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MMAS
2011
Springer
13 years 2 months ago
Scalable Bayesian Reduced-Order Models for Simulating High-Dimensional Multiscale Dynamical Systems
While existing mathematical descriptions can accurately account for phenomena at microscopic scales (e.g. molecular dynamics), these are often high-dimensional, stochastic and thei...
Phaedon-Stelios Koutsourelakis, Elias Bilionis
TOMACS
2010
79views more  TOMACS 2010»
13 years 2 months ago
A stochastic approximation method with max-norm projections and its applications to the Q-learning algorithm
In this paper, we develop a stochastic approximation method to solve a monotone estimation problem and use this method to enhance the empirical performance of the Q-learning algor...
Sumit Kunnumkal, Huseyin Topaloglu
JNS
2007
85views more  JNS 2007»
13 years 7 months ago
Long-Time Accuracy for Approximate Slow Manifolds in a Finite-Dimensional Model of Balance
We study the slow singular limit for planar anharmonic oscillatory motion of a charged particle under the influence of a perpendicular magnetic field when the mass of the particl...
G. Gottwald, M. Oliver, N. Tecu
ICCAD
2007
IEEE
173views Hardware» more  ICCAD 2007»
14 years 4 months ago
Bounding L2 gain system error generated by approximations of the nonlinear vector field
Abstract— Typical nonlinear model order reduction approaches need to address two issues: reducing the order of the model, and approximating the vector field. In this paper we fo...
Kin Cheong Sou, Alexandre Megretski, Luca Daniel
SIAMNUM
2010
106views more  SIAMNUM 2010»
13 years 2 months ago
Approximation of the Buckling Problem for Reissner-Mindlin Plates
This paper deals with the approximation of the buckling coefficients and modes of a clamped plate modeled by the Reissner-Mindlin equations. These coefficients are related with the...
Carlo Lovadina, David Mora, Rodolfo Rodrígu...