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Transformer based models have shown remarkable capabilities in sequence learning across a wide range of tasks, often performing well on specific task by leveraging input-output examples. Despite their empirical success, a comprehensive…

机器学习 · 计算机科学 2025-06-03 Yifan Hao , Chenlu Ye , Chi Han , Tong Zhang

Transformers have revolutionized deep learning in numerous fields, including natural language processing, computer vision, and audio processing. Their strength lies in their attention mechanism, which allows for the discovering of complex…

机器学习 · 计算机科学 2024-04-02 Uladzislau Yorsh , Martin Holeňa , Ondřej Bojar , David Herel

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

机器学习 · 计算机科学 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

Large language models exhibit sophisticated capabilities, yet understanding how they work internally remains a central challenge. A fundamental obstacle is that training selects for behavior, not circuitry, so many weight configurations can…

机器学习 · 计算机科学 2026-02-27 Joshua S. Schiffman

Transformers have recently revolutionized many domains in modern machine learning and one salient discovery is their remarkable in-context learning capability, where models can solve an unseen task by utilizing task-specific prompts without…

机器学习 · 计算机科学 2023-10-10 Yu Huang , Yuan Cheng , Yingbin Liang

Advancing the frontier of subquadratic architectures for Language Models (LMs) is crucial in the rapidly evolving field of natural language processing. Current innovations, including State Space Models, were initially celebrated for…

Transformers are built upon multi-head scaled dot-product attention and positional encoding, which aim to learn the feature representations and token dependencies. In this work, we focus on enhancing the distinctive representation by…

计算机视觉与模式识别 · 计算机科学 2022-07-12 Litao Yu , Jian Zhang

Transformers are extremely successful machine learning models whose mathematical properties remain poorly understood. Here, we rigorously characterize the behavior of transformers with hardmax self-attention and normalization sublayers as…

计算与语言 · 计算机科学 2026-05-14 Albert Alcalde , Giovanni Fantuzzi , Enrique Zuazua

The Transformer architecture has achieved tremendous success in natural language processing, computer vision, and scientific computing through its self-attention mechanism. However, its core components-positional encoding and attention…

机器学习 · 计算机科学 2025-11-13 Xianshuai Shi , Jianfeng Zhu , Leibo Liu

Large language models based on the Transformer architecture have demonstrated impressive capabilities to learn in context. However, existing theoretical studies on how this phenomenon arises are limited to the dynamics of a single layer of…

机器学习 · 统计学 2024-06-04 Juno Kim , Taiji Suzuki

Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties. In this paper we discuss how the theory of reproducing kernel Banach spaces can be used to tackle this challenge. In…

机器学习 · 统计学 2021-10-27 Francesca Bartolucci , Ernesto De Vito , Lorenzo Rosasco , Stefano Vigogna

Many neural network architectures are known to be Turing Complete, and can thus, in principle implement arbitrary algorithms. However, Transformers are unique in that they can implement gradient-based learning algorithms under simple…

机器学习 · 计算机科学 2024-06-05 Xiang Cheng , Yuxin Chen , Suvrit Sra

We establish connections between the Transformer architecture, originally introduced for natural language processing, and Graph Neural Networks (GNNs) for representation learning on graphs. We show how Transformers can be viewed as message…

机器学习 · 计算机科学 2025-06-30 Chaitanya K. Joshi

The transformer is a neural network component that can be used to learn useful representations of sequences or sets of data-points. The transformer has driven recent advances in natural language processing, computer vision, and…

机器学习 · 计算机科学 2026-01-21 Richard E. Turner

This research endeavors to offer insights into unlocking the further potential of transformer-based architectures. One of the primary motivations is to offer a geometric interpretation for the attention mechanism in transformers. In our…

机器学习 · 计算机科学 2025-12-16 Zhongping Ji

The Transformer is a sequence model that forgoes traditional recurrent architectures in favor of a fully attention-based approach. Besides improving performance, an advantage of using attention is that it can also help to interpret a model…

人机交互 · 计算机科学 2019-06-14 Jesse Vig

Transformers excel across domains, yet their quadratic attention complexity poses a barrier to scaling. Random-feature attention, as in Performers, can reduce this cost to linear in the sequence length by approximating the softmax kernel…

机器学习 · 计算机科学 2026-03-05 Amirhossein Farzam , Hossein Mobahi , Nolan Andrew Miller , Luke Sernau

Understanding how convolutional neural networks (CNNs) can efficiently learn high-dimensional functions remains a fundamental challenge. A popular belief is that these models harness the local and hierarchical structure of natural data such…

机器学习 · 统计学 2023-06-02 Francesco Cagnetta , Alessandro Favero , Matthieu Wyart

Sequence modelling requires determining which past tokens are causally relevant from the context and their importance: a process inherent to the attention layers in transformers, yet whose underlying learned mechanisms remain poorly…

机器学习 · 计算机科学 2026-04-14 Francesco D'Angelo , Nicolas Flammarion

Research in machine learning has polarized into two general approaches for regression tasks: Transductive methods construct estimates directly from available data but are usually problem unspecific. Inductive methods can be much more…

机器学习 · 计算机科学 2023-05-19 Mathieu Chalvidal , Thomas Serre , Rufin VanRullen