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» Asymptotic properties of mixture-of-experts models
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JMLR
2012
11 years 8 months ago
Factorized Asymptotic Bayesian Inference for Mixture Modeling
This paper proposes a novel Bayesian approximation inference method for mixture modeling. Our key idea is to factorize marginal log-likelihood using a variational distribution ove...
Ryohei Fujimaki, Satoshi Morinaga
SIAMMA
2010
122views more  SIAMMA 2010»
13 years 28 days ago
Asymptotic Flocking Dynamics for the Kinetic Cucker-Smale Model
In this paper, we analyse the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [16], which describes the collective behavior of an...
J. A. Carrillo, M. Fornasier, J. Rosado, G. Toscan...
DCG
2008
110views more  DCG 2008»
13 years 6 months ago
An Inscribing Model for Random Polytopes
For convex bodies K with C2 boundary in Rd, we explore random polytopes with vertices chosen along the boundary of K. In particular, we determine asymptotic properties of the volum...
Ross M. Richardson, Van H. Vu, Lei Wu
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 6 months ago
Asymptotic Learning Curve and Renormalizable Condition in Statistical Learning Theory
Bayes statistics and statistical physics have the common mathematical structure, where the log likelihood function corresponds to the random Hamiltonian. Recently, it was discovere...
Sumio Watanabe
SIAMSC
2008
116views more  SIAMSC 2008»
13 years 6 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens