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Stochastic reaction networks that exhibit bistability are common in many fields such as systems biology and materials science. Sampling of the stationary distribution is crucial for understanding and characterizing the long term dynamics of…

数值分析 · 数学 2018-01-17 Ting Wang , Petr Plecháč

Metastability is a common obstacle to performing long molecular dynamics simulations. Many numerical methods have been proposed to overcome it. One method is parallel replica dynamics, which relies on the rapid convergence of the underlying…

数值分析 · 数学 2015-05-20 Andrew Binder , Tony Lelièvre , Gideon Simpson

Real-world physical systems are inherently complex, often involving the coupling of multiple physics, making their simulation both highly valuable and challenging. Many mainstream approaches face challenges when dealing with decoupled data.…

机器学习 · 计算机科学 2026-01-28 Tianrun Gao , Haoren Zheng , Wenhao Deng , Haodong Feng , Tao Zhang , Ruiqi Feng , Qianyi Chen , Tailin Wu

We present ParaDRAM, a high-performance Parallel Delayed-Rejection Adaptive Metropolis Markov Chain Monte Carlo software for optimization, sampling, and integration of mathematical objective functions encountered in scientific inference.…

计算工程、金融与科学 · 计算机科学 2020-08-24 Amir Shahmoradi , Fatemeh Bagheri

Parallel replica dynamics is a method for accelerating the computation of processes characterized by a sequence of infrequent events. In this work, the processes are governed by the overdamped Langevin equation. Such processes spend much of…

数值分析 · 数学 2012-09-04 Gideon Simpson , Mitchell Luskin

A version of the time-parallel algorithm parareal is analyzed and applied to stochastic models in chemical kinetics. A fast predictor at the macroscopic scale (evaluated in serial) is available in the form of the usual reaction rate…

数值分析 · 数学 2009-09-16 Stefan Engblom

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…

化学物理 · 物理学 2009-10-30 Ulrich H. E. Hansmann

Stochastic, spatial reaction-diffusion simulations have been widely used in systems biology and computational neuroscience. However, the increasing scale and complexity of simulated models and morphologies have exceeded the capacity of any…

定量方法 · 定量生物学 2016-10-10 Weiliang Chen , Erik De Schutter

Large-scale molecular dynamics simulations with high accuracy have been increasingly popular for their capability to bridge the gap between atomistic modeling and mesoscale phenomena. Both machine learning potentials and enhanced sampling…

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

机器学习 · 计算机科学 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

机器学习 · 计算机科学 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

In molecular dynamics (MD) simulations, accessing transition probabilities between states is crucial for understanding kinetic information, such as reaction paths and rates. However, standard MD simulations are hindered by the capacity to…

化学物理 · 物理学 2025-08-07 Yanbin Wang , Jakub Rydzewski , Ming Chen

We study the Parallel Replica Dynamics in a general setting. We introduce a trajectory fragment framework that can be used to design and prove consistency of Parallel Replica algorithms for generic Markov processes. We use our framework to…

数值分析 · 数学 2022-04-22 David Aristoff

Simulating transition dynamics between metastable states is a fundamental challenge in dynamical systems and stochastic processes with wide real-world applications in understanding protein folding, chemical reactions and neural activities.…

机器学习 · 计算机科学 2024-10-22 Haibo Wang , Yuxuan Qiu , Yanze Wang , Rob Brekelmans , Yuanqi Du

Many techniques in program synthesis, superoptimization, and array programming require parallel rollouts of general-purpose programs. GPUs, while capable targets for domain-specific parallelism, are traditionally underutilized by such…

编程语言 · 计算机科学 2026-04-15 Breandan Considine

Previous work has shown that there are two major complexity barriers in the synthesis of fault-tolerant distributed programs: (1) generation of fault-span, the set of states reachable in the presence of faults, and (2) resolving deadlock…

分布式、并行与集群计算 · 计算机科学 2009-12-15 Fuad Abujarad , Borzoo Bonakdarpour , Sandeep S. Kulkarni

The parallel replica dynamics, originally developed by A.F. Voter, efficiently simulates very long trajectories of metastable Langevin dynamics. We present an analogous algorithm for discrete time Markov processes. Such Markov processes…

数值分析 · 数学 2015-08-24 David Aristoff , Tony Lelièvre , Gideon Simpson

We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while keeping the complexity of an explicit scheme: it does not…

数值分析 · 数学 2024-02-27 Pierre Gerhard , Philippe Helluy , Victor Michel-Dansac , Bruno Weber

Large molecular dynamics simulations (millions of atoms, tens of microseconds, thousands of processors) hit the strong scalability wall: simulation on twice as many processors does not take half the time. Inspired by large N-body space…

数值分析 · 计算机科学 2013-10-21 Jana Pazúriková , Luděk Matyska

Exascale systems, expected to emerge by the end of the next decade, will require the exploitation of billion-way parallelism at multiple hierarchical levels in order to achieve the desired sustained performance. The task of assessing future…

分布式、并行与集群计算 · 计算机科学 2011-09-27 Matthew Anderson , Maciej Brodowicz , Hartmut Kaiser , Thomas Sterling
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