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Posted to commits@madlib.apache.org by ok...@apache.org on 2017/12/28 22:51:41 UTC
[07/51] [abbrv] [partial] madlib-site git commit: Additional updates
for 1.13 release
http://git-wip-us.apache.org/repos/asf/madlib-site/blob/6c103d3e/docs/v1.13/linear_8sql__in.html
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+ <span id="projectnumber">1.13</span>
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+ <div id="projectbrief">User Documentation for MADlib</div>
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+ onmouseout="return searchBox.OnSearchSelectHide()"
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+
+<div class="header">
+ <div class="summary">
+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">linear.sql_in File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>SQL functions for linear regression.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:ad0175a9ecc455d9679f7d251af264848"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#ad0175a9ecc455d9679f7d251af264848">linregr_train</a> (varchar source_table, varchar out_table, varchar dependent_varname, varchar independent_varname, varchar grouping_cols, boolean heteroskedasticity_option)</td></tr>
+<tr class="memdesc:ad0175a9ecc455d9679f7d251af264848"><td class="mdescLeft"> </td><td class="mdescRight">Linear regression training function with grouping support. <a href="#ad0175a9ecc455d9679f7d251af264848">More...</a><br /></td></tr>
+<tr class="separator:ad0175a9ecc455d9679f7d251af264848"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac807cf4749db37b6fc7be24c2db10d96"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#ac807cf4749db37b6fc7be24c2db10d96">linregr_train</a> (varchar source_table, varchar out_table, varchar dependent_varname, varchar independent_varname, varchar grouping_cols)</td></tr>
+<tr class="separator:ac807cf4749db37b6fc7be24c2db10d96"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a71fb4a634f3145d0369879c931e0f16e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a71fb4a634f3145d0369879c931e0f16e">linregr_train</a> (varchar source_table, varchar out_table, varchar dependent_varname, varchar independent_varname)</td></tr>
+<tr class="separator:a71fb4a634f3145d0369879c931e0f16e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1469685d518752784080c0b2811c9a81"><td class="memItemLeft" align="right" valign="top">varchar </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a1469685d518752784080c0b2811c9a81">linregr_train</a> ()</td></tr>
+<tr class="separator:a1469685d518752784080c0b2811c9a81"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5f8e25203a2b3a9d0fd332a539972292"><td class="memItemLeft" align="right" valign="top">varchar </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a5f8e25203a2b3a9d0fd332a539972292">linregr_train</a> (varchar message)</td></tr>
+<tr class="separator:a5f8e25203a2b3a9d0fd332a539972292"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aa2b87a3e60272176bfa2fb859f99461a"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#aa2b87a3e60272176bfa2fb859f99461a">linregr_transition</a> (bytea8 state, float8 y, float8[] x)</td></tr>
+<tr class="separator:aa2b87a3e60272176bfa2fb859f99461a"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a042536820ffbad498a4e1c410f949e35"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a042536820ffbad498a4e1c410f949e35">linregr_merge_states</a> (bytea8 state1, bytea8 state2)</td></tr>
+<tr class="separator:a042536820ffbad498a4e1c410f949e35"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a28b69254ba5cd513b35ba6b17efd2c35"><td class="memItemLeft" align="right" valign="top">linregr_result </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a28b69254ba5cd513b35ba6b17efd2c35">linregr_final</a> (bytea8 state)</td></tr>
+<tr class="separator:a28b69254ba5cd513b35ba6b17efd2c35"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4a583204053716bbece6321f5d9332b1"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a4a583204053716bbece6321f5d9332b1">hetero_linregr_transition</a> (bytea8 state, float8 y, float8[] x, float8[] coef)</td></tr>
+<tr class="separator:a4a583204053716bbece6321f5d9332b1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ad10649c8460c337a285cf20f2b87d0c5"><td class="memItemLeft" align="right" valign="top">bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#ad10649c8460c337a285cf20f2b87d0c5">hetero_linregr_merge_states</a> (bytea8 state1, bytea8 state2)</td></tr>
