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We find arithmetic ability resides within a limited number of attention heads, with each head specializing in distinct operations. To delve into the reason, we introduce the Comparative Neuron Analysis (CNA) method, which identifies an…

Computation and Language · Computer Science 2024-09-24 Zeping Yu , Sophia Ananiadou

Feature selection is the problem of selecting a subset of features for a machine learning model that maximizes model quality subject to a budget constraint. For neural networks, prior methods, including those based on $\ell_1$…

Machine Learning · Computer Science 2024-06-19 Taisuke Yasuda , MohammadHossein Bateni , Lin Chen , Matthew Fahrbach , Gang Fu , Vahab Mirrokni

We introduce Performers, Transformer architectures which can estimate regular (softmax) full-rank-attention Transformers with provable accuracy, but using only linear (as opposed to quadratic) space and time complexity, without relying on…

Large language models (LLMs) enable long-context tasks but face efficiency challenges due to the growing key-value (KV) cache. We propose LeanK, a learning-based method that prunes unimportant key (K) cache channels by leveraging static…

Machine Learning · Computer Science 2025-08-05 Yike Zhang , Zhiyuan He , Huiqiang Jiang , Chengruidong Zhang , Yuqing Yang , Jianyong Wang , Lili Qiu

Many efficient $\textit{approximate}$ self-attention techniques have become prevalent since the inception of the transformer architecture. Two popular classes of these techniques are low-rank and kernel methods. Each of these methods has…

Machine Learning · Computer Science 2024-06-04 Ahan Gupta , Hao Guo , Yueming Yuan , Yanqi Zhou , Charith Mendis

Autoregressive (AR) video diffusion is a powerful paradigm for streaming and interactive video generation. However, its reliance on softmax self-attention leads to quadratic compute complexity in sequence length and memory usage due to…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Kunyang Li , Mubarak Shah , Yuzhang Shang

Linear attentions have shown potential for improving Transformer efficiency, reducing attention's quadratic complexity to linear in sequence length. This holds exciting promise for (1) training linear Transformers from scratch, (2)…

Machine Learning · Computer Science 2024-02-08 Michael Zhang , Kush Bhatia , Hermann Kumbong , Christopher Ré

Training causal transformers at extreme sequence lengths is bottlenecked by the quadratic time and memory of scaled dot-product attention (SDPA). In this work, we propose Lighthouse Attention, a training-only symmetrical selection-based…

Computation and Language · Computer Science 2026-05-08 Bowen Peng , Subho Ghosh , Jeffrey Quesnelle

Transformers have become the de facto standard for a wide range of tasks, from image classification to physics simulations. Despite their impressive performance, the quadratic complexity of standard Transformers in both memory and time with…

Computer Vision and Pattern Recognition · Computer Science 2025-07-04 Alex Colagrande , Paul Caillon , Eva Feillet , Alexandre Allauzen

Previous research has explored the computational expressivity of Transformer models in simulating Boolean circuits or Turing machines. However, the learnability of these simulators from observational data has remained an open question. Our…

Machine Learning · Computer Science 2025-10-27 Morris Yau , Ekin Akyürek , Jiayuan Mao , Joshua B. Tenenbaum , Stefanie Jegelka , Jacob Andreas

Transformers with linear attention (i.e., linear transformers) and state-space models have recently been suggested as a viable linear-time alternative to transformers with softmax attention. However, these models still underperform…

Machine Learning · Computer Science 2025-01-16 Songlin Yang , Bailin Wang , Yu Zhang , Yikang Shen , Yoon Kim

Large Language Model (LLM) deployment is increasingly shifting to cost-efficient accelerators like Google's Tensor Processing Units (TPUs), prioritizing both performance and total cost of ownership (TCO). However, existing LLM inference…

Performance · Computer Science 2026-04-20 Jevin Jiang , Ying Chen , Blake A. Hechtman , Fenghui Zhang , Yarong Mu

Convolutional neural networks (CNNs) have demonstrated superior performance in super-resolution (SR). However, most CNN-based SR methods neglect the different importance among feature channels or fail to take full advantage of the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 Yue Lu , Yun Zhou , Zhuqing Jiang , Xiaoqiang Guo , Zixuan Yang

We present TransNormerLLM, the first linear attention-based Large Language Model (LLM) that outperforms conventional softmax attention-based models in terms of both accuracy and efficiency. TransNormerLLM evolves from the previous linear…

Computation and Language · Computer Science 2024-01-22 Zhen Qin , Dong Li , Weigao Sun , Weixuan Sun , Xuyang Shen , Xiaodong Han , Yunshen Wei , Baohong Lv , Xiao Luo , Yu Qiao , Yiran Zhong

Most existing structured pruning methods for Large Language Models (LLMs) require substantial computational and data resources for retraining to reestablish the corrupted correlations, making them prohibitively expensive. To address this,…

Computation and Language · Computer Science 2025-06-11 Jiujun He , Huazhen Lin

Large Language Models (LLMs) have demonstrated remarkable capabilities across a wide range of natural language processing tasks. These capabilities stem primarily from the self-attention mechanism, which enables modeling of long-range…

Computation and Language · Computer Science 2026-01-05 Zeng You , Yaofo Chen , Shuhai Zhang , Zhijie Qiu , Tingyu Wu , Yingjian Li , Yaowei Wang , Mingkui Tan

Sequential recommendation models, particularly those based on attention, achieve strong accuracy but incur quadratic complexity, making long user histories prohibitively expensive. Sub-quadratic operators such as Hyena provide efficient…

Information Retrieval · Computer Science 2026-03-27 Jiahao Liu , Lin Li , Zhiyuan Li , Kaixi Hu , Kaize Shi , Jingling Yuan

We prove that with linear transformations, both (i) two-layer self-attention and (ii) one-layer self-attention followed by a softmax function are universal approximators for continuous sequence-to-sequence functions on compact domains. Our…

Machine Learning · Computer Science 2025-12-17 Jerry Yao-Chieh Hu , Hude Liu , Hong-Yu Chen , Weimin Wu , Han Liu

State-of-the-art sequential recommendation relies heavily on self-attention-based recommender models. Yet such models are computationally expensive and often too slow for real-time recommendation. Furthermore, the self-attention operation…

Information Retrieval · Computer Science 2023-11-09 Zhenrui Yue , Yueqi Wang , Zhankui He , Huimin Zeng , Julian McAuley , Dong Wang

Many advanced Large Language Model (LLM) applications require long-context processing, but the self-attention module becomes a bottleneck during the prefilling stage of inference due to its quadratic time complexity with respect to sequence…

Machine Learning · Computer Science 2025-06-02 Xiaodong Ji , Hailin Zhang , Fangcheng Fu , Bin Cui
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