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ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
13 years 9 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington
ICML
2003
IEEE
14 years 6 months ago
The Pre-Image Problem in Kernel Methods
In this paper, we address the problem of finding the pre-image of a feature vector in the feature space induced by a kernel. This is of central importance in some kernel applicatio...
James T. Kwok, Ivor W. Tsang

Publication
289views
12 years 3 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
TCAD
2008
107views more  TCAD 2008»
13 years 5 months ago
Power Grid Analysis and Optimization Using Algebraic Multigrid
Abstract--This paper presents a class of power grid analysis and optimization techniques, all of which are based on the algebraic-multigrid (AMG) method. First, a new AMG-based red...
Cheng Zhuo, Jiang Hu, Min Zhao, Kangsheng Chen
SIAMJO
2008
93views more  SIAMJO 2008»
13 years 5 months ago
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint