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Asymptotic calculation of discrete non-linear wave interactions
Discrete the dispersion equation klein Gordon
2014/12/25
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [N.S. Manton, Nucl. Phys. B 150 (1979) 397]. We also...
Non-linear dimensionality reduction: Riemannian metric estimation and the problem of geometric discovery
Non-linear dimensionality reduction Riemannian metric estimation the problem geometric discovery
2013/6/14
In recent years, manifold learning has become increasingly popular as a tool for performing non-linear dimensionality reduction. This has led to the development of numerous algorithms of varying degre...
Inverting Non-Linear Dimensionality Reduction with Scale-Free Radial Basis Interpolation
nonlinear dimensionality reduction graph Laplacian radial basis function interpolation Nyströ m method
2013/6/14
A numerical method is proposed to approximate the inverse of a general bi-Lipschitz nonlinear dimensionality reduction mapping, where the forward and consequently the inverse mappings are only explici...
MCMC for non-linear state space models using ensembles of latent sequences
MCMC non-linear state space models ensembles latent sequences
2013/6/13
Non-linear state space models are a widely-used class of models for biological, economic, and physical processes. Fitting these models to observed data is a difficult inference problem that has no str...
Test for differences between M-estimates of non-linear regression model
M-estimates non-linear regression model
2009/9/23
Test for differences between M-estimates of non-linear regression model。
Application of Girsanov Theorem to Particle Filtering of Discretely Observed Continuous-Time Non-Linear Systems
Girsanov theorem particle ltering continuous-discrete ltering
2009/9/22
This article considers the application of particle ltering to continuous-
discrete optimal ltering problems, where the system model is a stochastic dier-
ential equation, and noisy measurements of t...
Stochastic evolutions driven by non-linear white noise
Stochastic evolutions non-linear white noise
2009/9/21
We prove the existence and uniqueness theorem for
stochastic differential equation8 with bounded coefficients driven by
the renormalized square of white noise. These equations are interpreted
as se...
A Non-Linear Eroder in Presence of One-Sided Noise
Non-Linear Eroder Presence One-Sided Noise
2009/9/17
A Non-Linear Eroder in Presence of One-Sided Noise。
Hitting probabilities for systems of non-linear stochastic heat equations with additive noise
Hitting probabilities systems of non-linear stochastic heat equations space-time white noise capacity Hausdor measure
2009/6/12
We consider a system of d coupled non-linear stochastic heat equations in spatial dimension 1 driven by d-dimensional additive space-time whitenoise. We establish upper and lower bounds on hitting pro...
Application of Girsanov Theorem to Particle Filtering of Discretely Observed Continuous-Time Non-Linear Systems
Girsanov theorem particle filtering continuous-discrete filtering
2010/4/29
This article considers the application of particle filtering to continuousdiscrete
optimal filtering problems, where the system model is a stochastic differential
equation, and noisy measurements of...
Non-linear strategies in a linear quadratic differential game
differential game non-linear strategies catching up optimal Folk Theorem
2010/11/5
We study non-linear Markov perfect equilibria in a two agent linear quadratic
differential game. In contrast to the literature owing to Tsutsui and Mino
(1990), we do not associate endogenous subset...