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.
1 code implementation • 28 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
no code implementations • 31 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.
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
no code implementations • 5 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.
no code implementations • 23 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.
1 code implementation • 2 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
1 code implementation • 1 Sep 2017 • Jeremy Heng, Pierre E. Jacob
We propose a methodology to parallelize Hamiltonian Monte Carlo estimators.
Computation
4 code implementations • 11 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
1 code implementation • 8 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