English
Related papers

Related papers: Self-learning Monte Carlo with equivariant Transfo…

200 papers

Tailoring the performance of next-generation high entropy materials requires a deep understanding of the competition between entropy-driven random solid solution and enthalpy-driven chemical ordering. Investigating such order and disorder…

Materials Science · Physics 2026-03-24 Fanli Zhou , Hao Chen , Pengxiang Xu , Kai Yang , Zongrui Pei , Xianglin Liu

Sampling-based inference has seen a surge of interest in recent years. Hamiltonian Monte Carlo (HMC) has emerged as a powerful algorithm that leverages concepts from Hamiltonian dynamics to efficiently explore complex target distributions.…

Computation · Statistics 2026-04-07 Arghya Mukherjee , Dootika Vats

Markov Chain Monte Carlo (MCMC) algorithms are often used for approximate inference inside learning, but their slow mixing can be difficult to diagnose and the approximations can seriously degrade learning. To alleviate these issues, we…

Machine Learning · Computer Science 2015-02-25 Jacob Steinhardt , Percy Liang

We propose a general way to construct an effective Hamiltonian in the Self-learning Monte Carlo method (SLMC), which speeds up Monte Carlo simulations by training an effective model to propose uncorrelated configurations in the Markov…

Strongly Correlated Electrons · Physics 2020-03-11 Yuki Nagai , Masahiko Okumura , Akinori Tanaka

Deep learning has deeply changed the paradigms of many research fields. At the heart of chemical and physical sciences is the accurate ab initio calculation of many-body wavefunction, which has become one of the most notable examples to…

Chemical Physics · Physics 2025-04-01 Yubing Qian , Xiang Li , Zhe Li , Weiluo Ren , Ji Chen

Numerous capability and safety techniques of Large Language Models (LLMs), including RLHF, automated red-teaming, prompt engineering, and infilling, can be cast as sampling from an unnormalized target distribution defined by a given reward…

Machine Learning · Computer Science 2024-05-01 Stephen Zhao , Rob Brekelmans , Alireza Makhzani , Roger Grosse

This paper concerns the use of sequential Monte Carlo methods (SMC) for smoothing in general state space models. A well-known problem when applying the standard SMC technique in the smoothing mode is that the resampling mechanism introduces…

Statistics Theory · Mathematics 2008-03-06 Jimmy Olsson , Olivier Cappé , Randal Douc , Eric Moulines

State space models (SSM) have been widely applied for the analysis and visualization of large sequential datasets. Sequential Monte Carlo (SMC) is a very popular particle-based method to sample latent states from intractable posteriors.…

Machine Learning · Computer Science 2019-01-07 Duo Xu

Bayesian deep learning offers a principled way to address many issues concerning safety of artificial intelligence (AI), such as model uncertainty,model interpretability, and prediction bias. However, due to the lack of efficient Monte…

Machine Learning · Statistics 2020-09-22 Sehwan Kim , Qifan Song , Faming Liang

The problem of optimising functions with intractable gradients frequently arise in machine learning and statistics, ranging from maximum marginal likelihood estimation procedures to fine-tuning of generative models. Stochastic approximation…

Machine Learning · Statistics 2026-01-30 James Cuin , Davide Carbone , Yanbo Tang , O. Deniz Akyildiz

A procedure for unfolding the true distribution from experimental data is presented. Machine learning methods are applied for simultaneous identification of an apparatus function and solving of an inverse problem. A priori information about…

Data Analysis, Statistics and Probability · Physics 2011-05-26 Nikolai Gagunashvili

This work presents self-rewarding sequential Monte Carlo (SMC), an inference-time scaling algorithm enabling effective sampling of masked diffusion language models (MDLMs). Our algorithm stems from the observation that most existing MDLMs…

Machine Learning · Computer Science 2026-02-03 Ziwei Luo , Ziqi Jin , Lei Wang , Lidong Bing , Thomas B. Schön

Complex soft matter systems can be efficiently studied with the help of adaptive resolution simulation methods, concurrently employing two levels of resolution in different regions of the simulation domain. The non-matching properties of…

We study the site-diluted double exchange (DE) model and its effective Ruderman-Kittel-Kasuya-Yosida-like interactions, where localized spins are randomly distributed, with the use of the Self-learning Monte Carlo (SLMC) method. The SLMC…

Disordered Systems and Neural Networks · Physics 2021-02-22 Hidehiko Kohshiro , Yuki Nagai

Designing efficient learning algorithms with complexity guarantees for Markov decision processes (MDPs) with large or continuous state and action spaces remains a fundamental challenge. We address this challenge for entropy-regularized MDPs…

Machine Learning · Computer Science 2025-06-05 Matthieu Meunier , Christoph Reisinger , Yufei Zhang

In many real-world engineering systems, the performance or reliability of the system is characterised by a scalar parameter. The distribution of this performance parameter is important in many uncertainty quantification problems, ranging…

Methodology · Statistics 2022-10-03 Robert Millar , Jinglai Li , Hui Li

Matrix quantum mechanics plays various important roles in theoretical physics, such as a holographic description of quantum black holes. Understanding quantum black holes and the role of entanglement in a holographic setup is of paramount…

In this work, we introduce a simple modification of the Monte Carlo algorithm, which we call step Monte Carlo (sMC). The sMC approach allows to simulate processes far from equilibrium and obtain information about the dynamic properties of…

Other Condensed Matter · Physics 2023-12-15 Dariusz Sztenkiel

Machine-learning (ML) force fields enable large-scale simulations with near-first-principles accuracy at substantially reduced computational cost. Recent work has extended ML force-field approaches to adiabatic dynamical simulations of…

Strongly Correlated Electrons · Physics 2026-01-08 Yunhao Fan , Gia-Wei Chern

We propose novel scale-invariant error estimators for the Monte Carlo and multilevel Monte Carlo estimation of mean and variance. For any linear transformation of the distribution of the quantity of interest, the computation cost across…

Numerical Analysis · Mathematics 2025-12-09 Sharana Kumar Shivanand , Bojana Rosić