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This paper investigates the limitations of transformers for entity-tracking tasks in large language models. We identify a theoretical constraint, showing that transformers require at least $\log_2 (n+1)$ layers to handle entity tracking…

机器学习 · 计算机科学 2024-12-12 Erwan Fagnou , Paul Caillon , Blaise Delattre , Alexandre Allauzen

Despite that going deep has proven successful in many neural architectures, the existing graph transformers are relatively shallow. In this work, we explore whether more layers are beneficial to graph transformers, and find that current…

机器学习 · 计算机科学 2023-03-02 Haiteng Zhao , Shuming Ma , Dongdong Zhang , Zhi-Hong Deng , Furu Wei

Masked diffusion models (MDMs), which leverage bidirectional attention and a denoising process, are narrowing the performance gap with autoregressive models (ARMs). However, their internal attention mechanisms remain under-explored. This…

人工智能 · 计算机科学 2026-01-13 Pengcheng Huang , Tianming Liu , Zhenghao Liu , Yukun Yan , Shuo Wang , Tong Xiao , Zulong Chen , Maosong Sun

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

The rapid progress seen in terms of large-scale generative AI is largely based on the attention mechanism. It is conversely non-trivial to conceive small-scale applications for which attention-based architectures outperform traditional…

机器学习 · 计算机科学 2025-08-07 Claudius Gros

We study the problem of learning Transformer-based sequence models with black-box access to their outputs. In this setting, a learner may adaptively query the oracle with any sequence of vectors and observe the output of the target…

机器学习 · 计算机科学 2026-05-05 Satwik Bhattamishra , Kulin Shah , Michael Hahn , Varun Kanade

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…

机器学习 · 计算机科学 2026-04-14 Zhen Qin , Jinxin Zhou , Jiachen Jiang , Zhihui Zhu

Deep learning models have been widely applied in various aspects of daily life. Many variant models based on deep learning structures have achieved even better performances. Attention-based architectures have become almost ubiquitous in…

机器学习 · 计算机科学 2022-02-25 Zhiying Fang , Yidong Ouyang , Ding-Xuan Zhou , Guang Cheng

Recently, the attention-enhanced multi-layer encoder, such as Transformer, has been extensively studied in Machine Reading Comprehension (MRC). To predict the answer, it is common practice to employ a predictor to draw information only from…

计算与语言 · 计算机科学 2021-02-03 Nuo Chen , Fenglin Liu , Chenyu You , Peilin Zhou , Yuexian Zou

Attention layers are widely used in natural language processing (NLP) and are beginning to influence computer vision architectures. Training very large transformer models allowed significant improvement in both fields, but once trained,…

机器学习 · 计算机科学 2021-05-21 Jean-Baptiste Cordonnier , Andreas Loukas , Martin Jaggi

Language and vision-language models have shown impressive performance across a wide range of tasks, but their internal mechanisms remain only partly understood. In this work, we study how individual attention heads in text-generative models…

计算机视觉与模式识别 · 计算机科学 2026-01-15 Lorenzo Basile , Valentino Maiorca , Diego Doimo , Francesco Locatello , Alberto Cazzaniga

Linearization of attention using various kernel approximation and kernel learning techniques has shown promise. Past methods used a subset of combinations of component functions and weight matrices within the random feature paradigm. We…

机器学习 · 计算机科学 2025-09-24 Duke Nguyen , Du Yin , Aditya Joshi , Flora Salim

In this paper, we aim to build the global convergence theory of encoder-only shallow Transformers under a realistic setting from the perspective of architectures, initialization, and scaling under a finite width regime. The difficulty lies…

机器学习 · 计算机科学 2023-11-06 Yongtao Wu , Fanghui Liu , Grigorios G Chrysos , Volkan Cevher

Transformer architecture has shown impressive performance in multiple research domains and has become the backbone of many neural network models. However, there is limited understanding on how it works. In particular, with a simple…

计算与语言 · 计算机科学 2023-10-31 Yuandong Tian , Yiping Wang , Beidi Chen , Simon Du

Understanding the training dynamics of transformers is important to explain the impressive capabilities behind large language models. In this work, we study the dynamics of training a shallow transformer on a task of recognizing…

机器学习 · 计算机科学 2024-10-15 Hongru Yang , Bhavya Kailkhura , Zhangyang Wang , Yingbin Liang

This paper proposes a practical successive decoding scheme with finite levels for the finite-state Markov channels where there is no a priori state information at the transmitter or the receiver. The design employs either a random…

信息论 · 计算机科学 2009-05-06 Teng Li , Oliver M. Collins

Transformer networks have seen great success in natural language processing and machine vision, where task objectives such as next word prediction and image classification benefit from nuanced context sensitivity across high-dimensional…

机器学习 · 计算机科学 2022-12-13 Yuxuan Li , James L. McClelland

A few models have tried to tackle the link prediction problem, also known as knowledge graph completion, by embedding knowledge graphs in comparably lower dimensions. However, the state-of-the-art results are attained at the cost of…

机器学习 · 计算机科学 2022-11-29 Peyman Baghershahi , Reshad Hosseini , Hadi Moradi

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…

机器学习 · 计算机科学 2024-02-27 Yury Nahshan , Joseph Kampeas , Emir Haleva

The transformer architecture is central to the success of modern Large Language Models (LLMs), in part due to its surprising ability to perform a wide range of tasks - including mathematical reasoning, memorization, and retrieval - using…

机器学习 · 计算机科学 2025-09-05 Yihe Dong , Lorenzo Noci , Mikhail Khodak , Mufan Li