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Transformer networks are able to capture patterns in data coming from many domains (text, images, videos, proteins, etc.) with little or no change to architecture components. We perform a theoretical analysis of the core component…

Machine Learning · Computer Science 2021-06-09 Valerii Likhosherstov , Krzysztof Choromanski , Adrian Weller

Large language models (LLMs) have shown their power in different areas. Attention computation, as an important subroutine of LLMs, has also attracted interests in theory. Recently the static computation and dynamic maintenance of attention…

Data Structures and Algorithms · Computer Science 2023-04-11 Yichuan Deng , Sridhar Mahadevan , Zhao Song

In this work, we conduct a systematic analysis of Native Sparse Attention (NSA) and propose targeted improvements that enhance long-context modeling. A key insight is that alternating between local (sliding-window) and global (compression,…

Computation and Language · Computer Science 2025-11-04 Yuxuan Hu , Jianchao Tan , Jiaqi Zhang , Wen Zan , Pingwei Sun , Yifan Lu , Yerui Sun , Yuchen Xie , Xunliang Cai , Jing Zhang

Square matrices appear in many machine learning problems and models. Optimization over a large square matrix is expensive in memory and in time. Therefore an economic approximation is needed. Conventional approximation approaches factorize…

Machine Learning · Computer Science 2021-09-20 Ruslan Khalitov , Tong Yu , Lei Cheng , Zhirong Yang

Recently, Transformer networks have redefined the state of the art in many NLP tasks. However, these models suffer from quadratic computational cost in the input sequence length $n$ to compute pairwise attention in each layer. This has…

Machine Learning · Computer Science 2020-12-22 Chulhee Yun , Yin-Wen Chang , Srinadh Bhojanapalli , Ankit Singh Rawat , Sashank J. Reddi , Sanjiv Kumar

Recent advances in large language models highlighted the excessive quadratic cost of self-attention. Despite the significant research efforts, subquadratic attention methods still suffer from inferior performance in practice. We hypothesize…

Machine Learning · Computer Science 2025-05-02 Piotr Piękos , Róbert Csordás , Jürgen Schmidhuber

The design of Large Language Models (LLMs) has long been hampered by a fundamental conflict within their core attention mechanism: its remarkable expressivity is built upon a computational complexity of O(H N^2) that grows quadratically…

Machine Learning · Computer Science 2025-12-01 Mingkuan Zhao , Wentao Hu , Jiayin Wang , Xin Lai , Tianchen Huang , Yuheng Min , Rui Yan , Xiaoyan Zhu

Categorizing source codes accurately and efficiently is a challenging problem in real-world programming education platform management. In recent years, model-based approaches utilizing abstract syntax trees (ASTs) have been widely applied…

Programming Languages · Computer Science 2023-11-14 Ziyang Xiang , Zaixi Zhang , Qi Liu

We present an approximate attention mechanism named HyperAttention to address the computational challenges posed by the growing complexity of long contexts used in Large Language Models (LLMs). Recent work suggests that in the worst-case…

Machine Learning · Computer Science 2023-12-04 Insu Han , Rajesh Jayaram , Amin Karbasi , Vahab Mirrokni , David P. Woodruff , Amir Zandieh

In NMT, words are sometimes dropped from the source or generated repeatedly in the translation. We explore novel strategies to address the coverage problem that change only the attention transformation. Our approach allocates fertilities to…

Computation and Language · Computer Science 2018-05-23 Chaitanya Malaviya , Pedro Ferreira , André F. T. Martins

Attention scales quadratically with sequence length, fundamentally limiting long-context inference. Existing block-granularity sparsification can reduce latency, but coarse blocks impose an intrinsic sparsity ceiling, making further…

Machine Learning · Computer Science 2026-05-06 Yu Zhang , Songwei Liu , Chenqian Yan , Sheng Lin , Beichen Ning , Fangmin Chen , Xing Wang

Long-sequence processing is a critical capability for modern large language models. However, the self-attention mechanism in the standard Transformer architecture faces severe computational and memory bottlenecks when processing long…

Computation and Language · Computer Science 2025-09-30 Weilin Zhao , Zihan Zhou , Zhou Su , Chaojun Xiao , Yuxuan Li , Yanghao Li , Yudi Zhang , Weilun Zhao , Zhen Li , Yuxiang Huang , Ao Sun , Xu Han , Zhiyuan Liu

Sparse Transformer has recently attracted a lot of attention since the ability for reducing the quadratic dependency on the sequence length. We argue that two factors, information bottleneck sensitivity and inconsistency between different…

Computation and Language · Computer Science 2022-03-24 Yang Liu , Jiaxiang Liu , Li Chen , Yuxiang Lu , Shikun Feng , Zhida Feng , Yu Sun , Hao Tian , Hua Wu , Haifeng Wang

To overcome the quadratic cost of self-attention, recent works have proposed various sparse attention modules, most of which fall under one of two groups: 1) sparse attention under a hand-crafted patterns and 2) full attention followed by a…

Machine Learning · Computer Science 2022-10-28 Sungjun Cho , Seonwoo Min , Jinwoo Kim , Moontae Lee , Honglak Lee , Seunghoon Hong

Processing long contexts has become a critical capability for modern large language models (LLMs). However, serving long-context LLMs comes with significant inference costs due to the high memory overhead of the key-value (KV) cache.…

Machine Learning · Computer Science 2025-03-04 Qihui Zhou , Peiqi Yin , Pengfei Zuo , James Cheng

The attention mechanism is an important reason for the success of transformers. It relies on computing pairwise relations between tokens. To reduce the high computational cost of standard quadratic attention, linear attention has been…

Artificial Intelligence · Computer Science 2026-02-13 Hanno Ackermann , Hong Cai , Mohsen Ghafoorian , Amirhossein Habibian

Recently, sparse autoencoders (SAEs) have emerged as a promising technique for interpreting activations in foundation models by disentangling features into a sparse set of concepts. However, identifying the optimal level of sparsity for…

Machine Learning · Computer Science 2026-04-17 Dongsheng Wang , Jinsen Zhang , Dawei Su , Hui Huang

Large language models (LLMs) now support context windows of hundreds of thousands to millions of tokens, enabling applications such as long-document summarization, large-scale code synthesis, multi-document question answering and persistent…

Computation and Language · Computer Science 2025-10-22 Siyuan Yan , Guo-Qing Jiang , Yuchen Zhang , Xiaoxing Ma , Ran Zhu , Chun Cao , Jingwei Xu

Existing sparse attention methods primarily target inference-time acceleration by selecting critical tokens under predefined sparsity patterns. However, they often fail to bridge the training-inference gap and lack the capacity for…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Feng Chen , Yefei He , Shaoxuan He , Yuanyu He , Jing Liu , Lequan Lin , Akide Liu , Zhaoyang Li , Jiyuan Zhang , Zhenbang Sun , Bohan Zhuang , Qi Wu

Large language models (LLMs) encounter computational challenges during long-sequence inference, especially in the attention pre-filling phase, where the complexity grows quadratically with the prompt length. Previous efforts to mitigate…

Machine Learning · Computer Science 2025-03-03 Xunhao Lai , Jianqiao Lu , Yao Luo , Yiyuan Ma , Xun Zhou
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