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FOCS
1990
IEEE
14 years 2 months ago
Matrix Decomposition Problem Is Complete for the Average Case
The first algebraic average-case complete problem is presented. It is arguably the simplest natural average-case complete problem to date.
Yuri Gurevich
STACS
2010
Springer
14 years 5 months ago
Collapsing and Separating Completeness Notions under Average-Case and Worst-Case Hypotheses
This paper presents the following results on sets that are complete for NP. (i) If there is a problem in NP that requires 2nΩ(1) time at almost all lengths, then every many-one N...
Xiaoyang Gu, John M. Hitchcock, Aduri Pavan
ICFCA
2009
Springer
14 years 5 months ago
Factor Analysis of Incidence Data via Novel Decomposition of Matrices
Matrix decomposition methods provide representations of an object-variable data matrix by a product of two different matrices, one describing relationship between objects and hidd...
Radim Belohlávek, Vilém Vychodil
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 5 months ago
Deterministic Polynomial Time Algorithms for Matrix Completion Problems
We present new deterministic algorithms for several cases of the maximum rank matrix completion problem (for short matrix completion), i.e. the problem of assigning values to the ...
Gábor Ivanyos, Marek Karpinski, Nitin Saxen...