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For inhomogeneous systems with interfaces, the inclusion of long-range dispersion interactions is necessary to achieve consistency between molecular simulation calculations and experimental results. For accurate and efficient incorporation…

Materials Science · Physics 2013-04-25 Rolf E. Isele-Holder , Wayne Mitchell , Ahmed E. Ismail

The Random Batch Method (RBM) proposed in [Jin et al. J Comput Phys, 2020] is an efficient algorithm for simulating interacting particle systems (IPS). In this paper, we investigate the Random Batch Method with replacement (RBM-r), which is…

Numerical Analysis · Mathematics 2025-11-04 Zhenhao Cai , Jian-Guo Liu , Yuliang Wang

Incremental data mining algorithms process frequent updates to dynamic datasets efficiently by avoiding redundant computation. Existing incremental extension to shared nearest neighbor density based clustering (SNND) algorithm cannot handle…

Databases · Computer Science 2017-02-02 Panthadeep Bhattacharjee , Amit Awekar

To minimise systematic errors in Monte Carlo simulations of charged particles, long range electrostatic interactions have to be calculated accurately and efficiently. Standard approaches, such as Ewald summation or the naive application of…

Computational Physics · Physics 2021-02-24 William Robert Saunders , James Grant , Eike Hermann Müller

The evaluation of long-range Coulomb interactions is a significant cost in molecular dynamics (MD), even when using Particle Mesh Ewald (PME) or Particle-Particle-Particle-Mesh (PPPM) methods, which rely on Ewald splitting and the fast…

Numerical Analysis · Mathematics 2026-04-21 Jiuyang Liang , Libin Lu , Alex Barnett , Leslie Greengard , Shidong Jiang

A random-batch method for multi-species interacting particle systems is proposed, extending the method of S. Jin, L. Li, and J.-G. Liu [J. Comput. Phys. 400 (2020), 108877]. The idea of the algorithmus is to randomly divide, at each time…

Numerical Analysis · Mathematics 2022-05-18 Esther S. Daus , Markus Fellner , Ansgar Jüngel

We investigate several important issues regarding the Random Batch Method (RBM) for second order interacting particle systems. We first show the uniform-in-time strong convergence for second order systems under suitable contraction…

Numerical Analysis · Mathematics 2020-12-02 Shi Jin , Lei Li , Yiqun Sun

Random batch algorithms are constructed for quantum Monte Carlo simulations. The main objective is to alleviate the computational cost associated with the calculations of two-body interactions, including the pairwise interactions in the…

Computational Physics · Physics 2020-09-01 Shi Jin , Xiantao Li

Energy efficient mobility management is an important problem in modern wireless networks with heterogeneous cell sizes and increased nodes densities. We show that optimization-based mobility protocols cannot achieve long-term optimal energy…

Networking and Internet Architecture · Computer Science 2016-08-30 Cong Shen , Cem Tekin , Mihaela van der Schaar

Efficient computational methods that are capable of supporting experimental measures obtained at constant values of pH and redox potential are important tools as they serve to, among other things, provide additional atomic level information…

Chemical Physics · Physics 2018-09-21 Vinícius Wilian D. Cruzeiro , Adrian E. Roitberg

Recurrent Neural Network (RNN) inference exhibits low hardware utilization due to the strict data dependencies across time-steps. Batching multiple requests can increase throughput. However, RNN batching requires a large amount of padding…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Franyell Silfa , Jose Maria Arnau , Antonio Gonzalez

Despite its widespread use in materials science, conventional molecular dynamics (MD) simulations are severely constrained by timescale limitations. To address this shortcoming, we propose an empirical formulation of accelerated MD method,…

Materials Science · Physics 2025-12-10 Liang Wan , Qingsong Mei , Haowen Liu , Huafeng Zhang , Jun-Ping Du , Shigenobu Ogata , Wen Tong Geng

The Random Batch Method (RBM) [S. Jin, L. Li and J.-G. Liu, Random Batch Methods (RBM) for interacting particle systems, J. Comput. Phys. 400 (2020) 108877] is not only an efficient algorithm for simulating interacting particle systems, but…

Numerical Analysis · Mathematics 2025-10-30 Shi Jin , Yuelin Wang , Yuliang Wang

A new efficient ensemble prediction strategy is developed for a general turbulent model framework with emphasis on the nonlinear interactions between large and small scale variables. The high computational cost in running large ensemble…

Fluid Dynamics · Physics 2023-02-22 Di Qi , Jian-Guo Liu

Molecular simulation trajectories represent high-dimensional data. Such data can be visualized by methods of dimensionality reduction. Non-linear dimensionality reduction methods are likely to be more efficient than linear ones due to the…

Chemical Physics · Physics 2020-08-24 Vojtěch Spiwok , Pavel Kříž

Machine learning interatomic potentials (MLIPs) often neglect long-range interactions, such as electrostatic and dispersion forces. In this work, we introduce a straightforward and efficient method to account for long-range interactions by…

Machine Learning · Computer Science 2024-12-20 Bingqing Cheng

We review the Random Batch Methods (RBM) for interacting particle systems consisting of $N$-particles, with $N$ being large. The computational cost of such systems is of $O(N^2)$, which is prohibitively expensive. The RBM methods use small…

Numerical Analysis · Mathematics 2021-04-12 Shi Jin , Lei Li

Network embedding, which learns low-dimensional vector representation for nodes in the network, has attracted considerable research attention recently. However, the existing methods are incapable of handling billion-scale networks, because…

Social and Information Networks · Computer Science 2018-09-11 Ziwei Zhang , Peng Cui , Haoyang Li , Xiao Wang , Wenwu Zhu

With robots increasingly operating in human-centric environments, ensuring soft and safe physical interactions, whether with humans, surroundings, or other machines, is essential. While compliant hardware can facilitate such interactions,…

Robotics · Computer Science 2025-08-29 Mateusz Jaszczuk , Nadia Figueroa

We develop a novel method of replica-exchange molecular dynamics (REMD) simulation, mass-scaling REMD (MSREMD) method, which improves trajectory accuracy at high temperatures, and thereby contributes to numerical stability. In addition, the…

Statistical Mechanics · Physics 2015-06-19 Tetsuro Nagai , Takuya Takahashi