docs/gitbook"},"theme-default":{"styles":{"website":"styles/website.cs
s","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"showLevel":true},"anchorjs":{"selector":"h1,h2,h3,*:not(.callout) > h4,h5"},"toggle-chapters":{},"expandable-chapters":{}},"theme":"default","pdf":{"pageNumbers":true,"fontSize":12,"fontFamily":"Arial","paperSize":"a4","chapterMark":"pagebreak","pageBreaksBefore":"/","margin":{"right":62,"left":62,"top":56,"bottom":56}},"structure":{"langs":"LANGS.md","readme":"README.md","glossary":"GLOSSARY.md","summary":"SUMMARY.md"},"variables":{},"title":"Hivemall User Manual","links":{"sidebar":{"<i class=\"fa fa-home\"></i> Home":"http://hivemall.incubator.apache.org/"}},"gitbook":"3.x.x","description":"User Manual for Apache Hivemall"},"file":{"path":"geospatial/latlon.md","mtime":"2017-05-11T07:09:12.000Z","type":"markdown"},"gitbook":{"version":"3.2.2","time":"2017-06-06T07:26:41.211Z"},"basePath":"..","book":{"language":""}});
+ gitbook.page.hasChanged({"page":{"title":"Lat/Lon functions","level":"12.1","depth":1,"next":{"title":"Getting Started","level":"13.1","depth":1,"path":"spark/getting_started/README.md","ref":"spark/getting_started/README.md","articles":[{"title":"Installation","level":"13.1.1","depth":2,"path":"spark/getting_started/installation.md","ref":"spark/getting_started/installation.md","articles":[]}]},"previous":{"title":"Probabilistic Latent Semantic Analysis","level":"11.2","depth":1,"path":"clustering/plsa.md","ref":"clustering/plsa.md","articles":[]},"dir":"ltr"},"config":{"plugins":["theme-api","edit-link","github","splitter","sitemap","etoc","callouts","toggle-chapters","anchorjs","codeblock-filename","expandable-chapters","multipart","codeblock-filename","katex","emphasize","localized-footer"],"styles":{"website":"styles/website.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"pluginsCo
nfig":{"emphasize":{},"callouts":{},"etoc":{"h2lb":3,"header":1,"maxdepth":3,"mindepth":1,"notoc":true},"github":{"url":"https://github.com/apache/incubator-hivemall/"},"splitter":{},"search":{},"downloadpdf":{"base":"https://github.com/apache/incubator-hivemall/docs/gitbook","label":"PDF","multilingual":false},"multipart":{},"localized-footer":{"filename":"FOOTER.md","hline":"true"},"lunr":{"maxIndexSize":1000000,"ignoreSpecialCharacters":false},"katex":{},"fontsettings":{"theme":"white","family":"sans","size":2,"font":"sans"},"highlight":{},"codeblock-filename":{},"sitemap":{"hostname":"http://hivemall.incubator.apache.org/"},"theme-api":{"languages":[],"split":false,"theme":"dark"},"sharing":{"facebook":true,"twitter":true,"google":false,"weibo":false,"instapaper":false,"vk":false,"all":["facebook","google","twitter","weibo","instapaper"]},"edit-link":{"label":"Edit","base":"https://github.com/apache/incubator-hivemall/docs/gitbook"},"theme-default":{"styles":{"website":"styles/w
ebsite.css","pdf":"styles/pdf.css","epub":"styles/epub.css","mobi":"styles/mobi.css","ebook":"styles/ebook.css","print":"styles/print.css"},"showLevel":true},"anchorjs":{"selector":"h1,h2,h3,*:not(.callout) > h4,h5"},"toggle-chapters":{},"expandable-chapters":{}},"theme":"default","pdf":{"pageNumbers":true,"fontSize":12,"fontFamily":"Arial","paperSize":"a4","chapterMark":"pagebreak","pageBreaksBefore":"/","margin":{"right":62,"left":62,"top":56,"bottom":56}},"structure":{"langs":"LANGS.md","readme":"README.md","glossary":"GLOSSARY.md","summary":"SUMMARY.md"},"variables":{},"title":"Hivemall User Manual","links":{"sidebar":{"<i class=\"fa fa-home\"></i> Home":"http://hivemall.incubator.apache.org/"}},"gitbook":"3.x.x","description":"User Manual for Apache Hivemall"},"file":{"path":"geospatial/latlon.md","mtime":"2017-05-30T05:51:52.000Z","type":"markdown"},"gitbook":{"version":"3.2.2","time":"2017-06-15T10:33:21.138Z"},"basePath":"..","book":{"language":""}});
});
</script>
</div>