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MMAS
2011
Springer
15 years 1 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
MONET
2011
15 years 1 months ago
Jamming in Wireless Networks Under Uncertainty
— The problem of jamming plays an important role in ensuring the quality and security of wireless communications, especially at this moment when wireless networks are quickly bec...
Eitan Altman, Konstantin Avrachenkov, Andrey Garna...
MP
2011
15 years 1 months ago
Statistical ranking and combinatorial Hodge theory
We propose a number of techniques for obtaining a global ranking from data that may be incomplete and imbalanced — characteristics that are almost universal to modern datasets co...
Xiaoye Jiang, Lek-Heng Lim, Yuan Yao, Yinyu Ye
MMAS
2010
Springer
15 years 1 months ago
An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
The mean first passage time (MFPT) is calculated for a Brownian particle in a bounded two-dimensional domain that contains N small nonoverlapping absorbing windows on its boundary....
S. Pillay, Michael J. Ward, A. Peirce, Theodore Ko...
MMAS
2010
Springer
15 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
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