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Black-box variational inference (BBVI) scales poorly to high-dimensional problems when it is used to estimate a multivariate Gaussian approximation with a full covariance matrix. In this paper, we extend the batch-and-match (BaM) framework…

机器学习 · 统计学 2025-04-03 Chirag Modi , Diana Cai , Lawrence K. Saul

This paper considers parameter estimation for nonlinear state-space models, which is an important but challenging problem. We address this challenge by employing a variational inference (VI) approach, which is a principled method that has…

机器学习 · 统计学 2022-09-15 Jarrad Courts , Adrian Wills , Thomas Schön , Brett Ninness

Ensembles of deep neural networks have achieved great success recently, but they do not offer a proper Bayesian justification. Moreover, while they allow for averaging of predictions over several hypotheses, they do not provide any…

机器学习 · 计算机科学 2021-06-23 Francesco D'Angelo , Vincent Fortuin , Florian Wenzel

Agent based models (ABMs) are a useful tool for modeling spatio-temporal population dynamics, where many details can be included in the model description. Their computational cost though is very high and for stochastic ABMs a lot of…

Moment-based estimation is a theoretically attractive approach to parametric inference, especially when likelihood-based estimation is unavailable, misspecified, or computationally inconvenient. However, the moment equations involve sample…

统计理论 · 数学 2026-05-28 Liu Zhang , Amit Singer

Approximate inference in probability models is a fundamental task in machine learning. Approximate inference provides powerful tools to Bayesian reasoning, decision making, and Bayesian deep learning. The main goal is to estimate the…

机器学习 · 计算机科学 2020-03-10 Jun Han

Assessing the practical identifiability of epidemic models is essential for determining whether parameters can be meaningfully estimated from observed data. Monte Carlo (MC) methods provide an accessible and intuitive framework; however,…

统计方法学 · 统计学 2025-10-01 Chiara Mattamira , Olivia Prosper Feldman

Balancing computational efficiency with robust predictive performance is crucial in supervised learning, especially for critical applications. Standard deep learning models, while accurate and scalable, often lack probabilistic features…

机器学习 · 计算机科学 2025-02-11 Conor Heins , Hao Wu , Dimitrije Markovic , Alexander Tschantz , Jeff Beck , Christopher Buckley

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2019-11-26 Linda S. L. Tan , Nial Friel

Model predictive control (MPC) schemes have a proven track record for delivering aggressive and robust performance in many challenging control tasks, coping with nonlinear system dynamics, constraints, and observational noise. Despite their…

机器人学 · 计算机科学 2024-01-24 Lucas Barcelos , Alexander Lambert , Rafael Oliveira , Paulo Borges , Byron Boots , Fabio Ramos

Approximate Bayesian inference for models with computationally expensive, black-box likelihoods poses a significant challenge, especially when the posterior distribution is complex. Many inference methods struggle to explore the parameter…

机器学习 · 统计学 2025-11-11 Francesco Silvestrin , Chengkun Li , Luigi Acerbi

Stochastic lattice models (sLMs) are computational tools for simulating spatiotemporal dynamics in physics, computational biology, chemistry, ecology, and other fields. Despite their widespread use, it is challenging to fit sLMs to data, as…

元胞自动机与格子气 · 物理学 2023-10-13 Jan Schering , Sander Keemink , Johannes Textor

Modern epidemiological analytics increasingly use machine learning models that offer strong prediction but often lack calibrated uncertainty. Bayesian methods provide principled uncertainty quantification, yet are viewed as difficult to…

机器学习 · 统计学 2025-11-18 Debashis Chatterjee

Stochastic variational inference (SVI) plays a key role in Bayesian deep learning. Recently various divergences have been proposed to design the surrogate loss for variational inference. We present a simple upper bound of the evidence as…

机器学习 · 计算机科学 2019-12-03 Chunlin Ji , Haige Shen

A new gradient-based particle sampling method, MPM-ParVI, based on material point method (MPM), is proposed for variational inference. MPM-ParVI simulates the deformation of a deformable body (e.g. a solid or fluid) under external effects…

人工智能 · 计算机科学 2024-07-31 Yongchao Huang

The spatial error model (SEM) is a type of simultaneous autoregressive (SAR) model for analysing spatially correlated data. Markov chain Monte Carlo (MCMC) is one of the most widely used Bayesian methods for estimating SEM, but it has…

统计方法学 · 统计学 2024-06-14 Anjana Wijayawardhana , David Gunawan , Thomas Suesse

Automatic Differentiation Variational Inference (ADVI) is efficient in learning probabilistic models. Classic ADVI relies on the parametric approach to approximate the posterior. In this paper, we develop a spline-based nonparametric…

机器学习 · 统计学 2024-03-12 Yuda Shao , Shan Yu , Tianshu Feng

In this paper we consider the simulation-based Bayesian analysis of stochastic volatility in mean (SVM) models. Extending the highly efficient Markov chain Monte Carlo mixture sampler for the SV model proposed in Kim et al. (1998) and Omori…

计量经济学 · 经济学 2024-11-21 Daichi Hiraki , Siddhartha Chib , Yasuhiro Omori

In this paper, we propose a novel reinforcement- learning algorithm consisting in a stochastic variance-reduced version of policy gradient for solving Markov Decision Processes (MDPs). Stochastic variance-reduced gradient (SVRG) methods…

机器学习 · 计算机科学 2018-06-15 Matteo Papini , Damiano Binaghi , Giuseppe Canonaco , Matteo Pirotta , Marcello Restelli

Bayesian inference for doubly intractable distributions is challenging because they include intractable terms, which are functions of parameters of interest. Although several alternatives have been developed for such models, they are…

机器学习 · 统计学 2025-08-08 Heesang Lee , Songhee Kim , Bokgyeong Kang , Jaewoo Park