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NP-Hardness and Inapproximability of Sparse PCA

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arxiv 1502.05675 v2 pith:ZXHVOWKM submitted 2015-02-19 cs.LG cs.CCcs.DSmath.COstat.ML

NP-Hardness and Inapproximability of Sparse PCA

classification cs.LG cs.CCcs.DSmath.COstat.ML
keywords sparseexcludereductionalgorithmsapproximationassumptionscliquecomplexity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We give a reduction from {\sc clique} to establish that sparse PCA is NP-hard. The reduction has a gap which we use to exclude an FPTAS for sparse PCA (unless P=NP). Under weaker complexity assumptions, we also exclude polynomial constant-factor approximation algorithms.

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Cited by 2 Pith papers

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