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Finite mixtures are a broad class of models useful in scenarios where observed data is generated by multiple distinct processes but without explicit information about the responsible process for each data point. Estimating Bayesian mixture…

Machine Learning · Statistics 2026-03-17 Šimon Kucharský , Paul Christian Bürkner

In recent work it is shown that importance sampling can be avoided in the particle filter through an innovation structure inspired by traditional nonlinear filtering combined with Mean-Field Game formalisms. The resulting feedback particle…

Numerical Analysis · Mathematics 2016-11-18 Tao Yang , Richard S. Laugesen , Prashant G. Mehta , Sean P. Meyn

This paper proposes a novel global optimization algorithm, Particle Filter-Based Optimization (PFO), designed for a class of stochastic optimization problems in which the objective function lacks an analytical form and is subject to noisy…

Optimization and Control · Mathematics 2025-06-23 Mostafa Eslami , Maryam Babazadeh

We propose a new sampling-based approach for approximate inference in filtering problems. Instead of approximating conditional distributions with a finite set of states, as done in particle filters, our approach approximates the…

Machine Learning · Computer Science 2020-03-03 Xuan Su , Wee Sun Lee , Zhen Zhang

We propose Amortized Posterior Sampling (APS), a novel variational inference approach for efficient posterior sampling in inverse problems. Our method trains a conditional flow model to minimize the divergence between the variational…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Abbas Mammadov , Hyungjin Chung , Jong Chul Ye

Particle filtering is a standard Monte-Carlo approach for a wide range of sequential inference tasks. The key component of a particle filter is a set of particles with importance weights that serve as a proxy of the true posterior…

Machine Learning · Computer Science 2022-09-02 Ruizhi Deng , Greg Mori , Andreas M. Lehrmann

State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

The ensemble Gaussian mixture filter combines the simplicity and power of Gaussian mixture models with the provable convergence and power of particle filters. The quality of the ensemble Gaussian mixture filter heavily depends on the choice…

Optimization and Control · Mathematics 2022-12-21 Andrey A Popov , Renato Zanetti

Particle filters (also called sequential Monte Carlo methods) are widely used for state and parameter estimation problems in the context of nonlinear evolution equations. The recently proposed ensemble transform particle filter (ETPF)…

Numerical Analysis · Mathematics 2017-04-11 Walter Acevedo , Jana de Wiljes , Sebastian Reich

Recently developed particle flow algorithms provide an alternative to importance sampling for drawing particles from a posterior distribution, and a number of particle filters based on this principle have been proposed. Samples are drawn…

Computation · Statistics 2014-12-01 Pete Bunch , Simon Godsill

Several Bayesian estimation based heuristics have been developed to perform quantum state tomography (QST). Their ability to quantify uncertainties using region estimators and include a priori knowledge of the experimentalists makes this…

Quantum Physics · Physics 2021-09-16 Syed Muhammad Kazim , Ahmad Farooq , Junaid ur Rehman , Hyundong Shin

Semiconductor device models are essential to understand the charge transport in thin film transistors (TFTs). Using these TFT models to draw inference involves estimating parameters used to fit to the experimental data. These experimental…

Machine Learning · Computer Science 2021-11-29 Neel Chatterjee , Somya Sharma , Sarah Swisher , Snigdhansu Chatterjee

Sampling from the full posterior distribution of high-dimensional non-linear, non-Gaussian latent dynamical models presents significant computational challenges. While Particle Gibbs (also known as conditional sequential Monte Carlo) is…

Computation · Statistics 2025-03-05 Adrien Corenflos , Simo Särkkä

"Particle methods" are sequential Monte Carlo algorithms, typically involving importance sampling, that are used to estimate and sample from joint and marginal densities from a collection of a, presumably increasing, number of random…

Computation · Statistics 2014-07-17 J. N. Corcoran , D. Jennings

We study sampling problems associated with potentials that lack smoothness. The potentials can be either convex or non-convex. Departing from the standard smooth setting, the potentials are only assumed to be weakly smooth or non-smooth, or…

Machine Learning · Computer Science 2023-07-04 Jiaming Liang , Yongxin Chen

This paper is concerned with dynamic system state estimation based on a series of noisy measurement with the presence of outliers. An incremental learning assisted particle filtering (ILAPF) method is presented, which can learn the value…

Methodology · Statistics 2018-02-02 Bin Liu

A mixture of factor analyzers is a semi-parametric density estimator that generalizes the well-known mixtures of Gaussians model by allowing each Gaussian in the mixture to be represented in a different lower-dimensional manifold. This…

Machine Learning · Statistics 2015-10-23 Heysem Kaya , Albert Ali Salah

Recent vision transformers, large-kernel CNNs and MLPs have attained remarkable successes in broad vision tasks thanks to their effective information fusion in the global scope. However, their efficient deployments, especially on mobile…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Zhipeng Huang , Zhizheng Zhang , Cuiling Lan , Zheng-Jun Zha , Yan Lu , Baining Guo

We introduce a new sequential methodology to calibrate the fixed parameters and track the stochastic dynamical variables of a state-space system. The proposed method is based on the nested hybrid filtering (NHF) framework of [1], that…

Computation · Statistics 2021-03-24 Sara Pérez-Vieites , Joaquín Míguez

The robust estimation of dynamically changing features, such as the position of prey, is one of the hallmarks of perception. On an abstract, algorithmic level, nonlinear Bayesian filtering, i.e. the estimation of temporally changing signals…

Neurons and Cognition · Quantitative Biology 2022-01-05 Anna Kutschireiter , Simone Carlo Surace , Henning Sprekeler , Jean-Pascal Pfister