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Bayesian Non-negative Matrix Factorization (NMF) is a promising approach for understanding uncertainty and structure in matrix data. However, a large volume of applied work optimizes traditional non-Bayesian NMF objectives that fail to…

机器学习 · 统计学 2018-03-19 M. Arjumand Masood , Finale Doshi-Velez

Being the most classical generative model for serial data, state-space models (SSM) are fundamental in AI and statistical machine learning. In SSM, any form of parameter learning or latent state inference typically involves the computation…

机器学习 · 统计学 2024-07-04 Alessandro Mastrototaro , Jimmy Olsson

We introduce Variational State-Space Filters (VSSF), a new method for unsupervised learning, identification, and filtering of latent Markov state space models from raw pixels. We present a theoretically sound framework for latent state…

机器学习 · 计算机科学 2022-03-22 Daniel Pfrommer , Nikolai Matni

In modern days, the ability to carry out computations in parallel is key to efficient implementations of computationally intensive algorithms. This paper investigates the applicability of the previously proposed Augmented Island Resampling…

统计计算 · 统计学 2023-12-12 Kari Heine

We consider the problem of high-dimensional filtering of state-space models (SSMs) at discrete times. This problem is particularly challenging as analytical solutions are typically not available and many numerical approximation methods can…

统计计算 · 统计学 2022-01-13 Hamza Ruzayqat , Aimad Er-Raiy , Alexandros Beskos , Dan Crisan , Ajay Jasra , Nikolas Kantas

Sequential Monte Carlo (SMC), or particle filtering, is a popular class of methods for sampling from an intractable target distribution using a sequence of simpler intermediate distributions. Like other importance sampling-based methods,…

机器学习 · 计算机科学 2015-11-18 Shixiang Gu , Zoubin Ghahramani , Richard E. Turner

Particle Filtering (PF) methods are an established class of procedures for performing inference in non-linear state-space models. Resampling is a key ingredient of PF, necessary to obtain low variance likelihood and states estimates.…

机器学习 · 统计学 2021-07-01 Adrien Corenflos , James Thornton , George Deligiannidis , Arnaud Doucet

The performance of a particle filter (PF) in nonlinear and non-Gaussian environments is often affected by particle degeneracy and impoverishment problems. In this paper, these two problems are re-assessed using the concepts of importance…

应用统计 · 统计学 2019-10-16 Xingzi Qiang , Yanbo Zhu , Rui Xue

In this article we consider recursive approximations of the smoothing distribution associated to partially observed stochastic differential equations (SDEs), which are observed discretely in time. Such models appear in a wide variety of…

统计方法学 · 统计学 2018-05-15 Jeremie Houssineau , Ajay Jasra , Sumeetpal S. Singh

This study proposes a centimeter-accurate positioning method that utilizes a Rao-Blackwellized particle filter (RBPF) without requiring integer ambiguity resolution in global navigation satellite system (GNSS) carrier phase measurements.…

机器人学 · 计算机科学 2025-06-16 Daiki Niimi , An Fujino , Taro Suzuki , Junichi Meguro

This paper presents a simulation-based framework for sequential inference from partially and discretely observed point process (PP's) models with static parameters. Taking on a Bayesian perspective for the static parameters, we build upon…

统计方法学 · 统计学 2012-01-24 James S. Martin , Ajay Jasra , Emma McCoy

Implicit particle filtering is a sequential Monte Carlo method for data assim- ilation, designed to keep the number of particles manageable by focussing attention on regions of large probability. These regions are found by min- imizing, for…

数值分析 · 数学 2015-05-30 Matthias Morzfeld , Alexandre J. Chorin

Inferring the eventual goal of a mobile agent from noisy observations of its trajectory is a fundamental estimation problem. We initiate the study of such intent inference using a variant of a Rao-Blackwellized Particle Filter (RBPF),…

机器学习 · 计算机科学 2026-05-19 Yixuan Wang , Dan P. Guralnik , Warren E. Dixon

Many probabilistic models of interest in scientific computing and machine learning have expensive, black-box likelihoods that prevent the application of standard techniques for Bayesian inference, such as MCMC, which would require access to…

机器学习 · 统计学 2018-11-30 Luigi Acerbi

The implicit particle filter is a sequential Monte Carlo method for data assimilation that guides the particles to the high-probability regions via a sequence of steps that includes minimizations. We present a new and more general…

数据分析、统计与概率 · 物理学 2017-02-01 Ethan Atkins , Matthias Morzfeld , Alexandre J. Chorin

Variational inference (VI) combined with Bayesian nonlinear filtering produces state-of-the-art results for latent time-series modeling. A body of recent work has focused on sequential Monte Carlo (SMC) and its variants, e.g., forward…

机器学习 · 统计学 2021-11-10 Tsuyoshi Ishizone , Tomoyuki Higuchi , Kazuyuki Nakamura

Neural-network quantum states (NQS) offer a powerful and expressive ansatz for representing quantum many-body wave functions. However, their training via Variational Monte Carlo (VMC) methods remains challenging. It is well known that some…

量子物理 · 物理学 2025-07-09 Antoine Misery , Luca Gravina , Alessandro Santini , Filippo Vicentini

Sequential Monte Carlo algorithms, or Particle Filters, are Bayesian filtering algorithms which propagate in time a discrete and random approximation of the a posteriori distribution of interest. Such algorithms are based on Importance…

统计计算 · 统计学 2017-10-11 Roland Lamberti , Yohan Petetin , François Desbouvries , François Septier

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

机器学习 · 计算机科学 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

Most applications of Bayesian Inference for parameter estimation and model selection in astrophysics involve the use of Monte Carlo techniques such as Markov Chain Monte Carlo (MCMC) and nested sampling. However, these techniques are time…

天体物理仪器与方法 · 物理学 2022-01-26 Geetakrishnasai Gunapati , Anirudh Jain , P. K. Srijith , Shantanu Desai