+<tr class="separator:ad10649c8460c337a285cf20f2b87d0c5"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a4b2e38f45a8e519af5947fcc2eb02829"><td class="memItemLeft" align="right" valign="top">heteroskedasticity_test_result </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a4b2e38f45a8e519af5947fcc2eb02829">hetero_linregr_final</a> (bytea8 state)</td></tr>
+<tr class="separator:a4b2e38f45a8e519af5947fcc2eb02829"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a5fcd1daa9796dccf5430929c37ea0ee9"><td class="memItemLeft" align="right" valign="top">aggregate bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a5fcd1daa9796dccf5430929c37ea0ee9">linregr</a> (float8 dependentVariable, float8[] independentVariables)</td></tr>
+<tr class="memdesc:a5fcd1daa9796dccf5430929c37ea0ee9"><td class="mdescLeft"> </td><td class="mdescRight">Compute linear regression coefficients and diagnostic statistics. <a href="#a5fcd1daa9796dccf5430929c37ea0ee9">More...</a><br /></td></tr>
+<tr class="separator:a5fcd1daa9796dccf5430929c37ea0ee9"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a6d36a88e06a31753f4045a6c4539ca10"><td class="memItemLeft" align="right" valign="top">aggregate bytea8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a6d36a88e06a31753f4045a6c4539ca10">heteroskedasticity_test_linregr</a> (float8 dependentVariable, float8[] independentVariables, float8[] olsCoefficients)</td></tr>
+<tr class="memdesc:a6d36a88e06a31753f4045a6c4539ca10"><td class="mdescLeft"> </td><td class="mdescRight">Compute studentized Breuch-Pagan heteroskedasticity test for linear regression. <a href="#a6d36a88e06a31753f4045a6c4539ca10">More...</a><br /></td></tr>
+<tr class="separator:a6d36a88e06a31753f4045a6c4539ca10"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8da0030683d5931b93e5f2bee3fd0544"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a8da0030683d5931b93e5f2bee3fd0544">linregr_predict</a> (float8[] coef, float8[] col_ind_var)</td></tr>
+<tr class="memdesc:a8da0030683d5931b93e5f2bee3fd0544"><td class="mdescLeft"> </td><td class="mdescRight">Predict the boolean value of a dependent variable for a specific independent variable value in a linear regression model. <a href="#a8da0030683d5931b93e5f2bee3fd0544">More...</a><br /></td></tr>
+<tr class="separator:a8da0030683d5931b93e5f2bee3fd0544"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a98442804f12e5489dedf0ada2d8c273e"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a98442804f12e5489dedf0ada2d8c273e">linregr_predict</a> (text message)</td></tr>
+<tr class="separator:a98442804f12e5489dedf0ada2d8c273e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a1cf80cdbcabf4ba83b128c08bc804ca5"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="linear_8sql__in.html#a1cf80cdbcabf4ba83b128c08bc804ca5">linregr_predict</a> ()</td></tr>
+<tr class="separator:a1cf80cdbcabf4ba83b128c08bc804ca5"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><dl class="section date"><dt>Date</dt><dd>January 2011</dd></dl>
+<dl class="section see"><dt>See also</dt><dd>For a brief introduction to linear regression, see the module description <a class="el" href="group__grp__linreg.html">Linear Regression</a>. </dd></dl>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="a4b2e38f45a8e519af5947fcc2eb02829"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4b2e38f45a8e519af5947fcc2eb02829">◆ </a></span>hetero_linregr_final()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">heteroskedasticity_test_result hetero_linregr_final </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="ad10649c8460c337a285cf20f2b87d0c5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad10649c8460c337a285cf20f2b87d0c5">◆ </a></span>hetero_linregr_merge_states()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bytea8 hetero_linregr_merge_states </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state2</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a4a583204053716bbece6321f5d9332b1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a4a583204053716bbece6321f5d9332b1">◆ </a></span>hetero_linregr_transition()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bytea8 hetero_linregr_transition </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>y</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>x</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>coef</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a6d36a88e06a31753f4045a6c4539ca10"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a6d36a88e06a31753f4045a6c4539ca10">◆ </a></span>heteroskedasticity_test_linregr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">aggregate bytea8 heteroskedasticity_test_linregr </td>
