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Coarse-graining (CG) enables molecular dynamics (MD) simulations of larger systems and longer timescales that are otherwise infeasible with atomistic models. Machine learning potentials (MLPs), with their capacity to capture many-body…

Chemical Physics · Physics 2025-12-01 Weilong Chen , Franz Görlich , Paul Fuchs , Julija Zavadlav

In finite-size scaling analyses of Monte Carlo simulations of second-order phase transitions one often needs an extended temperature range around the critical point. By combining the parallel tempering algorithm with cluster updates and an…

Statistical Mechanics · Physics 2015-05-28 Elmar Bittner , Wolfhard Janke

Graphical models are a rich language for describing high-dimensional distributions in terms of their dependence structure. While there are algorithms with provable guarantees for learning undirected graphical models in a variety of…

Machine Learning · Computer Science 2018-11-07 Guy Bresler , Frederic Koehler , Ankur Moitra , Elchanan Mossel

The objective of this article is to study the asymptotic behavior of a new particle filtering approach in the context of hidden Markov models (HMMs). In particular, we develop an algorithm where the latent-state sequence is segmented into…

Statistics Theory · Mathematics 2014-09-16 Hock Peng Chan , Chiang Wee Heng , Ajay Jasra

Restricted Boltzmann Machines (RBMs) are a class of generative neural network that are typically trained to maximize a log-likelihood objective function. We argue that likelihood-based training strategies may fail because the objective does…

Machine Learning · Statistics 2018-04-25 Charles K. Fisher , Aaron M. Smith , Jonathan R. Walsh

This work proposes an adaptive sequential Monte Carlo sampling algorithm to solve Bayesian inverse problems in scenarios where likelihood evaluations are costly but can be approximated using a surrogate model built from previous evaluations…

Computation · Statistics 2025-08-26 Frederic Cerou , Patrick Heas , Mathias Rousset

The effectiveness of a new algorithm, parallel tempering, is studied for numerical simulations of biological molecules. These molecules suffer from a rough energy landscape. The resulting slowing down in numerical simulations is overcome by…

Chemical Physics · Physics 2009-10-30 Ulrich H. E. Hansmann

Based on the algorithm Informed Importance Tempering (IIT) proposed by Li et al. (2023) we propose an algorithm that uses an adaptive bounded balancing function. We argue why implementing parallel tempering where each replica uses a…

Despite the impressive generalization capabilities of deep neural networks, they have been repeatedly shown to be overconfident when they are wrong. Fixing this issue is known as model calibration, and has consequently received much…

Machine Learning · Computer Science 2024-02-15 Muthu Chidambaram , Rong Ge

Multi-task learning (MTL) considers learning a joint model for multiple tasks by optimizing a convex combination of all task losses. To solve the optimization problem, existing methods use an adaptive weight updating scheme, where task…

Machine Learning · Computer Science 2024-07-22 Yifei He , Shiji Zhou , Guojun Zhang , Hyokun Yun , Yi Xu , Belinda Zeng , Trishul Chilimbi , Han Zhao

Many deep learning applications benefit from using large models with billions of parameters. Training these models is notoriously expensive due to the need for specialized HPC clusters. In this work, we consider alternative setups for…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-30 Max Ryabinin , Tim Dettmers , Michael Diskin , Alexander Borzunov

We propose a scheme to calibrate the internal parameters of a quantum annealer to obtain well-approximated samples for training a restricted Boltzmann machine (RBM). Empirically, samples from quantum annealers obey the Boltzmann…

Quantum Physics · Physics 2025-02-18 Takeru Goto , Masayuki Ohzeki

The Restricted Boltzmann Machine (RBM) is one of the simplest generative neural networks capable of learning input distributions. Despite its simplicity, the analysis of its performance in learning from the training data is only well…

Machine Learning · Computer Science 2025-11-13 Yizhou Xu , Florent Krzakala , Lenka Zdeborová

Training an energy-based model (EBM) with maximum likelihood is challenging due to the intractable normalisation constant. Traditional methods rely on expensive Markov chain Monte Carlo (MCMC) sampling to estimate the gradient of logartihm…

Machine Learning · Computer Science 2025-03-11 Hugo Senetaire , Paul Jeha , Pierre-Alexandre Mattei , Jes Frellsen

Land surface temperature (LST) is vital for land-atmosphere interactions and climate processes. Accurate LST retrieval remains challenging under heterogeneous land cover and extreme atmospheric conditions. Traditional split window (SW)…

Atmospheric and Oceanic Physics · Physics 2025-09-08 Tian Xie , Huanfeng Shen , Menghui Jiang , Juan-Carlos Jiménez-Muñoz , José A. Sobrino , Huifang Li , Chao Zeng

Maximum likelihood estimation is widely used in training Energy-based models (EBMs). Training requires samples from an unnormalized distribution, which is usually intractable, and in practice, these are obtained by MCMC algorithms such as…

Machine Learning · Computer Science 2021-04-23 Zhisheng Xiao , Qing Yan , Yali Amit

We present Branch-Train-Merge (BTM), a communication-efficient algorithm for embarrassingly parallel training of large language models (LLMs). We show it is possible to independently train subparts of a new class of LLMs on different…

Computation and Language · Computer Science 2022-08-08 Margaret Li , Suchin Gururangan , Tim Dettmers , Mike Lewis , Tim Althoff , Noah A. Smith , Luke Zettlemoyer

Probabilistic learning is increasingly being tackled as an optimization problem, with gradient-based approaches as predominant methods. When modelling multivariate likelihoods, a usual but undesirable outcome is that the learned model fits…

Machine Learning · Computer Science 2020-10-23 Adrián Javaloy , Isabel Valera

Due to the need for robust uncertainty quantification, Bayesian neural learning has gained attention in the era of deep learning and big data. Markov Chain Monte-Carlo (MCMC) methods typically implement Bayesian inference which faces…

Machine Learning · Computer Science 2020-05-15 Rohitash Chandra , Konark Jain , Arpit Kapoor , Ashray Aman

Latent class model (LCM), which is a finite mixture of different categorical distributions, is one of the most widely used models in statistics and machine learning fields. Because of its non-continuous nature and the flexibility in shape,…

Machine Learning · Statistics 2021-03-23 Hao Chen , Lanshan Han , Alvin Lim
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