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Attention layers, as commonly used in transformers, form the backbone of modern deep learning, yet there is no mathematical description of their benefits and deficiencies as compared with other architectures. In this work we establish both…

机器学习 · 计算机科学 2023-11-17 Clayton Sanford , Daniel Hsu , Matus Telgarsky

We propose a symmetric graph convolutional autoencoder which produces a low-dimensional latent representation from a graph. In contrast to the existing graph autoencoders with asymmetric decoder parts, the proposed autoencoder has a newly…

机器学习 · 计算机科学 2019-08-08 Jiwoong Park , Minsik Lee , Hyung Jin Chang , Kyuewang Lee , Jin Young Choi

Vision transformers using self-attention or its proposed alternatives have demonstrated promising results in many image related tasks. However, the underpinning inductive bias of attention is not well understood. To address this issue, this…

机器学习 · 计算机科学 2022-05-23 Arda Sahiner , Tolga Ergen , Batu Ozturkler , John Pauly , Morteza Mardani , Mert Pilanci

Transformer models, which leverage architectural improvements like self-attention, perform remarkably well on Natural Language Processing (NLP) tasks. The self-attention mechanism is position agnostic. In order to capture positional…

计算与语言 · 计算机科学 2021-09-28 Zhiheng Huang , Davis Liang , Peng Xu , Bing Xiang

Embedding layers in transformer-based NLP models typically account for the largest share of model parameters, scaling with vocabulary size but not yielding performance gains proportional to scale. We propose an alternative approach in which…

计算与语言 · 计算机科学 2025-05-06 Henry Ndubuaku , Mouad Talhi

Existing research largely attributes the global sequence modeling capability of Transformers to the explicit computation of attention weights, a process that inherently incurs quadratic computational complexity. In this work, we offer a…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Ruize He , Dongchen Han , Gao Huang

We present Laneformer, a conceptually simple yet powerful transformer-based architecture tailored for lane detection that is a long-standing research topic for visual perception in autonomous driving. The dominant paradigms rely on purely…

计算机视觉与模式识别 · 计算机科学 2022-03-21 Jianhua Han , Xiajun Deng , Xinyue Cai , Zhen Yang , Hang Xu , Chunjing Xu , Xiaodan Liang

Latent Gaussian models have a rich history in statistics and machine learning, with applications ranging from factor analysis to compressed sensing to time series analysis. The classical method for maximizing the likelihood of these models…

机器学习 · 计算机科学 2023-06-07 Alexander Lin , Bahareh Tolooshams , Yves Atchadé , Demba Ba

We study the fundamental optimization principles of self-attention, the defining mechanism of transformers, by analyzing the implicit bias of gradient-based optimizers in training a self-attention layer with a linear decoder in binary…

机器学习 · 计算机科学 2025-04-01 Bhavya Vasudeva , Puneesh Deora , Christos Thrampoulidis

Transformers have shown strong ability to model long-term dependencies and are increasingly adopted as world models in model-based reinforcement learning (RL) under partial observability. However, unlike natural language corpora, RL…

机器学习 · 计算机科学 2025-11-11 Daniel De Dios Allegue , Jinke He , Frans A. Oliehoek

We identify incremental learning dynamics in transformers, where the difference between trained and initial weights progressively increases in rank. We rigorously prove this occurs under the simplifying assumptions of diagonal weight…

机器学习 · 计算机科学 2023-12-12 Enric Boix-Adsera , Etai Littwin , Emmanuel Abbe , Samy Bengio , Joshua Susskind

Transformers have had tremendous impact for several sequence related tasks, largely due to their ability to retrieve from any part of the sequence via softmax based dot-product attention. This mechanism plays a crucial role in Transformer's…

机器学习 · 计算机科学 2025-07-15 Sai Surya Duvvuri , Inderjit S. Dhillon

Efficient training and inference algorithms, such as low-rank adaption and model pruning, have shown impressive performance for learning Transformer-based large foundation models. However, due to the technical challenges of the non-convex…

机器学习 · 计算机科学 2024-06-26 Hongkang Li , Meng Wang , Shuai Zhang , Sijia Liu , Pin-Yu Chen

Probabilistic programming has emerged as a powerful paradigm in statistics, applied science, and machine learning: by decoupling modelling from inference, it promises to allow modellers to directly reason about the processes generating…

机器学习 · 统计学 2019-06-10 Maria I. Gorinova , Dave Moore , Matthew D. Hoffman

Real-world graphs naturally exhibit hierarchical or cyclical structures that are unfit for the typical Euclidean space. While there exist graph neural networks that leverage hyperbolic or spherical spaces to learn representations that embed…

机器学习 · 计算机科学 2023-09-11 Sungjun Cho , Seunghyuk Cho , Sungwoo Park , Hankook Lee , Honglak Lee , Moontae Lee

In-context reinforcement learning (ICRL) studies agents that, after pretraining, adapt to new tasks by conditioning on additional context without parameter updates. Existing theoretical analyses of ICRL largely rely on linear attention,…

机器学习 · 计算机科学 2026-05-19 Zixuan Xie , Xinyu Liu , Claire Chen , Shuze Daniel Liu , Rohan Chandra , Shangtong Zhang

Transformers have excelled in many tasks including vision. However, efficient deployment of transformer models in low-latency or high-throughput applications is hindered by the computation in the attention mechanism which involves expensive…

计算机视觉与模式识别 · 计算机科学 2024-06-12 John Yang , Le An , Su Inn Park

This thesis examines self-attention training through the lens of Optimal Transport (OT) and develops an OT-based alternative for tabular classification. The study tracks intermediate projections of the self-attention layer during training…

机器学习 · 统计学 2026-02-19 Alessandro Quadrio , Antonio Candelieri

Linear probes and sparse autoencoders consistently recover meaningful structure from transformer representations -- yet why should such simple methods succeed in deep, nonlinear systems? We show this is not merely an empirical regularity…

机器学习 · 计算机科学 2026-02-11 Andres Saurez , Yousung Lee , Dongsoo Har

While Transformer architectures have show remarkable success, they are bound to the computation of all pairwise interactions of input element and thus suffer from limited scalability. Recent work has been successful by avoiding the…

机器学习 · 计算机科学 2021-02-16 Max Horn , Kumar Shridhar , Elrich Groenewald , Philipp F. M. Baumann