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CORR
2008
Springer
107views Education» more  CORR 2008»
14 years 9 months ago
Randomized Methods for Linear Constraints: Convergence Rates and Conditioning
We study randomized variants of two classical algorithms: coordinate descent for systems of linear equations and iterated projections for systems of linear inequalities. Expanding...
D. Leventhal, A. S. Lewis
FSTTCS
2004
Springer
15 years 2 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
ACCV
2007
Springer
14 years 11 months ago
A Convex Programming Approach to the Trace Quotient Problem
Abstract. The trace quotient problem arises in many applications in pattern classification and computer vision, e.g., manifold learning, low-dimension embedding, etc. The task is ...
Chunhua Shen, Hongdong Li, Michael J. Brooks
COMPGEOM
2004
ACM
15 years 3 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
COMPGEOM
2004
ACM
15 years 3 months ago
Inner and outer rounding of set operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementa...
Olivier Devillers, Philippe Guigue