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Principal component analysis (PCA) requires the computation of a low-rank approximation to a matrix containing the data being analyzed. In many applications of PCA, the best possible accuracy of any rank-deficient approximation is at most a…

Computation · Statistics 2010-06-04 Vladimir Rokhlin , Arthur Szlam , Mark Tygert

Scaling Transformers to ultra-long contexts is bottlenecked by the $O(n^2 d)$ cost of self-attention. Existing methods reduce this cost along the sequence axis through local windows, kernel approximations, or token-level sparsity, but these…

Machine Learning · Computer Science 2026-03-31 Yan Xie , Tiansheng Wen , Tangda Huang , Bo Chen , Chenyu You , Stefanie Jegelka , Yifei Wang

Sparse Attention is a technique that approximates standard attention computation with sub-quadratic complexity. This is achieved by selectively ignoring smaller entries in the attention matrix during the softmax function computation.…

Machine Learning · Computer Science 2025-02-13 Yichuan Deng , Zhao Song , Jing Xiong , Chiwun Yang

Transformers have become the leading choice in natural language processing over other deep learning architectures. This trend has also permeated the field of time series analysis, especially for long-horizon forecasting, showcasing…

Machine Learning · Computer Science 2025-07-30 Ignacio Aguilera-Martos , Andrés Herrera-Poyatos , Julián Luengo , Francisco Herrera

Personalizing visual generative models to meet specific user needs has gained increasing attention, yet current methods like Low-Rank Adaptation (LoRA) remain impractical due to their demand for task-specific data and lengthy optimization.…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Yiming Hao , Mutian Xu , Chongjie Ye , Jie Qin , Shunlin Lu , Yipeng Qin , Xiaoguang Han

Timeseries analytics is of great importance in many real-world applications. Recently, the Transformer model, popular in natural language processing, has been leveraged to learn high quality feature embeddings from timeseries, core to the…

Machine Learning · Computer Science 2023-06-06 Jiaming Liang , Lei Cao , Samuel Madden , Zachary Ives , Guoliang Li

Large Language Models (LLMs) have demonstrated remarkable capabilities across various applications, but their performance on long-context tasks is often limited by the computational complexity of attention mechanisms. We introduce a novel…

Machine Learning · Computer Science 2025-02-25 Bo Chen , Yingyu Liang , Zhizhou Sha , Zhenmei Shi , Zhao Song

An automated resource analysis technique is introduced, targeting a Call-By-Push-Value abstract machine, with memory prediction as a practical goal. The machine has a polymorphic and linear type system enhanced with a first-order logical…

Logic in Computer Science · Computer Science 2023-10-24 Hector Suzanne , Emmanuel Chailloux

Parameter-efficient fine-tuning methods like Low-Rank Adaptation (LoRA) have become the dominant paradigm for adapting large pretrained models. We present a theoretical framework explaining an underexplored property: LoRA's inherent…

Machine Learning · Computer Science 2026-02-03 Brady Steele

Random Access (RA) Medium Access (MAC) protocols are simple and effective when the nature of the traffic is unpredictable and random. In the following paper, a novel RA protocol called Enhanced Contention Resolution ALOHA (ECRA) is…

Information Theory · Computer Science 2012-11-22 Federico Clazzer , Christian Kissling

In this paper, to remedy this deficiency, we propose a Linear Attention Mechanism which is approximate to dot-product attention with much less memory and computational costs. The efficient design makes the incorporation between attention…

Computer Vision and Pattern Recognition · Computer Science 2020-08-21 Rui Li , Jianlin Su , Chenxi Duan , Shunyi Zheng

Low-Rank Adaptation (LoRA) enables parameter-efficient fine-tuning of large models by decomposing weight updates into low-rank matrices, significantly reducing storage and computational overhead. While effective, standard LoRA lacks…

Machine Learning · Computer Science 2026-05-11 Viktar Dubovik , Patryk Marszałek , Jacek Tabor , Tomasz Kuśmierczyk

Various natural language processing (NLP) tasks necessitate models that are efficient and small based on their ultimate application at the edge or in other resource-constrained environments. While prior research has reduced the size of…

Computation and Language · Computer Science 2023-06-27 Victor Agostinelli , Lizhong Chen

The random phase approximation (RPA) for the correlation energy functional of density functional theory has recently attracted renewed interest. Formulated in terms of the Kohn-Sham (KS) orbitals and eigenvalues, it promises to resolve some…

Other Condensed Matter · Physics 2009-11-13 Hong Jiang , Eberhard Engel

While linear attention architectures offer efficient inference, compressing unbounded history into a fixed-size memory inherently limits expressivity and causes information loss. To address this limitation, we introduce Random Access Memory…

Machine Learning · Computer Science 2026-02-13 Kaicheng Xiao , Haotian Li , Liran Dong , Guoliang Xing

The uncertainty quantification and error control of classifiers are crucial in many high-consequence decision-making scenarios. We propose a selective classification framework that provides an indecision option for any observations that…

Methodology · Statistics 2022-10-11 Bowen Gang , Yuantao Shi , Wenguang Sun

The per-token cost of transformer inference scales with context length, preventing its application to lifelong in-context learning. Linear attention is an efficient alternative that maintains a constant memory footprint, even on infinite…

Computation and Language · Computer Science 2025-10-01 Luke McDermott , Robert W. Heath , Rahul Parhi

Self-Attention has become prevalent in computer vision models. Inspired by fully connected Conditional Random Fields (CRFs), we decompose self-attention into local and context terms. They correspond to the unary and binary terms in CRF and…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Chenglin Yang , Siyuan Qiao , Adam Kortylewski , Alan Yuille

Attention mechanisms have significantly advanced visual models by capturing global context effectively. However, their reliance on large-scale datasets and substantial computational resources poses challenges in data-scarce and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Chenghao Li , Chaoning Zhang , Boheng Zeng , Yi Lu , Pengbo Shi , Qingzi Chen , Jirui Liu , Lingyun Zhu , Yang Yang , Heng Tao Shen

Softmax attention struggles with long contexts due to structural limitations: the strict sum-to-one constraint forces attention sinks on irrelevant tokens, and probability mass disperses as sequence lengths increase. We tackle these…

Machine Learning · Computer Science 2026-04-17 Xingyue Huang , Xueying Ding , Mingxuan Ju , Yozen Liu , Neil Shah , Tong Zhao