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Transformers' quadratic complexity with respect to the input sequence length has motivated a body of work on efficient sparse approximations to softmax. An alternative path, used by entmax transformers, consists of having built-in exact…

计算与语言 · 计算机科学 2022-04-22 Marcos Treviso , António Góis , Patrick Fernandes , Erick Fonseca , André F. T. Martins

The quadratic complexity of standard attention mechanisms poses a significant scalability bottleneck for large language models (LLMs) in long-context scenarios. While hybrid attention strategies that combine sparse and full attention within…

计算与语言 · 计算机科学 2026-01-29 Zecheng Tang , Quantong Qiu , Yi Yang , Zhiyi Hong , Haiya Xiang , Kebin Liu , Qingqing Dang , Juntao Li , Min Zhang

Transformers provide a class of expressive architectures that are extremely effective for sequence modeling. However, the key limitation of transformers is their quadratic memory and time complexity $\mathcal{O}(L^2)$ with respect to the…

机器学习 · 计算机科学 2021-10-29 Hongyu Ren , Hanjun Dai , Zihang Dai , Mengjiao Yang , Jure Leskovec , Dale Schuurmans , Bo Dai

The quadratic computational cost of the self-attention mechanism is a primary challenge in scaling Transformer models. While attention sparsity is widely studied as a technique to improve computational efficiency, it is almost universally…

计算与语言 · 计算机科学 2025-08-11 Sagar Gandhi , Vishal Gandhi

Attention mechanisms have become ubiquitous in NLP. Recent architectures, notably the Transformer, learn powerful context-aware word representations through layered, multi-headed attention. The multiple heads learn diverse types of word…

计算与语言 · 计算机科学 2019-09-09 Gonçalo M. Correia , Vlad Niculae , André F. T. Martins

Since its inception in "Attention Is All You Need", transformer architecture has led to revolutionary advancements in NLP. The attention layer within the transformer admits a sequence of input tokens $X$ and makes them interact through…

机器学习 · 计算机科学 2024-02-23 Davoud Ataee Tarzanagh , Yingcong Li , Christos Thrampoulidis , Samet Oymak

The Transformer architecture model, based on self-attention and multi-head attention, has achieved remarkable success in offline end-to-end Automatic Speech Recognition (ASR). However, self-attention and multi-head attention cannot be…

计算与语言 · 计算机科学 2022-10-03 Chendong Zhao , Jianzong Wang , Wen qi Wei , Xiaoyang Qu , Haoqian Wang , Jing Xiao

Attention based models such as Transformers involve pairwise interactions between data points, modeled with a learnable attention matrix. Importantly, this attention matrix is normalized with the SoftMax operator, which makes it row-wise…

机器学习 · 计算机科学 2022-01-25 Michael E. Sander , Pierre Ablin , Mathieu Blondel , Gabriel Peyré

Transformers have shown dominant performance across a range of domains including language and vision. However, their computational cost grows quadratically with the sequence length, making their usage prohibitive for resource-constrained…

计算与语言 · 计算机科学 2023-10-24 Yinghan Long , Sayeed Shafayet Chowdhury , Kaushik Roy

Recently, Transformer-based models for long sequence time series forecasting have demonstrated promising results. The self-attention mechanism as the core component of these Transformer-based models exhibits great potential in capturing…

机器学习 · 计算机科学 2024-12-17 Zhicheng Zhang , Yong Wang , Shaoqi Tan , Bowei Xia , Yujie Luo

The success of vision transformers-especially for generative modeling-is limited by the quadratic cost and weak spatial inductive bias of self-attention. We propose PDE-SSM, a spatial state-space block that replaces attention with a…

机器学习 · 计算机科学 2026-03-17 Eshed Gal , Moshe Eliasof , Siddharth Rout , Eldad Haber

Transformers have become the dominant architecture across a wide range of domains, largely due to the effectiveness of multi-head attention in capturing diverse representation subspaces. However, standard multi-head attention activates all…

机器学习 · 计算机科学 2026-04-27 Bilal Faye , Abdoulaye Mbaye , Hanane Azzag , Mustapha Lebbah

Transformers are widely used across various applications, many of which yield sparse or partially filled attention matrices. Examples include attention masks designed to reduce the quadratic complexity of attention, sequence packing…

机器学习 · 计算机科学 2024-09-25 Agniv Sharma , Jonas Geiping

Transformers have achieved remarkable success in sequence modeling and beyond but suffer from quadratic computational and memory complexities with respect to the length of the input sequence. Leveraging techniques include sparse and linear…

机器学习 · 计算机科学 2022-08-02 Tan Nguyen , Richard G. Baraniuk , Robert M. Kirby , Stanley J. Osher , Bao Wang

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

Sparse attention has been proposed as a way to alleviate the quadratic cost of transformers, a central bottleneck in long-context training. A promising line of work is $\alpha$-entmax attention, a differentiable sparse alternative to…

机器学习 · 计算机科学 2026-04-17 Nuno Gonçalves , Hugo Pitorro , Vlad Niculae , Edoardo Ponti , Lei Li , Andre Martins , Marcos Treviso

Transformers are state-of-the-art in a wide range of NLP tasks and have also been applied to many real-world products. Understanding the reliability and certainty of transformer model predictions is crucial for building trustable machine…

计算与语言 · 计算机科学 2021-12-28 Jiahuan Pei , Cheng Wang , György Szarvas

Self-attention has recently been adopted for a wide range of sequence modeling problems. Despite its effectiveness, self-attention suffers from quadratic compute and memory requirements with respect to sequence length. Successful approaches…

机器学习 · 计算机科学 2020-10-27 Aurko Roy , Mohammad Saffar , Ashish Vaswani , David Grangier

With the increasing volumes of Large Language Models (LLMs) and the expanding context lengths, attention computation has become a key performance bottleneck in LLM serving. For fast attention computation, recent practices often parallelize…

分布式、并行与集群计算 · 计算机科学 2026-03-12 Di Liu , Yifei Liu , Chen Chen , Zhibin Yu , Xiaoyi Fan , Quan Chen , Minyi Guo

While self-attention has been instrumental in the success of Transformers, it can lead to over-concentration on a few tokens during training, resulting in suboptimal information flow. Enforcing doubly-stochastic constraints in attention…

机器学习 · 计算机科学 2025-07-15 Ashkan Shahbazi , Elaheh Akbari , Darian Salehi , Xinran Liu , Navid Naderializadeh , Soheil Kolouri
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