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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 two part…

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

Photoelastic techniques have a long tradition in both qualitative and quantitative analysis of the stresses in granular materials. Over the last two decades, computational methods for reconstructing forces between particles from their…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Renat Sergazinov , Miroslav Kramar

The rapid development of machine learning (ML) and artificial intelligence (AI) applications requires the training of large numbers of models. This growing demand highlights the importance of training models without human supervision, while…

Machine Learning · Computer Science 2025-05-26 Alexey Boldyrev , Fedor Ratnikov , Andrey Shevelev

Artificial neural networks (NNs) are one of the most frequently used machine learning approaches to construct interatomic potentials and enable efficient large-scale atomistic simulations with almost ab initio accuracy. However, the…

Computational Physics · Physics 2021-10-05 Viktor Zaverkin , David Holzmüller , Ingo Steinwart , Johannes Kästner

Evolution has resulted in highly developed abilities in many natural intelligences to quickly and accurately predict mechanical phenomena. Humans have successfully developed laws of physics to abstract and model such mechanical phenomena.…

Artificial Intelligence · Computer Science 2017-03-02 Sebastien Ehrhardt , Aron Monszpart , Niloy J. Mitra , Andrea Vedaldi

Deep neural networks are traditionally trained using human-designed stochastic optimization algorithms, such as SGD and Adam. Recently, the approach of learning to optimize network parameters has emerged as a promising research topic.…

Machine Learning · Computer Science 2018-11-26 Shipeng Wang , Jian Sun , Zongben Xu

Exact numerical simulations of dynamics of open quantum systems often require immense computational resources. We demonstrate that a deep artificial neural network comprised of convolutional layers is a powerful tool for predicting…

Computational Physics · Physics 2020-12-22 Luis E. Herrera Rodriguez , Alexei A. Kananenka

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

Computational Engineering, Finance, and Science · Computer Science 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

The internet serves as a common source of training data for generative AI (genAI) models but is increasingly populated with AI-generated content. This duality raises the possibility that future genAI models may be trained on other models'…

Machine Learning · Computer Science 2025-10-03 Hung Anh Vu , Galen Reeves , Emily Wenger

When encountering novel objects, humans are able to infer a wide range of physical properties such as mass, friction and deformability by interacting with them in a goal driven way. This process of active interaction is in the same spirit…

Machine Learning · Statistics 2017-08-21 Misha Denil , Pulkit Agrawal , Tejas D Kulkarni , Tom Erez , Peter Battaglia , Nando de Freitas

We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network…

Machine Learning · Computer Science 2023-08-09 Vedanta Thapar

Machine Learning is a powerful tool to reveal and exploit correlations in a multi-dimensional parameter space. Making predictions from such correlations is a highly non-trivial task, in particular when the details of the underlying dynamics…

High Energy Physics - Phenomenology · Physics 2019-01-30 Christoph Englert , Peter Galler , Philip Harris , Michael Spannowsky

In order for agents trained by deep reinforcement learning to work alongside humans in realistic settings, we will need to ensure that the agents are \emph{robust}. Since the real world is very diverse, and human behavior often changes in…

Machine Learning · Computer Science 2021-01-15 Paul Knott , Micah Carroll , Sam Devlin , Kamil Ciosek , Katja Hofmann , A. D. Dragan , Rohin Shah

We present a machine learning framework capable of consistently inferring mathematical expressions of hyperelastic energy functionals for incompressible materials from sparse experimental data and physical laws. To achieve this goal, we…

Computational Engineering, Finance, and Science · Computer Science 2024-02-13 Bahador Bahmani , WaiChing Sun

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

Estimating the parameters of a model describing a set of observations using a neural network is in general solved in a supervised way. In cases when we do not have access to the model's true parameters this approach can not be applied.…

Astrophysics of Galaxies · Physics 2020-09-30 Miguel A. Aragon-Calvo

Wearable physiological signals exhibit strong nonlinear and subject-dependent behavior, challenging traditional linear models. This study provides a unified evaluation of cognitive load, stress, and physical exercise recognition using three…

Signal Processing · Electrical Eng. & Systems 2025-12-09 Khondakar Ashik Shahriar

Neural networks (NN) have been recently applied together with evolutionary algorithms (EAs) to solve dynamic optimization problems. The applied NN estimates the position of the next optimum based on the previous time best solutions. After…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Maryam Hasani-Shoreh , Renato Hermoza Aragonés , Frank Neumann

The limited size of pain datasets are a challenge in developing robust deep learning models for pain recognition. Transfer learning approaches are often employed in these scenarios. In this study, we investigate whether deep learned feature…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Pooja Prajod , Dominik Schiller , Daksitha Withanage Don , Elisabeth André

For more than 100 years, chemical, physical, and material scientists have proposed competing constitutive models to best characterize the behavior of natural and man-made materials in response to mechanical loading. Now, computer science…

Machine Learning · Computer Science 2022-11-23 Kevin Linka , Ellen Kuhl