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Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

数值分析 · 数学 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

Data-driven modeling approaches can produce fast surrogates to study large-scale physics problems. Among them, graph neural networks (GNNs) that operate on mesh-based data are desirable because they possess inductive biases that promote…

机器学习 · 计算机科学 2023-04-04 Brian R. Bartoldson , Yeping Hu , Amar Saini , Jose Cadena , Yucheng Fu , Jie Bao , Zhijie Xu , Brenda Ng , Phan Nguyen

Research has shown that deep neural networks contain significant redundancy, and that high classification accuracies can be achieved even when weights and activations are quantised down to binary values. Network binarisation on FPGAs…

机器学习 · 计算机科学 2019-04-02 Erwei Wang , James J. Davis , Peter Y. K. Cheung , George A. Constantinides

Learning-based methods have made significant progress in physics simulation, typically approximating dynamics with a monolithic end-to-end optimized neural network. Although these models offer an effective way to simulation, they may lose…

机器学习 · 计算机科学 2025-12-18 Yifei Li , Haixu Wu , Zeyi Xu , Tuur Stuyck , Wojciech Matusik

Neural-network quantum molecular dynamics (NNQMD) simulations based on machine learning are revolutionizing atomistic simulations of materials by providing quantum-mechanical accuracy but orders-of-magnitude faster, illustrated by ACM…

It is shown micromagnetic and atomistic spin dynamics simulations can use multiple GPUs in order to reduce computation time, but also to allow for a larger simulation size than is possible on a single GPU. Whilst interactions which depend…

介观与纳米尺度物理 · 物理学 2023-10-12 Serban Lepadatu

To address the magnetization dynamics in ferromagnetic materials described by the Landau-Lifshitz-Gilbert equation under large damping parameters, a third-order accurate numerical scheme is developed by building upon a second-order method…

数值分析 · 数学 2025-10-31 Changjian Xie , Cheng Wang

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

机器学习 · 计算机科学 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

Grokking is proposed and widely studied as an intricate phenomenon in which generalization is achieved after a long-lasting period of overfitting. In this work, we propose NeuralGrok, a novel gradient-based approach that learns an optimal…

机器学习 · 计算机科学 2025-04-28 Xinyu Zhou , Simin Fan , Martin Jaggi , Jie Fu

Machine Learning surrogates for Computational Fluid Dynamics (CFD), particularly Graph Neural Networks (GNNs) and Transformers, have become a new important approach for accelerating physics simulations. However, we identify a critical…

机器学习 · 计算机科学 2026-05-05 Paul Garnier , Vincent Lannelongue , Elie Hachem

Neuromorphic computing (NC) introduces a novel algorithmic paradigm representing a major shift from traditional digital computing of Von Neumann architectures. NC emulates or simulates the neural dynamics of brains in the form of Spiking…

神经与进化计算 · 计算机科学 2025-05-23 El-ghazali Talbi

Stochastic Gradient Descent (SGD), a widely used optimization algorithm in deep learning, is often limited to converging to local optima due to the non-convex nature of the problem. Leveraging these local optima to improve model performance…

机器学习 · 计算机科学 2023-09-22 Hao Chen , Yusen Wu , Phuong Nguyen , Chao Liu , Yelena Yesha

Accurate and efficient seismic response prediction is essential for the design of resilient structures. While the Finite Element Method (FEM) remains the standard for nonlinear seismic analysis, its high computational demands limit its…

机器学习 · 计算机科学 2026-03-06 Sutirtha Biswas , Kshitij Kumar Yadav

We present efficient numerical methods for the simulation of small magnetization oscillations in three-dimensional micromagnetic systems. Magnetization dynamics is described by the Landau-Lifshitz-Gilbert (LLG) equation, linearized in the…

计算物理 · 物理学 2023-01-18 Massimiliano d'Aquino , Riccardo Hertel

Neural networks have become dominant computational workloads across cloud and edge platforms, but their rapid growth in model size and deployment diversity has exposed hardware bottlenecks increasingly dominated by memory movement,…

系统与控制 · 电气工程与系统科学 2026-01-16 Bin Xu , Ayan Banerjee , Sandeep Gupta

High-precision scientific simulation faces a long-standing trade-off between computational efficiency and physical fidelity. To address this challenge, we propose NeuralOGCM, an ocean modeling framework that fuses differentiable programming…

机器学习 · 计算机科学 2025-12-15 Hao Wu , Yuan Gao , Fan Xu , Fan Zhang , Guangliang Liu , Yuxuan Liang , Xiaomeng Huang

Efficient neural networks (NNs) leveraging lookup tables (LUTs) have demonstrated significant potential for emerging AI applications, particularly when deployed on field-programmable gate arrays (FPGAs) for edge computing. These…

机器学习 · 计算机科学 2025-04-02 Marta Andronic , George A. Constantinides

Long-term, high-fidelity simulation of slow-changing physical systems, such as the ocean and climate, presents a fundamental challenge in scientific computing. Traditional autoregressive machine learning models often fail in these tasks as…

机器学习 · 计算机科学 2026-01-21 Yuan Gao , Hao Wu , Fan Xu , Yanfei Xiang , Ruijian Gou , Ruiqi Shu , Qingsong Wen , Xian Wu , Kun Wang , Xiaomeng Huang

Physics-based simulation of mesh based domains remains a challenging task. State-of-the-art techniques can produce realistic results but require expert knowledge. A major bottleneck in many approaches is the step of integrating a potential…

图形学 · 计算机科学 2023-11-07 Oshri Halimi , Egor Larionov , Zohar Barzelay , Philipp Herholz , Tuur Stuyck

Complex spin-spin interactions in magnets can often lead to magnetic superlattices with complex local magnetic arrangements, and many of the magnetic superlattices have been found to possess non-trivial topological electronic properties.…

材料科学 · 物理学 2023-06-05 Yang Zhong , Binhua Zhang , Hongyu Yu , Xingao Gong , Hongjun Xiang