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State-of-the-art deep learning systems often require large amounts of data and computation. For this reason, leveraging known or unknown structure of the data is paramount. Convolutional neural networks (CNNs) are successful examples of…

Computer Vision and Pattern Recognition · Computer Science 2020-12-07 Carlos Esteves

Manipulation has long been a challenging task for robots, while humans can effortlessly perform complex interactions with objects, such as hanging a cup on the mug rack. A key reason is the lack of a large and uniform dataset for teaching…

Robotics · Computer Science 2025-06-09 Hongyan Zhi , Peihao Chen , Siyuan Zhou , Yubo Dong , Quanxi Wu , Lei Han , Mingkui Tan

Embodied agents operate in a structured world, often solving tasks with spatial, temporal, and permutation symmetries. Most algorithms for planning and model-based reinforcement learning (MBRL) do not take this rich geometric structure into…

Machine Learning · Computer Science 2023-10-20 Johann Brehmer , Joey Bose , Pim de Haan , Taco Cohen

Incorporating symmetries can lead to highly data-efficient and generalizable models by defining equivalence classes of data samples related by transformations. However, characterizing how transformations act on input data is often…

Machine Learning · Computer Science 2022-07-04 Jung Yeon Park , Ondrej Biza , Linfeng Zhao , Jan Willem van de Meent , Robin Walters

Generative modeling seeks to uncover the underlying factors that give rise to observed data that can often be modeled as the natural symmetries that manifest themselves through invariances and equivariances to certain transformation laws.…

Machine Learning · Computer Science 2022-08-16 Avishek Joey Bose , Marcus Brubaker , Ivan Kobyzev

Normalizing flows are a class of deep generative models that are especially interesting for modeling probability distributions in physics, where the exact likelihood of flows allows reweighting to known target energy functions and computing…

Machine Learning · Statistics 2023-11-27 Leon Klein , Andreas Krämer , Frank Noé

In this work, we propose a novel transformation for events from an event camera that is equivariant to optical flow under convolutions in the 3-D spatiotemporal domain. Events are generated by changes in the image, which are typically due…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Alex Zihao Zhu , Ziyun Wang , Kostas Daniilidis

Recent advances in deep learning and Transformers have driven major breakthroughs in robotics by employing techniques such as imitation learning, reinforcement learning, and LLM-based multimodal perception and decision-making. However,…

Temporally consistent video-to-video generation is critical for applications such as style transfer and upsampling. In this paper, we provide a theoretical analysis of warped noise - a recently proposed technique for training video…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Chao Liu , Arash Vahdat

Embodied navigation in open, dynamic environments demands accurate foresight of how the world will evolve and how actions will unfold over time. We propose AstraNav-World, an end-to-end world model that jointly reasons about future visual…

Computer Vision and Pattern Recognition · Computer Science 2026-04-09 Jintao Chen , Junjun Hu , Haochen Bai , Minghua Luo , Xinda Xue , Botao Ren , Chengyu Bai , Shichao Xie , Ziyi Chen , Fei Liu , Zedong Chu , Xiaolong Wu , Mu Xu , Shanghang Zhang

World models learn to predict future states of an environment, enabling planning and mental simulation. Current approaches default to Transformer-based predictors operating in learned latent spaces. This comes at a cost: O(N^2) computation…

Machine Learning · Computer Science 2026-03-24 Fabien Polly

Enabling embodied agents to imagine future states is essential for robust and generalizable visual navigation. Yet, state-of-the-art systems typically rely on modular designs that decouple navigation planning from visual world modeling,…

Artificial Intelligence · Computer Science 2026-03-24 Yifei Dong , Fengyi Wu , Guangyu Chen , Lingdong Kong , Xu Zhu , Qiyu Hu , Yuxuan Zhou , Jingdong Sun , Jun-Yan He , Qi Dai , Alexander G. Hauptmann , Zhi-Qi Cheng

Equivariant neural networks provide a principled framework for incorporating symmetry into learning architectures and have been extensively analyzed through the lens of their separation power, that is, the ability to distinguish inputs…

Machine Learning · Computer Science 2026-02-04 Marco Pacini , Gabriele Santin , Bruno Lepri , Shubhendu Trivedi

Imitation learning has emerged as a promising approach towards building generalist robots. However, scaling imitation learning for large robot foundation models remains challenging due to its reliance on high-quality expert demonstrations.…

Robotics · Computer Science 2025-05-26 Chuning Zhu , Raymond Yu , Siyuan Feng , Benjamin Burchfiel , Paarth Shah , Abhishek Gupta

Autonomous agents operating in dynamic and safety-critical environments require decision-making frameworks that are both computationally efficient and physically grounded. However, many existing approaches rely on end-to-end learning, which…

Machine Learning · Computer Science 2026-05-01 Zhaowen Fan , Rongchao Zhang

Equivariance of neural networks to transformations helps to improve their performance and reduce generalization error in computer vision tasks, as they apply to datasets presenting symmetries (e.g. scalings, rotations, translations). The…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Cross-embodiment learning seeks to build generalist robots that operate across diverse morphologies, but differences in action spaces and kinematics hinder data sharing and policy transfer. This raises a central question: Is there any…

Robotics · Computer Science 2025-11-11 Zihao He , Bo Ai , Tongzhou Mu , Yulin Liu , Weikang Wan , Jiawei Fu , Yilun Du , Henrik I. Christensen , Hao Su

Learning representations through deep generative modeling is a powerful approach for dynamical modeling to discover the most simplified and compressed underlying description of the data, to then use it for other tasks such as prediction.…

Machine Learning · Computer Science 2022-03-01 Bahar Azari , Deniz Erdoğmuş

Normalizing flows have shown great success as general-purpose density estimators. However, many real world applications require the use of domain-specific knowledge, which normalizing flows cannot readily incorporate. We propose…

Machine Learning · Statistics 2022-03-17 Gianluigi Silvestri , Emily Fertig , Dave Moore , Luca Ambrogioni

Flow-based models have proven successful for time-series generation, particularly when defined in lower-dimensional latent spaces that enable efficient sampling. However, how to design latent representations with desirable equivariance…

Machine Learning · Computer Science 2026-02-02 Camilo Carvajal Reyes , Felipe Tobar