+ <td>(</td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>dependentVariable</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>independentVariables</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>olsCoefficients</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramname">dependentVariable</td><td>Column containing the dependent variable </td></tr>
+ <tr><td class="paramname">independentVariables</td><td>Column containing the array of independent variables </td></tr>
+ <tr><td class="paramname">olsCoefficients</td><td>Column containing the array of the OLS coefficients (as obtained by linregr)</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</dd></dl>
+<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
+<li><code>test_statistic FLOAT8[]</code> - Prob > test_statistc</li>
+<li><code>p_value FLOAT8[]</code> - Prob > test_statistc</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Usage</dt><dd><pre> SELECT (heteoskedasticity_test_linregr(<em>dependentVariable</em>,
+ <em>independentVariables</em>, coef)).*
+ FROM (
+ SELECT linregr(<em>dependentVariable</em>, <em>independentVariables</em>).coef
+ ) AS ols_coef, <em>sourceName</em> as src;
+</pre> </dd></dl>
+
+</div>
+</div>
+<a id="a5fcd1daa9796dccf5430929c37ea0ee9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5fcd1daa9796dccf5430929c37ea0ee9">◆ </a></span>linregr()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">aggregate bytea8 linregr </td>
+ <td>(</td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>dependentVariable</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>independentVariables</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramname">dependentVariable</td><td>Column containing the dependent variable </td></tr>
+ <tr><td class="paramname">independentVariables</td><td>Column containing the array of independent variables</td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section user"><dt></dt><dd>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</dd></dl>
+<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
+<li><code>coef FLOAT8[]</code> - Array of coefficients, \( \boldsymbol c \)</li>
+<li><code>r2 FLOAT8</code> - Coefficient of determination, \( R^2 \)</li>
+<li><code>std_err FLOAT8[]</code> - Array of standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
+<li><code>t_stats FLOAT8[]</code> - Array of t-statistics, \( \boldsymbol t \)</li>
+<li><code>p_values FLOAT8[]</code> - Array of p-values, \( \boldsymbol p \)</li>
+<li><code>condition_no FLOAT8</code> - The condition number of matrix \( X^T X \).</li>
+</ul>
+</dd></dl>
+<dl class="section user"><dt>Usage</dt><dd><ul>
+<li>Get vector of coefficients \( \boldsymbol c \) and all diagnostic statistics:<br />
+ <pre>SELECT (linregr(<em>dependentVariable</em>,
+ <em>independentVariables</em>)).*
+FROM <em>sourceName</em>;</pre></li>
+<li>Get vector of coefficients \( \boldsymbol c \):<br />
+ <pre>SELECT (linregr(<em>dependentVariable</em>,
+ <em>independentVariables</em>)).coef
+FROM <em>sourceName</em>;</pre></li>
+<li>Get a subset of the output columns, e.g., only the array of coefficients \( \boldsymbol c \), the coefficient of determination \( R^2 \), and the array of p-values \( \boldsymbol p \): <pre>SELECT (lr).coef, (lr).r2, (lr).p_values
+FROM (
+ SELECT linregr( <em>dependentVariable</em>,
+ <em>independentVariables</em>) AS lr
+ FROM <em>sourceName</em>
+) AS subq;</pre> </li>
+</ul>
+</dd></dl>
+
+</div>
+</div>
+<a id="a28b69254ba5cd513b35ba6b17efd2c35"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a28b69254ba5cd513b35ba6b17efd2c35">◆ </a></span>linregr_final()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">linregr_result linregr_final </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a042536820ffbad498a4e1c410f949e35"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a042536820ffbad498a4e1c410f949e35">◆ </a></span>linregr_merge_states()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bytea8 linregr_merge_states </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state2</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a8da0030683d5931b93e5f2bee3fd0544"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8da0030683d5931b93e5f2bee3fd0544">◆ </a></span>linregr_predict() <span class="overload">[1/3]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">float8 linregr_predict </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>coef</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>col_ind_var</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramname">coef</td><td>Coefficients obtained by running linear regression. </td></tr>
+ <tr><td class="paramname">col_ind</td><td>Independent variable array </td></tr>
+ </table>
