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<p>Implementation of complete-linkage agglomerative hierarchical clustering.
<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:a194227719a4d2a2e7ff18d208b087c90"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a194227719a4d2a2e7ff18d208b087c90">complete_linkage</a> (text dist_tab, text id1, text id2, text dist, text output, text stop_criterion, numeric iter)</td></tr>
<tr class="memdesc:a194227719a4d2a2e7ff18d208b087c90"><td class="mdescLeft"> </td><td class="mdescRight">Build a complete-linkage hierarchical clustering tree. <a href="#a194227719a4d2a2e7ff18d208b087c90">More...</a><br /></td></tr>
<tr class="separator:a194227719a4d2a2e7ff18d208b087c90"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac98a033b3b15df99f2879a8bd6707b9b"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#ac98a033b3b15df99f2879a8bd6707b9b">cut_hclust_tree</a> (text dist_tab, text id1, text id2, text dist, text hclust_tree_tab, float height, text output)</td></tr>
<tr class="memdesc:ac98a033b3b15df99f2879a8bd6707b9b"><td class="mdescLeft"> </td><td class="mdescRight">Cut the clustering tree produced by the <a class="el" href="complete__linkage_8sql__in.html#a194227719a4d2a2e7ff18d208b087c90" title="Build a complete-linkage hierarchical clustering tree. ">complete_linkage()</a> function at a certain height, and find the exemplar of each cluster. An exemplar is the data point which has the shortest average distance to its peers in the cluster. <a href="#ac98a033b3b15df99f2879a8bd6707b9b">More...</a><br /></td></tr>
<tr class="separator:ac98a033b3b15df99f2879a8bd6707b9b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abf6643b02fd670f9e27c3a6e297fb566"><td class="memItemLeft" align="right" valign="top">__clink_set_of_nearest_clust_complete </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#abf6643b02fd670f9e27c3a6e297fb566">__clink_find_nn_complete</a> (text dist_tab, text clust_tab, int[] clusta_id, __clink_cluster_activeness cluster_activeness)</td></tr>
<tr class="separator:abf6643b02fd670f9e27c3a6e297fb566"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a394aca2e3ce1180b70625df80386b91b"><td class="memItemLeft" align="right" valign="top">__clink_set_of_nearest_clust_complete </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a394aca2e3ce1180b70625df80386b91b">__clink_init_nn_table_complete</a> (text dist_tab, text clust_tab, __clink_cluster_activeness cluster_activeness)</td></tr>
<tr class="separator:a394aca2e3ce1180b70625df80386b91b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aacee36c6883c3f45457351a4019b3902"><td class="memItemLeft" align="right" valign="top">__clink_set_of_nearest_clust_complete </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#aacee36c6883c3f45457351a4019b3902">__clink_update_nn_table_complete</a> (text dist_tab, text clust_tab, int clust_id, __clink_cluster_activeness cluster_activeness)</td></tr>
<tr class="separator:aacee36c6883c3f45457351a4019b3902"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a50f643d6b0e91f786bfa77f8e325f1b2"><td class="memItemLeft" align="right" valign="top">__clink_set_of_nearest_clust_complete </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a50f643d6b0e91f786bfa77f8e325f1b2">__clink_expand_nn_table_complete</a> (text dist_tab, text clust_tab, int new_clust_id, __clink_cluster_activeness cluster_activeness)</td></tr>
<tr class="separator:a50f643d6b0e91f786bfa77f8e325f1b2"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1fdb6c7c3f81a5671fc6afcc412dec81"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a1fdb6c7c3f81a5671fc6afcc412dec81">complete_linkage</a> ()</td></tr>
<tr class="separator:a1fdb6c7c3f81a5671fc6afcc412dec81"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5bdc74c6cd7019ef545a570c19f6dc95"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a5bdc74c6cd7019ef545a570c19f6dc95">complete_linkage</a> (text)</td></tr>
<tr class="separator:a5bdc74c6cd7019ef545a570c19f6dc95"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad2ad8aaa80507e51d42eee544bfc0307"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#ad2ad8aaa80507e51d42eee544bfc0307">cut_hclust_tree</a> ()</td></tr>
<tr class="separator:ad2ad8aaa80507e51d42eee544bfc0307"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a75cdf8c6758bee9ef21b6af32a68302a"><td class="memItemLeft" align="right" valign="top">text </td><td class="memItemRight" valign="bottom"><a class="el" href="complete__linkage_8sql__in.html#a75cdf8c6758bee9ef21b6af32a68302a">cut_hclust_tree</a> (text)</td></tr>
<tr class="separator:a75cdf8c6758bee9ef21b6af32a68302a"><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 author"><dt>Author</dt><dd>Written by Jin Yu </dd></dl>
<dl class="section date"><dt>Date</dt><dd>22 September 2014 </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="a50f643d6b0e91f786bfa77f8e325f1b2"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">__clink_set_of_nearest_clust_complete __clink_expand_nn_table_complete </td>
