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相关论文: Distilling Governing Laws and Source Input for Dyn…

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Distilling analytical models from data has the potential to advance our understanding and prediction of nonlinear dynamics. Although discovery of governing equations based on observed system states (e.g., trajectory time series) has…

机器学习 · 计算机科学 2021-06-10 Lele Luan , Yang Liu , Hao Sun

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,…

机器学习 · 计算机科学 2021-04-27 Yayati Jadhav , Amir Barati Farimani

Data-driven discovery of governing equations has kindled significant interests in many science and engineering areas. Existing studies primarily focus on uncovering equations that govern nonlinear dynamics based on direct measurement of the…

计算机视觉与模式识别 · 计算机科学 2024-04-30 Zitong Zhang , Yang Liu , Hao Sun

Discovering physical laws directly from high-dimensional visual data is a long-standing human pursuit but remains a formidable challenge for machines, representing a fundamental goal of scientific intelligence. This task is inherently…

计算工程、金融与科学 · 计算机科学 2026-02-24 Ruikun Li , Jun Yao , Yingfan Hua , Shixiang Tang , Biqing Qi , Bin Liu , Wanli Ouyang , Yan Lu

Harnessing data to discover the underlying governing laws or equations that describe the behavior of complex physical systems can significantly advance our modeling, simulation and understanding of such systems in various science and…

机器学习 · 计算机科学 2021-11-17 Zhao Chen , Yang Liu , Hao Sun

In this paper, we teach a machine to discover the laws of physics from video streams. We assume no prior knowledge of physics, beyond a temporal stream of bounding boxes. The problem is very difficult because a machine must learn not only a…

计算机视觉与模式识别 · 计算机科学 2019-11-28 Pradyumna Chari , Chinmay Talegaonkar , Yunhao Ba , Achuta Kadambi

Learning a physical model from video data that can comprehend physical laws and predict the future trajectories of objects is a formidable challenge in artificial intelligence. Prior approaches either leverage various Partial Differential…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Nengbo Lu , Minghua Pan

The ability to discover physical laws and governing equations from data is one of humankind's greatest intellectual achievements. A quantitative understanding of dynamic constraints and balances in nature has facilitated rapid development…

动力系统 · 数学 2016-04-27 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Modeling complex physical dynamics is a fundamental task in science and engineering. Traditional physics-based models are sample efficient, and interpretable but often rely on rigid assumptions. Furthermore, direct numerical approximation…

机器学习 · 计算机科学 2023-03-02 Rui Wang , Rose Yu

Video representation learning has recently attracted attention in computer vision due to its applications for activity and scene forecasting or vision-based planning and control. Video prediction models often learn a latent representation…

计算机视觉与模式识别 · 计算机科学 2020-09-18 Rama Krishna Kandukuri , Jan Achterhold , Michael Möller , Jörg Stückler

We present a method for unsupervised learning of equations of motion for objects in raw and optionally distorted unlabeled video. We first train an autoencoder that maps each video frame into a low-dimensional latent space where the laws of…

计算机视觉与模式识别 · 计算机科学 2021-04-28 Silviu-Marian Udrescu , Max Tegmark

Extracting physical dynamical system parameters from recorded observations is key in natural science. Current methods for automatic parameter estimation from video train supervised deep networks on large datasets. Such datasets require…

计算机视觉与模式识别 · 计算机科学 2025-03-25 Alejandro Castañeda Garcia , Jan van Gemert , Daan Brinks , Nergis Tömen

We propose a model that is able to perform unsupervised physical parameter estimation of systems from video, where the differential equations governing the scene dynamics are known, but labeled states or objects are not available. Existing…

计算机视觉与模式识别 · 计算机科学 2020-04-22 Miguel Jaques , Michael Burke , Timothy Hospedales

Discovering the governing laws underpinning physical and chemical phenomena is a key step towards understanding and ultimately controlling systems in science and engineering. We introduce Discovery of Dynamical Systems via Moving Horizon…

动力系统 · 数学 2022-08-31 Fernando Lejarza , Michael Baldea

Machine learning recently has been used to identify the governing equations for dynamics in physical systems. The promising results from applications on systems such as fluid dynamics and chemical kinetics inspire further investigation of…

系统与控制 · 电气工程与系统科学 2019-07-19 Renganathan Subramanian , Shweta Singh

Recently, dataset distillation has paved the way towards efficient machine learning, especially for image datasets. However, the distillation for videos, characterized by an exclusive temporal dimension, remains an underexplored domain. In…

计算机视觉与模式识别 · 计算机科学 2024-04-16 Ziyu Wang , Yue Xu , Cewu Lu , Yong-Lu Li

Dynamical systems form the foundation of scientific discovery, traditionally modeled with predefined state variables such as the angle and angular velocity, and differential equations such as the equation of motion for a single pendulum. We…

系统与控制 · 电气工程与系统科学 2025-04-25 Kuang Huang , Dong Heon Cho , Boyuan Chen

Accurately simulating existing 3D objects and a wide variety of materials often demands expert knowledge and time-consuming physical parameter tuning to achieve the desired dynamic behavior. We introduce MotionPhysics, an end-to-end…

计算机视觉与模式识别 · 计算机科学 2026-01-05 Miaowei Wang , Jakub Zadrożny , Oisin Mac Aodha , Amir Vaxman

All physical laws are described as relationships between state variables that give a complete and non-redundant description of the relevant system dynamics. However, despite the prevalence of computing power and AI, the process of…

动力系统 · 数学 2021-12-21 Boyuan Chen , Kuang Huang , Sunand Raghupathi , Ishaan Chandratreya , Qiang Du , Hod Lipson

Traditional fluid dynamics simulation pipelines combine numerical solvers with rendering, producing highly realistic results but at considerable computational cost. Diffusion-based generative video models offer a faster alternative, yet…

图形学 · 计算机科学 2026-03-18 Yang Bai , George Eskandar , Ziyuan Liu , Gitta Kutyniok
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