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FSTTCS
2004
Springer
14 years 26 days 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
SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 10 months ago
Deterministic construction of an approximate M-ellipsoid and its applications to derandomizing lattice algorithms
We give a deterministic O(log n)n -time and space algorithm for the Shortest Vector Problem (SVP) of a lattice under any norm, improving on the previous best deterministic nO(n) -...
Daniel Dadush, Santosh Vempala
ISAAC
2003
Springer
129views Algorithms» more  ISAAC 2003»
14 years 20 days ago
Polynomial Time Approximate Sampler for Discretized Dirichlet Distribution
Abstract. In this paper, we propose a Markov chain for sampling a random vector distributed according to a discretized Dirichlet distribution. We show that our Markov chain is rapi...
Tomomi Matsui, Mitsuo Motoki, Naoyuki Kamatani
APPROX
2008
Springer
83views Algorithms» more  APPROX 2008»
13 years 9 months ago
Sampling Hypersurfaces through Diffusion
Abstract. We are interested in efficient algorithms for generating random samples from geometric objects such as Riemannian manifolds. As a step in this direction, we consider the ...
Hariharan Narayanan, Partha Niyogi
APPROX
2010
Springer
188views Algorithms» more  APPROX 2010»
13 years 9 months ago
Approximation Algorithms for Reliable Stochastic Combinatorial Optimization
We consider optimization problems that can be formulated as minimizing the cost of a feasible solution wT x over an arbitrary combinatorial feasible set F {0, 1}n . For these pro...
Evdokia Nikolova