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The transformer architecture has driven breakthroughs in recent years on tasks which require modeling pairwise relationships between sequential elements, as is the case in natural language understanding. However, long seqeuences pose a…

计算与语言 · 计算机科学 2024-03-26 Heejun Lee , Jina Kim , Jeffrey Willette , Sung Ju Hwang

Attention-based architectures, in particular transformers, are at the heart of a technological revolution. Interestingly, in addition to helping obtain state-of-the-art results on a wide range of applications, the attention mechanism…

机器学习 · 统计学 2025-10-22 Gianluigi Lopardo , Frederic Precioso , Damien Garreau

Despite the popularity of transformers in practice, their architectures are empirically designed and neither mathematically justified nor interpretable. Moreover, as indicated by many empirical studies, some components of transformer…

机器学习 · 计算机科学 2025-06-05 Peng Wang , Yifu Lu , Yaodong Yu , Druv Pai , Qing Qu , Yi Ma

Transformer has become the dominant architecture for sequence modeling, yet a detailed understanding of how its structural parameters influence expressive power remains limited. In this work, we study the approximation properties of…

机器学习 · 计算机科学 2026-04-01 Penghao Yu , Haotian Jiang , Zeyu Bao , Ruoxi Yu , Qianxiao Li

With the rise of Transformer models in NLP and CV domain, Multi-Head Attention has been proven to be a game-changer. However, its expensive computation poses challenges to the model throughput and efficiency, especially for the long…

图像与视频处理 · 电气工程与系统科学 2024-04-12 Jiing-Ping Wang , Ming-Guang Lin , An-Yeu , Wu

Mixture-of-Experts (MoE) models improve transformer efficiency but lack a unified theoretical explanation, especially when both feed-forward and attention layers are allowed to specialize. To this end, we study the Mixture-of-Transformers…

机器学习 · 计算机科学 2025-11-03 Hongbo Li , Qinhang Wu , Sen Lin , Yingbin Liang , Ness B. Shroff

Transformers have proven highly effective across various applications, especially in handling sequential data such as natural languages and time series. However, transformer models often lack clear interpretability, and the success of…

机器学习 · 计算机科学 2025-12-01 Wei Shi , Yuan Cao

In this paper, we contend that the objective of representation learning is to compress and transform the distribution of the data, say sets of tokens, towards a mixture of low-dimensional Gaussian distributions supported on incoherent…

机器学习 · 计算机科学 2023-06-05 Yaodong Yu , Sam Buchanan , Druv Pai , Tianzhe Chu , Ziyang Wu , Shengbang Tong , Benjamin D. Haeffele , Yi Ma

As the core building block of vision transformers, attention is a powerful tool to capture long-range dependency. However, such power comes at a cost: it incurs a huge computation burden and heavy memory footprint as pairwise token…

计算机视觉与模式识别 · 计算机科学 2023-03-16 Lei Zhu , Xinjiang Wang , Zhanghan Ke , Wayne Zhang , Rynson Lau

Attention plays a fundamental role in both natural and artificial intelligence systems. In deep learning, attention-based neural architectures, such as transformer architectures, are widely used to tackle problems in natural language…

机器学习 · 计算机科学 2022-02-18 Pierre Baldi , Roman Vershynin

Transformers have been successfully used in various fields and are becoming the standard tools in computer vision. However, self-attention, a core component of transformers, has a quadratic complexity problem, which limits the use of…

计算机视觉与模式识别 · 计算机科学 2022-06-02 Jiuk Hong , Chaehyeon Lee , Soyoun Bang , Heechul Jung

We study the capabilities of the transformer architecture with varying depth. Specifically, we designed a novel set of sequence learning tasks to systematically evaluate and comprehend how the depth of transformer affects its ability to…

机器学习 · 计算机科学 2024-04-03 Xingwu Chen , Difan Zou

Transformers lack an explicit architectural mechanism for storing and organizing knowledge acquired during training. We introduce learnable sparse memory banks: a set of latent tokens, randomly initialized and trained end-to-end, that…

机器学习 · 计算机科学 2026-03-24 Tasmay Pankaj Tibrewal , Pritish Saha , Ankit Meda , Kunal Singh , Pradeep Moturi

Sparse MoE routing fails at domain transitions, where the current token belongs to one distribution and the next to another. In a controlled experiment (4 experts, 5 seeds), standard affinity routing assigns only 0.006 +/- 0.001 probability…

机器学习 · 计算机科学 2026-05-04 Man Yung Wong

The bus admittance matrix is central to many power system simulation algorithms, but the link between problem size and computation time (i.e., the time complexity) using modern sparse solvers is not fully understood. It has recently been…

系统与控制 · 电气工程与系统科学 2023-11-21 Matthew Deakin , Davis Montenegro

Sparsely-gated Mixture of Expert (MoE) layers have been recently successfully applied for scaling large transformers, especially for language modeling tasks. An intriguing side effect of sparse MoE layers is that they convey inherent…

计算机视觉与模式识别 · 计算机科学 2023-04-28 Svetlana Pavlitska , Christian Hubschneider , Lukas Struppek , J. Marius Zöllner

Transformers have revolutionized natural language processing, but their quadratic complexity with respect to sequence length remains a fundamental bottleneck for long-range modeling. While sparse attention mechanisms like RingAttention…

计算与语言 · 计算机科学 2026-03-31 Dong Liu , Yanxuan Yu

Transformers with linear attention allow for efficient parallel training but can simultaneously be formulated as an RNN with 2D (matrix-valued) hidden states, thus enjoying linear-time inference complexity. However, linear attention…

机器学习 · 计算机科学 2024-08-28 Songlin Yang , Bailin Wang , Yikang Shen , Rameswar Panda , Yoon Kim

While the multi-branch architecture is one of the key ingredients to the success of computer vision tasks, it has not been well investigated in natural language processing, especially sequence learning tasks. In this work, we propose a…

计算与语言 · 计算机科学 2020-07-28 Yang Fan , Shufang Xie , Yingce Xia , Lijun Wu , Tao Qin , Xiang-Yang Li , Tie-Yan Liu

The powerful modeling capabilities of all-attention-based transformer architectures often cause overfitting and - for natural language processing tasks - lead to an implicitly learned internal language model in the autoregressive…

机器学习 · 计算机科学 2022-09-21 Timo Lohrenz , Björn Möller , Zhengyang Li , Tim Fingscheidt