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Graph-based next-step prediction models have recently been very successful in modeling complex high-dimensional physical systems on irregular meshes. However, due to their short temporal attention span, these models suffer from error…

Machine Learning · Computer Science 2022-05-27 Xu Han , Han Gao , Tobias Pfaff , Jian-Xun Wang , Li-Ping Liu

Recovering continuous-time dynamics from discrete observations is difficult because local supervision (e.g., pointwise regression targets, derivative approximations, or equation residuals) loses fidelity as the observation interval grows.…

Machine Learning · Computer Science 2026-05-12 Yuxiang Luo , Andrew Perrault

Time-reversal (TR) symmetry is crucial for understanding a wide range of physical phenomena, and plays a key role in constraining fundamental particle interactions and in classifying phases of quantum matter. In this work, we introduce an…

Statistical Mechanics · Physics 2026-03-23 Kabir Khanna , Abhishek Kumar , Romain Vasseur , Andreas W. W. Ludwig

In this work, we propose an end-to-end graph network that learns forward and inverse models of particle-based physics using interpretable inductive biases. Physics-informed neural networks are often engineered to solve specific problems…

Machine Learning · Computer Science 2022-02-01 Sakthi Kumar Arul Prakash , Conrad Tucker

Achieving high-performance in multi-object tracking algorithms heavily relies on modeling spatio-temporal relationships during the data association stage. Mainstream approaches encompass rule-based and deep learning-based methods for…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zhonglin Liu , Shujie Chen , Jianfeng Dong , Xun Wang , Di Zhou

Neural networks have demonstrated significant potential in solving partial differential equations (PDEs). While global approaches such as Physics-Informed Neural Networks (PINNs) offer promising capabilities, they often lack inherent…

Numerical Analysis · Mathematics 2026-03-24 Zihao Shi , Dongling Wang

Model generalization of the underlying dynamics is critical for achieving data efficiency when learning for robot control. This paper proposes a novel approach for learning dynamics leveraging the symmetry in the underlying robotic system,…

Robotics · Computer Science 2022-10-17 Jee-eun Lee , Jaemin Lee , Tirthankar Bandyopadhyay , Luis Sentis

State-of-the-art reinforcement learning algorithms predominantly learn a policy from either a numerical state vector or images. Both approaches generally do not take structural knowledge of the task into account, which is especially…

Machine Learning · Computer Science 2022-03-14 Marco Oliva , Soubarna Banik , Josip Josifovski , Alois Knoll

We present TANGO (Tensor ANd Graph Optimization), a novel motion planning framework that integrates tensor-based compression with structured graph optimization to enable efficient and scalable trajectory generation. While optimization-based…

Robotics · Computer Science 2026-03-13 Gerhard Reinerth , Riddhiman Laha , Marcello Romano

Reinforcement Learning (RL) in Traffic Signal Control (TSC) faces significant hurdles in real-world deployment due to limited generalization to dynamic traffic flow variations. Existing approaches often overfit static patterns and use…

Artificial Intelligence · Computer Science 2026-03-13 Sheng-You Huang , Hsiao-Chuan Chang , Yen-Chi Chen , Ting-Han Wei , I-Hau Yeh , Sheng-Yao Kuan , Chien-Yao Wang , Hsuan-Han Lee , I-Chen Wu

Learning reduced descriptions of chaotic many-body dynamics is fundamentally challenging: although microscopic equations are Markovian, collective observables exhibit strong memory and exponential sensitivity to initial conditions and…

Computational Physics · Physics 2026-01-28 Ho Jang , Gia-Wei Chern

Contrastive learning, as a self-supervised learning paradigm, becomes popular for Multivariate Time-Series (MTS) classification. It ensures the consistency across different views of unlabeled samples and then learns effective…

Machine Learning · Computer Science 2024-01-11 Yucheng Wang , Yuecong Xu , Jianfei Yang , Min Wu , Xiaoli Li , Lihua Xie , Zhenghua Chen

Time-series imputation benchmarks employ uniform random masking and shape-agnostic metrics (MSE, RMSE), implicitly weighting evaluation by regime prevalence. In systems with a dominant attractor -- homeostatic physiology, nominal industrial…

Machine Learning · Computer Science 2026-02-18 Amirreza Dolatpour Fathkouhi , Alireza Namazi , Heman Shakeri

Graph autoencoders have gained attention in nonlinear reduced-order modeling of parameterized partial differential equations defined on unstructured grids. Despite they provide a geometrically consistent way of treating complex domains,…

Numerical Analysis · Mathematics 2025-12-01 Yuanhong Chen , Federico Pichi , Zhen Gao , Gianluigi Rozza

We discuss a modification to Random Matrix Theory eigenstate statistics, that systematically takes into account the non-universal short-time behavior of chaotic systems. The method avoids diagonalization of the Hamiltonian, instead…

Chaotic Dynamics · Physics 2010-07-27 A. Matthew Smith , Lev Kaplan

Enabling resilient autonomous motion planning requires robust predictions of surrounding road users' future behavior. In response to this need and the associated challenges, we introduce our model titled MTP-GO. The model encodes the scene…

Robotics · Computer Science 2023-12-12 Theodor Westny , Joel Oskarsson , Björn Olofsson , Erik Frisk

In real-world robotics applications, accurate models of robot dynamics are critical for safe and stable control in rapidly changing operational conditions. This motivates the use of machine learning techniques to approximate robot dynamics…

Robotics · Computer Science 2022-01-13 Thai Duong , Nikolay Atanasov

Accurate, interpretable, and real-time modeling of multi-body dynamical systems is essential for predicting behaviors and inferring physical properties in natural and engineered environments. Traditional physics-based models face…

Machine Learning · Computer Science 2025-09-24 Vinay Sharma , Olga Fink

Understanding and interacting with everyday physical scenes requires rich knowledge about the structure of the world, represented either implicitly in a value or policy function, or explicitly in a transition model. Here we introduce a new…

We introduce a data-adaptive inversion method that integrates classical or deep learning-based approaches with iterative graph Laplacian regularization, specifically targeting acoustic impedance inversion - a critical task in seismic…

Numerical Analysis · Mathematics 2025-04-18 Davide Bianchi , Florian Bossmann , Wenlong Wang , Mingming Liu