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We propose a new volumetric grasp model that is equivariant to rotations around the vertical axis, leading to a significant improvement in sampling efficiency. Our model employs a tri-plane volumetric feature representation -- i.e., the…

Robotics · Computer Science 2026-05-12 Pinhao Song , Yutong Hu , Pengteng Li , Renaud Detry

The global attention mechanism is one of the keys to the success of transformer architecture, but it incurs quadratic computational costs in relation to the number of tokens. On the other hand, equivariant models, which leverage the…

Machine Learning · Computer Science 2025-09-30 Owen Lewis Howell , Linfeng Zhao , Xupeng Zhu , Yaoyao Qian , Haojie Huang , Lingfeng Sun , Wil Thomason , Robert Platt , Robin Walters

Rotational symmetry plays a central role in physics, providing an elegant framework to describe how the properties of 3D objects -- from atoms to the macroscopic scale -- transform under the action of rigid rotations. Equivariant models of…

Chemical Physics · Physics 2025-10-28 Michelangelo Domina , Filippo Bigi , Paolo Pegolo , Michele Ceriotti

Treatment effect estimation, which refers to the estimation of causal effects and aims to measure the strength of the causal relationship, is of great importance in many fields but is a challenging problem in practice. As present,…

Machine Learning · Computer Science 2021-07-20 Zhenyu Guo , Shuai Zheng , Zhizhe Liu , Kun Yan , Zhenfeng Zhu

While self-attention has been instrumental in the success of Transformers, it can lead to over-concentration on a few tokens during training, resulting in suboptimal information flow. Enforcing doubly-stochastic constraints in attention…

Machine Learning · Computer Science 2025-07-15 Ashkan Shahbazi , Elaheh Akbari , Darian Salehi , Xinran Liu , Navid Naderializadeh , Soheil Kolouri

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

Object pose estimation is a long-standing problem in computer vision. Recently, attention-based vision transformer models have achieved state-of-the-art results in many computer vision applications. Exploiting the permutation-invariant…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Arul Selvam Periyasamy , Vladimir Tsaturyan , Sven Behnke

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

Objects' rigid motions in 3D space are described by rotations and translations of a highly-correlated set of points, each with associated $x,y,z$ coordinates that real-valued networks consider as separate entities, losing information.…

Artificial Intelligence · Computer Science 2023-10-12 Guilherme Vieira , Eleonora Grassucci , Marcos Eduardo Valle , Danilo Comminiello

Recent attempts at introducing rotation invariance or equivariance in 3D deep learning approaches have shown promising results, but these methods still struggle to reach the performances of standard 3D neural networks. In this work we study…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Hugues Thomas

One of the most discussed issues in graph generative modeling is the ordering of the representation. One solution consists of using equivariant generative functions, which ensure the ordering invariance. After having discussed some…

Machine Learning · Computer Science 2021-12-08 Yoann Boget , Magda Gregorova , Alexandros Kalousis

We propose a novel framework, Continuous_Time Attention, which infuses partial differential equations (PDEs) into the Transformer's attention mechanism to address the challenges of extremely long input sequences. Instead of relying solely…

Machine Learning · Computer Science 2025-12-30 Yukun Zhang , Xueqing Zhou

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

Vision Transformers are very popular nowadays due to their state-of-the-art performance in several computer vision tasks, such as image classification and action recognition. Although their performance has been greatly enhanced through…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Dimitrios Konstantinidis , Ilias Papastratis , Kosmas Dimitropoulos , Petros Daras

Attention mechanism has become the dominant module in natural language processing models. It is computationally intensive and depends on massive power-hungry multiplications. In this paper, we rethink variants of attention mechanism from…

Computation and Language · Computer Science 2022-10-20 Yu Wan , Baosong Yang , Dayiheng Liu , Rong Xiao , Derek F. Wong , Haibo Zhang , Boxing Chen , Lidia S. Chao

Computational methods that operate on three-dimensional molecular structure have the potential to solve important questions in biology and chemistry. In particular, deep neural networks have gained significant attention, but their…

Learning to predict agent motions with relationship reasoning is important for many applications. In motion prediction tasks, maintaining motion equivariance under Euclidean geometric transformations and invariance of agent interaction is a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Chenxin Xu , Robby T. Tan , Yuhong Tan , Siheng Chen , Yu Guang Wang , Xinchao Wang , Yanfeng Wang

We introduce $\pi^3$, a feed-forward neural network that offers a novel approach to visual geometry reconstruction, breaking the reliance on a conventional fixed reference view. Previous methods often anchor their reconstructions to a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yifan Wang , Jianjun Zhou , Haoyi Zhu , Wenzheng Chang , Yang Zhou , Zizun Li , Junyi Chen , Jiangmiao Pang , Chunhua Shen , Tong He

Transformers have achieved remarkable success in sequence modeling and beyond but suffer from quadratic computational and memory complexities with respect to the length of the input sequence. Leveraging techniques include sparse and linear…

Machine Learning · Computer Science 2022-08-02 Tan Nguyen , Richard G. Baraniuk , Robert M. Kirby , Stanley J. Osher , Bao Wang

In this paper, we propose a self-interpretable model SITE with transformation-equivariant interpretations. We focus on the robustness and self-consistency of the interpretations of geometric transformations. Apart from the transformation…

Computer Vision and Pattern Recognition · Computer Science 2021-11-10 Yipei Wang , Xiaoqian Wang
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