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» Convex Functions on Discrete Sets
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MP
2010
128views more  MP 2010»
13 years 7 months ago
Perspective reformulations of mixed integer nonlinear programs with indicator variables
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...
Oktay Günlük, Jeff Linderoth
FOCS
1992
IEEE
14 years 29 days ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo
ADCM
2010
129views more  ADCM 2010»
13 years 9 months ago
Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations
Let Rd be a compact convex set of positive measure. In a recent paper, we established a definiteness theory for cubature formulae of order two on . Here we study extremal propert...
Allal Guessab, Gerhard Schmeisser
NIPS
2004
13 years 10 months ago
Nearly Tight Bounds for the Continuum-Armed Bandit Problem
In the multi-armed bandit problem, an online algorithm must choose from a set of strategies in a sequence of n trials so as to minimize the total cost of the chosen strategies. Wh...
Robert D. Kleinberg
FSTTCS
2006
Springer
14 years 16 days ago
Coresets for Discrete Integration and Clustering
Given a set P of n points on the real line and a (potentially innite) family of functions, we investigate the problem of nding a small (weighted) subset S P, such that for any f ...
Sariel Har-Peled