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PAC-Bayesian Estimation and Prediction in Sparse Additive Models
Additive models sparsity regression estimation PAC-Bayesian bounds oracle inequality MCMC stochastic search.
2012/9/17
The present paper is about estimation and prediction in high-dimensional additive models under a sparsity assumption (p nparadigm).A PAC-Bayesian strategy is investigated, delivering oracle inequaliti...
Bayesian estimation of the basic reproduction number in stochastic epidemic models
Basic reproduction number Bayesian inference Epidemics Linear programming Stochastic epidemic models
2009/9/22
Our main focus is on the basic reproduction number, a quantity
of central importance in mathematical epidemic theory, whose value essentially
dictates whether or not a large epidemic outbreak can oc...
Bayesian Estimation of Soft-Core Potential Models for Spatial Point Patterns
Bayesian estimation L-statistics MCMC methods repulsive interaction Soft-Core models
2009/3/6
For a spatial pattern of points interacting with a repulsive potential in a given finite region of the plane, Bayesian estimation of parametric interaction potential functions between individuals (the...
Inferring Markov Chains：Bayesian Estimation，Model Comparison，Entropy Rate，and Out-of-class Modeling
Markov Chains Bayesian Estimation Model Comparison Entropy Rate Out-of-class Modeling
2010/4/27
Markov chains are a natural and well understood tool for describing one-dimensional patterns in
time or space. We show how to infer k-th order Markov chains, for arbitrary k, from finite data
by app...