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Processing spatial data is a key component in many learning tasks for autonomous driving such as motion forecasting, multi-agent simulation, and planning. Prior works have demonstrated the value in using SE(2) invariant network…

Machine Learning · Computer Science 2025-07-25 Ethan Pronovost , Neha Boloor , Peter Schleede , Noureldin Hendy , Andres Morales , Nicholas Roy

In autonomous driving, deep learning enabled motion prediction is a popular topic. A critical gap in traditional motion prediction methodologies lies in ensuring equivariance under Euclidean geometric transformations and maintaining…

Robotics · Computer Science 2025-08-05 Yuping Wang , Jier Chen

We introduce the SE(3)-Transformer, a variant of the self-attention module for 3D point clouds and graphs, which is equivariant under continuous 3D roto-translations. Equivariance is important to ensure stable and predictable performance in…

Machine Learning · Computer Science 2020-11-26 Fabian B. Fuchs , Daniel E. Worrall , Volker Fischer , Max Welling

Forecasting vehicular motions in autonomous driving requires a deep understanding of agent interactions and the preservation of motion equivariance under Euclidean geometric transformations. Traditional models often lack the sophistication…

Robotics · Computer Science 2025-08-05 Yuping Wang , Jier Chen

Planning the trajectory of the controlled ego vehicle is a key challenge in automated driving. As for human drivers, predicting the motions of surrounding vehicles is important to plan the own actions. Recent motion prediction methods…

Robotics · Computer Science 2024-03-19 Steffen Hagedorn , Marcel Milich , Alexandru P. Condurache

Transformer architectures can effectively learn language-conditioned, multi-task 3D open-loop manipulation policies from demonstrations by jointly processing natural language instructions and 3D observations. However, although both the…

Robotics · Computer Science 2025-05-28 Xupeng Zhu , Yu Qi , Yizhe Zhu , Robin Walters , Robert Platt

Encoding a driving scene into vector representations has been an essential task for autonomous driving that can benefit downstream tasks e.g. trajectory prediction. The driving scene often involves heterogeneous elements such as the…

Artificial Intelligence · Computer Science 2023-07-21 Xiaosong Jia , Penghao Wu , Li Chen , Yu Liu , Hongyang Li , Junchi Yan

End-to-end autonomous driving (E2E-AD) has emerged as a trend in the field of autonomous driving, promising a data-driven, scalable approach to system design. However, existing E2E-AD methods usually adopt the sequential paradigm of…

Machine Learning · Computer Science 2025-07-14 Xiaosong Jia , Junqi You , Zhiyuan Zhang , Junchi Yan

We introduce an $E(n)$-equivariant Transformer architecture for spatio-temporal graph data. By imposing rotation, translation, and permutation equivariance inductive biases in both space and time, we show that the Spacetime…

Machine Learning · Computer Science 2024-08-13 Sergio G. Charles

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,…

Robust multi-agent trajectory prediction is essential for the safe control of robotic systems. A major challenge is to efficiently learn a representation that approximates the true joint distribution of contextual, social, and temporal…

Many robot manipulation tasks can be framed as geometric reasoning tasks, where an agent must be able to precisely manipulate an object into a position that satisfies the task from a set of initial conditions. Often, task success is defined…

Robotics · Computer Science 2024-04-23 Ben Eisner , Yi Yang , Todor Davchev , Mel Vecerik , Jonathan Scholz , David Held

Perceiving and reconstructing 3D scene geometry from visual inputs is crucial for autonomous driving. However, there still lacks a driving-targeted dense geometry perception model that can adapt to different scenarios and camera…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Sicheng Zuo , Zixun Xie , Wenzhao Zheng , Shaoqing Xu , Fang Li , Shengyin Jiang , Long Chen , Zhi-Xin Yang , Jiwen Lu

Group equivariance (e.g. SE(3) equivariance) is a critical physical symmetry in science, from classical and quantum physics to computational biology. It enables robust and accurate prediction under arbitrary reference transformations. In…

Computational Engineering, Finance, and Science · Computer Science 2023-02-08 Weitao Du , He Zhang , Yuanqi Du , Qi Meng , Wei Chen , Bin Shao , Tie-Yan Liu

Equivariant neural networks enforce symmetry within the structure of their convolutional layers, resulting in a substantial improvement in sample efficiency when learning an equivariant or invariant function. Such models are applicable to…

Robotics · Computer Science 2022-03-10 Dian Wang , Robin Walters , Robert Platt

Vision Transformer (ViT) has achieved remarkable performance in computer vision. However, positional encoding in ViT makes it substantially difficult to learn the intrinsic equivariance in data. Initial attempts have been made on designing…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Renjun Xu , Kaifan Yang , Ke Liu , Fengxiang He

Intrinsically, driving is a Markov Decision Process which suits well the reinforcement learning paradigm. In this paper, we propose a novel agent which learns to drive a vehicle without any human assistance. We use the concept of…

Robotics · Computer Science 2019-04-30 Shashank Kotyan , Danilo Vasconcellos Vargas , Venkanna U

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

When manipulating three-dimensional data, it is possible to ensure that rotational and translational symmetries are respected by applying so-called SE(3)-equivariant models. Protein structure prediction is a prominent example of a task…

Machine Learning · Computer Science 2021-03-17 Fabian B. Fuchs , Edward Wagstaff , Justas Dauparas , Ingmar Posner

3D object detection received increasing attention in autonomous driving recently. Objects in 3D scenes are distributed with diverse orientations. Ordinary detectors do not explicitly model the variations of rotation and reflection…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Hai Wu , Chenglu Wen , Wei Li , Xin Li , Ruigang Yang , Cheng Wang
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