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Perspectives on CUR Decompositions

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arxiv 1907.12668 v2 pith:YJU6XZVV submitted 2019-07-29 math.NA cs.NA

Perspectives on CUR Decompositions

classification math.NA cs.NA
keywords decompositiondecompositionsviewpointsadditionallycalledcasecharacterizationcomparing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This note discusses an interesting matrix factorization called the CUR Decomposition. We illustrate various viewpoints of this method by comparing and contrasting them in different situations. Additionally, we offer a new characterization of CUR decompositions which synergizes these viewpoints and shows that they are indeed the same in the exact decomposition case.

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