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MP
2008
101views more  MP 2008»
14 years 11 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»
14 years 11 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 3 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...
CCCG
2003
15 years 18 days 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»
14 years 11 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