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HYBRID
2003
Springer
13 years 11 months ago
Reachability Analysis of Nonlinear Systems Using Conservative Approximation
Abstract. In this paper we present an approach to approximate reachability computation for nonlinear continuous systems. Rather than studying a complex nonlinear system ˙x = g(x),...
Eugene Asarin, Thao Dang, Antoine Girard
ISSAC
2007
Springer
130views Mathematics» more  ISSAC 2007»
14 years 12 days ago
On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
Algebraic randomization techniques can be applied to hybrid symbolic-numeric algorithms. Here we consider the problem of interpolating a sparse rational function from noisy values...
Erich Kaltofen, Zhengfeng Yang, Lihong Zhi
MMAS
2010
Springer
13 years 1 months ago
Sharp Stability Estimates for the Force-Based Quasicontinuum Approximation of Homogeneous Tensile Deformation
The accuracy of atomistic-to-continuum hybrid methods can be guaranteed only for deformations where the lattice configuration is stable for both the atomistic energy and the hybrid...
Matthew Dobson, Mitchell Luskin, Christoph Ortner
AAAI
1994
13 years 7 months ago
Improving Learning Performance Through Rational Resource Allocation
This article shows how rational analysis can be used to minimize learning cost for a general class of statistical learning problems. We discuss the factors that influence learning...
Jonathan Gratch, Steve A. Chien, Gerald DeJong
EOR
2008
97views more  EOR 2008»
13 years 6 months ago
Decision making with hybrid influence diagrams using mixtures of truncated exponentials
Mixtures of truncated exponentials (MTE) potentials are an alternative to discretization for representing continuous chance variables in influence diagrams. Also, MTE potentials c...
Barry R. Cobb, Prakash P. Shenoy