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FOCS
2006
IEEE
14 years 4 months ago
Dispersion of Mass and the Complexity of Randomized Geometric Algorithms
How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...
Luis Rademacher, Santosh Vempala
JMIV
2006
185views more  JMIV 2006»
13 years 10 months ago
Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements
In medical image analysis and high level computer vision, there is an intensive use of geometric features like orientations, lines, and geometric transformations ranging from simp...
Xavier Pennec
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
14 years 3 months ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
COMPGEOM
1998
ACM
14 years 3 months ago
Geometric Applications of a Randomized Optimization Technique
Abstract. We propose a simple, general, randomized technique to reduce certain geometric optimization problems to their corresponding decision problems. These reductions increase t...
Timothy M. Chan
COMPGEOM
1997
ACM
14 years 3 months ago
Time-Series Similarity Problems and Well-Separated Geometric Sets
Given a pair of nonidentical complex objects, de ning and determining how similar they are to each other is a nontrivial problem. In data mining applications, one frequently nee...
Béla Bollobás, Gautam Das, Dimitrios...