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GMM算法的matlab程序.html
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<h1 style="text-align: center;">GMM算法的matlab程序</h1>
<p><span style="font-size: 16px;">在“<a id="cb_post_title_url" class="postTitle2" href="https://www.cnblogs.com/kailugaji/p/9920781.html">GMM算法的matlab程序（初步）</a>”这篇文章中已经用matlab程序对iris数据库进行简单的实现，下面的程序最终的目的是求准确度。</span></p>
<p><span style="font-size: 16px;">作者：凯鲁嘎吉 - 博客园 http://www.cnblogs.com/kailugaji/</span></p>
<h2>1.采用iris数据库</h2>
<h3><span style="font-size: 16px;">iris_data.txt</span></h3>
<div class="cnblogs_code" onclick="cnblogs_code_show('2551d2f0-0dcb-4ce1-b9ca-f97dce36438e')"><img src="http://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif" alt="" id="code_img_closed_2551d2f0-0dcb-4ce1-b9ca-f97dce36438e" class="code_img_closed" /><img src="http://images.cnblogs.com/OutliningIndicators/ExpandedBlockStart.gif" alt="" id="code_img_opened_2551d2f0-0dcb-4ce1-b9ca-f97dce36438e" class="code_img_opened" style="display: none;" />
<div id="cnblogs_code_open_2551d2f0-0dcb-4ce1-b9ca-f97dce36438e" class="cnblogs_code_hide">
<pre><span style="color: #800080;">5.1</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.7</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.6</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.6</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3.9</span> <span style="color: #800080;">1.7</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">4.6</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.4</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.1</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3.7</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.8</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.8</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.1</span>
<span style="color: #800080;">4.3</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.1</span> <span style="color: #800080;">0.1</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1.2</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">4.4</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3.9</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">1.7</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.7</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.7</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">4.6</span> <span style="color: #800080;">3.6</span> <span style="color: #800080;">1</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">1.7</span> <span style="color: #800080;">0.5</span>
<span style="color: #800080;">4.8</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.9</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">5.2</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.2</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.7</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.8</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">5.2</span> <span style="color: #800080;">4.1</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.1</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">4.2</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">1.2</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">3.6</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.1</span>
<span style="color: #800080;">4.4</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">4.5</span> <span style="color: #800080;">2.3</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">4.4</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">1.3</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.6</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">1.9</span> <span style="color: #800080;">0.4</span>
<span style="color: #800080;">4.8</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.3</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">1.6</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">4.6</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5.3</span> <span style="color: #800080;">3.7</span> <span style="color: #800080;">1.5</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">1.4</span> <span style="color: #800080;">0.2</span>