+ </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>DOUBLE PRECISION Predicted value</dd></dl>
+<p>This function computes the dot product of the independent variables and the coefficients. This requires the length of the two vectors to be the same. </p>
+
+</div>
+</div>
+<a id="a98442804f12e5489dedf0ada2d8c273e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a98442804f12e5489dedf0ada2d8c273e">◆ </a></span>linregr_predict() <span class="overload">[2/3]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">text linregr_predict </td>
+ <td>(</td>
+ <td class="paramtype">text </td>
+ <td class="paramname"><em>message</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a1cf80cdbcabf4ba83b128c08bc804ca5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1cf80cdbcabf4ba83b128c08bc804ca5">◆ </a></span>linregr_predict() <span class="overload">[3/3]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">text linregr_predict </td>
+ <td>(</td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="ad0175a9ecc455d9679f7d251af264848"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad0175a9ecc455d9679f7d251af264848">◆ </a></span>linregr_train() <span class="overload">[1/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void linregr_train </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>source_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>out_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>dependent_varname</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>independent_varname</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>grouping_cols</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">boolean </td>
+ <td class="paramname"><em>heteroskedasticity_option</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="ac807cf4749db37b6fc7be24c2db10d96"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac807cf4749db37b6fc7be24c2db10d96">◆ </a></span>linregr_train() <span class="overload">[2/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void linregr_train </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>source_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>out_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>dependent_varname</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>independent_varname</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>grouping_cols</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a71fb4a634f3145d0369879c931e0f16e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a71fb4a634f3145d0369879c931e0f16e">◆ </a></span>linregr_train() <span class="overload">[3/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void linregr_train </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>source_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>out_table</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>dependent_varname</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>independent_varname</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a1469685d518752784080c0b2811c9a81"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a1469685d518752784080c0b2811c9a81">◆ </a></span>linregr_train() <span class="overload">[4/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">varchar linregr_train </td>
+ <td>(</td>
+ <td class="paramname"></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a5f8e25203a2b3a9d0fd332a539972292"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a5f8e25203a2b3a9d0fd332a539972292">◆ </a></span>linregr_train() <span class="overload">[5/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">varchar linregr_train </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>message</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="aa2b87a3e60272176bfa2fb859f99461a"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aa2b87a3e60272176bfa2fb859f99461a">◆ </a></span>linregr_transition()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">bytea8 linregr_transition </td>
+ <td>(</td>
+ <td class="paramtype">bytea8 </td>
+ <td class="paramname"><em>state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>y</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>x</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
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+ <div id="projectname">
+ <span id="projectnumber">1.13</span>
+ </div>
+ <div id="projectbrief">User Documentation for MADlib</div>
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+<a href="#func-members">Functions</a> </div>
+ <div class="headertitle">
+<div class="title">lmf.sql_in File Reference</div> </div>
+</div><!--header-->
+<div class="contents">
+
+<p>SQL functions for low-rank matrix factorization.
