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Attention layers -- which map a sequence of inputs to a sequence of outputs -- are core building blocks of the Transformer architecture which has achieved significant breakthroughs in modern artificial intelligence. This paper presents a…

Machine Learning · Computer Science 2023-07-24 Hengyu Fu , Tianyu Guo , Yu Bai , Song Mei

In this work, we study how multi-head latent attention (MLA), a popular strategy for compressing key/value memory, affects a transformer's internal capacity during pretraining. Using a lightweight suite of Marchenko-Pastur (MP) diagnostics,…

Machine Learning · Computer Science 2025-07-15 Nandan Kumar Jha , Brandon Reagen

Variants dropout methods have been designed for the fully-connected layer, convolutional layer and recurrent layer in neural networks, and shown to be effective to avoid overfitting. As an appealing alternative to recurrent and…

Computation and Language · Computer Science 2019-07-29 Lin Zehui , Pengfei Liu , Luyao Huang , Junkun Chen , Xipeng Qiu , Xuanjing Huang

Transformers have emerged as a powerful tool for a broad range of natural language processing tasks. A key component that drives the impressive performance of Transformers is the self-attention mechanism that encodes the influence or…

Computation and Language · Computer Science 2021-04-02 Yunyang Xiong , Zhanpeng Zeng , Rudrasis Chakraborty , Mingxing Tan , Glenn Fung , Yin Li , Vikas Singh

Motion representation plays an important role in video understanding and has many applications including action recognition, robot and autonomous guidance or others. Lately, transformer networks, through their self-attention mechanism…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Nattapong Kurpukdee , Adrian G. Bors

We investigate the stability properties of a multi-converter power system model, defined on a high-order manifold. For this, we identify its symmetry (i.e., rotational invariance) generated by a static angle shift and rotation of AC…

Optimization and Control · Mathematics 2022-01-27 Taouba Jouini , Zhiyong Sun

Transformers have emerged as a preferred model for many tasks in natural langugage processing and vision. Recent efforts on training and deploying Transformers more efficiently have identified many strategies to approximate the…

Machine Learning · Computer Science 2022-07-22 Zhanpeng Zeng , Sourav Pal , Jeffery Kline , Glenn M Fung , Vikas Singh

Transformers, which are state-of-the-art in most machine learning tasks, represent the data as sequences of vectors called tokens. This representation is then exploited by the attention function, which learns dependencies between tokens and…

Machine Learning · Computer Science 2025-01-31 Valérie Castin , Pierre Ablin , José Antonio Carrillo , Gabriel Peyré

Attention mechanisms, and most prominently self-attention, are a powerful building block for processing not only text but also images. These provide a parameter efficient method for aggregating inputs. We focus on self-attention in vision…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Nichita Diaconu , Daniel E Worrall

We introduce the SE(3)-Transformer, a variant of the self-attention module for 3D point clouds and graphs, which is equivariant under continuous 3D roto-translations. Equivariance is important to ensure stable and predictable performance in…

Machine Learning · Computer Science 2020-11-26 Fabian B. Fuchs , Daniel E. Worrall , Volker Fischer , Max Welling

Despite the Transformer's dominance across machine learning, its architecture remains largely heuristic and lacks a unified theoretical foundation. We introduce Score-based Variational Flow (SVFlow), a continuous-time dynamical system for…

Machine Learning · Computer Science 2026-04-28 Huadong Liao

We study a random model of deep multi-head self-attention in which the weights are resampled independently across layers and heads, as at initialization of training. Viewing depth as a time variable, the residual stream defines a…

Probability · Mathematics 2026-04-03 Hugo Koubbi , Borjan Geshkovski , Philippe Rigollet

We study how multi-head softmax attention models are trained to perform in-context learning on linear data. Through extensive empirical experiments and rigorous theoretical analysis, we demystify the emergence of elegant attention patterns:…

Machine Learning · Computer Science 2025-05-29 Jianliang He , Xintian Pan , Siyu Chen , Zhuoran Yang

Multimodal learning has gained much success in recent years. However, current multimodal fusion methods adopt the attention mechanism of Transformers to implicitly learn the underlying correlation of multimodal features. As a result, the…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Thanh-Dat Truong , Christophe Bobda , Nitin Agarwal , Khoa Luu

Impressive performance of Transformer has been attributed to self-attention, where dependencies between entire input in a sequence are considered at every position. In this work, we reform the neural $n$-gram model, which focuses on only…

Computation and Language · Computer Science 2022-07-28 Mengsay Loem , Sho Takase , Masahiro Kaneko , Naoaki Okazaki

Simultaneous machine translation models start generating a target sequence before they have encoded or read the source sequence. Recent approaches for this task either apply a fixed policy on a state-of-the art Transformer model, or a…

Computation and Language · Computer Science 2019-09-30 Xutai Ma , Juan Pino , James Cross , Liezl Puzon , Jiatao Gu

Transformer models have emerged as fundamental tools across various scientific and engineering disciplines, owing to their outstanding performance in diverse applications. Despite this empirical success, the theoretical foundations of…

Machine Learning · Computer Science 2026-04-14 Zhen Qin , Jinxin Zhou , Jiachen Jiang , Zhihui Zhu

Self-attention, as the key block of transformers, is a powerful mechanism for extracting features from the inputs. In essence, what self-attention does is to infer the pairwise relations between the elements of the inputs, and modify the…

Machine Learning · Computer Science 2021-03-09 Lemeng Wu , Xingchao Liu , Qiang Liu

Transformers, renowned for their self-attention mechanism, have achieved state-of-the-art performance across various tasks in natural language processing, computer vision, time-series modeling, etc. However, one of the challenges with deep…

Machine Learning · Computer Science 2024-11-04 Jeongwhan Choi , Hyowon Wi , Jayoung Kim , Yehjin Shin , Kookjin Lee , Nathaniel Trask , Noseong Park

The Transformer architecture has become the foundation of modern deep learning, yet its core self-attention mechanism suffers from quadratic computational complexity and lacks grounding in biological neural computation. We propose Selective…

Machine Learning · Computer Science 2026-02-17 Hasi Hays
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