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In this paper, we study the challenging problem of predicting the dynamics of objects in static images. Given a query object in an image, our goal is to provide a physical understanding of the object in terms of the forces acting upon it…

Computer Vision and Pattern Recognition · Computer Science 2015-11-13 Roozbeh Mottaghi , Hessam Bagherinezhad , Mohammad Rastegari , Ali Farhadi

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

This work considers identifying parameters characterizing a physical system's dynamic motion directly from a video whose rendering configurations are inaccessible. Existing solutions require massive training data or lack generalizability to…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Pingchuan Ma , Tao Du , Joshua B. Tenenbaum , Wojciech Matusik , Chuang Gan

Generating accurate and efficient predictions for the motion of the humans present in the scene is key to the development of effective motion planning algorithms for robots moving in promiscuous areas, where wrong planning decisions could…

In this paper, we propose a novel conservative formulation for solving kinetic equations via neural networks. More precisely, we formulate the learning problem as a constrained optimization problem with constraints that represent the…

Numerical Analysis · Mathematics 2021-06-24 Hyung Ju Hwang , Hwijae Son

We study the relativistic Euler equations on the Minkowski spacetime background. We make assumptions on the equation of state and the initial data that are relativistic analogs of the well-known physical vacuum boundary condition, which has…

Analysis of PDEs · Mathematics 2015-11-25 Mahir Hadzic , Steve Shkoller , Jared Speck

Spatiotemporal prediction is important in solving natural problems and processing video frames, especially in weather forecasting and human action recognition. Recent advances attempt to incorporate prior physical knowledge into the deep…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Xuanle Zhao , Yue Sun , Ziyi Wang , Bo Xu , Tielin Zhang

It is well known that the equations of motion obtained from Newtons second law of motion can be obtained from a Lagrangian via the Euler-Lagrangian formulation if and only if the equations of motion satisfy the Helmholtz conditions. In this…

Mathematical Physics · Physics 2016-02-08 Kushagra Nigam , Kinjal Banerjee

Recent video diffusion models can synthesize visually compelling clips, yet often violate basic physical laws-objects float, accelerations drift, and collisions behave inconsistently-revealing a persistent gap between visual realism and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Minh-Quan Le , Yuanzhi Zhu , Vicky Kalogeiton , Dimitris Samaras

We introduce a novel self-supervised learning approach to learn representations of videos that are responsive to changes in the motion dynamics. Our representations can be learned from data without human annotation and provide a substantial…

Computer Vision and Pattern Recognition · Computer Science 2020-07-22 Simon Jenni , Givi Meishvili , Paolo Favaro

The ability to model the underlying dynamics of visual scenes and reason about the future is central to human intelligence. Many attempts have been made to empower intelligent systems with such physical understanding and prediction…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Huilin Xu , Tao Chen , Feng Xu

We review the problem of defining and inferring a "state" for a control system based on complex, high-dimensional, highly uncertain measurement streams such as videos. Such a state, or representation, should contain all and only the…

Machine Learning · Statistics 2017-11-10 Alessandro Achille , Stefano Soatto

Accurate video prediction by deep neural networks, especially for dynamic regions, is a challenging task in computer vision for critical applications such as autonomous driving, remote working, and telemedicine. Due to inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Kazuki Kotoyori , Shota Hirose , Heming Sun , Jiro Katto

Humans can often predict physical outcomes after only a few observations, a capability known as physical intuition. The mechanisms underlying this efficient learning remain elusive. Here, we introduce a variational learning framework in…

Computational Physics · Physics 2026-03-19 Jingruo Peng , Shuze Zhu

The article introduces a method to learn dynamical systems that are governed by Euler--Lagrange equations from data. The method is based on Gaussian process regression and identifies continuous or discrete Lagrangians and is, therefore,…

Numerical Analysis · Mathematics 2025-07-01 Christian Offen

Videos provide a rich source of information, but it is generally hard to extract dynamical parameters of interest. Inferring those parameters from a video stream would be beneficial for physical reasoning. Robots performing tasks in dynamic…

In many real-world settings, image observations of freely rotating 3D rigid bodies, such as satellites, may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Leonard

Manipulating deformable objects is a ubiquitous task in household environments, demanding adequate representation and accurate dynamics prediction due to the objects' infinite degrees of freedom. This work proposes DeformNet, which utilizes…

Robotics · Computer Science 2024-02-13 Chenchang Li , Zihao Ai , Tong Wu , Xiaosa Li , Wenbo Ding , Huazhe Xu

Identifying underlying governing equations and physical relevant information from high-dimensional observable data has always been a challenge in physical sciences. With the recent advances in sensing technology and available datasets,…

Machine Learning · Computer Science 2021-04-27 Yayati Jadhav , Amir Barati Farimani

Pervasive across diverse domains, stochastic systems exhibit fluctuations in processes ranging from molecular dynamics to climate phenomena. The Langevin equation has served as a common mathematical model for studying such systems, enabling…

Statistical Mechanics · Physics 2025-05-01 Youngkyoung Bae , Seungwoong Ha , Hawoong Jeong