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Importance sampling (IS) is commonly used for cross validation (CV) in Bayesian models, because it only involves reweighting existing posterior draws without needing to re-estimate the model by re-running Markov chain Monte Carlo (MCMC).…

统计计算 · 统计学 2025-08-12 Geonhee Han , Andrew Gelman

Recent advances in reasoning with large language models (LLMs) have shown the effectiveness of Monte Carlo Tree Search (MCTS) for generating high quality intermediate trajectories, particularly in math and symbolic domains. Inspired by…

人工智能 · 计算机科学 2025-12-23 Bingning Huang , Tu Nguyen , Matthieu Zimmer

We consider the computation of the permanent of a binary n by n matrix. It is well- known that the exact computation is a #P complete problem. A variety of Markov chain Monte Carlo (MCMC) computational algorithms have been introduced in the…

统计计算 · 统计学 2013-05-30 Ajay Jasra , Junshan Wang

Gradient-based Monte Carlo sampling algorithms, like Langevin dynamics and Hamiltonian Monte Carlo, are important methods for Bayesian inference. In large-scale settings, full-gradients are not affordable and thus stochastic gradients…

机器学习 · 计算机科学 2019-06-25 Zhize Li , Tianyi Zhang , Shuyu Cheng , Jun Zhu , Jian Li

Most solved dynamic structural macrofinance models are non-linear and/or non-Gaussian state-space models with high-dimensional and complex structures. We propose an annealed controlled sequential Monte Carlo method that delivers numerically…

统计计算 · 统计学 2022-01-05 Andras Fulop , Jeremy Heng , Junye Li

Statistical inference in evolutionary models with site-dependence is a long-standing challenge in phylogenetics and computational biology. We consider the problem of approximating marginal sequence likelihoods under dependent-site models of…

统计计算 · 统计学 2025-11-12 Joseph Mathews , Scott C. Schmidler

Monte Carlo rendering and modern generative models both transform uncertain states into structured images, yet they are usually studied as separate processes. We introduce Monte Carlo Transport Scheduling, a framework that treats…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Junwei Shu , Wenjie Liu , Hantang Liu , Changbo Wang , Yang Li

Statistical inference methods are fundamentally important in machine learning. Most state-of-the-art inference algorithms are variants of Markov chain Monte Carlo (MCMC) or variational inference (VI). However, both methods struggle with…

机器学习 · 计算机科学 2019-10-17 Yichuan Zhang , José Miguel Hernández-Lobato

Diffusion models excel in generative tasks, but aligning them with specific objectives while maintaining their versatility remains challenging. Existing fine-tuning methods often suffer from reward over-optimization, while approximate…

机器学习 · 计算机科学 2025-04-18 Sunwoo Kim , Minkyu Kim , Dongmin Park

Monte Carlo simulations of quantum field theories on a lattice become increasingly expensive as the continuum limit is approached since the cost per independent sample grows with a high power of the inverse lattice spacing. Simulations on…

高能物理 - 格点 · 物理学 2021-01-04 Karl Jansen , Eike Hermann Müller , Robert Scheichl

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

应用统计 · 统计学 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

For many analytical problems the challenge is to handle huge amounts of available data. However, there are data science application areas where collecting information is difficult and costly, e.g., in the study of geological phenomena, rare…

机器学习 · 统计学 2019-09-17 Kristian Miok , Dong Nguyen-Doan , Daniela Zaharie , Marko Robnik-Šikonja

Sequential Monte Carlo (SMC) methods have recently shown successful results for conditional sampling of generative diffusion models. In this paper we propose a new diffusion posterior SMC sampler achieving improved statistical efficiencies,…

机器学习 · 统计学 2025-08-25 Zheng Zhao

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

统计方法学 · 统计学 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

In this work, we developed an efficient approach to compute ensemble averages in systems with pairwise-additive energetic interactions between the entities. Methods involving full enumeration of the configuration space result in exponential…

生物大分子 · 定量生物学 2020-10-13 Arun V. Sathanur , Nathan A. Baker

This paper studies the fundamental problem of learning deep generative models that consist of multiple layers of latent variables organized in top-down architectures. Such models have high expressivity and allow for learning hierarchical…

机器学习 · 统计学 2020-07-21 Erik Nijkamp , Bo Pang , Tian Han , Linqi Zhou , Song-Chun Zhu , Ying Nian Wu

Neural networks often assume independence among input data samples, disregarding correlations arising from inherent clustering patterns in real-world datasets (e.g., due to different sites or repeated measurements). Recently, mixed effects…

When samples have internal structure, we often see a mismatch between the objective optimized during training and the model's goal during inference. For example, in sequence-to-sequence modeling we are interested in high-quality translated…

机器学习 · 计算机科学 2020-10-05 Xi Gao , Han Zhang , Aliakbar Panahi , Tom Arodz

The Monte Carlo event generators (MC) are used for the simulation of different processes in high energy physics. To achieve the best description of the data, the parameters of simulations are adjusted (tuned) with different methods. In this…

高能物理 - 实验 · 物理学 2018-01-23 Fabian Klimpel

We study weighted particle systems in which new generations are resampled from current particles with probabilities proportional to their weights. This covers a broad class of sequential Monte Carlo (SMC) methods, widely-used in applied…

统计理论 · 数学 2021-07-20 Jere Koskela , Paul A. Jenkins , Adam M. Johansen , Dario Spano