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Homogenisation empowers the efficient macroscale system level prediction of physical scenarios with intricate microscale structures. Here we develop an innovative powerful, rigorous and flexible framework for asymptotic homogenisation of…

动力系统 · 数学 2025-04-08 A. J. Roberts

A Boltzmann machine is a stochastic neural network that has been extensively used in the layers of deep architectures for modern machine learning applications. In this paper, we develop a Boltzmann machine that is capable of modelling…

统计力学 · 物理学 2016-10-18 Giacomo Torlai , Roger G. Melko

Continual learning and machine unlearning are crucial challenges in machine learning, typically addressed separately. Continual learning focuses on adapting to new knowledge while preserving past information, whereas unlearning involves…

机器学习 · 计算机科学 2024-12-30 Romit Chatterjee , Vikram Chundawat , Ayush Tarun , Ankur Mali , Murari Mandal

Lubrication equations allow to describe many structurin processes of thin liquid films. We develop and apply numerical tools suitable for their analysis employing a dynamical systems approach. In particular, we present a time integration…

斑图形成与孤子 · 物理学 2010-09-03 Ph. Beltrame , U. Thiele

We investigate corrector estimates for the solutions of a thermoelasticity problem posed in a highly heterogeneous two-phase medium and its corresponding two-scale thermoelasticity model which was derived in an earlier paper by two-scale…

偏微分方程分析 · 数学 2017-02-13 Michael Eden , Adrian Muntean

We review and compare numerical methods that simultaneously control temperature while preserving the momentum, a family of particle simulation methods commonly used for the modelling of complex fluids and polymers. The class of methods…

计算物理 · 物理学 2020-02-14 Benedict Leimkuhler , Xiaocheng Shang

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

化学物理 · 物理学 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

Deformable elastic bodies in viscous and viscoelastic media constitute a large portion of synthetic and biological complex fluids. We present a parallelized 3D-simulation methodology which fully resolves the momentum balance in the solid…

计算物理 · 物理学 2019-03-11 Amir Saadat , Chris J. Guido , Gianluca Iaccarino , Eric S. G. Shaqfeh

Determining the stability of molecules and condensed phases is the cornerstone of atomistic modelling, underpinning our understanding of chemical and materials properties and transformations. Here we show that a machine learning model,…

A central problem in machine learning involves modeling complex data-sets using highly flexible families of probability distributions in which learning, sampling, inference, and evaluation are still analytically or computationally…

机器学习 · 计算机科学 2015-11-20 Jascha Sohl-Dickstein , Eric A. Weiss , Niru Maheswaranathan , Surya Ganguli

Computing equilibrium concentrations of molecular complexes is generally analytically intractable and requires numerical approaches. In this work we focus on the polymer-monomer level, where indivisible molecules (monomers) combine to form…

数据结构与算法 · 计算机科学 2025-08-25 Hamidreza Akef , Minki Hhan , David Soloveichik

Recently, there has been a growing interest in applying machine learning methods to problems in engineering mechanics. In particular, there has been significant interest in applying deep learning techniques to predicting the mechanical…

机器学习 · 计算机科学 2023-03-15 Saeed Mohammadzadeh , Peerasait Prachaseree , Emma Lejeune

Dynamic discrete choice models often discretize the state vector and restrict its dimension in order to achieve valid inference. I propose a novel two-stage estimator for the set-identified structural parameter that incorporates a…

计量经济学 · 经济学 2018-11-07 Vira Semenova

This work is devoted to the consistent modeling of a three-phase mixture of a gas, a liquid and its vapor. Since the gas and the vapor are mis-cible, the mixture is subjected to a non-symmetric constraint on the volume. Adopting the Gibbs…

偏微分方程分析 · 数学 2017-10-13 Hélène Mathis

High-intensity laser plasma interactions create complex computational problems because they involve both fluid and kinetic regimes, which need models that maintain physical precision while keeping computational speed. The research…

等离子体物理 · 物理学 2025-10-14 Sadra Saremi , Amirhossein Ahmadkhan Kordbacheh

We present a method for differentiable simulation of soft articulated bodies. Our work enables the integration of differentiable physical dynamics into gradient-based pipelines. We develop a top-down matrix assembly algorithm within…

机器学习 · 计算机科学 2022-05-05 Yi-Ling Qiao , Junbang Liang , Vladlen Koltun , Ming C. Lin

A machine learning approach is presented to accelerate the computation of block polymer morphology evolution for large domains over long timescales. The strategy exploits the separation of characteristic times between coarse-grained…

化学物理 · 物理学 2023-09-01 Hyun Park , Boyuan Yu , Juhae Park , Ge Sun , Emad Tajkhorshid , Juan J. de Pablo , Ludwig Schneider

Critical heat flux is a key quantity in boiling system modeling due to its impact on heat transfer and component temperature and performance. This study investigates the development and validation of an uncertainty-aware hybrid modeling…

机器学习 · 计算机科学 2025-07-17 Aidan Furlong , Xingang Zhao , Robert Salko , Xu Wu

The function of biomolecules such as proteins depends on their ability to interconvert between a wide range of structures or "conformations." Researchers have endeavored for decades to develop computational methods to predict the…

生物大分子 · 定量生物学 2026-02-05 Daniel D. Richman , Jessica Karaguesian , Carl-Mikael Suomivuori , Ron O. Dror

Multiphase systems are ubiquitous in engineering, biology, and materials science, where understanding their complex interactions and rheological behavior is crucial for advancing applications ranging from emulsion stability to cellular…

流体动力学 · 物理学 2025-10-27 Andres Santiago Espinosa-Moreno , Nicolas Moreno , Marco Ellero