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Physics-Informed Neural Operators provide efficient, high-fidelity simulations for systems governed by partial differential equations (PDEs). However, most existing studies focus only on multi-scale, multi-physics systems within a single…

Machine Learning · Computer Science 2025-07-08 Weidong Wu , Yong Zhang , Lili Hao , Yang Chen , Xiaoyan Sun , Dunwei Gong

Neural operators extend data-driven models to map between infinite-dimensional functional spaces. These models have successfully solved continuous dynamical systems represented by differential equations, viz weather forecasting, fluid flow,…

Machine Learning · Computer Science 2023-10-13 Karn Tiwari , N M Anoop Krishnan , Prathosh A P

Scientific applications increasingly demand real-time surrogate models that can capture the behavior of strongly coupled multiphysics systems driven by multiple input functions, such as in thermo-mechanical and electro-thermal processes.…

Machine Learning · Computer Science 2025-07-08 Kazuma Kobayashi , Jaewan Park , Qibang Liu , Seid Koric , Diab Abueidda , Syed Bahauddin Alam

Neural operators extend data-driven models to map between infinite-dimensional functional spaces. While these operators perform effectively in either the time or frequency domain, their performance may be limited when applied to…

Machine Learning · Computer Science 2024-06-06 Karn Tiwari , N M Anoop Krishnan , A P Prathosh

Modelling complex multiphysics systems governed by nonlinear and strongly coupled partial differential equations (PDEs) is a cornerstone in computational science and engineering. However, it remains a formidable challenge for traditional…

Machine Learning · Computer Science 2025-02-28 Biao Yuan , He Wang , Yanjie Song , Ana Heitor , Xiaohui Chen

Partial differential equations (PDEs) govern a wide range of physical phenomena, but their numerical solution remains computationally demanding, especially when repeated simulations are required across many parameter settings. Recent…

Machine Learning · Computer Science 2026-05-13 Hamda Hmida , Hsiu-Wen Chang Joly , Youssef Mesri

Accurate prediction of nonlinear structural responses is essential for earthquake risk assessment and management. While high-fidelity nonlinear time history analysis provides the most comprehensive and accurate representation of the…

Applications · Statistics 2026-02-12 Jungho Kim , Sang-ri Yi , Ziqi Wang

Partial differential equations (PDEs) govern diverse physical phenomena, yet high-fidelity numerical solutions are computationally expensive and Machine Learning approaches lack generalization. While Scientific Foundation Models (SFMs) aim…

Machine Learning · Computer Science 2026-05-13 Hamda Hmida , Hsiu-Wen Chang , Youssef Mesri

This work presents a finite element-guided physics-informed operator learning framework for multiphysics problems with coupled partial differential equations (PDEs) on arbitrary domains. The proposed framework learns an operator from the…

Machine Learning · Computer Science 2026-04-22 Yusuke Yamazaki , Reza Najian Asl , Markus Apel , Mayu Muramatsu , Shahed Rezaei

Neural operators, which aim to approximate mappings between infinite-dimensional function spaces, have been widely applied in the simulation and prediction of physical systems. However, the limited representational capacity of network…

Machine Learning · Computer Science 2025-06-03 Jin Song , Kenji Kawaguchi , Zhenya Yan

We introduce a general-purpose framework for interconnecting scientific simulation programs using a homogeneous, unified interface. Our framework is intrinsically parallel, and conveniently separates all component numerical modules in…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Simon Portegies Zwart , Steve McMillan , Arjen van Elteren , Inti Pelupessy , Nathan de Vries

We present the Neural Physics Engine (NPE), a framework for learning simulators of intuitive physics that naturally generalize across variable object count and different scene configurations. We propose a factorization of a physical scene…

Artificial Intelligence · Computer Science 2017-03-07 Michael B. Chang , Tomer Ullman , Antonio Torralba , Joshua B. Tenenbaum

Multi-modal learning has emerged as a key technique for improving performance across domains such as autonomous driving, robotics, and reasoning. However, in certain scenarios, particularly in resource-constrained environments, some…

Robotics · Computer Science 2026-01-01 Rui Liu , Yu Shen , Peng Gao , Pratap Tokekar , Ming Lin

In real-world recommendation scenarios, users engage with items through various types of behaviors. Leveraging diversified user behavior information for learning can enhance the recommendation of target behaviors (e.g., buy), as…

Information Retrieval · Computer Science 2025-02-05 Chenhao Zhai , Chang Meng , Yu Yang , Kexin Zhang , Xuhao Zhao , Xiu Li

Reliability analysis of engineering systems under uncertainty poses significant computational challenges, particularly for problems involving high-dimensional stochastic inputs, nonlinear system responses, and multiphysics couplings.…

Machine Learning · Computer Science 2025-11-11 Shailesh Garg , Souvik Chakraborty

A novel physics-informed operator learning technique based on spectral methods is introduced to model the complex behavior of heterogeneous materials. The Lippmann-Schwinger operator in Fourier space is employed to construct physical…

Materials Science · Physics 2025-06-26 Ali Harandi , Hooman Danesh , Kevin Linka , Stefanie Reese , Shahed Rezaei

Solving cell problems in homogenization is hard, and available deep-learning frameworks fail to match the speed and generality of traditional computational frameworks. More to the point, it is generally unclear what to expect of…

Computational Engineering, Finance, and Science · Computer Science 2025-11-07 Binh Huy Nguyen , Matti Schneider

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

Fluid Dynamics · Physics 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Multimodal human action understanding is a significant problem in computer vision, with the central challenge being the effective utilization of the complementarity among diverse modalities while maintaining model efficiency. However, most…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Hongsong Wang , Heng Fei , Bingxuan Dai , Jie Gui

Neural operators can learn nonlinear mappings between function spaces and offer a new simulation paradigm for real-time prediction of complex dynamics for realistic diverse applications as well as for system identification in science and…

Computational Physics · Physics 2022-03-23 Lu Lu , Xuhui Meng , Shengze Cai , Zhiping Mao , Somdatta Goswami , Zhongqiang Zhang , George Em Karniadakis
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