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We give conditions under which a Markov chain constructed via parallel or simulated tempering is guaranteed to be rapidly mixing, which are applicable to a wide range of multimodal distributions arising in Bayesian statistical inference and…

Probability · Mathematics 2009-06-15 Dawn B. Woodard , Scott C. Schmidler , Mark Huber

We are sometimes forced to use the Interrupted Time Series (ITS) design as an identification strategy for potential policy change, such as when we only have a single treated unit and no comparable controls. For example, with recent county-…

Methodology · Statistics 2020-02-17 Luke Miratrix

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

Innovative numerical scheme studied in this work enables to overcome two main limitations of Building Performance Simulation (BPS) programs as high computational cost and the choice of a very fine numerical grid. The method, called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-07 Madina Abdykarim , Julien Berger , Denys Dutykh , Amen Agbossou

We derived a number of numerical methods to treat biomolecular systems with multiple time scales. Based on the splitting of the operators associated with the slow-varying and fast-varying forces, new multiple time-stepping (MTS) methods are…

Numerical Analysis · Mathematics 2015-01-15 Chao Liang , Xiaolan Yuan , Xiantao Li

Using MCMC to sample from a target distribution, $\pi(x)$ on a $d$-dimensional state space can be a difficult and computationally expensive problem. Particularly when the target exhibits multimodality, then the traditional methods can fail…

Methodology · Statistics 2026-01-14 Nicholas G. Tawn , Gareth O. Roberts

Epidemiologic studies and clinical trials with a survival outcome are often challenged by immortal time (IMT), a period of follow-up during which the survival outcome cannot occur because of the observed later treatment initiation. It has…

Applications · Statistics 2022-02-08 Jiping Wang , Peter Peduzzi , Michael Wininger , Shuangge Ma

The computer simulation of many molecular processes is complicated by long time scales caused by rare transitions between long-lived states. Here, we propose a new approach to simulate such rare events, which combines transition path…

Computational Physics · Physics 2023-03-23 Sebastian Falkner , Alessandro Coretti , Christoph Dellago

The study by Jung et al. (Jung H, Covino R, Arjun A, et al., Nat Comput Sci. 3:334-345 (2023)) introduced Artificial Intelligence for Molecular Mechanism Discovery (AIMMD), a novel sampling algorithm that integrates machine learning to…

Computational Physics · Physics 2026-02-06 Porhouy Minh , Sapna Sarupria

Data assimilation algorithms integrate prior information from numerical model simulations with observed data. Ensemble-based filters, regarded as state-of-the-art, are widely employed for large-scale estimation tasks in disciplines such as…

Numerical Analysis · Mathematics 2024-05-24 Iris Rammelmüller , Gottfried Hastermann , Jana de Wiljes

Many processes in chemistry and physics take place on timescales that cannot be explored using standard molecular dynamics simulations. This renders the use of enhanced sampling mandatory. Here we introduce an enhanced sampling method that…

Chemical Physics · Physics 2020-06-12 Jayashrita Debnath , Michele Parrinello

In the current work we present two generalizations of the Parallel Tempering algorithm, inspired by the so-called continuous-time Infinite Swapping algorithm. Such a method, found its origins in the molecular dynamics community, and can be…

Numerical Analysis · Mathematics 2021-10-13 Jonas Latz , Juan P. Madrigal-Cianci , Fabio Nobile , Raul Tempone

In the present paper we identify a rigorous property of a number of tempering-based Monte Carlo sampling methods, including parallel tempering as well as partial and infinite swapping. Based on this property we develop a variety of…

Statistical Mechanics · Physics 2015-06-11 J. D. Doll , Nuria Plattner , David L. Freeman , Yufei Liu , Paul Dupuis

Current Instance Transfer Learning (ITL) methodologies use domain adaptation and sub-space transformation to achieve successful transfer learning. However, these methodologies, in their processes, sometimes overfit on the target dataset or…

Machine Learning · Computer Science 2022-04-27 Shrey Gupta , Jianzhao Bi , Yang Liu , Avani Wildani

The simulated tempering (ST) is an important method to deal with systems whose phase spaces are hard to sample ergodically. However, it uses accepting probabilities weights which often demand involving and time consuming calculations. Here…

Statistical Mechanics · Physics 2015-05-20 Carlos E. Fiore , M. G. E. da Luz

Consistent distillation methods have evolved into effective techniques that significantly accelerate the sampling process of diffusion models. Although existing methods have achieved remarkable results, the selection of target timesteps…

Computer Vision and Pattern Recognition · Computer Science 2025-09-17 Qi Wang , Shuliang Zhu , Jinjia Zhou

The thermal sensitive electrical parameter (TSEP) method is crucial for enhancing the reliability of power devices through junction temperature monitoring. The TSEP method comprises three key processes: calibration, regression, and…

Machine Learning · Computer Science 2025-01-10 Qinghao Zhang , Wenrui Li , Pinjia Zhang

Informed Markov chain Monte Carlo (MCMC) methods have been proposed as scalable solutions to Bayesian posterior computation on high-dimensional discrete state spaces, but theoretical results about their convergence behavior in general…

Computation · Statistics 2022-02-01 Quan Zhou , Aaron Smith

We introduce and illustrate a number of performance measures for rare-event sampling methods. These measures are designed to be of use in a variety of expanded ensemble techniques including parallel tempering as well as infinite and partial…

Statistical Mechanics · Physics 2015-06-23 J. D. Doll , Paul Dupuis

Thermal spike model (TSM) is presently a widely accepted mechanism of swift heavy ion (SHI) - matter interaction. It provides explanation to various SHI induced effects including mixing across interfaces. The model involves electron-phonon…

Materials Science · Physics 2019-09-04 Paramita Patra , S. A. Khan , M. Bala , D. K. Avasthi , S. K. Srivastava