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A population Monte Carlo scheme with transformed weights and its application to stochastic kinetic models
Population Monte Carlo importance sampling degeneracy of importance weights stochastic kinetic models
2012/9/18
This paper addresses the problem of Monte Carlo approximation of posterior probability distributions. In particular, we have considered a recently proposed technique known as population Monte Carlo (P...
Efficient Point-to-Subspace Query in $\ell^1$ with Application to Robust Face Recognition
point-to-subspace distance nearest subspace search Cauchy projection ace recog-nition subspace modeling
2012/9/18
Motivated by vision tasks such as robust face and object recognition, we consider the follow-ing general problem: given a collection of low-dimensional linear subspaces in a high-dimensional ambient (...
Detecting sparse cone alternatives for Gaussian random fields, with an application to fMRI
random elds Euler characteristic kinematic formulae volumes of tubes expansion order-restricted inference multivari-ate one-sided hypotheses non-negative least squares.
2012/9/19
Our problem is to nd a good approximation to the P-value of the maximum of a random eld of test statistics for a cone alternative at each point in a sample of Gaussian random elds. These test stati...
Adaptive Markov Chain Monte Carlo for Auxiliary Variable Method and Its Application to Parallel Tempering
Adaptive Markov Chain Monte Carlo Auxiliary Variable Method Parallel Tempering Conver-gence
2012/9/19
Auxiliary variable methods such as the Parallel Tempering and the cluster Monte Carlo methods generate samples that follow a target distri-bution by using proposal and auxiliary distributions.In sampl...
Laplace deconvolution and its application to Dynamic Contrast Enhanced imaging
Laplace deconvolution complexity penalty Dynamic Contrast Enhanced imaging
2012/9/19
In the present paper we consider the problem of Laplace deconvolution with noisy discrete observations. The study is motivated by Dynamic Contrast Enhanced imaging using a bolus of contrast agent, a p...
Blending Bayesian and frequentist methods according to the precision of prior information with an application to hypothesis testing
blended inference confidence distribution confidence posterior
2011/7/19
The following zero-sum game between nature and a statistician blends Bayesian methods with frequentist methods such as p-values and confidence intervals. Nature chooses a posterior distribution consis...
Application of Bayesian model inadequacy criterion for multiple data sets to radial velocity models of exoplanet systems
Methods Statistical – Techniques Radial velocities – Stars Individual: GJ 581 HD 217107 υ Andromedae
2011/7/7
We present a simple mathematical criterion for determining whether a given statistical model does not describe several independent sets of measurements, or data modes, adequately. We derive this crite...
Distribution fitting 12. Sampling distribution of compounds abundance from plant species measured by instrumentation. Application to plants metabolism classification
chemical compounds abundances lognormal distribution
2011/7/6
A series of ten plant species belonging to Magnoliopsida - Dicotyledons class were analyzed in terms of chemical compounds distribution of abundance, starting from the assumption that these distributi...
On the geometry of discrete exponential families with application to exponential random graph models
Exponential families normal cone maximum likelihood estimates exponential random graphs
2009/9/16
There has been an explosion of interest in statistical models for analyzing network data, and considerable interest in the class of exponential random graph (ERG) models, especially in connection with...