+<a href="#details">More...</a></p>
+<table class="memberdecls">
+<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
+Functions</h2></td></tr>
+<tr class="memitem:a187574cfe85888b29d6b1658554e7507"><td class="memItemLeft" align="right" valign="top">float8 [] </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a187574cfe85888b29d6b1658554e7507">lmf_igd_transition</a> (float8[] state, integer row_num, integer column_num, float8 val, float8[] previous_state, integer row_dim, integer column_dim, integer max_rank, float8 stepsize, float8 scale_factor)</td></tr>
+<tr class="separator:a187574cfe85888b29d6b1658554e7507"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ae3bb16a76a927e1e59420d4a8e13012f"><td class="memItemLeft" align="right" valign="top">float8 [] </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#ae3bb16a76a927e1e59420d4a8e13012f">lmf_igd_merge</a> (float8[] state1, float8[] state2)</td></tr>
+<tr class="separator:ae3bb16a76a927e1e59420d4a8e13012f"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a298f46c944cd6813b0360514bf8c9ed1"><td class="memItemLeft" align="right" valign="top">float8 [] </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a298f46c944cd6813b0360514bf8c9ed1">lmf_igd_final</a> (float8[] state)</td></tr>
+<tr class="separator:a298f46c944cd6813b0360514bf8c9ed1"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a54d2ca2048d9a0c29d5593530b932a23"><td class="memItemLeft" align="right" valign="top">aggregate float8 [] </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a54d2ca2048d9a0c29d5593530b932a23">lmf_igd_step</a> (integer row_num, integer column_num, float8 val, float8[] previous_state, integer row_dim, integer column_dim, integer max_rank, float8 stepsize, float8 scale_factor)</td></tr>
+<tr class="separator:a54d2ca2048d9a0c29d5593530b932a23"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a05860ded070a214128e0b4e64c9c989e"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a05860ded070a214128e0b4e64c9c989e">internal_lmf_igd_distance</a> (float8[] state1, float8[] state2)</td></tr>
+<tr class="separator:a05860ded070a214128e0b4e64c9c989e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a8dede6aa8d024f0bb9acca9a83dfd579"><td class="memItemLeft" align="right" valign="top">lmf_result </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a8dede6aa8d024f0bb9acca9a83dfd579">internal_lmf_igd_result</a> (float8[] state)</td></tr>
+<tr class="separator:a8dede6aa8d024f0bb9acca9a83dfd579"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aea3df2d68e7a289da928b8a584ac719e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#aea3df2d68e7a289da928b8a584ac719e">internal_execute_using_lmf_igd_args</a> (varchar sql, integer, integer, integer, float8, float8, integer, float8)</td></tr>
+<tr class="separator:aea3df2d68e7a289da928b8a584ac719e"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:aae221f5f5b2f670a93c00202b251857d"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#aae221f5f5b2f670a93c00202b251857d">internal_compute_lmf_igd</a> (varchar rel_args, varchar rel_state, varchar rel_source, varchar col_row, varchar col_column, varchar col_value)</td></tr>
+<tr class="separator:aae221f5f5b2f670a93c00202b251857d"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:ac1acb1f0e1f7008118f21c83546a4602"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#ac1acb1f0e1f7008118f21c83546a4602">lmf_igd_run</a> (varchar rel_output, regclass rel_source, varchar col_row, varchar col_column, varchar col_value, integer row_dim="SELECT max(col_row) FROM rel_source", integer column_dim="SELECT max(col_col) FROM rel_source", integer max_rank=20, float8 stepsize=0.01, float8 scale_factor=0.1, integer num_iterations=10, float8 tolerance=0.0001)</td></tr>
+<tr class="memdesc:ac1acb1f0e1f7008118f21c83546a4602"><td class="mdescLeft"> </td><td class="mdescRight">Low-rank matrix factorization of a incomplete matrix into two factors. <a href="#ac1acb1f0e1f7008118f21c83546a4602">More...</a><br /></td></tr>
+<tr class="separator:ac1acb1f0e1f7008118f21c83546a4602"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a917cb41e439c6786f91a27463dca0732"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a917cb41e439c6786f91a27463dca0732">lmf_igd_run</a> (varchar rel_output, regclass rel_source, varchar col_row, varchar col_column, varchar col_value, integer row_dim, integer column_dim, integer max_rank, float8 stepsize, float8 scale_factor)</td></tr>
+<tr class="separator:a917cb41e439c6786f91a27463dca0732"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a9b18ea9dd016d109a5c001762394e788"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a9b18ea9dd016d109a5c001762394e788">lmf_igd_run</a> (varchar rel_output, regclass rel_source, varchar col_row, varchar col_column, varchar col_value, integer row_dim, integer column_dim, integer max_rank, float8 stepsize)</td></tr>
+<tr class="separator:a9b18ea9dd016d109a5c001762394e788"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:a0c5c2d04936ac341e8c054237266938b"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#a0c5c2d04936ac341e8c054237266938b">lmf_igd_run</a> (varchar rel_output, regclass rel_source, varchar col_row, varchar col_column, varchar col_value, integer row_dim, integer column_dim, integer max_rank)</td></tr>
