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Transformers have significantly advanced the field of natural language processing, but comprehending their internal mechanisms remains a challenge. In this paper, we introduce a novel geometric perspective that elucidates the inner…

计算与语言 · 计算机科学 2023-09-20 Raul Molina

Despite the great success of Transformer networks in various applications such as natural language processing and computer vision, their theoretical aspects are not well understood. In this paper, we study the approximation and estimation…

机器学习 · 计算机科学 2024-03-26 Shokichi Takakura , Taiji Suzuki

In this paper, we share our reflections and insights on understanding Transformer architectures through the lens of associative memory--a classic psychological concept inspired by human cognition. We start with the basics of associative…

机器学习 · 计算机科学 2025-05-27 Shu Zhong , Mingyu Xu , Tenglong Ao , Guang Shi

Differentiable Neural Computers (DNCs) were introduced as recurrent architectures equipped with an addressable external memory supporting differentiable read and write operations. Transformers, in contrast, are nominally feedforward…

计算与语言 · 计算机科学 2026-03-23 Bo Tang , Weiwei Xie

Several non-linear operators in stochastic analysis, such as solution maps to stochastic differential equations, depend on a temporal structure which is not leveraged by contemporary neural operators designed to approximate general maps…

动力系统 · 数学 2025-04-11 Luca Galimberti , Anastasis Kratsios , Giulia Livieri

The quadratic complexity of dot-product attention introduced in Transformer remains a fundamental bottleneck impeding the progress of foundation models toward unbounded context lengths. Addressing this challenge, we introduce the Deep…

机器学习 · 计算机科学 2025-09-03 Yifan Zhang

In this paper we delve deep in the Transformer architecture by investigating two of its core components: self-attention and contextual embeddings. In particular, we study the identifiability of attention weights and token embeddings, and…

计算与语言 · 计算机科学 2020-02-10 Gino Brunner , Yang Liu , Damián Pascual , Oliver Richter , Massimiliano Ciaramita , Roger Wattenhofer

Transformer architecture has become ubiquitous in the natural language processing field. To interpret the Transformer-based models, their attention patterns have been extensively analyzed. However, the Transformer architecture is not only…

计算与语言 · 计算机科学 2021-09-16 Goro Kobayashi , Tatsuki Kuribayashi , Sho Yokoi , Kentaro Inui

Transformers serve as the foundational architecture for large language and video generation models, such as GPT, BERT, SORA and their successors. Empirical studies have demonstrated that real-world data and learning tasks exhibit…

机器学习 · 计算机科学 2026-05-19 Zhaiming Shen , Alex Havrilla , Rongjie Lai , Alexander Cloninger , Wenjing Liao

Transformer is a new kind of neural architecture which encodes the input data as powerful features via the attention mechanism. Basically, the visual transformers first divide the input images into several local patches and then calculate…

计算机视觉与模式识别 · 计算机科学 2021-10-27 Kai Han , An Xiao , Enhua Wu , Jianyuan Guo , Chunjing Xu , Yunhe Wang

The self-attention mechanism, a cornerstone of Transformer-based state-of-the-art deep learning architectures, is largely heuristic-driven and fundamentally challenging to interpret. Establishing a robust theoretical foundation to explain…

计算机视觉与模式识别 · 计算机科学 2026-02-10 Laziz U. Abdullaev , Maksim Tkachenko , Tan M. Nguyen

The Transformer architecture has inarguably revolutionized deep learning, overtaking classical architectures like multi-layer perceptrons (MLPs) and convolutional neural networks (CNNs). At its core, the attention block differs in form and…

机器学习 · 计算机科学 2025-03-18 Weronika Ormaniec , Felix Dangel , Sidak Pal Singh

Despite the remarkable success of transformer-based models in various real-world tasks, their underlying mechanisms remain poorly understood. Recent studies have suggested that transformers can implement gradient descent as an in-context…

机器学习 · 计算机科学 2024-08-09 Xingwu Chen , Lei Zhao , Difan Zou

Transformer, first applied to the field of natural language processing, is a type of deep neural network mainly based on the self-attention mechanism. Thanks to its strong representation capabilities, researchers are looking at ways to…

计算机视觉与模式识别 · 计算机科学 2023-07-11 Kai Han , Yunhe Wang , Hanting Chen , Xinghao Chen , Jianyuan Guo , Zhenhua Liu , Yehui Tang , An Xiao , Chunjing Xu , Yixing Xu , Zhaohui Yang , Yiman Zhang , Dacheng Tao

The recent rise of generative artificial intelligence (AI), powered by Transformer networks, has achieved remarkable success in natural language processing, computer vision, and graphics. However, the application of Transformers in…

图形学 · 计算机科学 2025-09-01 Qiang Zou , Lizhen Zhu

Attention mechanisms have become a popular component in deep neural networks, yet there has been little examination of how different influencing factors and methods for computing attention from these factors affect performance. Toward a…

计算机视觉与模式识别 · 计算机科学 2019-04-15 Xizhou Zhu , Dazhi Cheng , Zheng Zhang , Stephen Lin , Jifeng Dai

Since its introduction in 2017, Transformer has emerged as the leading neural network architecture, catalyzing revolutionary advancements in many AI disciplines. The key innovation in Transformer is a Self-Attention (SA) mechanism designed…

机器学习 · 计算机科学 2024-02-05 Yueyao Yu , Yin Zhang

The Transformer model is widely used in various application areas of machine learning, such as natural language processing. This paper investigates the approximation of the H\"older continuous function class…

机器学习 · 计算机科学 2025-04-21 Yuling Jiao , Yanming Lai , Yang Wang , Bokai Yan

Currently, this paper is under review in IEEE. Transformers have intrigued the vision research community with their state-of-the-art performance in natural language processing. With their superior performance, transformers have found their…

计算机视觉与模式识别 · 计算机科学 2022-10-05 Preetam Ghosh , Swalpa Kumar Roy , Bikram Koirala , Behnood Rasti , Paul Scheunders

The dot product attention mechanism, originally designed for natural language processing tasks, is a cornerstone of modern Transformers. It adeptly captures semantic relationships between word pairs in sentences by computing a similarity…

无序系统与神经网络 · 物理学 2025-01-14 Riccardo Rende , Luciano Loris Viteritti