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When Physics Meets Machine Learning: A Survey of Physics-Informed Machine Learning

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arxiv 2203.16797 v1 pith:WMMRWFGS submitted 2022-03-31 cs.LG stat.ML

classification cs.LGstat.ML
keywords pimllearningmachinephysicsknowledgemodelsphysics-informedsurvey
verification ladder T0 review T1 audit T2 compute T3 formal
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Physics-informed machine learning (PIML), referring to the combination of prior knowledge of physics, which is the high level abstraction of natural phenomenons and human behaviours in the long history, with data-driven machine learning models, has emerged as an effective way to mitigate the shortage of training data, to increase models' generalizability and to ensure the physical plausibility of results. In this paper, we survey an abundant number of recent works in PIML and summarize them from three aspects: (1) motivations of PIML, (2) physics knowledge in PIML, (3) methods of physics knowledge integration in PIML. We also discuss current challenges and corresponding research opportunities in PIML.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 58 citations worldwide. Full citation record

  1. SlotPi: Physics-informed Object-centric Reasoning Models

    cs.CV 2025-06 conditional novelty 5.0 of 10

    SlotPi combines a learned Hamiltonian energy module with spatiotemporal attention to improve object-centric video prediction and visual question answering on several datasets.

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