<span style="color: #800080;">7</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">4.7</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6.9</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">4.9</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">2.3</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.5</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.6</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">4.7</span> <span style="color: #800080;">1.6</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">2.4</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">6.6</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.6</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.2</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">3.9</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">2</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">5.9</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.2</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">2.2</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.7</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">3.6</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">4.4</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">4.1</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">6.2</span> <span style="color: #800080;">2.2</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">3.9</span> <span style="color: #800080;">1.1</span>
<span style="color: #800080;">5.9</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">4.8</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">4.9</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.7</span> <span style="color: #800080;">1.2</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.3</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.6</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.4</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">6.8</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.8</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5</span> <span style="color: #800080;">1.7</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">2.6</span> <span style="color: #800080;">3.5</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">2.4</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">1.1</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">2.4</span> <span style="color: #800080;">3.7</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">3.9</span> <span style="color: #800080;">1.2</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">1.6</span>
<span style="color: #800080;">5.4</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.6</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">4.7</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.3</span> <span style="color: #800080;">4.4</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.1</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.5</span> <span style="color: #800080;">2.6</span> <span style="color: #800080;">4.4</span> <span style="color: #800080;">1.2</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.6</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.6</span> <span style="color: #800080;">4</span> <span style="color: #800080;">1.2</span>
<span style="color: #800080;">5</span> <span style="color: #800080;">2.3</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">1</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">4.2</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.2</span> <span style="color: #800080;">1.2</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.2</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.2</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">4.3</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">5.1</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">3</span> <span style="color: #800080;">1.1</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.1</span> <span style="color: #800080;">1.3</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">6</span> <span style="color: #800080;">2.5</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">1.9</span>
<span style="color: #800080;">7.1</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.9</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.5</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.8</span> <span style="color: #800080;">2.2</span>
<span style="color: #800080;">7.6</span> <span style="color: #800080;">3</span> <span style="color: #800080;">6.6</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">4.9</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">4.5</span> <span style="color: #800080;">1.7</span>
<span style="color: #800080;">7.3</span> <span style="color: #800080;">2.9</span> <span style="color: #800080;">6.3</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">5.8</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">7.2</span> <span style="color: #800080;">3.6</span> <span style="color: #800080;">6.1</span> <span style="color: #800080;">2.5</span>
<span style="color: #800080;">6.5</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">5.3</span> <span style="color: #800080;">1.9</span>
<span style="color: #800080;">6.8</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.5</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">5.7</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">5</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">2.4</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">5.3</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">6.5</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.5</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">7.7</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">6.7</span> <span style="color: #800080;">2.2</span>