<td>(</td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>clust_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>new_clust_id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">__clink_cluster_activeness </td>
<td class="paramname"><em>cluster_activeness</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="abf6643b02fd670f9e27c3a6e297fb566"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">__clink_set_of_nearest_clust_complete __clink_find_nn_complete </td>
<td>(</td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>clust_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int[] </td>
<td class="paramname"><em>clusta_id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">__clink_cluster_activeness </td>
<td class="paramname"><em>cluster_activeness</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a394aca2e3ce1180b70625df80386b91b"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">__clink_set_of_nearest_clust_complete __clink_init_nn_table_complete </td>
<td>(</td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>clust_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">__clink_cluster_activeness </td>
<td class="paramname"><em>cluster_activeness</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="aacee36c6883c3f45457351a4019b3902"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">__clink_set_of_nearest_clust_complete __clink_update_nn_table_complete </td>
<td>(</td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>clust_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>clust_id</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">__clink_cluster_activeness </td>
<td class="paramname"><em>cluster_activeness</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a194227719a4d2a2e7ff18d208b087c90"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void complete_linkage </td>
<td>(</td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist_tab</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>id1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>id2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>dist</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>output</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">text </td>
<td class="paramname"><em>stop_criterion</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">numeric </td>
<td class="paramname"><em>iter</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">dist_tab</td><td>Table that contains pairwise distances of data. It suffices to provide only the lower or upper triangular part of the distance matrix. </td></tr>
<tr><td class="paramname">id1</td><td>ID column of data point 1 in dist_tab. </td></tr>
<tr><td class="paramname">id2</td><td>ID column of data point 2 in dist_tab. </td></tr>
<tr><td class="paramname">dist</td><td>Column of pairwise distances. (Missing rows are taken to be 0 distance.) </td></tr>
<tr><td class="paramname">output</td><td>Name of the result table, containing the constructed hierarchical clustering tree. </td></tr>
<tr><td class="paramname">stop_criterion</td><td>Stopping criterion used to stop the clustering. Use 'max_iter' to stop the clustering after a max number of iterations (NULL to build the entire clustering tree). Use 'threshold' to stop the clustering after the max distance between clusters reaches a threshold value. </td></tr>
<tr><td class="paramname">iter</td><td>Value corresponding to the stop_criterion</td></tr>
</table>
</dd>
</dl>
<p>Sample usage: SELECT complete_linkage('test_dist','id1','id2','dist','test_output',NULL);</p>
<p>See also the cut_hclust_tree_complete() function for cutting the clustering tree to form flat clusters. </p>
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<td class="memname">void cut_hclust_tree </td>
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<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">dist_tab</td><td>Table that contains pairwise distances of data. It suffices to provide only the lower or upper triangular part of the distance matrix. </td></tr>
<tr><td class="paramname">id1</td><td>ID column of data point 1 in dist_tab. </td></tr>
<tr><td class="paramname">id2</td><td>ID column of data point 2 in dist_tab. </td></tr>
<tr><td class="paramname">dist</td><td>Column of pairwise distance. (Missing rows are taken to be 0 distance.) </td></tr>
<tr><td class="paramname">hclust_tree_tab</td><td>Table that contains the clustering tree produced by <a class="el" href="complete__linkage_8sql__in.html#a194227719a4d2a2e7ff18d208b087c90" title="Build a complete-linkage hierarchical clustering tree. ">complete_linkage()</a>. </td></tr>
<tr><td class="paramname">height</td><td>Height to cut the tree. </td></tr>
<tr><td class="paramname">output</td><td>Output table containing cluster IDs, members of clusters, heights (complete-linkage distances) of clusters, and exemplars.</td></tr>
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<p>Sample usage: SELECT pdltools.cut_hclust_tree('test_dist','id1','id2','dist','test_output',0.5,'test_cluster'); SELECT * FROM test_cluster; </p>
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