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		<title>WikiSysop: Created page with &quot;== Citation ==  Rao, R.; Moscovich, A. &amp;amp; Singer, A. Wasserstein K-Means for Clustering Tomographic Projections. Proc. Machine Learning for Structural Biology Workshop, 202...&quot;</title>
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		<updated>2021-11-08T09:54:26Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Rao, R.; Moscovich, A. &amp;amp; Singer, A. Wasserstein K-Means for Clustering Tomographic Projections. Proc. Machine Learning for Structural Biology Workshop, 202...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Citation ==&lt;br /&gt;
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Rao, R.; Moscovich, A. &amp;amp;amp; Singer, A. Wasserstein K-Means for Clustering Tomographic Projections. Proc. Machine Learning for Structural Biology Workshop, 2021&lt;br /&gt;
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== Abstract ==&lt;br /&gt;
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Motivated by the 2D class averaging problem in single-particle cryo-electron microscopy, we present a k-means algorithm based on a rotationally-invariant Wasserstein metric for images. Unlike existing methods that are based on Euclidean (L2) distances, we prove that the Wasserstein metric better accommodates for the out-of-plane angular differences between different particle views. We demonstrate on a synthetic dataset that our method gives superior results compared to an L2 baseline. Furthermore, there is little computational overhead, thanks to the use of a fast linear-time approximation to the Wasserstein-1 metric, also known as the Earthmover’s distance. &lt;br /&gt;
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== Keywords ==&lt;br /&gt;
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== Links ==&lt;br /&gt;
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https://www.mlsb.io/papers/MLSB2020_Wasserstein_K-Means_for_Clustering.pdf&lt;br /&gt;
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== Related software ==&lt;br /&gt;
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== Related methods ==&lt;br /&gt;
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== Comments ==&lt;/div&gt;</summary>
		<author><name>WikiSysop</name></author>
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