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We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

Substitution of well-grounded theoretical models by data-driven predictions is not as simple in engineering and sciences as it is in social and economic fields. Scientific problems suffer most times from paucity of data, while they may…

Machine Learning · Computer Science 2020-11-18 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose Antonio Sanz-Herrera , Manuel Doblaré

The H\"uckel Hamiltonian is an incredibly simple tight-binding model famed for its ability to capture qualitative physics phenomena arising from electron interactions in molecules and materials. Part of its simplicity arises from using only…

In the trend of hybrid Artificial Intelligence techniques, Physical-Informed Machine Learning has seen a growing interest. It operates mainly by imposing data, learning, or architecture bias with simulation data, Partial Differential…

Machine Learning · Computer Science 2024-08-05 Alexis-Raja Brachet , Pierre-Yves Richard , Céline Hudelot

This paper presents a framework for physics-informed learning in complex cyber-physical systems governed by differential equations with both unknown dynamics and algebraic invariants. First, we formalize the Hybrid Recurrent…

Machine Learning · Computer Science 2025-12-01 Enzo Nicolás Spotorno , Josafat Leal Filho , Antônio Augusto Fröhlich

Machine learning force fields possess unprecedented potential in achieving both accuracy and efficiency in molecular simulations. Nevertheless, their application in organic systems is often hindered by structural collapse during simulation…

Computational Physics · Physics 2026-02-03 Junbao Hu , Dingyu Hou , Jian Jiang

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.…

Materials Science · Physics 2023-06-05 Yang Zhong , Binhua Zhang , Hongyu Yu , Xingao Gong , Hongjun Xiang

Physics-Informed Neural Networks (PINNs) have gained considerable interest in diverse engineering domains thanks to their capacity to integrate physical laws into deep learning models. Recently, geometry-aware PINN-based approaches that…

Machine Learning · Computer Science 2025-07-30 Thi Nguyen Khoa Nguyen , Thibault Dairay , Raphaël Meunier , Christophe Millet , Mathilde Mougeot

Data-driven approaches such as deep learning can result in predictive models for material properties with exceptional accuracy and efficiency. However, in many applications, data is sparse, severely limiting their accuracy and…

Machine Learning · Computer Science 2025-10-29 Robert J Appleton , Brian C Barnes , Alejandro Strachan

Machine Learning (ML)-based force fields are attracting ever-increasing interest due to their capacity to span spatiotemporal scales of classical interatomic potentials at quantum-level accuracy. They can be trained based on high-fidelity…

Chemical Physics · Physics 2024-06-03 Sebastien Röcken , Julija Zavadlav

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

Machine Learning · Computer Science 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

Classification using multimodal data arises in many machine learning applications. It is crucial not only to model cross-modal relationship effectively but also to ensure robustness against loss of part of data or modalities. In this paper,…

Machine Learning · Computer Science 2019-04-22 Jun-Ho Choi , Jong-Seok Lee

Physics-informed deep learning models have emerged as powerful tools for learning dynamical systems. These models directly encode physical principles into network architectures. However, systematic benchmarking of these approaches across…

Physics-informed neural networks (PINNs), rooted in deep learning, have emerged as a promising approach for solving partial differential equations (PDEs). By embedding the physical information described by PDEs into feedforward neural…

Machine Learning · Computer Science 2024-01-26 Yanzhi Liu , Ruifan Wu , Ying Jiang

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

An innovative physics-guided learning algorithm for predicting the mechanical response of materials and structures is proposed in this paper. The key concept of the proposed study is based on the fact that physics models are governed by…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Houpu Yao , Yi Gao , Yongming Liu

The architecture of a neural network and the selection of its activation function are both fundamental to its performance. Equally vital is ensuring these two elements are well-matched, as their alignment is key to achieving effective…

Machine Learning · Computer Science 2025-06-25 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

This paper proposes a physics-informed learning framework for a class of recurrent neural networks tailored to large-scale and networked systems. The approach aims to learn control-oriented models that preserve the structural and stability…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Daniele Ravasio , Claudia Sbardi , Marcello Farina , Andrea Ballarino

An obstacle to artificial general intelligence is set by continual learning of multiple tasks of different nature. Recently, various heuristic tricks, both from machine learning and from neuroscience angles, were proposed, but they lack a…

Statistical Mechanics · Physics 2023-07-31 Chan Li , Zhenye Huang , Wenxuan Zou , Haiping Huang
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