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This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

计算工程、金融与科学 · 计算机科学 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

Normalizing flows are a class of machine learning models used to construct a complex distribution through a bijective mapping of a simple base distribution. We demonstrate that normalizing flows are particularly well suited as a Monte Carlo…

核理论 · 物理学 2021-08-11 Jack Brady , Pengsheng Wen , Jeremy W. Holt

Understanding the dynamics of complex molecular processes is often linked to the study of infrequent transitions between long-lived stable states. The standard approach to the sampling of such rare events is to generate an ensemble of…

Accounting for inaccuracies in Monte Carlo simulations is a crucial step in any high energy physics analysis. It becomes especially important when training machine learning models, which can amplify simulation inaccuracies and introduce…

高能物理 - 唯象学 · 物理学 2023-09-29 Samuel Bright-Thonney , Philip Harris , Patrick McCormack , Simon Rothman

Non-equilibrium Monte Carlo simulations based on Jarzynski's equality are a well-understood method to compute differences in free energy and also to sample from a target probability distribution without the need to thermalize the system…

高能物理 - 格点 · 物理学 2024-10-07 Andrea Bulgarelli , Elia Cellini , Alessandro Nada

Crystallization, a fundamental phase transition process governing material formation in natural and industrial contexts, involves the spontaneous emergence of long-range structural order from disordered phases. This long-range periodicity…

统计力学 · 物理学 2025-10-13 YaoKun Lei , MaoDong Li , Yi Isaac Yang

Coarse-grained (CG) molecular dynamics enables simulations of atomic systems such as biomolecules at timescales inaccessible to all-atom (AA) methods, but existing CG neural potentials trained via force matching capture only the gradient of…

机器学习 · 计算机科学 2026-05-14 Sanya Murdeshwar , Sanjit Shashi , Kevin Bachelor , William Noid , Ashwin Lokapally , Razvan Marinescu

The solution of potential-driven steady-state flow in large networks is required in various engineering applications, such as transport of natural gas or water through pipeline networks. The resultant system of nonlinear equations depends…

计算物理 · 物理学 2026-03-20 Shriram Srinivasan , Kaarthik Sundar

Variable selection is a key issue when analyzing high-dimensional data. The explosion of data with large sample sizes and dimensionality brings new challenges to this problem in both inference accuracy and computational complexity. To…

统计方法学 · 统计学 2016-11-30 Xu Chen , Shaan Qamar , Surya T. Tokdar

Using an information theoretic point of view, we investigate how a dynamics acting on a network can be coarse grained through the use of graph partitions. Specifically, we are interested in how aggregating the state space of a Markov…

物理与社会 · 物理学 2017-11-07 Mauro Faccin , Michael T. Schaub , Jean-Charles Delvenne

Coarse-grained (CG) models are simplified representations of soft matter systems that are commonly employed to overcome size and time limitations in computational studies. Many approaches have been developed to construct and parametrise…

统计力学 · 物理学 2022-09-27 Piero Luchi , Roberto Menichetti , Gianluca Lattanzi , Raffaello Potestio

This report summarizes the major progresses to develop the dynamic core for next-generation atmospherical model for both numerical weather prediction and climate simulation. The numerical framework is based on a general formulation,…

计算物理 · 物理学 2020-04-14 Xingliang Li , Chungang Chen , Xueshun Shen , Feng Xiao

By chaining a sequence of differentiable invertible transformations, normalizing flows (NF) provide an expressive method of posterior approximation, exact density evaluation, and sampling. The trend in normalizing flow literature has been…

机器学习 · 计算机科学 2020-10-20 Robert Giaquinto , Arindam Banerjee

We describe a general strategy for sampling configurations from a given distribution, NOT based on the standard Metropolis (Markov chain) strategy. It uses the fact that nontrivial problems in statistical physics are high dimensional and…

统计力学 · 物理学 2009-11-07 P. Grassberger

Using a Coarse-grained Molecular Dynamics (CMD) approach we study the apparent nonlinear dynamics of water molecules filling/emptying carbon nanotubes as a function of system parameters. Different levels of the pore hydrophobicity give rise…

统计力学 · 物理学 2009-11-11 Saravanapriyan Sriraman , Ioannis G. Kevrekidis , Gerhard Hummer

Recovering unbiased kinetic and thermodynamic observables from the enhanced sampling simulations is a central challenge in rare-event sampling. Classical Girsanov Reweighting (GR) offers a principled solution by yielding exact pathwise…

定量方法 · 定量生物学 2026-04-21 Yan Wang , Hao Wu , Simon Olsson

Markov Chain Monte Carlo (MCMC) methods are a powerful tool for computation with complex probability distributions. However the performance of such methods is critically dependant on properly tuned parameters, most of which are difficult if…

统计计算 · 统计学 2021-10-27 James A. Brofos , Marylou Gabrié , Marcus A. Brubaker , Roy R. Lederman

Compared with global average pooling in existing deep convolutional neural networks (CNNs), global covariance pooling can capture richer statistics of deep features, having potential for improving representation and generalization abilities…

计算机视觉与模式识别 · 计算机科学 2020-08-12 Qilong Wang , Jiangtao Xie , Wangmeng Zuo , Lei Zhang , Peihua Li

Gaseous flows show a diverse set of behaviors on different characteristic scales. Given the coarse-grained modeling in theories of fluids, considerable uncertainties may exist between the flow-field solutions and the real physics. To study…

计算物理 · 物理学 2021-05-05 Tianbai Xiao , Martin Frank

We present a Markov Chain Monte Carlo algorithm based on the Metropolis algorithm for simulation of the flow of two immiscible fluids in a porous medium under macroscopic steady-state conditions using a dynamical pore network model that…

流体动力学 · 物理学 2016-12-20 Isha Savani , Santanu Sinha , Alex Hansen , Dick Bedeaux , Signe Kjelstrup , Morten Vassvik