Search Results for author: Pierre E. Jacob

Found 10 papers, 7 papers with code

Fast Approximation of the Sliced-Wasserstein Distance Using Concentration of Random Projections

2 code implementations NeurIPS 2021 Kimia Nadjahi, Alain Durmus, Pierre E. Jacob, Roland Badeau, Umut Şimşekli

The Sliced-Wasserstein distance (SW) is being increasingly used in machine learning applications as an alternative to the Wasserstein distance and offers significant computational and statistical benefits.

Sequential Monte Carlo algorithms for agent-based models of disease transmission

1 code implementation28 Jan 2021 Nianqiao Ju, Jeremy Heng, Pierre E. Jacob

Agent-based models of disease transmission involve stochastic rules that specify how a number of individuals would infect one another, recover or be removed from the population.

Computation Cellular Automata and Lattice Gases Populations and Evolution Methodology

Schrödinger Bridge Samplers

no code implementations31 Dec 2019 Espen Bernton, Jeremy Heng, Arnaud Doucet, Pierre E. Jacob

This is achieved by iteratively modifying the transition kernels of the reference Markov chain to obtain a process whose marginal distribution at time $T$ becomes closer to $\pi_T = \pi$, via regression-based approximations of the corresponding iterative proportional fitting recursion.

Estimating Convergence of Markov chains with L-Lag Couplings

2 code implementations NeurIPS 2019 Niloy Biswas, Pierre E. Jacob

Markov chain Monte Carlo (MCMC) methods generate samples that are asymptotically distributed from a target distribution of interest as the number of iterations goes to infinity.

Computation Methodology

Unbiased Smoothing using Particle Independent Metropolis-Hastings

no code implementations5 Feb 2019 Lawrence Middleton, George Deligiannidis, Arnaud Doucet, Pierre E. Jacob

We consider the approximation of expectations with respect to the distribution of a latent Markov process given noisy measurements.

Clustering Time Series with Nonlinear Dynamics: A Bayesian Non-Parametric and Particle-Based Approach

no code implementations23 Oct 2018 Alexander Lin, Yingzhuo Zhang, Jeremy Heng, Stephen A. Allsop, Kay M. Tye, Pierre E. Jacob, Demba Ba

We propose a general statistical framework for clustering multiple time series that exhibit nonlinear dynamics into an a-priori-unknown number of sub-groups.

Bayesian Inference Clustering +2

Unbiased estimation of log normalizing constants with applications to Bayesian cross-validation

1 code implementation2 Oct 2018 Maxime Rischard, Pierre E. Jacob, Natesh Pillai

Posterior distributions often feature intractable normalizing constants, called marginal likelihoods or evidence, that are useful for model comparison via Bayes factors.

Computation Methodology

Unbiased Hamiltonian Monte Carlo with couplings

1 code implementation1 Sep 2017 Jeremy Heng, Pierre E. Jacob

We propose a methodology to parallelize Hamiltonian Monte Carlo estimators.

Computation

Unbiased Markov chain Monte Carlo with couplings

4 code implementations11 Aug 2017 Pierre E. Jacob, John O'Leary, Yves F. Atchadé

Markov chain Monte Carlo (MCMC) methods provide consistent approximations of integrals as the number of iterations goes to infinity.

Methodology Computation

Smoothing with Couplings of Conditional Particle Filters

1 code implementation8 Jan 2017 Pierre E. Jacob, Fredrik Lindsten, Thomas B. Schön

The method combines two recent breakthroughs: the first is a generic debiasing technique for Markov chains due to Rhee and Glynn, and the second is the introduction of a uniformly ergodic Markov chain for smoothing, the conditional particle filter of Andrieu, Doucet and Holenstein.

Methodology Computation

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