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Transformer models have been successful in various sequence processing tasks, but the self-attention mechanism's computational cost limits its practicality for long sequences. Although there are existing attention variants that improve…

Machine Learning · Computer Science 2024-04-19 Zicheng Liu , Li Wang , Siyuan Li , Zedong Wang , Haitao Lin , Stan Z. Li

Neural networks that are equivariant to rotations, translations, reflections, and permutations on n-dimensional geometric space have shown promise in physical modeling for tasks such as accurately but inexpensively modeling complex…

Machine Learning · Computer Science 2023-01-25 Yuanqing Wang , John D. Chodera

Analyzing scalar and vector fields on the sphere, such as temperature or wind speed and direction on Earth, is a difficult task. Models should respect both the rotational symmetries of the sphere and the inherent symmetries of the vector…

Machine Learning · Computer Science 2026-04-01 Francesco Ballerin , Nello Blaser , Erlend Grong

The analysis of long sequence data remains challenging in many real-world applications. We propose a novel architecture, ChunkFormer, that improves the existing Transformer framework to handle the challenges while dealing with long time…

Machine Learning · Computer Science 2022-01-03 Yue Ju , Alka Isac , Yimin Nie

This work explores the challenge of building ``Machines that Can Remember'', framing long-term memory as the problem of efficient ultra-long context modeling. We argue that this requires three key properties: \textbf{sparsity},…

Computation and Language · Computer Science 2025-12-01 Xiang Hu , Zhanchao Zhou , Ruiqi Liang , Zehuan Li , Wei Wu , Jianguo Li

We argue that neither transformers nor sub-quadratic architectures are well suited to training at long sequence lengths: the cost of processing the context is too expensive in the former, too inexpensive in the latter. Approaches such as…

Machine Learning · Computer Science 2025-07-08 Carles Gelada , Jacob Buckman , Sean Zhang , Txus Bach

We present a novel approach to neural response prediction that incorporates higher-order operations directly within convolutional neural networks (CNNs). Our model extends traditional 3D CNNs by embedding higher-order operations within the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Simone Azeglio , Victor Calbiague Garcia , Guilhem Glaziou , Peter Neri , Olivier Marre , Ulisse Ferrari

Analyzing volumetric data with rotational invariance or equivariance is an active topic in current research. Existing deep-learning approaches utilize either group convolutional networks limited to discrete rotations or steerable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Dmitrii Zhemchuzhnikov , Sergei Grudinin

Learning about the three-dimensional world from two-dimensional images is a fundamental problem in computer vision. An ideal neural network architecture for such tasks would leverage the fact that objects can be rotated and translated in…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Owen Howell , David Klee , Ondrej Biza , Linfeng Zhao , Robin Walters

Regular group convolutional neural networks (G-CNNs) have been shown to increase model performance and improve equivariance to different geometrical symmetries. This work addresses the problem of SE(3), i.e., roto-translation equivariance,…

Computer Vision and Pattern Recognition · Computer Science 2023-07-21 Thijs P. Kuipers , Erik J. Bekkers

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

Attention based models have achieved many remarkable breakthroughs in numerous applications. However, the quadratic complexity of Attention makes the vanilla Attention based models hard to apply to long sequence tasks. Various improved…

Machine Learning · Computer Science 2024-09-18 Xue Wang , Tian Zhou , Jianqing Zhu , Jialin Liu , Kun Yuan , Tao Yao , Wotao Yin , Rong Jin , HanQin Cai

Medical image segmentation has seen significant improvements with transformer models, which excel in grasping far-reaching contexts and global contextual information. However, the increasing computational demands of these models,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Reza Azad , Leon Niggemeier , Michael Huttemann , Amirhossein Kazerouni , Ehsan Khodapanah Aghdam , Yury Velichko , Ulas Bagci , Dorit Merhof

Human motion modeling is a classic problem in computer vision and graphics. Challenges in modeling human motion include high dimensional prediction as well as extremely complicated dynamics.We present a novel approach to human motion…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Chen Li , Zhen Zhang , Wee Sun Lee , Gim Hee Lee

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

Riemannian metrics on the position-orientation space M(3) that are roto-translation group SE(3) invariant play a key role in image analysis tasks like enhancement, denoising, and segmentation. These metrics enable roto-translation…

Differential Geometry · Mathematics 2025-07-04 Gijs Bellaard , Bart M. N. Smets

Shape assembly aims to reassemble parts (or fragments) into a complete object, which is a common task in our daily life. Different from the semantic part assembly (e.g., assembling a chair's semantic parts like legs into a whole chair),…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Ruihai Wu , Chenrui Tie , Yushi Du , Yan Zhao , Hao Dong

Sequence classification has a wide range of real-world applications in different domains, such as genome classification in health and anomaly detection in business. However, the lack of explicit features in sequence data makes it difficult…

Machine Learning · Computer Science 2023-06-19 Khaled Mohammed Saifuddin , Corey May , Farhan Tanvir , Muhammad Ifte Khairul Islam , Esra Akbas

Since self-attention layers in Transformers are permutation invariant by design, positional encodings must be explicitly incorporated to enable spatial understanding. However, fixed-size lookup tables used in traditional learnable position…

Machine Learning · Computer Science 2025-06-18 Huayang Li , Yahui Liu , Hongyu Sun , Deng Cai , Leyang Cui , Wei Bi , Peilin Zhao , Taro Watanabe

Handling long-context sequences efficiently remains a significant challenge in large language models (LLMs). Existing methods for token selection in sequence extrapolation either employ a permanent eviction strategy or select tokens by…

Computation and Language · Computer Science 2025-02-21 Haoyu Wang , Tong Teng , Tianyu Guo , An Xiao , Duyu Tang , Hanting Chen , Yunhe Wang