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We propose new algorithms for singular value decomposition (SVD) of very large-scale matrices based on a low-rank tensor approximation technique called the tensor train (TT) format. The proposed algorithms can compute several dominant…

Numerical Analysis · Mathematics 2016-02-11 Namgil Lee , Andrzej Cichocki

Personalized text-to-image models such as DreamBooth require fine-tuning large-scale diffusion backbones, resulting in significant storage overhead when maintaining many subject-specific models. We present Delta-SVD, a post-hoc,…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Tangyuan Zhang , Shangyu Chen , Qixiang Chen , Jianfei Cai

Low-rank decomposition has emerged as an important problem in Large Language Model (LLM) fine-tuning and inference. Through Singular Value Decomposition (SVD), the weight matrix can be factorized into low-rank spaces optimally. Previously,…

Machine Learning · Computer Science 2026-04-02 Yuhang Li , Donghyun Lee , Ruokai Yin , Priyadarshini Panda

Approaches for compressing large-language models using low-rank decomposition have made strides, particularly with the introduction of activation and loss-aware SVD, which improves the trade-off between decomposition rank and downstream…

Machine Learning · Computer Science 2025-12-17 Sidhant Sundrani , Francesco Tudisco , Pasquale Minervini

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

Information Theory · Computer Science 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Continual Learning (CL) in Automatic Speech Recognition (ASR) suffers from catastrophic forgetting when adapting to new tasks, domains, or speakers. A common strategy to mitigate this is to store a subset of past data in memory for…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-06 Steven Vander Eeckt , Hugo Van hamme

This paper presents a new method capable of reconstructing datasets with great precision and very low computational cost using a novel variant of the singular value decomposition (SVD) algorithm that has been named low-cost SVD (lcSVD).…

Computational Engineering, Finance, and Science · Computer Science 2023-11-20 Ashton Hetherington , Soledad Le Clainche

Large language models (LLMs) have achieved outstanding performance in natural language processing, but enormous model sizes and high computational costs limit their practical deployment. Structured pruning can effectively reduce the…

Computation and Language · Computer Science 2025-03-11 Jun Kong , Xinge Ma , Jin Wang , Xuejie Zhang

With the rapid development of natural language processing technology, large-scale language models (LLM) have achieved remarkable results in a variety of tasks. However, how to effectively train these huge models and improve their…

Artificial Intelligence · Computer Science 2024-12-09 Jiajing Chen , Bingying Liu , Xiaoxuan Liao , Jia Gao , Hongye Zheng , Yue Li

This article applies low-cost singular value decomposition (lcSVD) for the first time, to the authors knowledge, on combustion reactive flow databases. The lcSVD algorithm is a novel approach to SVD, suitable for calculating high-resolution…

Fluid Dynamics · Physics 2025-04-01 Prajith Pillai , Ashton Hetherington , Laura Saavedra Sago , Soledad Le Clainche

On-device recommendation is critical for a number of real-world applications, especially in scenarios that have agreements on execution latency, user privacy, and robust functionality when internet connectivity is unstable or even…

Information Retrieval · Computer Science 2026-01-15 Xin Xia , Hongzhi Yin , Shane Culpepper

Large Language Models (LLMs) can perform many NLP tasks well, but fully fine-tuning them is expensive and requires a lot of memory. Parameter-Efficient Fine-Tuning (PEFT) methods such as LoRA reduce this cost by adding small low-rank…

Machine Learning · Computer Science 2025-12-19 Anshul Kumar , Gagan Raj Gupta , Manisha Chawla

We propose Adaptive Compressed Gradient Descent (AdaCGD) - a novel optimization algorithm for communication-efficient training of supervised machine learning models with adaptive compression level. Our approach is inspired by the recently…

Machine Learning · Computer Science 2022-11-02 Maksim Makarenko , Elnur Gasanov , Rustem Islamov , Abdurakhmon Sadiev , Peter Richtarik

The advancements in large language models (LLMs) have propelled the improvement of video understanding tasks by incorporating LLMs with visual models. However, most existing LLM-based models (e.g., VideoLLaMA, VideoChat) are constrained to…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Yuanbin Man , Ying Huang , Chengming Zhang , Bingzhe Li , Wei Niu , Miao Yin

The Randomized Singular Value Decomposition (RSVD) is a widely used algorithm for efficiently computing low-rank approximations of large matrices, without the need to construct a full-blown SVD. Of interest, of course, is the approximation…

Numerical Analysis · Mathematics 2025-10-09 Danil Akhtiamov , Reza Ghane , Babak Hassibi

We study neural image compression based on the Sparse Visual Representation (SVR), where images are embedded into a discrete latent space spanned by learned visual codebooks. By sharing codebooks with the decoder, the encoder transfers…

Computer Vision and Pattern Recognition · Computer Science 2024-03-01 Wei Jiang , Wei Wang , Yue Chen

We provide a new LLM-compression solution via SVD, unlocking new possibilities for LLM compression beyond quantization and pruning. We point out that the optimal use of SVD lies in truncating activations, rather than merely using…

Machine Learning · Computer Science 2025-02-06 Qinsi Wang , Jinghan Ke , Masayoshi Tomizuka , Yiran Chen , Kurt Keutzer , Chenfeng Xu

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

Visual question answering aims to provide responses to natural language questions given visual input. Recently, visual programmatic models (VPMs), which generate executable programs to answer questions through large language models (LLMs),…

Artificial Intelligence · Computer Science 2024-07-30 Mahiro Ukai , Shuhei Kurita , Atsushi Hashimoto , Yoshitaka Ushiku , Nakamasa Inoue

Stochastic gradient-based descent (SGD), have long been central to training large language models (LLMs). However, their effectiveness is increasingly being questioned, particularly in large-scale applications where empirical evidence…

Machine Learning · Computer Science 2025-07-03 Di Zhang , Yihang Zhang