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    <title>PCA on Ivan Carnevali</title>
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      <title>Dimension Reduction using PCA and GPLVM for Simulated Cylinder and Real Handwritten Digits</title>
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      <pubDate>Thu, 25 Jul 2024 00:00:00 +0000</pubDate>
      
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      <description>&lt;p&gt;This project explores &lt;strong&gt;dimensionality reduction&lt;/strong&gt; techniques through a comparative analysis of &lt;strong&gt;Principal Component Analysis (PCA)&lt;/strong&gt; and &lt;strong&gt;Gaussian Process Latent Variable Models (GPLVM)&lt;/strong&gt;.&lt;br&gt;
The methods were applied both to a &lt;strong&gt;simulated cylindrical dataset&lt;/strong&gt; and to the &lt;strong&gt;MNIST handwritten digits dataset&lt;/strong&gt; to evaluate and compare their effectiveness in capturing low-dimensional structures within high-dimensional data.&lt;/p&gt;
&lt;p&gt;The work represents my &lt;strong&gt;bachelor’s thesis project&lt;/strong&gt;, focused on assessing the strengths and limitations of linear (PCA) and nonlinear (GPLVM) approaches for feature extraction and visualization.&lt;/p&gt;
&lt;p&gt;&lt;a href=&#34;http://localhost:6824/files/Thesis.pdf&#34;&gt;Download the Thesis PDF&lt;/a&gt;&lt;/p&gt;
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