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Video large language models (Video-LLMs) face high computational costs due to large volumes of visual tokens. Existing token compression methods typically adopt a two-stage spatiotemporal compression strategy, relying on stage-specific…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Junhao Du , Jialong Xue , Anqi Li , Jincheng Dai , Guo Lu

In this article, we consider the sparse tensor singular value decomposition, which aims for dimension reduction on high-dimensional high-order data with certain sparsity structure. A method named Sparse Tensor Alternating Thresholding for…

Statistics Theory · Mathematics 2024-07-09 Anru Zhang , Rungang Han

Updating a truncated Singular Value Decomposition (SVD) is crucial in representation learning, especially when dealing with large-scale data matrices that continuously evolve in practical scenarios. Aligning SVD-based models with fast-paced…

Numerical Analysis · Mathematics 2024-01-19 Haoran Deng , Yang Yang , Jiahe Li , Cheng Chen , Weihao Jiang , Shiliang Pu

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

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

Truncated Singular Value Decomposition (SVD) calculates the closest rank-$k$ approximation of a given input matrix. Selecting the appropriate rank $k$ defines a critical model order choice in most applications of SVD. To obtain a principled…

Information Theory · Computer Science 2013-01-08 Mario Frank , Joachim M. Buhmann

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

Large Language Models (LLMs) have exhibited remarkable proficiency across a wide array of NLP tasks. However, the escalation in model size also engenders substantial deployment costs. While few efforts have explored model pruning techniques…

Computation and Language · Computer Science 2024-05-13 Nan Zhang , Yanchi Liu , Xujiang Zhao , Wei Cheng , Runxue Bao , Rui Zhang , Prasenjit Mitra , Haifeng Chen

Small Language Models (SLMs) have become increasingly important due to their efficiency and performance to perform various language tasks with minimal computational resources, making them ideal for various settings including on-device,…

We propose an efficient, distributed, out-of-memory implementation of the truncated singular value decomposition (t-SVD) for heterogeneous (CPU+GPU) high performance computing (HPC) systems. Various implementations of SVD have been…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-18 Ismael Boureima , Manish Bhattarai , Maksim E. Eren , Nick Solovyev , Hristo Djidjev , Boian S. Alexandrov

In this work, we aim to compress the vision tokens of a Large Vision Language Model (LVLM) into a representation that is simultaneously suitable for (a) generative and (b) discriminative tasks, (c) is nearly lossless, and (d) is…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Adrian Bulat , Yassine Ouali , Georgios Tzimiropoulos

As Large Language Models (LLMs) continue to scale in parameter count, deploying them on commodity hardware has become increasingly challenging. Post-Training Quantization (PTQ) addresses this by reducing the precision of model weights,…

Machine Learning · Computer Science 2025-12-03 Shashank Landge , Abhishek Patil , Tejas kamble , Bhushan Buddhivant , Priyanka Joshi

Vision-language models (VLMs) have achieved remarkable multimodal understanding and reasoning capabilities, yet remain computationally expensive due to dense visual tokenization. Existing efficiency approaches either merge redundant visual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Aditya Kumar Singh , Hitesh Kandala , Pratik Prabhanjan Brahma , Zicheng Liu , Emad Barsoum

The singular value decomposition (SVD) is not only a classical theory in matrix computation and analysis, but also is a powerful tool in machine learning and modern data analysis. In this tutorial we first study the basic notion of SVD and…

Machine Learning · Computer Science 2015-10-30 Zhihua Zhang

Large pre-trained models (LPMs) have demonstrated exceptional performance in diverse natural language processing and computer vision tasks. However, fully fine-tuning these models poses substantial memory challenges, particularly in…

Machine Learning · Computer Science 2024-09-12 Chengwei Sun , Jiwei Wei , Yujia Wu , Yiming Shi , Shiyuan He , Zeyu Ma , Ning Xie , Yang Yang

Vision-language models (VLMs) have transformed multimodal reasoning, but feeding hundreds of visual patch tokens into LLMs incurs quadratic computational costs, straining memory and context windows. Traditional approaches face a trade-off:…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Jusheng Zhang , Xiaoyang Guo , Kaitong Cai , Qinhan Lv , Yijia Fan , Wenhao Chai , Jian Wang , Keze Wang

Video large language models (VideoLLM) excel at video understanding, but face efficiency challenges due to the quadratic complexity of abundant visual tokens. Our systematic analysis of token compression methods for VideoLLMs reveals two…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Xuyang Liu , Yiyu Wang , Junpeng Ma , Linfeng Zhang

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

We introduce Variational Latent Mode Decomposition (VLMD), a new algorithm for extracting oscillatory modes and associated connectivity structures from multivariate signals. VLMD addresses key limitations of existing Multivariate Mode…

Machine Learning · Computer Science 2025-05-26 Manuel Morante , Naveed ur Rehman

Singular Value Decomposition (SVD) is a powerful tool in linear algebra.We propose an extension of SVD for both the qualitative detection and quantitative determination of nonlinearity in a time series. The paper illustrates nonlinear SVD…

Chaotic Dynamics · Physics 2009-02-11 Prabhakar G. Vaidya , Sajini Anand P. S , Nithin Nagaraj
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