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» Computing approximate PSD factorizations
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111
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ISSAC
2004
Springer
118views Mathematics» more  ISSAC 2004»
15 years 6 months ago
The approximate GCD of inexact polynomials
This paper presents an algorithm and its implementation for computing the approximate GCD (greatest common divisor) of multivariate polynomials whose coefficients may be inexact. ...
Zhonggang Zeng, Barry H. Dayton
CORR
2008
Springer
92views Education» more  CORR 2008»
15 years 1 months ago
Nonnegative Matrix Factorization via Rank-One Downdate
Nonnegative matrix factorization (NMF) was popularized as a tool for data mining by Lee and Seung in 1999. NMF attempts to approximate a matrix with nonnegative entries by a produ...
Michael Biggs, Ali Ghodsi, Stephen A. Vavasis
FOCS
1993
IEEE
15 years 5 months ago
On Bounded Queries and Approximation
This paper investigates the computational complexity of approximating several NPoptimization problems using the number of queries to an NP oracle as a complexity measure. The resu...
Richard Chang, William I. Gasarch
116
Voted
FOCS
2004
IEEE
15 years 4 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot
STOC
2007
ACM
83views Algorithms» more  STOC 2007»
16 years 1 months ago
Lattices that admit logarithmic worst-case to average-case connection factors
We demonstrate an average-case problem that is as hard as finding (n)-approximate shortest vectors in certain n-dimensional lattices in the worst case, where (n) = O( log n). The...
Chris Peikert, Alon Rosen