<span style="color: #800080;">7.7</span> <span style="color: #800080;">2.6</span> <span style="color: #800080;">6.9</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">2.2</span> <span style="color: #800080;">5</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6.9</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">5.7</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">5.6</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.9</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">7.7</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">6.7</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">4.9</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">5.7</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">7.2</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">6</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.2</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">4.8</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.9</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">7.2</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.8</span> <span style="color: #800080;">1.6</span>
<span style="color: #800080;">7.4</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">6.1</span> <span style="color: #800080;">1.9</span>
<span style="color: #800080;">7.9</span> <span style="color: #800080;">3.8</span> <span style="color: #800080;">6.4</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">2.2</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.8</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">1.5</span>
<span style="color: #800080;">6.1</span> <span style="color: #800080;">2.6</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">1.4</span>
<span style="color: #800080;">7.7</span> <span style="color: #800080;">3</span> <span style="color: #800080;">6.1</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">2.4</span>
<span style="color: #800080;">6.4</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">5.5</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6</span> <span style="color: #800080;">3</span> <span style="color: #800080;">4.8</span> <span style="color: #800080;">1.8</span>
<span style="color: #800080;">6.9</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">5.4</span> <span style="color: #800080;">2.1</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">5.6</span> <span style="color: #800080;">2.4</span>
<span style="color: #800080;">6.9</span> <span style="color: #800080;">3.1</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">5.8</span> <span style="color: #800080;">2.7</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">1.9</span>
<span style="color: #800080;">6.8</span> <span style="color: #800080;">3.2</span> <span style="color: #800080;">5.9</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3.3</span> <span style="color: #800080;">5.7</span> <span style="color: #800080;">2.5</span>
<span style="color: #800080;">6.7</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.2</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">6.3</span> <span style="color: #800080;">2.5</span> <span style="color: #800080;">5</span> <span style="color: #800080;">1.9</span>
<span style="color: #800080;">6.5</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.2</span> <span style="color: #800080;">2</span>
<span style="color: #800080;">6.2</span> <span style="color: #800080;">3.4</span> <span style="color: #800080;">5.4</span> <span style="color: #800080;">2.3</span>
<span style="color: #800080;">5.9</span> <span style="color: #800080;">3</span> <span style="color: #800080;">5.1</span> <span style="color: #800080;">1.8</span></pre>
</div>
<span class="cnblogs_code_collapse">View Code</span></div>
<h3><span style="font-size: 16px;">iris_id.txt</span></h3>
<div class="cnblogs_code" onclick="cnblogs_code_show('18fc630b-bc05-47df-8081-ea2ee7fbc9b7')"><img src="http://images.cnblogs.com/OutliningIndicators/ContractedBlock.gif" alt="" id="code_img_closed_18fc630b-bc05-47df-8081-ea2ee7fbc9b7" class="code_img_closed" /><img src="http://images.cnblogs.com/OutliningIndicators/ExpandedBlockStart.gif" alt="" id="code_img_opened_18fc630b-bc05-47df-8081-ea2ee7fbc9b7" class="code_img_opened" style="display: none;" />
<div id="cnblogs_code_open_18fc630b-bc05-47df-8081-ea2ee7fbc9b7" class="cnblogs_code_hide">
<pre><span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">0</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">1</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span>
<span style="color: #800080;">2</span></pre>
