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Neural networks using transformer-based architectures have recently demonstrated great power and flexibility in modeling sequences of many types. One of the core components of transformer networks is the attention layer, which allows…

机器学习 · 计算机科学 2019-07-16 Matthew Spellings

In this paper, we revisit the large-scale constrained linear regression problem and propose faster methods based on some recent developments in sketching and optimization. Our algorithms combine (accelerated) mini-batch SGD with a new…

机器学习 · 计算机科学 2018-02-12 Di Wang , Jinhui Xu

We address the problem of filling missing entries in a kernel Gram matrix, given a related full Gram matrix. We attack this problem from the viewpoint of regression, assuming that the two kernel matrices can be considered as explanatory…

定量方法 · 定量生物学 2011-11-10 Yoshihiro Yamanishi , Jean-Philippe Vert

Transformers have been proven a successful model for a variety of tasks in sequence modeling. However, computing the attention matrix, which is their key component, has quadratic complexity with respect to the sequence length, thus making…

机器学习 · 计算机科学 2020-10-01 Apoorv Vyas , Angelos Katharopoulos , François Fleuret

We propose Axial Transformers, a self-attention-based autoregressive model for images and other data organized as high dimensional tensors. Existing autoregressive models either suffer from excessively large computational resource…

计算机视觉与模式识别 · 计算机科学 2019-12-30 Jonathan Ho , Nal Kalchbrenner , Dirk Weissenborn , Tim Salimans

Sequential self-attention models usually rely on additive positional embeddings, which inject positional information into item representations at the input. In the absence of positional signals, the attention block is…

信息检索 · 计算机科学 2026-02-25 Timur Nabiev , Evgeny Frolov

This paper explores the much discussed, possible explanatory link between attention weights (AW) in transformer models and predicted output. Contrary to intuition and early research on attention, more recent prior research has provided…

计算与语言 · 计算机科学 2024-10-25 Omar Naim , Nicholas Asher

Transformer is a ubiquitous model for natural language processing and has attracted wide attentions in computer vision. The attention maps are indispensable for a transformer model to encode the dependencies among input tokens. However,…

机器学习 · 计算机科学 2021-02-26 Yujing Wang , Yaming Yang , Jiangang Bai , Mingliang Zhang , Jing Bai , Jing Yu , Ce Zhang , Gao Huang , Yunhai Tong

Linear attention offers a linear-time alternative to self-attention but often struggles to capture long-range patterns. We revisit linear attention through a prediction-correction lens and show that prevalent variants can be written as a…

机器学习 · 计算机科学 2025-10-01 Xunhao Lai , Jialiang Kang , Jianqiao Lu , Tong Lin , Pengyu Zhao

Autoregressive neural network models have been used successfully for sequence generation, feature extraction, and hypothesis scoring. This paper presents yet another use for these models: allocating more computation to more difficult…

机器学习 · 计算机科学 2020-06-03 Loren Lugosch , Derek Nowrouzezahrai , Brett H. Meyer

The quadratic complexity of attention mechanisms limits the efficiency of Large Language Models (LLMs) on long-text tasks. Recently, methods that dynamically estimate block importance have enabled efficient block sparse attention, leading…

计算与语言 · 计算机科学 2026-04-01 Yixuan Wang , Huang He , Siqi Bao , Hua Wu , Haifeng Wang , Qingfu Zhu , Wanxiang Che

Prompt-tuning is an emerging strategy to adapt large language models (LLM) to downstream tasks by learning a (soft-)prompt parameter from data. Despite its success in LLMs, there is limited theoretical understanding of the power of…

机器学习 · 计算机科学 2023-06-07 Samet Oymak , Ankit Singh Rawat , Mahdi Soltanolkotabi , Christos Thrampoulidis

We revisit the I/O complexity of attention in large language models. Given query-key-value matrices $Q,K,V\in\mathbb{R}^{n\times d}$, and a machine with fast memory size $M$, the goal is to compute the "attention matrix" $A=\text{softmax}(Q…

机器学习 · 计算机科学 2026-05-25 Pál András Papp , Aleksandros Sobczyk , Anastasios Zouzias

Linear attention offers a computationally efficient yet expressive alternative to softmax attention. However, recent empirical results indicate that the hidden state of trained linear attention models often exhibits a low-rank structure,…

机器学习 · 计算机科学 2026-02-13 Philipp Nazari , T. Konstantin Rusch

In this paper, we present a sharp analysis for a class of alternating projected gradient descent algorithms which are used to solve the covariate adjusted precision matrix estimation problem in the high-dimensional setting. We demonstrate…

信息论 · 计算机科学 2022-01-13 Xiao Lv , Wei Cui , Yulong Liu

Attention mechanism has been regarded as an advanced technique to capture long-range feature interactions and to boost the representation capability for convolutional neural networks. However, we found two ignored problems in current…

计算机视觉与模式识别 · 计算机科学 2021-08-19 Zhu Baozhou , Peter Hofstee , Jinho Lee , Zaid Al-Ars

Self-attention-based models have achieved remarkable progress in short-text mining. However, the quadratic computational complexities restrict their application in long text processing. Prior works have adopted the chunking strategy to…

计算与语言 · 计算机科学 2023-06-13 Xianming Li , Zongxi Li , Xiaotian Luo , Haoran Xie , Xing Lee , Yingbin Zhao , Fu Lee Wang , Qing Li

Neural language models predict the next token using a latent representation of the immediate token history. Recently, various methods for augmenting neural language models with an attention mechanism over a differentiable memory have been…

计算与语言 · 计算机科学 2017-02-16 Michał Daniluk , Tim Rocktäschel , Johannes Welbl , Sebastian Riedel

Transformer-based large language models (LLMs) exhibit impressive performance in generative tasks but also introduce significant challenges in real-world serving due to inefficient use of the expensive, computation-optimized accelerators.…

机器学习 · 计算机科学 2025-04-11 Shaoyuan Chen , Wencong Xiao , Yutong Lin , Mingxing Zhang , Yingdi Shan , Jinlei Jiang , Kang Chen , Yongwei Wu

Transformer-based language models have found many diverse applications requiring them to process sequences of increasing length. For these applications, the causal self-attention -- which is the only component scaling quadratically w.r.t.…

机器学习 · 计算机科学 2023-06-05 Matteo Pagliardini , Daniele Paliotta , Martin Jaggi , François Fleuret