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13 years 3 months ago
Classification with guaranteed probability of error
We introduce a general-purpose learning machine that we call the Guaranteed Error Machine, or GEM, and two learning algorithms, a real GEM algorithm and an ideal GEM algorithm. Th...
Marco C. Campi
MMAS
2010
Springer
13 years 3 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
13 years 3 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
MOC
2010
13 years 3 months ago
The structure of balanced multivariate biorthogonal multiwavelets and dual multiframelets
Abstract. Multiwavelets and multiframelets are of interest in several applications such as numerical algorithms and signal processing, due to their desirable properties such as hig...
Bin Han
MOC
2010
13 years 3 months ago
Portrait of the four regular super-exponentials to base sqrt(2)
We introduce the concept of regular super-functions at a fixed point. It is derived from the concept of regular iteration. A super-function F of h is a solution of F(z+1)=h(F(z)). ...
Dmitrii Kouznetsov, Henryk Trappmann
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