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In this era of big data, data analytics and machine learning, it is imperative to find ways to compress large data sets such that intrinsic features necessary for subsequent analysis are not lost. The traditional workhorse for data…

Numerical Analysis · Mathematics 2020-01-03 Misha Kilmer , Lior Horesh , Haim Avron , Elizabeth Newman

Large language models (LLMs) are both storage-intensive and computation-intensive, posing significant challenges when deployed on resource-constrained hardware. As linear layers in LLMs are mainly resource consuming parts, this paper…

Hardware Architecture · Computer Science 2025-02-03 Sixiao Huang , Tintin Wang , Ang Li , Ao Shen , Kai Li , Keyao Jiang , Mingqiang Huang , Hao Yu

The embedding layers transforming input words into real vectors are the key components of deep neural networks used in natural language processing. However, when the vocabulary is large, the corresponding weight matrices can be enormous,…

Computation and Language · Computer Science 2020-02-20 Oleksii Hrinchuk , Valentin Khrulkov , Leyla Mirvakhabova , Elena Orlova , Ivan Oseledets

A classical problem in matrix computations is the efficient and reliable approximation of a given matrix by a matrix of lower rank. The truncated singular value decomposition (SVD) is known to provide the best such approximation for any…

Numerical Analysis · Mathematics 2014-08-12 Ming Gu

Although large language models (LLMs) have demonstrated their strong intelligence ability, the high demand for computation and storage hinders their practical application. To this end, many model compression techniques are proposed to…

Computation and Language · Computer Science 2024-11-01 Ge Yang , Changyi He , Jinyang Guo , Jianyu Wu , Yifu Ding , Aishan Liu , Haotong Qin , Pengliang Ji , Xianglong Liu

Large Language Models (LLMs) have transformed natural language processing tasks successfully. Yet, their large size and high computational needs pose challenges for practical use, especially in resource-limited settings. Model compression…

Computation and Language · Computer Science 2024-07-31 Xunyu Zhu , Jian Li , Yong Liu , Can Ma , Weiping Wang

We extend the randomized singular value decomposition (SVD) algorithm \citep{Halko2011finding} to estimate the SVD of a shifted data matrix without explicitly constructing the matrix in the memory. With no loss in the accuracy of the…

Machine Learning · Statistics 2019-12-02 Ali Basirat

The prohibitive sizes of Large Language Models (LLMs) today make it difficult to deploy them on memory-constrained edge devices. This work introduces $\rm CALDERA$ -- a new post-training LLM compression algorithm that harnesses the inherent…

Machine Learning · Computer Science 2024-11-05 Rajarshi Saha , Naomi Sagan , Varun Srivastava , Andrea J. Goldsmith , Mert Pilanci

Large language models deliver strong generative performance but at the cost of massive parameter counts, memory use, and decoding latency. Prior work has shown that pruning and structured sparsity can preserve accuracy under substantial…

Computation and Language · Computer Science 2026-04-17 Andrew Kiruluta

Prompt tuning (PT) offers a cost-effective alternative to fine-tuning large-scale pre-trained language models (PLMs), requiring only a few parameters in soft prompt tokens added before the input text. However, existing PT approaches face…

Computation and Language · Computer Science 2025-02-19 Pengxiang Lan , Haoyu Xu , Enneng Yang , Yuliang Liang , Guibing Guo , Jianzhe Zhao , Xingwei Wang

Large Language Models (LLMs) have enabled remarkable progress in natural language processing, yet their high computational and memory demands pose challenges for deployment in resource-constrained environments. Although recent low-rank…

Computation and Language · Computer Science 2026-02-09 Jiayi Tian , Ryan Solgi , Jinming Lu , Yifan Yang , Hai Li , Zheng Zhang

Large Vision-Language Models (VLMs) exhibit impressive multi-modal capabilities but suffer from prohibitive computational and memory demands, due to their long visual token sequences and massive parameter sizes. To address these issues,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Chengtao Lv , Bilang Zhang , Yang Yong , Ruihao Gong , Yushi Huang , Shiqiao Gu , Jiajun Wu , Yumeng Shi , Jinyang Guo , Wenya Wang

A space-time-parameters structure of parametric parabolic PDEs motivates the application of tensor methods to define reduced order models (ROMs). Within a tensor-based ROM framework, the matrix SVD - a traditional dimension reduction…

Numerical Analysis · Mathematics 2024-08-22 Alexander V. Mamonov , Maxim A. Olshanskii

The singular value decomposition (SVD) is a crucial tool in machine learning and statistical data analysis. However, it is highly susceptible to outliers in the data matrix. Existing robust SVD algorithms often sacrifice speed for…

Machine Learning · Statistics 2024-02-16 Sangil Han , Kyoowon Kim , Sungkyu Jung

Vision-Language-Action (VLA) models have made substantial progress by leveraging the robust capabilities of Visual Language Models (VLMs). However, VLMs' significant parameter size and autoregressive (AR) decoding nature impose considerable…

Machine Learning · Computer Science 2025-09-23 Songsheng Wang , Rucheng Yu , Zhihang Yuan , Chao Yu , Feng Gao , Yu Wang , Derek F. Wong

Supervised Fine-Tuning (SFT) accelerates taskspecific large language models (LLMs) development, but the resulting proliferation of finetuned models incurs substantial memory overhead. Delta compression addresses this by retaining a single…

Machine Learning · Computer Science 2026-04-21 Junlin Li , Shuangyong Song , Guodong Du , Ngai Wong , Xuebo Liu , Yongxiang Li , Min Zhang , Jing Li , Xuelong Li

Large Language Models (LLMs) confront significant memory challenges due to the escalating KV cache with increasing sequence length. As a crucial technique, existing cross-layer KV cache sharing methods either necessitate modified model…

Machine Learning · Computer Science 2025-08-25 Yixuan Wang , Haoyu Qiao , Lujun Li , Qingfu Zhu , Wanxiang Che

Large Language Models (LLMs) have demonstrated impressive quality when applied to predictive tasks such as relevance ranking and semantic search. However, deployment of such LLMs remains prohibitively expensive for industry applications…

As deep learning technology continues to advance, image generation models, especially models like Stable Diffusion, are finding increasingly widespread application in visual arts creation. However, these models often face challenges such as…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Chengcheng Feng , Mu He , Qiuyu Tian , Haojie Yin , Xiaofang Zhao , Hongwei Tang , Xingqiang Wei

In this paper, we propose new randomization based algorithms for large scale linear discrete ill-posed problems with general-form regularization: ${\min} \|Lx\|$ subject to ${\min} \|Ax - b\|$, where $L$ is a regularization matrix. Our…

Numerical Analysis · Mathematics 2019-09-24 Zhongxiao Jia , Yanfei Yang
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