+<tr class="separator:a0c5c2d04936ac341e8c054237266938b"><td class="memSeparator" colspan="2"> </td></tr>
+<tr class="memitem:acaeef70cbcad01aadbad6fbce81d42fb"><td class="memItemLeft" align="right" valign="top">integer </td><td class="memItemRight" valign="bottom"><a class="el" href="lmf_8sql__in.html#acaeef70cbcad01aadbad6fbce81d42fb">lmf_igd_run</a> (varchar rel_output, regclass rel_source, varchar col_row, varchar col_column, text col_value)</td></tr>
+<tr class="separator:acaeef70cbcad01aadbad6fbce81d42fb"><td class="memSeparator" colspan="2"> </td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><dl class="section date"><dt>Date</dt><dd>June 2012</dd></dl>
+<dl class="section see"><dt>See also</dt><dd>For a brief introduction to Low-rank Matrix Factorization, see the module description <a class="el" href="group__grp__lmf.html">Low-Rank Matrix Factorization</a>. </dd></dl>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="aae221f5f5b2f670a93c00202b251857d"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aae221f5f5b2f670a93c00202b251857d">◆ </a></span>internal_compute_lmf_igd()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer internal_compute_lmf_igd </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_args</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="aea3df2d68e7a289da928b8a584ac719e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#aea3df2d68e7a289da928b8a584ac719e">◆ </a></span>internal_execute_using_lmf_igd_args()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">void internal_execute_using_lmf_igd_args </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>sql</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname">, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a05860ded070a214128e0b4e64c9c989e"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a05860ded070a214128e0b4e64c9c989e">◆ </a></span>internal_lmf_igd_distance()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">float8 internal_lmf_igd_distance </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state2</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a8dede6aa8d024f0bb9acca9a83dfd579"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a8dede6aa8d024f0bb9acca9a83dfd579">◆ </a></span>internal_lmf_igd_result()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">lmf_result internal_lmf_igd_result </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a298f46c944cd6813b0360514bf8c9ed1"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a298f46c944cd6813b0360514bf8c9ed1">◆ </a></span>lmf_igd_final()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">float8 [] lmf_igd_final </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state</em></td><td>)</td>
+ <td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="ae3bb16a76a927e1e59420d4a8e13012f"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae3bb16a76a927e1e59420d4a8e13012f">◆ </a></span>lmf_igd_merge()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">float8 [] lmf_igd_merge </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state1</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state2</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="ac1acb1f0e1f7008118f21c83546a4602"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ac1acb1f0e1f7008118f21c83546a4602">◆ </a></span>lmf_igd_run() <span class="overload">[1/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer lmf_igd_run </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_output</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">regclass </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em> = <code>"SELECT max(col_row) FROM rel_source"</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em> = <code>"SELECT max(col_col) FROM rel_source"</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em> = <code>20</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>stepsize</em> = <code>0.01</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>scale_factor</em> = <code>0.1</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>num_iterations</em> = <code>10</code>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>tolerance</em> = <code>0.0001</code> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+<p>This function takes as input the table representation of a incomplete matrix in the sparse (i, j, value) format and decomposes it into the specified set of most significant features of matrices of U and V matrix. The input matrix is expected to have dimension [1:row_dim][1:column_dim], but in sparse format.</p>
+<dl class="params"><dt>Parameters</dt><dd>
+ <table class="params">
+ <tr><td class="paramname">rel_output</td><td>Name of the table that the factors will be appended to </td></tr>
+ <tr><td class="paramname">rel_source</td><td>Name of the table/view with the source data </td></tr>
+ <tr><td class="paramname">col_row</td><td>Name of the column containing cell row number </td></tr>
