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FSTTCS
2004
Springer
15 years 7 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
JACM
2010
135views more  JACM 2010»
15 years 22 days ago
A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
We present a fully dynamic randomized data structure that can answer queries about the convex hull of a set of n points in three dimensions, where insertions take O(log3 n) expect...
Timothy M. Chan
112
Voted
COMPGEOM
2005
ACM
15 years 4 months ago
Multi-pass geometric algorithms
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
Timothy M. Chan, Eric Y. Chen
MOR
2006
94views more  MOR 2006»
15 years 2 months ago
Conditional Risk Mappings
We introduce an axiomatic definition of a conditional convex risk mapping and we derive its properties. In particular, we prove a representation theorem for conditional risk mappi...
Andrzej Ruszczynski, Alexander Shapiro
CVPR
2010
IEEE
15 years 10 months ago
Efficient Piecewise Learning for Conditional Random Fields
Conditional Random Field models have proved effective for several low-level computer vision problems. Inference in these models involves solving a combinatorial optimization probl...
Karteek Alahari, Phil Torr