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	<title>amarkos&#124;gr&#124;blog &#187; svd</title>
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		<title>A Tribute to the SVD</title>
		<link>http://www.amarkos.gr/blog/2009/04/326/</link>
		<comments>http://www.amarkos.gr/blog/2009/04/326/#comments</comments>
		<pubDate>Wed, 01 Apr 2009 20:06:06 +0000</pubDate>
		<dc:creator>amarkos</dc:creator>
				<category><![CDATA[Επιστήμη]]></category>
		<category><![CDATA[data analysis]]></category>
		<category><![CDATA[matrix factorization]]></category>
		<category><![CDATA[Statistics]]></category>
		<category><![CDATA[svd]]></category>

		<guid isPermaLink="false">http://www.amarkos.gr/blog/?p=326</guid>
		<description><![CDATA[It was a love at first sight. The Singular Value Decomposition-SVD came into my (research) life back in 2002 as a crucial step of a whole family of Multivariate Data Analysis methods, such as Correspondence Analysis, Principal Component Analysis, Multidimensional Scaling and other. Most of us take advantage of its nice geometric properties as a [...]]]></description>
			<content:encoded><![CDATA[<p align="justify">It was a love at first sight. The Singular Value Decomposition-SVD came into my (research) life back in 2002 as a crucial step of a whole family of Multivariate Data Analysis methods, such as Correspondence Analysis, Principal Component Analysis, Multidimensional Scaling and other. Most of us take advantage of its nice geometric properties as a &#8220;black box&#8221;, since it&#8217;s an important factorization technique with a wide spectrum of applications in statistics and machine learning.</p>
<p align="justify">I was wondering how many research articles mention the term SVD in a time period from 1970 to 2008, so I did a series of searches in Google Scholar. SVD gains more and more attention (see Figure below), especially after 1990, with a boom during the 00s. However, I can&#8217;t explain the fall in 2008 (I bet it&#8217;s not statistically significant :p). How long can the SVD stand the competition of more efficient methods? Will see.</p>
<div id="attachment_333" class="wp-caption aligncenter" style="width: 472px"><a href="http://www.amarkos.gr/blog/wp-content/uploads/2009/04/svd-scholar.png"><img src="http://www.amarkos.gr/blog/wp-content/uploads/2009/04/svd-scholar.png" alt="SVD Search Results in Google Scholar" title="svd-scholar" width="462" height="206" class="size-full wp-image-333" /></a><p class="wp-caption-text">SVD Search Results in Google Scholar</p></div>
<p>[read more at <a href="http://en.wikipedia.org/wiki/Singular_value_decomposition">Wikipedia</a>]</p>
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