+ <tr><td class="paramname">col_column</td><td>Name of the column containing cell column number </td></tr>
+ <tr><td class="paramname">col_value</td><td>Name of the column containing cell value </td></tr>
+ <tr><td class="paramname">row_dim</td><td>Maximum number of rows of input </td></tr>
+ <tr><td class="paramname">column_dim</td><td>Maximum number of columns of input </td></tr>
+ <tr><td class="paramname">max_rank</td><td>Rank of desired approximation </td></tr>
+ <tr><td class="paramname">stepsize</td><td>Hyper-parameter that decides how aggressive that the gradient steps are </td></tr>
+ <tr><td class="paramname">scale_factor</td><td>Hyper-parameter that decides scale of initial factors </td></tr>
+ <tr><td class="paramname">num_iterations</td><td>Maximum number if iterations to perform regardless of convergence </td></tr>
+ <tr><td class="paramname">tolerance</td><td>Acceptable level of error in convergence. </td></tr>
+ </table>
+ </dd>
+</dl>
+
+</div>
+</div>
+<a id="a917cb41e439c6786f91a27463dca0732"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a917cb41e439c6786f91a27463dca0732">◆ </a></span>lmf_igd_run() <span class="overload">[2/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer lmf_igd_run </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_output</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">regclass </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>stepsize</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>scale_factor</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a9b18ea9dd016d109a5c001762394e788"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a9b18ea9dd016d109a5c001762394e788">◆ </a></span>lmf_igd_run() <span class="overload">[3/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer lmf_igd_run </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_output</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">regclass </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>stepsize</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a0c5c2d04936ac341e8c054237266938b"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a0c5c2d04936ac341e8c054237266938b">◆ </a></span>lmf_igd_run() <span class="overload">[4/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer lmf_igd_run </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_output</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">regclass </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_value</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="acaeef70cbcad01aadbad6fbce81d42fb"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#acaeef70cbcad01aadbad6fbce81d42fb">◆ </a></span>lmf_igd_run() <span class="overload">[5/5]</span></h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">integer lmf_igd_run </td>
+ <td>(</td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>rel_output</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">regclass </td>
+ <td class="paramname"><em>rel_source</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_row</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">varchar </td>
+ <td class="paramname"><em>col_column</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">text </td>
+ <td class="paramname"><em>col_value</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a54d2ca2048d9a0c29d5593530b932a23"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a54d2ca2048d9a0c29d5593530b932a23">◆ </a></span>lmf_igd_step()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">aggregate float8 [] lmf_igd_step </td>
+ <td>(</td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>val</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>previous_state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>stepsize</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>scale_factor</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
+<a id="a187574cfe85888b29d6b1658554e7507"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a187574cfe85888b29d6b1658554e7507">◆ </a></span>lmf_igd_transition()</h2>
+
+<div class="memitem">
+<div class="memproto">
+ <table class="memname">
+ <tr>
+ <td class="memname">float8 [] lmf_igd_transition </td>
+ <td>(</td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_num</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>val</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 [] </td>
+ <td class="paramname"><em>previous_state</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>row_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>column_dim</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">integer </td>
+ <td class="paramname"><em>max_rank</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>stepsize</em>, </td>
+ </tr>
+ <tr>
+ <td class="paramkey"></td>
+ <td></td>
+ <td class="paramtype">float8 </td>
+ <td class="paramname"><em>scale_factor</em> </td>
+ </tr>
+ <tr>
+ <td></td>
+ <td>)</td>
+ <td></td><td></td>
+ </tr>
+ </table>
+</div><div class="memdoc">
+
+</div>
+</div>
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