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» Approximating Center Points with Iterated Radon Points
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91
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COMPGEOM
1993
ACM
15 years 2 months ago
Approximating Center Points with Iterated Radon Points
We give a practical and provably good Monte Carlo algorithm for approximating center points. Let P be a set of n points in IRd . A point c ∈ IRd is a β-center point of P if eve...
Kenneth L. Clarkson, David Eppstein, Gary L. Mille...
70
Voted
COMPGEOM
2009
ACM
15 years 4 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy
74
Voted
COMGEO
2010
ACM
14 years 10 months ago
Approximate centerpoints with proofs
We present the IteratedTverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S Rd with running time subexponential in d. The alg...
Gary L. Miller, Donald Sheehy
92
Voted
SIAMJO
2000
88views more  SIAMJO 2000»
14 years 10 months ago
A Feasible BFGS Interior Point Algorithm for Solving Convex Minimization Problems
Abstract. We propose a BFGS primal-dual interior point method for minimizing a convex function on a convex set defined by equality and inequality constraints. The algorithm generat...
Paul Armand, Jean Charles Gilbert, Sophie Jan-J&ea...
80
Voted
IJCAI
2007
14 years 11 months ago
Improving Anytime Point-Based Value Iteration Using Principled Point Selections
Planning in partially-observable dynamical systems (such as POMDPs and PSRs) is a computationally challenging task. Popular approximation techniques that have proved successful ar...
Michael R. James, Michael E. Samples, Dmitri A. Do...