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While the basic laws of Newtonian mechanics are well understood, explaining a physical scenario still requires manually modeling the problem with suitable equations and estimating the associated parameters. In order to be able to leverage…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Sebastien Ehrhardt , Aron Monszpart , Niloy Mitra , Andrea Vedaldi

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

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

An artificial neural network architecture, parameterization networks, is proposed for simulating extrapolated dynamics beyond observed data in dynamical systems. Parameterization networks are used to ensure the long term integrity of…

Chaotic Dynamics · Physics 2019-03-21 James P. L. Tan

Many machine/deep learning artificial neural networks are trained to simply be interpolation functions that map input variables to output values interpolated from the training data in a linear/nonlinear fashion. Even when the input/output…

Computational Physics · Physics 2020-03-18 Zhenglin Geng , Dan Johnson , Ronald Fedkiw

We present a novel architecture named Neural Physicist (NeurPhy) to learn physical dynamics directly from image sequences using deep neural networks. For any physical system, given the global system parameters, the time evolution of states…

Machine Learning · Computer Science 2020-06-11 Baocheng Zhu , Shijun Wang , James Zhang

While learning models of intuitive physics is an increasingly active area of research, current approaches still fall short of natural intelligences in one important regard: they require external supervision, such as explicit access to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-01 Sebastien Ehrhardt , Aron Monszpart , Niloy Mitra , Andrea Vedaldi

Extrapolation -- the ability to make inferences that go beyond the scope of one's experiences -- is a hallmark of human intelligence. By contrast, the generalization exhibited by contemporary neural network algorithms is largely limited to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Taylor W. Webb , Zachary Dulberg , Steven M. Frankland , Alexander A. Petrov , Randall C. O'Reilly , Jonathan D. Cohen

When using recurrent neural networks (RNNs) it is common practice to apply trained models to sequences longer than those seen in training. This "extrapolating" usage deviates from the traditional statistical learning setup where guarantees…

Machine Learning · Computer Science 2022-03-25 Edo Cohen-Karlik , Avichai Ben David , Nadav Cohen , Amir Globerson

The goal of this paper is to determine the laws of observed trajectories assuming that there is a mechanical system in the background and using these laws to continue the observed motion in a plausible way. The laws are represented by…

Machine Learning · Computer Science 2022-07-27 Antal Jakovac , Marcell T. Kurbucz , Peter Posfay

By adopting a perspective informed by contemporary liquid state theory, we consider how to train an artificial neural network potential to describe inhomogeneous, disordered systems. We find that neural network potentials based on local…

Chemical Physics · Physics 2021-11-10 Samuel P. Niblett , Mirza Galib , David T. Limmer

One significant simplification in most previous work on robot learning is the closed-world assumption where the robot is assumed to know ahead of time a complete set of predicates describing the state of the physical world. However, robots…

Artificial Intelligence · Computer Science 2017-10-10 Qiaozi Gao , Lanbo She , Joyce Y. Chai

Neural networks leverage robust internal representations in order to generalise. Learning them is difficult, and often requires a large training set that covers the data distribution densely. We study a common setting where our task is not…

Motivated by the remarkable success of Foundation Models (FMs) in language modeling, there has been growing interest in developing FMs for time series prediction, given the transformative power such models hold for science and engineering.…

Machine Learning · Computer Science 2025-11-18 Ramzi Dakhmouche , Hossein Gorji

Artificial Neural Networks (ANNs) implement a specific form of multi-variate extrapolation and will generate an output for any input pattern, even when there is no similar training pattern. Extrapolations are not necessarily to be trusted,…

Machine Learning · Statistics 2020-02-27 Neil A. Thacker , Carole J. Twining , Paul D. Tar , Scott Notley , Visvanathan Ramesh

The ability to store and manipulate information is a hallmark of computational systems. Whereas computers are carefully engineered to represent and perform mathematical operations on structured data, neurobiological systems perform…

Disordered Systems and Neural Networks · Physics 2020-05-05 Jason Z. Kim , Zhixin Lu , Erfan Nozari , George J. Pappas , Danielle S. Bassett

Recent work suggests that certain neural network architectures -- particularly recurrent neural networks (RNNs) and implicit neural networks (INNs) -- are capable of logical extrapolation. When trained on easy instances of a task, these…

Neural networks have emerged as a powerful way to approach many practical problems in quantum physics. In this work, we illustrate the power of deep learning to predict the dynamics of a quantum many-body system, where the training is…

Deep learning has achieved astonishing results on many tasks with large amounts of data and generalization within the proximity of training data. For many important real-world applications, these requirements are unfeasible and additional…

Machine Learning · Computer Science 2019-07-11 Michael Lutter , Christian Ritter , Jan Peters

Determining the different conformational states of a protein and the transition paths between them is key to fully understanding the relationship between biomolecular structure and function. This can be accomplished by sampling protein…

Biological Physics · Physics 2021-03-24 Venkata K. Ramaswamy , Chris G. Willcocks , Matteo T. Degiacomi
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