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Machine learning for scientific applications faces the challenge of limited data. We propose a framework that leverages a priori known physics to reduce overfitting when training on relatively small datasets. A deep neural network is…

Machine Learning · Computer Science 2019-11-22 Jonathan B. Freund , Jonathan F. MacArt , Justin Sirignano

Molecular structure elucidation from spectra is a fundamental challenge in molecular science. Conventional approaches rely heavily on expert interpretation and lack scalability, while retrieval-based machine learning approaches remain…

Machine Learning · Computer Science 2025-11-06 Liang Wang , Yu Rong , Tingyang Xu , Zhenyi Zhong , Zhiyuan Liu , Pengju Wang , Deli Zhao , Qiang Liu , Shu Wu , Liang Wang , Yang Zhang

Remote photoplethysmography (rPPG), which aims at measuring heart activities and physiological signals from facial video without any contact, has great potential in many applications (e.g., remote healthcare and affective computing). Recent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Zitong Yu , Yuming Shen , Jingang Shi , Hengshuang Zhao , Philip Torr , Guoying Zhao

Nonlinear partial differential equations (PDEs) are pivotal in modeling complex physical systems, yet traditional Physics-Informed Neural Networks (PINNs) often struggle with unresolved residuals in critical spatiotemporal regions and…

Machine Learning · Computer Science 2026-04-03 Ziyang Zhang , Feifan Zhang , Weidong Tang , Lei Shi , Tailai Chen

Deep learning has shown strong potential in modeling complex spatiotemporal dynamics. However, most existing methods depend on densely and uniformly sampled data, which is often unavailable in practice due to sensor and cost limitations. In…

Machine Learning · Computer Science 2025-12-16 Han Wan , Qi Wang , Yuan Mi , Rui Zhang , Hao Sun

Physics-informed neural networks (PINNs) have great potential for flexibility and effectiveness in forward modeling and inversion of seismic waves. However, coordinate-based neural networks (NNs) commonly suffer from the "spectral bias"…

Geophysics · Physics 2025-06-19 Yi Ding , Su Chen , Hiroe Miyake , Xiaojun Li

Predictive Physics has been historically based upon the development of mathematical models that describe the evolution of a system under certain external stimuli and constraints. The structure of such mathematical models relies on a set of…

Machine Learning · Computer Science 2020-11-24 Jacobo Ayensa-Jiménez , Mohamed H. Doweidar , Jose A. Sanz-Herrera , Manuel Doblaré

Simulating complex physical systems often involves solving partial differential equations (PDEs) with some closures due to the presence of multi-scale physics that cannot be fully resolved. Therefore, reliable and accurate closure models…

Computational Physics · Physics 2020-02-19 Jin-Long Wu , Karthik Kashinath , Adrian Albert , Dragos Chirila , Prabhat , Heng Xiao

Simulation of the dynamics of physical systems is essential to the development of both science and engineering. Recently there is an increasing interest in learning to simulate the dynamics of physical systems using neural networks.…

Machine Learning · Computer Science 2022-01-31 Ce Yang , Weihao Gao , Di Wu , Chong Wang

This work is concerned with discovering the governing partial differential equation (PDE) of a physical system. Existing methods have demonstrated the PDE identification from finite observations but failed to maintain satisfying results…

Numerical Analysis · Mathematics 2023-02-09 Pongpisit Thanasutives , Takashi Morita , Masayuki Numao , Ken-ichi Fukui

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

A physics-informed neural network (PINN) uses physics-augmented loss functions, e.g., incorporating the residual term from governing partial differential equations (PDEs), to ensure its output is consistent with fundamental physics laws.…

Machine Learning · Computer Science 2022-12-16 Jian Cheng Wong , Chinchun Ooi , Abhishek Gupta , Yew-Soon Ong

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

Physics-informed neural networks (PINNs) have garnered significant interest for their potential in solving partial differential equations (PDEs) that govern a wide range of physical phenomena. By incorporating physical laws into the…

Machine Learning · Computer Science 2026-04-24 Jian Cheng Wong , Isaac Yin Chung Lai , Pao-Hsiung Chiu , Chin Chun Ooi , Abhishek Gupta , Yew-Soon Ong

Unveiling the underlying governing equations of nonlinear dynamic systems remains a significant challenge. Insufficient prior knowledge hinders the determination of an accurate candidate library, while noisy observations lead to imprecise…

Machine Learning · Computer Science 2024-04-30 Mengge Du , Yuntian Chen , Longfeng Nie , Siyu Lou , Dongxiao Zhang

In continual learning, solving the catastrophic forgetting problem may make the models fall into the stability-plasticity dilemma. Moreover, inter-task confusion will also occur due to the lack of knowledge exchanges between different…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Sheng-Kai Huang , Jiun-Feng Chang , Chun-Rong Huang

Recent advances in generative artificial intelligence have had a significant impact on diverse domains spanning computer vision, natural language processing, and drug discovery. This work extends the reach of generative models into physical…

Machine Learning · Computer Science 2024-10-22 Christian Jacobsen , Yilin Zhuang , Karthik Duraisamy

The application of deep learning methods to speed up the resolution of challenging power flow problems has recently shown very encouraging results. However, power system dynamics are not snap-shot, steady-state operations. These dynamics…

Machine Learning · Computer Science 2022-06-22 Mostafa Mohammadian , Kyri Baker , Ferdinando Fioretto

We tackle the challenge of learning a distribution over complex, realistic, indoor scenes. In this paper, we introduce Generative Scene Networks (GSN), which learns to decompose scenes into a collection of many local radiance fields that…

Computer Vision and Pattern Recognition · Computer Science 2021-04-02 Terrance DeVries , Miguel Angel Bautista , Nitish Srivastava , Graham W. Taylor , Joshua M. Susskind

We introduce SynFormer, a generative modeling framework designed to efficiently explore and navigate synthesizable chemical space. Unlike traditional molecular generation approaches, we generate synthetic pathways for molecules to ensure…

Machine Learning · Computer Science 2024-10-07 Wenhao Gao , Shitong Luo , Connor W. Coley