proof of Theorem 1: Difference between revisions
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Revision as of 20:56, 8 November 2010
Let [math]\displaystyle{ \textbf{u}_k }[/math] and [math]\displaystyle{ \textbf{v}_k }[/math] denote column k of [math]\displaystyle{ \textbf{U} }[/math] and [math]\displaystyle{ \textbf{V} }[/math] respectively, We prove the theorem by expanding out the squared Frobenius norm and rearranging terms:
The above proof is the proof of Theorem 2.1 in Witten, Tibshirani and Hastie, 2009 <ref name="WTH2009"> </ref>