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A shape sensitive, variational approach for the matching of surfaces considered as thin elastic shells is investigated. The elasticity functional to be minimized takes into account two different types of nonlinear energies: a membrane…

Optimization and Control · Mathematics 2021-06-09 José A. Iglesias , Martin Rumpf , Otmar Scherzer

The attention interaction matrix $QK^{\top}$ contains two entangled computations: a skew-symmetric component that redistributes information between positions (routing) and a symmetric component that scales mutual relevance (filtering). We…

Machine Learning · Computer Science 2026-05-20 Shafayeth Jamil , Rehan Kapadia

Accurate lithology identification from well logs is crucial for subsurface resource evaluation. Although Transformer-based models excel at sequence modeling, their "black-box" nature and lack of geological guidance limit their performance…

Machine Learning · Computer Science 2026-03-11 Jie Li , Qishun Yang , Nuo Li

Transformer models have achieved remarkable results in a wide range of applications. However, their scalability is hampered by the quadratic time and memory complexity of the self-attention mechanism concerning the sequence length. This…

Machine Learning · Computer Science 2024-02-27 Yury Nahshan , Joseph Kampeas , Emir Haleva

Geometry-aware optimizers such as Newton and natural gradient can improve conditioning in deep learning, but scalable variants such as K-FAC, Shampoo, and related preconditioners usually impose structural approximations early, often…

Machine Learning · Computer Science 2026-05-07 Simon Dufort-Labbé , Pierre-Luc Bacon , Razvan Pascanu , Simon Lacoste-Julien , Aristide Baratin

Transformer-based models are not efficient in processing long sequences due to the quadratic space and time complexity of the self-attention modules. To address this limitation, Linformer and Informer are proposed to reduce the quadratic…

Machine Learning · Computer Science 2021-12-13 Yifan Chen , Qi Zeng , Dilek Hakkani-Tur , Di Jin , Heng Ji , Yun Yang

Accurate channel prediction is essential for addressing channel aging caused by user mobility. However, the actual channel variations over time are highly complex in high-mobility scenarios, which makes it difficult for existing predictors…

Signal Processing · Electrical Eng. & Systems 2024-12-24 Jinke Li , Jieao Zhu , Linglong Dai

This paper introduces Stress-Aware Learning, a resilient neural training paradigm in which deep neural networks dynamically adjust their optimization behavior - whether under stable training regimes or in settings with uncertain dynamics -…

Machine Learning · Computer Science 2025-08-04 Ashkan Shakarami , Yousef Yeganeh , Azade Farshad , Lorenzo Nicole , Stefano Ghidoni , Nassir Navab

Spherical Sliced-Wasserstein (SSW) has recently been proposed to measure the discrepancy between spherical data distributions in various fields, such as geology, medical domains, computer vision, and deep representation learning. However,…

Machine Learning · Computer Science 2024-12-30 Hongliang Zhang , Shuo Chen , Lei Luo , Jian Yang

The extension of convolutional neural networks (CNNs) to non-Euclidean geometries has led to multiple frameworks for studying manifolds. Many of those methods have shown design limitations resulting in poor modelling of long-range…

Computer Vision and Pattern Recognition · Computer Science 2024-06-06 Simon Dahan , Abdulah Fawaz , Logan Z. J. Williams , Chunhui Yang , Timothy S. Coalson , Matthew F. Glasser , A. David Edwards , Daniel Rueckert , Emma C. Robinson

Saliency computation models aim to imitate the attention mechanism in the human visual system. The application of deep neural networks for saliency prediction has led to a drastic improvement over the last few years. However, deep models…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Saman Zabihi , Hamed Rezazadegan Tavakoli , Ali Borji

To improve the robustness of transformer neural networks used for temporal-dynamics prediction of chaotic systems, we propose a novel attention mechanism called easy attention which we demonstrate in time-series reconstruction and…

Machine Learning · Computer Science 2025-06-05 Marcial Sanchis-Agudo , Yuning Wang , Roger Arnau , Luca Guastoni , Jasmin Lim , Karthik Duraisamy , Ricardo Vinuesa

The quadratic complexity of softmax attention presents a major obstacle for scaling Transformers to high-resolution vision tasks. Existing linear attention variants often replace the softmax with Gaussian kernels to reduce complexity, but…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Zhe Feng , Sen Lian , Changwei Wang , Muyang Zhang , Tianlong Tan , Rongtao Xu , Weiliang Meng , Xiaopeng Zhang

Spatial and channel attentions, modelling the semantic interdependencies in spatial and channel dimensions respectively, have recently been widely used for semantic segmentation. However, computing spatial and channel attentions separately…

Computer Vision and Pattern Recognition · Computer Science 2021-09-14 Ye Huang , Di Kang , Wenjing Jia , Xiangjian He , Liu Liu

Visual attention mechanisms have proven to be integrally important constituent components of many modern deep neural architectures. They provide an efficient and effective way to utilize visual information selectively, which has shown to be…

Computer Vision and Pattern Recognition · Computer Science 2019-05-24 Siddhesh Khandelwal , Leonid Sigal

This article introduces a spherical latent space model for social network analysis, embedding actors on a hypersphere rather than in Euclidean space as in standard latent space models. The spherical geometry facilitates the representation…

Methodology · Statistics 2025-08-25 Juan Sosa , Carlos Nosa

Egocentric videos provide comprehensive contexts for user and scene understanding, spanning multisensory perception to behavioral interaction. We propose Spherical World-Locking (SWL) as a general framework for egocentric scene…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Heeseung Yun , Ruohan Gao , Ishwarya Ananthabhotla , Anurag Kumar , Jacob Donley , Chao Li , Gunhee Kim , Vamsi Krishna Ithapu , Calvin Murdock

The present work proposes a Deep Learning architecture for the prediction of various consumer choice behaviors from time series of raw gaze or eye fixations on images of the decision environment, for which currently no foundational models…

Neural and Evolutionary Computing · Computer Science 2025-08-07 Moshe Unger , Alexander Tuzhilin , Michel Wedel

Action recognition with 3D skeleton sequences is becoming popular due to its speed and robustness. The recently proposed Convolutional Neural Networks (CNN) based methods have shown good performance in learning spatio-temporal…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 Zhengyuan Yang , Yuncheng Li , Jianchao Yang , Jiebo Luo

This paper proposes a novel simultaneous localization and mapping (SLAM) approach, namely Attention-SLAM, which simulates human navigation mode by combining a visual saliency model (SalNavNet) with traditional monocular visual SLAM. Most…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Jinquan Li , Ling Pei , Danping Zou , Songpengcheng Xia , Qi Wu , Tao Li , Zhen Sun , Wenxian Yu
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