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Large language models (LLMs) excel at capturing global token dependencies via self-attention but face prohibitive compute and memory costs on lengthy inputs. While sub-quadratic methods (e.g., linear attention) can reduce these costs, they…

Machine Learning · Computer Science 2025-06-18 Yeonju Ro , Zhenyu Zhang , Souvik Kundu , Zhangyang Wang , Aditya Akella

State Space Models (SSMs) have emerged as a promising alternative to Transformers for long-context sequence modeling, offering linear $O(N)$ computational complexity compared to the Transformer's quadratic $O(N^2)$ scaling. This paper…

Machine Learning · Computer Science 2026-01-06 Abidemi Koledoye , Chinemerem Unachukwu , Gold Nwobu , Hasin Rana

Recurrent Neural Networks (RNNs) have long been the dominant architecture in sequence-to-sequence learning. RNNs, however, are inherently sequential models that do not allow parallelization of their computations. Transformers are emerging…

Audio and Speech Processing · Electrical Eng. & Systems 2021-03-10 Cem Subakan , Mirco Ravanelli , Samuele Cornell , Mirko Bronzi , Jianyuan Zhong

Token representation strategies within large-scale neural architectures often rely on contextually refined embeddings, yet conventional approaches seldom encode structured relationships explicitly within token interactions. Self-attention…

Computation and Language · Computer Science 2025-03-27 James Blades , Frederick Somerfield , William Langley , Susan Everingham , Maurice Witherington

Sequence data is challenging for machine learning approaches, because the lengths of the sequences may vary between samples. In this paper, we present an unsupervised learning model for sequence data, called the Integrated Sequence…

Computer Vision and Pattern Recognition · Computer Science 2018-04-30 Wenjie Pei , David M. J. Tax

While Transformers have been the main architecture behind deep learning's success in language modeling, state-space models (SSMs) such as Mamba have recently been shown to match or outperform Transformers at small to medium scale. We show…

Machine Learning · Computer Science 2024-06-03 Tri Dao , Albert Gu

Attention-based models, such as Transformer, excel across various tasks but lack a comprehensive theoretical understanding, especially regarding token-wise sparsity and internal linear representations. To address this gap, we introduce the…

Machine Learning · Statistics 2025-02-27 Pierre Marion , Raphaël Berthier , Gérard Biau , Claire Boyer

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

Large Transformer models routinely achieve state-of-the-art results on a number of tasks but training these models can be prohibitively costly, especially on long sequences. We introduce two techniques to improve the efficiency of…

Machine Learning · Computer Science 2020-02-19 Nikita Kitaev , Łukasz Kaiser , Anselm Levskaya

Self-attention has become increasingly popular in a variety of sequence modeling tasks from natural language processing to recommendation, due to its effectiveness. However, self-attention suffers from quadratic computational and memory…

Information Retrieval · Computer Science 2021-06-01 Yongji Wu , Defu Lian , Neil Zhenqiang Gong , Lu Yin , Mingyang Yin , Jingren Zhou , Hongxia Yang

Single hyperspectral image super-resolution (single-HSI-SR) aims to restore a high-resolution hyperspectral image from a low-resolution observation. However, the prevailing CNN-based approaches have shown limitations in building long-range…

Computer Vision and Pattern Recognition · Computer Science 2023-07-27 Mingjin Zhang , Chi Zhang , Qiming Zhang , Jie Guo , Xinbo Gao , Jing Zhang

Effectively processing long contexts is a critical challenge for language models. While standard Transformers are limited by quadratic complexity and poor length extrapolation, alternative architectures like sliding window attention and…

Computation and Language · Computer Science 2026-05-01 Jiaqi Leng , Xiang Hu , Junxiong Wang , Jianguo Li , Wei Wu , Yucheng Lu

Transformers have reached remarkable success in sequence modeling. However, these models have efficiency issues as they need to store all the history token-level representations as memory. We present Memformer, an efficient neural network…

Computation and Language · Computer Science 2022-04-14 Qingyang Wu , Zhenzhong Lan , Kun Qian , Jing Gu , Alborz Geramifard , Zhou Yu

Backtracking search underlies classical constraint solvers, planners, and theorem provers. Recent transformer-based reasoning systems explore search trees over their own intermediate steps. A common training recipe fits an autoregressive…

Machine Learning · Computer Science 2026-05-22 Yin Jun Phua , Tony Ribeiro , Tuan Nguyen , Katsumi Inoue

The attention mechanism has largely improved the performance of end-to-end speech recognition systems. However, the underlying behaviours of attention is not yet clearer. In this study, we use decision trees to explain how the attention…

Computation and Language · Computer Science 2021-10-11 Yuanchao Wang , Wenji Du , Chenghao Cai , Yanyan Xu

Token-free language models learn directly from raw bytes and remove the inductive bias of subword tokenization. Operating on bytes, however, results in significantly longer sequences. In this setting, standard autoregressive Transformers…

Computation and Language · Computer Science 2024-08-13 Junxiong Wang , Tushaar Gangavarapu , Jing Nathan Yan , Alexander M. Rush

Recent work has made clear that the residual pathway is not mere optimization plumbing; it is part of the model's representational machinery. We agree, but argue that the cleanest way to organize this design space is through a two-axis view…

Machine Learning · Computer Science 2026-05-15 Yifan Zhang

Sparse attention as a efficient method can significantly decrease the computation cost, but current sparse attention tend to rely on window self attention which block the global information flow. For this problem, we present Shifted Cross…

Computation and Language · Computer Science 2023-12-13 Yuxiang Guo

Emergence is a fascinating property of large language models and neural networks more broadly: as models scale and train for longer, they sometimes develop new abilities in sudden ways. Despite initial studies, we still lack a comprehensive…

Machine Learning · Computer Science 2025-12-11 Nicolas Zucchet , Francesco d'Angelo , Andrew K. Lampinen , Stephanie C. Y. Chan

Recent research has shown that combining Mamba with Transformer architecture, which has selective state space and quadratic self-attention mechanism, outperforms using Mamba or Transformer architecture alone in language modeling tasks. The…

Computation and Language · Computer Science 2024-07-23 Jingze Shi , Ting Xie , Bingheng Wu , Chunjun Zheng , Kai Wang
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