mhjensen
138 lines
4.8 KiB
HTML
138 lines
4.8 KiB
HTML
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<html>
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<meta name="description" content="Data Analysis and Machine Learning: Dimensionality Reduction">
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<title>Data Analysis and Machine Learning: Dimensionality Reduction</title>
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<!-- tocinfo
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{'highest level': 2,
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'sections': [('Reducing the number of degrees of freedom, overarching view',
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2,
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None,
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'___sec0'),
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('Principal Component Analysis', 2, None, '___sec1'),
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('Kernel PCA', 2, None, '___sec2'),
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('LLE', 2, None, '___sec3'),
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('Other techniques', 2, None, '___sec4')]}
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end of tocinfo -->
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<body>
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<a class="navbar-brand" href="DimRed-bs.html">Data Analysis and Machine Learning: Dimensionality Reduction</a>
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<ul class="nav navbar-nav navbar-right">
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<li class="dropdown">
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<a href="#" class="dropdown-toggle" data-toggle="dropdown">Contents <b class="caret"></b></a>
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<ul class="dropdown-menu">
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<!-- navigation toc: --> <li><a href="._DimRed-bs001.html#___sec0" style="font-size: 80%;">Reducing the number of degrees of freedom, overarching view</a></li>
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<!-- navigation toc: --> <li><a href="._DimRed-bs002.html#___sec1" style="font-size: 80%;">Principal Component Analysis</a></li>
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<!-- navigation toc: --> <li><a href="._DimRed-bs003.html#___sec2" style="font-size: 80%;">Kernel PCA</a></li>
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<!-- navigation toc: --> <li><a href="#___sec3" style="font-size: 80%;">LLE</a></li>
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<!-- navigation toc: --> <li><a href="._DimRed-bs005.html#___sec4" style="font-size: 80%;">Other techniques</a></li>
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</ul>
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</li>
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</div>
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<div class="container">
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<p> </p><p> </p><p> </p> <!-- add vertical space -->
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<a name="part0004"></a>
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<!-- !split -->
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<h2 id="___sec3" class="anchor">LLE </h2>
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<p>
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Locally Linear Embedding (LLE)8 is another very powerful nonlinear dimensionality reduction
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(NLDR) technique. It is a Manifold Learning technique that does not rely on projections like the previous
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algorithms. In a nutshell, LLE works by first measuring how each training instance linearly relates to its
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closest neighbors (c.n.), and then looking for a low-dimensional representation of the training set where
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these local relationships are best preserved (more details shortly). This makes it particularly good at
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unrolling twisted manifolds, especially when there is not too much noise.
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<p>
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<p>
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<li><a href="._DimRed-bs003.html">«</a></li>
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<li><a href="._DimRed-bs000.html">1</a></li>
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<li><a href="._DimRed-bs001.html">2</a></li>
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<li><a href="._DimRed-bs002.html">3</a></li>
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<li><a href="._DimRed-bs003.html">4</a></li>
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<li class="active"><a href="._DimRed-bs004.html">5</a></li>
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<li><a href="._DimRed-bs005.html">6</a></li>
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<li><a href="._DimRed-bs005.html">»</a></li>
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