Variational inference with tail-adaptive f-divergence

D Wang, H Liu, Q Liu - Advances in Neural Information …, 2018 - proceedings.neurips.cc
Variational inference with α-divergences has been widely used in modern probabilistic
machine learning. Compared to Kullback-Leibler (KL) divergence, a major advantage of …

Stein variational gradient descent without gradient

J Han, Q Liu - International Conference on Machine …, 2018 - proceedings.mlr.press
Stein variational gradient decent (SVGD) has been shown to be a powerful approximate
inference algorithm for complex distributions. However, the standard SVGD requires …

An n‐dimensional Rosenbrock distribution for Markov chain Monte Carlo testing

F Pagani, M Wiegand… - Scandinavian Journal of …, 2022 - Wiley Online Library
The Rosenbrock function is a ubiquitous benchmark problem in numerical optimization, and
variants have been proposed to test the performance of Markov chain Monte Carlo …

[HTML][HTML] A hybrid particle-stochastic map filter

P Hao, O Karakuş, A Achim - Signal Processing, 2023 - Elsevier
Filtering in nonlinear state-space models is known to be a challenging task due to the
posterior distribution being either intractable or expressed in a complex form. One of the …

Stein variational adaptive importance sampling

J Han, Q Liu - arXiv preprint arXiv:1704.05201, 2017 - arxiv.org
We propose a novel adaptive importance sampling algorithm which incorporates Stein
variational gradient decent algorithm (SVGD) with importance sampling (IS). Our algorithm …

NuZZ: numerical Zig-Zag sampling for general models

F Pagani, A Chevallier, S Power, T House… - arXiv preprint arXiv …, 2020 - arxiv.org
Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics, and as
datasets grow larger and models grow more complex, many popular MCMC algorithms …

[PDF][PDF] Mpart: Monotone parameterization toolkit

M Parno, PB Rubio, D Sharp, M Brennan… - Journal of Open …, 2022 - joss.theoj.org
Summary Measure transport is a rich area in applied mathematics that involves the
construction of deterministic transformations–known as transport maps–between probability …

NuZZ: Numerical Zig-Zag for general models

F Pagani, A Chevallier, S Power, T House… - Statistics and …, 2024 - Springer
Abstract Markov chain Monte Carlo (MCMC) is a key algorithm in computational statistics,
and as datasets grow larger and models grow more complex, many popular MCMC …

An n-dimensional Rosenbrock distribution for MCMC testing

F Pagani, M Wiegand, S Nadarajah - arXiv preprint arXiv:1903.09556, 2019 - arxiv.org
The Rosenbrock function is an ubiquitous benchmark problem for numerical optimisation,
and variants have been proposed to test the performance of Markov Chain Monte Carlo …

Transport map accelerated adaptive importance sampling, and application to inverse problems arising from multiscale stochastic reaction networks

SL Cotter, IG Kevrekidis, PT Russell - SIAM/ASA Journal on Uncertainty …, 2020 - SIAM
In many applications, Bayesian inverse problems can give rise to probability distributions
which contain complexities due to the Hessian varying greatly across parameter space. This …