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» Complexity bounds for zero-test algorithms
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FSTTCS
2004
Springer
15 years 3 months ago
Testing Geometric Convexity
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ∈ Rn such that the volume of their symmetric differe...
Luis Rademacher, Santosh Vempala
NIPS
2008
14 years 11 months ago
Evaluating probabilities under high-dimensional latent variable models
We present a simple new Monte Carlo algorithm for evaluating probabilities of observations in complex latent variable models, such as Deep Belief Networks. While the method is bas...
Iain Murray, Ruslan Salakhutdinov
DCG
2008
69views more  DCG 2008»
14 years 10 months ago
On Projections of Semi-Algebraic Sets Defined by Few Quadratic Inequalities
Let S Rk+m be a compact semi-algebraic set defined by P1 0, . . . , P 0, where Pi R[X1, . . . , Xk, Y1, . . . , Ym], and deg(Pi) 2, 1 i . Let denote the standard projection f...
Saugata Basu, Thierry Zell
COCO
2005
Springer
128views Algorithms» more  COCO 2005»
15 years 3 months ago
More on Noncommutative Polynomial Identity Testing
We continue the study of noncommutative polynomial identity testing initiated by Raz and Shpilka and present efficient algorithms for the following problems in the noncommutative...
Andrej Bogdanov, Hoeteck Wee
ECCC
2006
70views more  ECCC 2006»
14 years 10 months ago
Finding a Heaviest Triangle is not Harder than Matrix Multiplication
We show that for any > 0, a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n + n2+), where is the ...
Artur Czumaj, Andrzej Lingas