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MP
2008
101views more  MP 2008»
15 years 1 months ago
Accelerating the cubic regularization of Newton's method on convex problems
In this paper we propose an accelerated version of the cubic regularization of Newton's method [6]. The original version, used for minimizing a convex function with Lipschitz...
Yu. Nesterov
EOR
2008
159views more  EOR 2008»
15 years 1 months ago
A survey on the continuous nonlinear resource allocation problem
Our problem of interest consists of minimizing a separable, convex and differentiable function over a convex set, defined by bounds on the variables and an explicit constraint des...
Michael Patriksson
COMPGEOM
2007
ACM
15 years 5 months ago
Querying approximate shortest paths in anisotropic regions
We present a data structure for answering approximate shortest path queries in a planar subdivision from a fixed source. Let 1 be a real number. Distances in each face of this sub...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
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CCCG
2003
15 years 2 months ago
On the Complexity of Halfspace Volume Queries
Given a polyhedron P in Rd with n vertices, a halfspace volume query asks for the volume of P ∩ H for a given halfspace H. We show that, for d ≥ 3, such queries can require â„...
Erik D. Demaine, Jeff Erickson, Stefan Langerman
ALGORITHMICA
2010
72views more  ALGORITHMICA 2010»
15 years 1 months ago
Largest and Smallest Convex Hulls for Imprecise Points
Assume that a set of imprecise points is given, where each point is specified by a region in which the point may lie. We study the problem of computing the smallest and largest pos...
Maarten Löffler, Marc J. van Kreveld