Richard Küng, Joel A. Tropp,
"Binary Component Decomposition Part I: The Positive-Semidefinite Case"
, in SIAM Journal on Mathematics of Data Science, Vol. 3, Nummer 2, Seite(n) 544-572, 2021, ISSN: 2577-0187
Original Titel:
Binary Component Decomposition Part I: The Positive-Semidefinite Case
Sprache des Titels:
Englisch
Original Kurzfassung:
This paper studies the problem of decomposing a low-rank positive-semidefinite matrix into symmetric factors with binary entries, either {+1,-1} or {0,1}. This 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. A companion paper addresses the related problem of decomposing a low-rank rectangular matrix into a binary factor and an unconstrained factor.