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Geometric diffusion models have shown remarkable success in molecular dynamics and structure generation. However, efficiently fine-tuning them for downstream tasks with varying geometric controls remains underexplored. In this work, we…

Machine Learning · Computer Science 2025-07-04 Wanjia Zhao , Jiaqi Han , Siyi Gu , Mingjian Jiang , James Zou , Stefano Ermon

In many real-world applications of regression, conditional probability estimation, and uncertainty quantification, exploiting symmetries rooted in physics or geometry can dramatically improve generalization and sample efficiency. While…

Machine Learning · Computer Science 2025-05-28 Daniel Ordoñez-Apraez , Vladimir Kostić , Alek Fröhlich , Vivien Brandt , Karim Lounici , Massimiliano Pontil

Invariance under symmetry is an important problem in machine learning. Our paper looks specifically at equivariant neural networks where transformations of inputs yield homomorphic transformations of outputs. Here, steerable CNNs have…

Machine Learning · Computer Science 2021-09-15 Daniel Franzen , Michael Wand

Transformer has recently gained considerable popularity in low-level vision tasks, including image super-resolution (SR). These networks utilize self-attention along different dimensions, spatial or channel, and achieve impressive…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Zheng Chen , Yulun Zhang , Jinjin Gu , Linghe Kong , Xiaokang Yang , Fisher Yu

Autonomous vehicles increasingly rely on cameras to provide the input for perception and scene understanding and the ability of these models to classify their environment and objects, under adverse conditions and image noise is crucial.…

Computer Vision and Pattern Recognition · Computer Science 2021-11-08 Andreas Papachristodoulou , Christos Kyrkou , Theocharis Theocharides

Driving in the dynamic, multi-agent, and complex urban environment is a difficult task requiring a complex decision policy. The learning of such a policy requires a state representation that can encode the entire environment. Mid-level…

Robotics · Computer Science 2020-03-03 Eshagh Kargar , Ville Kyrki

Initially introduced as a machine translation model, the Transformer architecture has now become the foundation for modern deep learning architecture, with applications in a wide range of fields, from computer vision to natural language…

Computation and Language · Computer Science 2024-06-21 Martin Courtois , Malte Ostendorff , Leonhard Hennig , Georg Rehm

This paper presents a differential geometric control approach that leverages SE(3) group invariance and equivariance to increase transferability in learning robot manipulation tasks that involve interaction with the environment.…

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

Driving fatigue is a major contributor to traffic accidents and poses a serious threat to road safety. Electroencephalography (EEG) provides a direct measurement of neural activity, yet EEG-based fatigue recognition is hindered by strong…

Other Computer Science · Computer Science 2026-03-06 Yip Tin Po , Jianming Wang , Yutao Miao , Jiayan Zhang , Yunxu Zhao , Xiaomin Ouyang , Zhihong Li , Nevin L. Zhang

The Transformer architecture has gained growing attention in graph representation learning recently, as it naturally overcomes several limitations of graph neural networks (GNNs) by avoiding their strict structural inductive biases and…

Machine Learning · Statistics 2022-06-14 Dexiong Chen , Leslie O'Bray , Karsten Borgwardt

How can prior knowledge on the transformation invariances of a domain be incorporated into the architecture of a neural network? We propose Equivariant Transformers (ETs), a family of differentiable image-to-image mappings that improve the…

Computer Vision and Pattern Recognition · Computer Science 2019-05-28 Kai Sheng Tai , Peter Bailis , Gregory Valiant

Translation equivariance is a fundamental inductive bias in image restoration, ensuring that translated inputs produce translated outputs. Attention mechanisms in modern restoration transformers undermine this property, adversely impacting…

Computer Vision and Pattern Recognition · Computer Science 2025-06-24 JiaKui Hu , Zhengjian Yao , Lujia Jin , Hangzhou He , Yanye Lu

The field of autonomous vehicles (AVs) predominantly leverages multi-modal integration of LiDAR and camera data to achieve better performance compared to using a single modality. However, the fusion process encounters challenges in…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Sanjay Bhargav Dharavath , Tanmoy Dam , Supriyo Chakraborty , Prithwiraj Roy , Aniruddha Maiti

Predicting the behaviors of other agents on the road is critical for autonomous driving to ensure safety and efficiency. However, the challenging part is how to represent the social interactions between agents and output different possible…

Robotics · Computer Science 2021-09-15 Zhiyu Huang , Xiaoyu Mo , Chen Lv

Forecasting future trajectories of agents in complex traffic scenes requires reliable and efficient predictions for all agents in the scene. However, existing methods for trajectory prediction are either inefficient or sacrifice accuracy.…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Görkay Aydemir , Adil Kaan Akan , Fatma Güney

Rotation equivariance is a desirable property in many practical applications such as motion forecasting and 3D perception, where it can offer benefits like sample efficiency, better generalization, and robustness to input perturbations.…

Computer Vision and Pattern Recognition · Computer Science 2023-01-26 Serge Assaad , Carlton Downey , Rami Al-Rfou , Nigamaa Nayakanti , Ben Sapp

Occluded traffic agents pose a significant challenge for autonomous vehicles, as hidden pedestrians or vehicles can appear unexpectedly, yet this problem remains understudied. Existing learning-based methods, while capable of inferring the…

Robotics · Computer Science 2026-01-30 Anna Rothenhäusler , Markus Mazzola , Andreas Look , Raghu Rajan , Joschka Bödecker

Modeling the complex three-dimensional (3D) dynamics of relational systems is an important problem in the natural sciences, with applications ranging from molecular simulations to particle mechanics. Machine learning methods have achieved…

In many multi-agent spatiotemporal systems, agents operate under the influence of shared, unobserved variables (e.g., the play a team is executing in a game of basketball). As a result, the trajectories of the agents are often statistically…

Machine Learning · Computer Science 2021-09-30 Michael A. Alcorn , Anh Nguyen
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