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We present a convolutional network that is equivariant to rigid body motions. The model uses scalar-, vector-, and tensor fields over 3D Euclidean space to represent data, and equivariant convolutions to map between such representations.…

Machine Learning · Computer Science 2018-10-30 Maurice Weiler , Mario Geiger , Max Welling , Wouter Boomsma , Taco Cohen

Convolutional neural networks (CNNs) with dilated filters such as the Wavenet or the Temporal Convolutional Network (TCN) have shown good results in a variety of sequence modelling tasks. However, efficiently modelling long-term…

Machine Learning · Computer Science 2019-11-18 Daniel Stoller , Mi Tian , Sebastian Ewert , Simon Dixon

Deep learning for predicting the electronic-structure Hamiltonian of quantum systems necessitates satisfying the covariance laws, among which achieving SO(3)-equivariance without sacrificing the non-linear expressive capability of networks…

Computational Physics · Physics 2024-06-25 Shi Yin , Xinyang Pan , Xudong Zhu , Tianyu Gao , Haochong Zhang , Feng Wu , Lixin He

Transformer-based large language models (LLM) have been widely used in language processing applications. However, due to the memory constraints of the devices, most of them restrict the context window. Even though recurrent models in…

Computation and Language · Computer Science 2025-02-07 Zifan He , Yingqi Cao , Zongyue Qin , Neha Prakriya , Yizhou Sun , Jason Cong

This paper presents a framework for learning vision-based robotic policies for contact-rich manipulation tasks that generalize spatially across task configurations. We focus on achieving robust spatial generalization of the policy for the…

Current end-to-end machine reading and question answering (Q\&A) models are primarily based on recurrent neural networks (RNNs) with attention. Despite their success, these models are often slow for both training and inference due to the…

Computation and Language · Computer Science 2018-04-26 Adams Wei Yu , David Dohan , Minh-Thang Luong , Rui Zhao , Kai Chen , Mohammad Norouzi , Quoc V. Le

Long-horizon robotic manipulation tasks require executing multiple interdependent subtasks in strict sequence, where errors in detecting subtask completion can cascade into downstream failures. Existing Vision-Language-Action (VLA) models…

Robotics · Computer Science 2025-09-18 Ran Yang , Zijian An , Lifeng ZHou , Yiming Feng

Despite the successes of deep learning in computer vision, difficulties persist in recognizing objects that have undergone group-symmetric transformations rarely seen during training$\unicode{x2013}$for example objects seen in unusual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Minh Dinh , Stéphane Deny

Convolutional neural networks (CNNs) allow for parameter sharing and translational equivariance by using convolutional kernels in their linear layers. By restricting these kernels to be SO(3)-steerable, CNNs can further improve parameter…

Image and Video Processing · Electrical Eng. & Systems 2024-05-20 Ivan Diaz , Mario Geiger , Richard Iain McKinley

Predicting quantum operator matrices such as Hamiltonian, overlap, and density matrices in the density functional theory (DFT) framework is crucial for material science. Current methods often focus on individual operators and struggle with…

Materials Science · Physics 2025-03-12 Zhanghao Zhouyin , Zixi Gan , MingKang Liu , Shishir Kumar Pandey , Linfeng Zhang , Qiangqiang Gu

Hybrid Transformer architectures, which combine softmax attention blocks and recurrent neural networks (RNNs), have shown a desirable performance-throughput tradeoff for long-context modeling, but their adoption and studies are hindered by…

Computation and Language · Computer Science 2026-01-30 Yingfa Chen , Zhen Leng Thai , Zihan Zhou , Zhu Zhang , Xingyu Shen , Shuo Wang , Chaojun Xiao , Xu Han , Zhiyuan Liu

A truly generalizable approach to rigid segmentation and motion estimation is fundamental to 3D understanding of articulated objects and moving scenes. In view of the closely intertwined relationship between segmentation and motion…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Jia-Xing Zhong , Ta-Ying Cheng , Yuhang He , Kai Lu , Kaichen Zhou , Andrew Markham , Niki Trigoni

Group-equivariant neural networks have emerged as a data-efficient approach to solve classification and regression tasks, while respecting the relevant symmetries of the data. However, little work has been done to extend this paradigm to…

Machine Learning · Computer Science 2023-06-13 Gian Marco Visani , Michael N. Pun , Arman Angaji , Armita Nourmohammad

This paper introduces a novel approach to enhance the capabilities of Large Language Models (LLMs) in processing and understanding extensive text sequences, a critical aspect in applications requiring deep comprehension and synthesis of…

Computation and Language · Computer Science 2023-12-15 Kaiqiang Song , Xiaoyang Wang , Sangwoo Cho , Xiaoman Pan , Dong Yu

Quantum neural network architectures that have little-to-no inductive biases are known to face trainability and generalization issues. Inspired by a similar problem, recent breakthroughs in machine learning address this challenge by…

The quadratic complexity and weak length extrapolation of Transformers limits their ability to scale to long sequences, and while sub-quadratic solutions like linear attention and state space models exist, they empirically underperform…

Machine Learning · Computer Science 2024-04-17 Xuezhe Ma , Xiaomeng Yang , Wenhan Xiong , Beidi Chen , Lili Yu , Hao Zhang , Jonathan May , Luke Zettlemoyer , Omer Levy , Chunting Zhou

In this paper, we tackle the high computational overhead of Transformers for efficient image super-resolution~(SR). Motivated by the observations of self-attention's inter-layer repetition, we introduce a convolutionized self-attention…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Dongheon Lee , Seokju Yun , Youngmin Ro

This article deals with approximating steady-state particle-resolved fluid flow around a fixed particle of interest under the influence of randomly distributed stationary particles in a dispersed multiphase setup using Convolutional Neural…

Fluid Dynamics · Physics 2021-10-25 Bhargav Sriram Siddani , S. Balachandar , Ruogu Fang

Currently, convolutional neural networks (CNN) (e.g., U-Net) have become the de facto standard and attained immense success in medical image segmentation. However, as a downside, CNN based methods are a double-edged sword as they fail to…

Image and Video Processing · Electrical Eng. & Systems 2022-04-01 Reza Azad , Moein Heidari , Yuli Wu , Dorit Merhof

Self-attention model have shown its flexibility in parallel computation and the effectiveness on modeling both long- and short-term dependencies. However, it calculates the dependencies between representations without considering the…

Computation and Language · Computer Science 2019-02-18 Baosong Yang , Jian Li , Derek Wong , Lidia S. Chao , Xing Wang , Zhaopeng Tu