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相关论文: Understanding Generalization in Physics Informed M…

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Operator inference learns low-dimensional dynamical-system models with polynomial nonlinear terms from trajectories of high-dimensional physical systems (non-intrusive model reduction). This work focuses on the large class of physical…

数值分析 · 数学 2021-07-07 Nihar Sawant , Boris Kramer , Benjamin Peherstorfer

This paper introduces a novel physics-informed impact identification (Phy-ID) framework. The proposed method integrates observational, inductive, and learning biases to combine physical knowledge with data-driven inference in a unified…

Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

机器学习 · 计算机科学 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine

We introduce a physics-informed neural framework for modeling static and time-dependent galactic gravitational potentials. The method combines data-driven learning with embedded physical constraints to capture complex, small-scale features…

星系天体物理 · 物理学 2026-04-02 Charlotte Myers , Nathaniel Starkman , Lina Necib

Reasoning from diverse observations is a fundamental capability for generalist robot policies to operate in a wide range of environments. Despite recent advancements, many large-scale robotic policies still remain sensitive to key sources…

机器人学 · 计算机科学 2025-12-08 Jonathan Yang , Chelsea Finn , Dorsa Sadigh

We propose a methodology that combines generative latent diffusion models with physics-informed machine learning to generate solutions of parametric partial differential equations (PDEs) conditioned on partial observations, which includes,…

机器学习 · 计算机科学 2026-02-11 Davide Gallon , Philippe von Wurstemberger , Patrick Cheridito , Arnulf Jentzen

Inverse design is a central goal in much of science and engineering, including frequency-selective surfaces (FSS) that are critical to microelectronics for telecommunications and optical metamaterials. Traditional surrogate-assisted…

Physics-informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics-informed neural network models suffer from several…

计算工程、金融与科学 · 计算机科学 2022-11-29 Diab W. Abueidda , Seid Koric , Erman Guleryuz , Nahil A. Sobh

A crucial aspect in reliable machine learning is to design a deployable system in generalizing new related but unobserved environments. Domain generalization aims to alleviate such a prediction gap between the observed and unseen…

机器学习 · 计算机科学 2021-06-01 Changjian Shui , Boyu Wang , Christian Gagné

Multimodal learning leverages the integration of diverse data modalities to enhance performance in complex tasks. Yet, it frequently encounters incomplete or redundant modality data in real-world scenarios. This paper presents a…

机器学习 · 计算机科学 2026-05-05 Richeng Zhou , Xuelin Zhang , Liyuan Liu

Physics Informed Neural Networks is a numerical method which uses neural networks to approximate solutions of partial differential equations. It has received a lot of attention and is currently used in numerous physical and engineering…

数值分析 · 数学 2025-07-10 Dimitrios Gazoulis , Ioannis Gkanis , Charalambos G. Makridakis

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

机器学习 · 计算机科学 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven highly effective in several academic cases. However, their…

数值分析 · 数学 2024-10-07 Marien Chenaud , Frédéric Magoulès , José Alves

Physics-informed Machine Learning has recently become attractive for learning physical parameters and features from simulation and observation data. However, most existing methods do not ensure that the physics, such as balance laws (e.g.,…

数值分析 · 数学 2021-09-10 Satish Karra , Bulbul Ahmmed , Maruti K. Mudunuru

In most practical applications such as recommendation systems, display advertising, and so forth, the collected data often contains missing values and those missing values are generally missing-not-at-random, which deteriorates the…

机器学习 · 计算机科学 2024-05-27 Mingming Ha , Xuewen Tao , Wenfang Lin , Qionxu Ma , Wujiang Xu , Linxun Chen

Recent advances of data-driven machine learning have revolutionized fields like computer vision, reinforcement learning, and many scientific and engineering domains. In many real-world and scientific problems, systems that generate data are…

机器学习 · 计算机科学 2023-03-08 Zhongkai Hao , Songming Liu , Yichi Zhang , Chengyang Ying , Yao Feng , Hang Su , Jun Zhu

We investigate a new structure for machine learning classifiers applied to problems in high-energy physics by expanding the inputs to include not only measured features but also physics parameters. The physics parameters represent a…

高能物理 - 实验 · 物理学 2016-05-25 Pierre Baldi , Kyle Cranmer , Taylor Faucett , Peter Sadowski , Daniel Whiteson

Federated edge learning (FEEL) provides a promising foundation for edge artificial intelligence (AI) by enabling collaborative model training while preserving data privacy. However, limited and heterogeneous local datasets, as well as…

机器学习 · 计算机科学 2025-12-01 Xinnong Du , Zhonghao Lyu , Xiaowen Cao , Chunyang Wen , Shuguang Cui , Jie Xu

Data augmentation is one of the most widely used techniques to improve generalization in modern machine learning, often justified by its ability to promote invariance to label-irrelevant transformations. However, its theoretical role…

机器学习 · 计算机科学 2026-02-17 Abdelali Bouyahia , Frédéric LeBlanc , Mario Marchand

When the physics is wrong, physics-informed machine learning becomes physics-misinformed machine learning. A powerful black-box model should not be able to conceal misconceived physics. We propose two criteria that can be used to assert…

机器学习 · 计算机科学 2024-10-10 Simon Kuang , Xinfan Lin