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Incorporating group symmetries via equivariance into neural networks has emerged as a robust approach for overcoming the efficiency and data demands of modern deep learning. While most existing approaches, such as group convolutions and…

Systems of interacting objects often evolve under the influence of field effects that govern their dynamics, yet previous works have abstracted away from such effects, and assume that systems evolve in a vacuum. In this work, we focus on…

Machine Learning · Computer Science 2024-03-21 Miltiadis Kofinas , Erik J. Bekkers , Naveen Shankar Nagaraja , Efstratios Gavves

The performance of flow matching and diffusion models can be greatly improved at inference time using reward alignment algorithms, yet efficiency remains a major limitation. While several algorithms were proposed, we demonstrate that a…

Machine Learning · Computer Science 2026-02-12 Peter Holderrieth , Uriel Singer , Tommi Jaakkola , Ricky T. Q. Chen , Yaron Lipman , Brian Karrer

Spatiotemporal flows govern diverse phenomena across physics, biology, and engineering, yet modelling their multiscale dynamics remains a central challenge. Despite major advances in physics-informed machine learning, existing approaches…

Group Convolutional Neural Networks (G-CNNs) constrain learned features to respect the symmetries in the selected group, and lead to better generalization when these symmetries appear in the data. If this is not the case, however,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 David W. Romero , Suhas Lohit

Legged locomotion over various terrains is challenging and requires precise perception of the robot and its surroundings from both proprioception and vision. However, learning directly from high-dimensional visual input is often…

Robotics · Computer Science 2024-09-26 Hang Lai , Jiahang Cao , Jiafeng Xu , Hongtao Wu , Yunfeng Lin , Tao Kong , Yong Yu , Weinan Zhang

World models have gained significant attention as a promising approach for autonomous driving. By emulating human-like perception and decision-making processes, these models can predict and adapt to dynamic environments. Existing methods…

Robotics · Computer Science 2025-12-03 Huiqian Li , Wei Pan , Haodong Zhang , Jin Huang , Zhihua Zhong

Recently, a variety of new equivariant neural network model architectures have been proposed that generalize better over rotational and reflectional symmetries than standard models. These models are relevant to robotics because many…

Robotics · Computer Science 2021-11-01 Dian Wang , Robin Walters , Xupeng Zhu , Robert Platt

In the pursuit of autonomous learning systems, the foundational assumption of stationarity, the premise that data distributions and model behaviors remain constant, is fundamentally untenable. Historically, the research community has…

Machine Learning · Computer Science 2026-05-05 Xiaoyu Yang , En Yu , Jie Lu

We demonstrate several techniques to encourage practical uses of neural networks for fluid flow estimation. In the present paper, three perspectives which are remaining challenges for applications of machine learning to fluid dynamics are…

Fluid Dynamics · Physics 2022-05-19 Masaki Morimoto , Kai Fukami , Kai Zhang , Koji Fukagata

Modeling continuous-time dynamics from sparse and irregularly-sampled time series remains a fundamental challenge. Neural controlled differential equations provide a principled framework for such tasks, yet their performance is highly…

Machine Learning · Computer Science 2026-04-03 YongKyung Oh , Dong-Young Lim , Sungil Kim

Embodied world models have emerged as a promising paradigm in robotics, most of which leverage large-scale Internet videos or pretrained video generation models to enrich visual and motion priors. However, they still face key challenges: a…

Robotics · Computer Science 2026-02-04 Yixiang Chen , Peiyan Li , Jiabing Yang , Keji He , Xiangnan Wu , Yuan Xu , Kai Wang , Jing Liu , Nianfeng Liu , Yan Huang , Liang Wang

Graph-structured data jointly contain discrete topology and continuous geometry, which poses fundamental challenges for generative modeling due to heterogeneous distributions, incompatible noise dynamics, and the need for equivariant…

Machine Learning · Computer Science 2026-04-10 Rongjian Xu , Teng Pang , Zhiqiang Dong , Guoqiang Wu

We propose a new class of waveform foundation models that departs from conventional sequence based representations by modeling physiological time series as realizations of latent event processes. Rather than treating signals as collections…

Machine Learning · Computer Science 2026-05-12 Li Na , Yuanyun Zhang , Shi Li

In reinforcement learning (RL), exploiting environmental symmetries can significantly enhance efficiency, robustness, and performance. However, ensuring that the deep RL policy and value networks are respectively equivariant and invariant…

Machine Learning · Computer Science 2024-12-31 Mirco Theile , Hongpeng Cao , Marco Caccamo , Alberto L. Sangiovanni-Vincentelli

Event cameras have the potential to capture continuous motion information over time and space, making them well-suited for optical flow estimation. However, most existing learning-based methods for event-based optical flow adopt frame-based…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Zuntao Liu , Hao Zhuang , Junjie Jiang , Yuhang Song , Zheng Fang

In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear flow dynamics is studied, where the dynamics is regarded as…

Numerical Analysis · Mathematics 2025-09-12 Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Eduardo Gildin , Yating Wang , Jingyan Zhang

While model-based reinforcement learning (MBRL) improves sample efficiency by learning world models from raw observations, existing methods struggle to generalize across structurally similar scenes and remain vulnerable to spurious…

Machine Learning · Computer Science 2026-01-28 Zhao-Han Peng , Shaohui Li , Zhi Li , Shulan Ruan , Yu Liu , You He

Equivariant neural networks are designed to respect symmetries through their architecture, boosting generalization and sample efficiency when those symmetries are present in the data distribution. Real-world data, however, often departs…

Machine Learning · Computer Science 2025-12-12 Andrei Manolache , Luiz F. O. Chamon , Mathias Niepert

Text Worlds are virtual environments for embodied agents that, unlike 2D or 3D environments, are rendered exclusively using textual descriptions. These environments offer an alternative to higher-fidelity 3D environments due to their low…

Computation and Language · Computer Science 2021-07-12 Peter A Jansen
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