Binary component decomposition Part II: The asymmetric case

07/31/2019

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by   Richard Kueng, et al.

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This paper studies the problem of decomposing a low-rank matrix into a factor with binary entries, either from {± 1} or from {0,1}, and an unconstrained factor. The research answers fundamental questions about the existence and uniqueness of these decompositions. It also leads to tractable factorization algorithms that succeed under a mild deterministic condition. This work builds on a companion paper that addresses the related problem of decomposing a low-rank positive-semidefinite matrix into symmetric binary factors.