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Attention is the brain's ability to selectively focus on a few specific aspects while ignoring irrelevant ones. This biological principle inspired the attention mechanism in modern Transformers. Transformers now underpin large language…

神经与进化计算 · 计算机科学 2025-11-19 Kallol Mondal , Ankush Kumar

Understanding and modeling nonlinear dynamical systems is a fundamental challenge across science and engineering. Deep learning has shown remarkable potential for capturing complex system behavior, yet achieving models that are both…

机器学习 · 计算机科学 2026-03-06 Wei Liu , Kiran Bacsa , Loon Ching Tang , Eleni Chatzi

Omnidirectional images and spherical representations of $3D$ shapes cannot be processed with conventional 2D convolutional neural networks (CNNs) as the unwrapping leads to large distortion. Using fast implementations of spherical and…

计算机视觉与模式识别 · 计算机科学 2020-12-09 Suhas Lohit , Shubhendu Trivedi

We formulate an attention mechanism for continuous and ordered sequences that explicitly functions as an alignment model, which serves as the core of many sequence-to-sequence tasks. Standard scaled dot-product attention relies on…

机器学习 · 计算机科学 2025-09-19 Hyungjoon Soh , Junghyo Jo

Self-attention in Transformers relies on globally normalized softmax weights, causing all tokens to compete for influence at every layer. When composed across depth, this interaction pattern induces strong synchronization dynamics that…

机器学习 · 计算机科学 2026-05-26 Jingkun Liu , Yisong Yue , Max Welling , Yue Song

Despite the remarkable empirical performance of Transformers, their theoretical understanding remains elusive. Here, we consider a deep multi-head self-attention network, that is closely related to Transformers yet analytically tractable.…

机器学习 · 计算机科学 2024-12-10 Lorenzo Tiberi , Francesca Mignacco , Kazuki Irie , Haim Sompolinsky

Indoor scene modification has emerged as a prominent area within computer vision, particularly for its applications in Augmented Reality (AR) and Virtual Reality (VR). Traditional methods often rely on pre-existing object databases and…

计算机视觉与模式识别 · 计算机科学 2024-08-13 Yiyang Luo , Ke Lin , Chao Gu

We briefly summarize the kernel regression approach, as used recently in materials modelling, to fitting functions, particularly potential energy surfaces, and highlight how the linear algebra framework can be used to both predict and train…

计算物理 · 物理学 2019-02-05 Michele Ceriotti , Michael J. Willatt , Gábor Csányi

Stochastic configuration networks (SCNs), as a class of randomized learner models, are featured by its way of random parameters assignment in the light of a supervisory mechanism, resulting in the universal approximation property at…

机器学习 · 计算机科学 2024-12-17 Yongxuan Chen , Dianhui Wang

To date, most state-of-the-art sequence modeling architectures use attention to build generative models for language based tasks. Some of these models use all the available sequence tokens to generate an attention distribution which results…

机器学习 · 计算机科学 2020-06-22 Vasileios Lioutas , Yuhong Guo

To overcome the quadratic cost of self-attention, recent works have proposed various sparse attention modules, most of which fall under one of two groups: 1) sparse attention under a hand-crafted patterns and 2) full attention followed by a…

机器学习 · 计算机科学 2022-10-28 Sungjun Cho , Seonwoo Min , Jinwoo Kim , Moontae Lee , Honglak Lee , Seunghoon Hong

Despite their central role in the success of foundational models and large-scale language modeling, the theoretical foundations governing the operation of Transformers remain only partially understood. Contemporary research has largely…

机器学习 · 计算机科学 2025-06-02 Sagar Ghosh , Kushal Bose , Swagatam Das

Kilometer-scale Earth system models are essential for capturing local climate change. However, these models are computationally expensive and produce petabyte-scale outputs, which limits their utility for applications such as probabilistic…

机器学习 · 计算机科学 2026-01-22 Johannes Meuer , Maximilian Witte , Étiénne Plésiat , Thomas Ludwig , Christopher Kadow

Recognizing handwritten mathematical expressions (HMER) is a challenging task due to the inherent two-dimensional structure, varying symbol scales, and complex spatial relationships among symbols. In this paper, we present a self-supervised…

计算机视觉与模式识别 · 计算机科学 2025-09-01 Shree Mitra , Ritabrata Chakraborty , Nilkanta Sahu

Vision-based 3D Semantic Scene Completion (SSC) has received growing attention due to its potential in autonomous driving. While most existing approaches follow an ego-centric paradigm by aggregating and diffusing features over the entire…

计算机视觉与模式识别 · 计算机科学 2025-12-23 Weihua Wang , Yubo Cui , Xiangru Lin , Zhiheng Li , Zheng Fang

Reinforcement Learning with Verifiable Rewards (RLVR) is increasingly viewed as a tree pruning mechanism. However, we identify a systemic pathology termed Recursive Space Contraction (RSC), an irreversible collapse driven by the combined…

人工智能 · 计算机科学 2026-02-06 Tianyi Wang , Long Li , Hongcan Guo , Yibiao Chen , Yixia Li , Yong Wang , Yun Chen , Guanhua Chen

Attention is the crucial cognitive ability that limits and selects what information we observe. Previous work by Bolander et al. (2016) proposes a model of attention based on dynamic epistemic logic (DEL) where agents are either fully…

人工智能 · 计算机科学 2023-05-19 Gaia Belardinelli , Thomas Bolander

Inevitable specular highlights in practical environments severely impair the visual performance, thus degrading the task effectiveness and efficiency. Although there exist considerable methods that focus on local information from…

计算机视觉与模式识别 · 计算机科学 2025-12-05 Tianci Huo , Lingfeng Qi , Yuhan Chen , Qihong Xue , Jinyuan Shao , Hai Yu , Jie Li , Zhanhua Zhang , Guofa Li

3D semantic occupancy prediction, which seeks to provide accurate and comprehensive representations of environment scenes, is important to autonomous driving systems. For autonomous cars equipped with multi-camera and LiDAR, it is critical…

计算机视觉与模式识别 · 计算机科学 2024-11-20 Zhuangwei Zhuang , Ziyin Wang , Sitao Chen , Lizhao Liu , Hui Luo , Mingkui Tan

Any applied mathematical model contains parameters. The paper proposes to use kernel learning for the parametric analysis of the model. The approach consists in setting a distribution on the parameter space, obtaining a finite training…

最优化与控制 · 数学 2025-01-27 Vladimir Norkin , Alois Pichler
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