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We present a differentiable soft-body physics simulator that can be composed with neural networks as a differentiable layer. In contrast to other differentiable physics approaches that use explicit forward models to define state…

Machine Learning · Computer Science 2021-09-13 Junior Rojas , Eftychios Sifakis , Ladislav Kavan

A significant advancement in Neural Network (NN) research is the integration of domain-specific knowledge through custom loss functions. This approach addresses a crucial challenge: how can models utilize physics or mathematical principles…

Machine Learning · Computer Science 2025-03-27 Seyedeh Azadeh Fallah Mortezanejad , Ruochen Wang , Ali Mohammad-Djafari

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

Machine Learning · Statistics 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is particularly relevant in system identification tasks where…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Martine Dyring Hansen , Elena Celledoni , Benjamin Kwanen Tapley

Learning dynamics governing physical and spatiotemporal processes is a challenging problem, especially in scenarios where states are partially measured. In this work, we tackle the problem of learning dynamics governing these systems when…

Machine Learning · Computer Science 2024-12-13 Paul Ghanem , Ahmet Demirkaya , Tales Imbiriba , Alireza Ramezani , Zachary Danziger , Deniz Erdogmus

Physical simulation-based optimization is a common task in science and engineering. Many such simulations produce image- or tensor-based outputs where the desired objective is a function of those outputs, and optimization is performed over…

Machine Learning · Computer Science 2021-12-01 Wesley Maddox , Qing Feng , Max Balandat

The physical sciences are replete with dynamical systems that require the resolution of a wide range of length and time scales. This presents significant computational challenges since direct numerical simulation requires discretization at…

Machine Learning · Computer Science 2025-11-11 Andrew F. Ilersich , Prasanth B. Nair

Physical reasoning is a core aspect of intelligence in animals and humans. A central question is what model should be used as a basis for reasoning. Existing work considered models ranging from intuitive physics and physical simulators to…

Robotics · Computer Science 2020-07-07 Marc Toussaint , Jung-Su Ha , Danny Driess

We propose to use a simulation driven inverse inference approach to model the dynamics of tree branches under manipulation. Learning branch dynamics and gaining the ability to manipulate deformable vegetation can help with occlusion-prone…

Robotics · Computer Science 2023-12-21 Jayadeep Jacob , Tirthankar Bandyopadhyay , Jason Williams , Paulo Borges , Fabio Ramos

We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression…

Fluid Dynamics · Physics 2014-01-17 Gabriel D. Weymouth , Dick K. P. Yue

Recently, physics-driven deep learning methods have shown particular promise for the prediction of physical fields, especially to reduce the dependency on large amounts of pre-computed training data. In this work, we target the…

Fluid Dynamics · Physics 2022-10-12 Hao Ma , Yuxuan Zhang , Nils Thuerey , Xiangyu Hu , Oskar J. Haidn

Cyber-physical space systems are engineered systems operating within physical space with design requirements that depend on space, e.g., regarding location or movement behavior. They are built from and depend upon the seamless integration…

Software Engineering · Computer Science 2020-07-15 Nianyu Li , Christos Tsigkanos , Zhi Jin , Zhenjiang Hu , Carlo Ghezzi

Presenting systems of differential equations in the form of diagrams has become common in certain parts of physics, especially electromagnetism and computational physics. In this work, we aim to put such use of diagrams on a firm…

Mathematical Physics · Physics 2022-06-20 Evan Patterson , Andrew Baas , Timothy Hosgood , James Fairbanks

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

In this paper, we extend and analyze a Bayesian hierarchical spatio-temporal model for physical systems. A novelty is to model the discrepancy between the output of a computer simulator for a physical process and the actual process values…

We introduce physics informed neural networks -- neural networks that are trained to solve supervised learning tasks while respecting any given law of physics described by general nonlinear partial differential equations. In this second…

Artificial Intelligence · Computer Science 2017-11-30 Maziar Raissi , Paris Perdikaris , George Em Karniadakis

Humans possess an exceptional ability to imagine 4D scenes, encompassing both motion and 3D geometry, from a single still image. This ability is rooted in our accumulated observations of similar scenes and an intuitive understanding of…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Emily Yue-Ting Jia , Jiageng Mao , Zhiyuan Gao , Yajie Zhao , Yue Wang

In an industrial group like Safran, numerical simulations of physical phenomena are integral to most design processes. At Safran's corporate research center, we enhance these processes by developing fast and reliable surrogate models for…

Numerical Analysis · Mathematics 2025-02-13 Fabien Casenave

Intelligent agents need a physical understanding of the world to predict the impact of their actions in the future. While learning-based models of the environment dynamics have contributed to significant improvements in sample efficiency…

Machine Learning · Computer Science 2020-05-20 Eric Heiden , David Millard , Hejia Zhang , Gaurav S. Sukhatme

Time-dependent partial differential equations are a significant class of equations that describe the evolution of various physical phenomena over time. One of the open problems in scientific computing is predicting the behaviour of the…

Numerical Analysis · Mathematics 2025-06-30 Zhenyi Zhu , Yuchen Huang , Liu Liu