</div>
<span class="cnblogs_code_collapse">View Code</span></div>
<h2>2.matlab程序</h2>
<h3><span style="font-size: 16px;">My_GMM.m</span></h3>
<div class="cnblogs_Highlighter">
<pre class="brush:matlab;gutter:true;">function label_2=My_GMM(K)
%输入K：聚类数，K个单高斯模型
%输出label_2:聚的类，para_pi:单高斯权重，para_miu_new:高斯分布参数μ，para_sigma:高斯分布参数sigma
format long
eps=1e-15; %定义迭代终止条件的eps
data=dlmread('E:\www.cnblogs.comkailugaji\data\iris\iris_data.txt');
%----------------------------------------------------------------------------------------------------
%对data做最大-最小归一化处理
[data_num,~]=size(data);
X=(data-ones(data_num,1)*min(data))./(ones(data_num,1)*(max(data)-min(data)));
[X_num,X_dim]=size(X);
para_sigma=zeros(X_dim,X_dim,K);
%----------------------------------------------------------------------------------------------------
%随机初始化K个聚类中心
rand_array=randperm(X_num); %产生1~X_num之间整数的随机排列
center=X(rand_array(1:K),:); %随机排列取前K个数，在X矩阵中取这K行作为初始聚类中心
%根据上述聚类中心初始化参数
para_miu_new=center; %初始化参数miu
para_pi=ones(1,K)./K; %K类单高斯模型的权重
for k=1:K
para_sigma(:,:,k)=eye(X_dim); %K类单高斯模型的协方差矩阵,初始化为单位阵
end
%欧氏距离，计算（X-para_miu）^2=X^2+para_miu^2-2*X*para_miu'，矩阵大小为X_num*K
distant=repmat(sum(X.*X,2),1,K)+repmat(sum(para_miu_new.*para_miu_new,2)',X_num,1)-2*X*para_miu_new';
%返回distant每行最小值所在的下标
[~,label_1]=min(distant,[],2);
for k=1:K
X_k=X(label_1==k,:); %X_k是一个（X_num/K, X_dim）的矩阵,把X矩阵分为K类
para_pi(k)=size(X_k,1)/X_num; %将（每一类数据的个数/X_num）作为para_pi的初始值
para_sigma(:,:,k)=cov(X_k); %para_sigma是一个（X_dim, X_dim）的矩阵，cov(矩阵)求的是每一列之间的协方差
end
%----------------------------------------------------------------------------------------------------
%EM算法
N_pdf=zeros(X_num,K);
while true
para_miu=para_miu_new;
%----------------------------------------------------------------------------------------------------
%E步
%单高斯分布的概率密度函数N_pdf
for k=1:K
X_miu=X-repmat(para_miu(k,:),X_num,1); %X-miu,(X_num, X_dim)的矩阵
sigma_inv=inv(para_sigma(:,:,k)); %sigma的逆矩阵,(X_dim, X_dim)的矩阵//很可能出现奇异矩阵
exp_up=sum((X_miu*sigma_inv).*X_miu,2); %指数的幂，(X-miu)'*sigma^(-1)*(X-miu)
coefficient=(2*pi)^(-X_dim/2)*sqrt(det(sigma_inv)); %高斯分布的概率密度函数e左边的系数
N_pdf(:,k)=coefficient*exp(-0.5*exp_up);
end
% N_pdf=guass_pdf(X,K,para_miu,para_sigma);
responsivity=N_pdf.*repmat(para_pi,X_num,1); %响应度responsivity的分子，（X_num,K）的矩阵
responsivity=responsivity./repmat(sum(responsivity,2),1,K); %responsivity:在当前模型下第n个观测数据来自第k个分模型的概率，即分模型k对观测数据Xn的响应度
%----------------------------------------------------------------------------------------------------
%M步
R_k=sum(responsivity,1); %(1,K)的矩阵，把responsivity每一列求和
%更新参数miu
para_miu_new=diag(1./R_k)*responsivity'*X;
%更新k个参数sigma
for i=1:K
X_miu=X-repmat(para_miu_new(i,:),X_num,1);
para_sigma(:,:,i)=(X_miu'*(diag(responsivity(:,i))*X_miu))/R_k(i);
end
%更新参数pi
para_pi=R_k/sum(R_k);
%----------------------------------------------------------------------------------------------------
%迭代终止条件
if norm(para_miu_new-para_miu)<=eps
break;
end
end
%----------------------------------------------------------------------------------------------------
%聚类
[~,label_2]=max(responsivity,[],2);</pre>
</div>
<h3><span style="font-size: 16px;">succeed.m</span></h3>
<div class="cnblogs_Highlighter">
<pre class="brush:matlab;gutter:true;">function accuracy=succeed(K,id)
%输入K：聚的类，id：训练后的聚类结果，N*1的矩阵
N=size(id,1); %样本个数
p=perms(1:K); %全排列矩阵
p_col=size(p,1); %全排列的行数
new_label=zeros(N,p_col); %聚类结果的所有可能取值，N*p_col
num=zeros(1,p_col); %与真实聚类结果一样的个数
real_label=dlmread('E:\www.cnblogs.comkailugaji\data\iris\iris_id.txt');
%将训练结果全排列为N*p_col的矩阵，每一列为一种可能性
for i=1:N
for j=1:p_col
for k=1:K
if id(i)==k
new_label(i,j)=p(j,k)-1;
end
end
end
end
%与真实结果比对，计算精确度
for j=1:p_col
for i=1:N
if new_label(i,j)==real_label(i)
num(j)=num(j)+1;
end
end
end
accuracy=max(num)/N;
</pre>
</div>
<h2>3.结果</h2>
<div class="cnblogs_Highlighter">
<pre class="brush:matlab;gutter:true;">>> label_1=My_GMM(3);
>> accuracy=succeed(3,label_1)
accuracy =
0.966666666666667</pre>
</div>
<h2>4.注意</h2>
<p> <span style="font-size: 16px;"> GMM算法我只进行了一次计算准确度，因为有可能会出现奇异矩阵的情况，导致算法出错，现在我还没有想出如何解决奇异矩阵的问题，因此只给出了一次循环。望指正。</span></p>
<p><span style="font-size: 16px;"> 2020.7.30 奇异问题已初步解决，见评论链接。</span></p>
<p><span style="font-size: 18px; font-family: 'times new roman', times;">补充：GMM的Python代码：<a href="https://github.com/wl-lei/upload/blob/master/homework/GMM.py" target="_blank">upload/GMM.py at master · wl-lei/upload · GitHub</a></span></p>
<p><span style="font-size: 18px; font-family: 'times new roman', times;"> GMM的MATLAB代码：<a href="https://github.com/kailugaji/Gaussian_Mixture_Model_for_Clustering" target="_blank">https://github.com/kailugaji/Gaussian_Mixture_Model_for_Clustering</a> （<span style="color: #ff6600;">注意！！！</span>：我完善了GMM程序，比这篇博客的代码更加完善，放到了GitHub里面，进一步了解GMM代码请移步GitHub）<a href="https://github.com/kailugaji/GaussianMixtureModel-clustering" target="_blank"><br /></a></span></p>