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The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

Machine Learning · Computer Science 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

Over the past decade, various matrix completion algorithms have been developed. Thresholded singular value decomposition (SVD) is a popular technique in implementing many of them. A sizable number of studies have shown its theoretical and…

Methodology · Statistics 2016-05-10 Juhee Cho , Donggyu Kim , Karl Rohe

We propose a new method for compressing physics foundation models (PFMs) which is a new trend in AI for Science. While model compression is essential for reducing memory use and accelerating inference in large foundation models, it remains…

Machine Learning · Computer Science 2026-05-19 Chengjie Hong , Feixiang He , Yiheng Zeng , Lulu Kang , He Wang

A common strategy for Parameter-Efficient Fine-Tuning (PEFT) of pre-trained Vision Transformers (ViTs) involves adapting the model to downstream tasks by learning a low-rank adaptation matrix. This matrix is decomposed into a product of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-31 Wei Dong , Yuan Sun , Yiting Yang , Xing Zhang , Zhijun Lin , Qingsen Yan , Haokui Zhang , Peng Wang , Yang Yang , Hengtao Shen

In this paper, we present a Rank Revealing Randomized Singular Value Decomposition (R3SVD) algorithm to incrementally construct a low-rank approximation of a potentially large matrix while adaptively estimating the appropriate rank that can…

Numerical Analysis · Computer Science 2016-05-27 Hao Ji , Wenjian Yu , Yaohang Li

With the abundance of data in recent years, interesting challenges are posed in the area of recommender systems. Producing high quality recommendations with scalability and performance is the need of the hour. Singular Value…

Machine Learning · Computer Science 2019-07-19 Prasad Bhavana , Vikas Kumar , Vineet Padmanabhan

Large language models have steadily increased in size to achieve improved performance; however, this growth has also led to greater inference time and computational demands. Consequently, there is rising interest in model size reduction…

Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

Machine Learning · Computer Science 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

In this paper, we provide novel algorithms with identifiability guarantees for simplex-structured matrix factorization (SSMF), a generalization of nonnegative matrix factorization. Current state-of-the-art algorithms that provide…

Machine Learning · Computer Science 2021-05-12 Maryam Abdolali , Nicolas Gillis

In this paper, we combine two-step knowledge distillation, structured pruning, truncation, and vocabulary trimming for extremely compressing multilingual encoder-only language models for low-resource languages. Our novel approach…

Computation and Language · Computer Science 2025-11-07 Daniil Gurgurov , Michal Gregor , Josef van Genabith , Simon Ostermann

Existing fine-tuning methods either tune all parameters of the pre-trained model (full fine-tuning), which is not efficient, or only tune the last linear layer (linear probing), which suffers a significant accuracy drop compared to the full…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Dongze Lian , Daquan Zhou , Jiashi Feng , Xinchao Wang

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

With the enactment of privacy-preserving regulations, e.g., GDPR, federated SVD is proposed to enable SVD-based applications over different data sources without revealing the original data. However, many SVD-based applications cannot be…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-05 Di Chai , Leye Wang , Junxue Zhang , Liu Yang , Shuowei Cai , Kai Chen , Qiang Yang

Currently, matrix decomposition is one of the most widely used collaborative filtering algorithms by using factor decomposition to effectively deal with large-scale rating matrix. It mainly uses the interaction records between users and…

Information Retrieval · Computer Science 2023-12-05 Dan Liu , Hou-biao Li

Matched-filtering for the identification of compact object mergers in gravitational-wave antenna data involves the comparison of the data stream to a bank of template gravitational waveforms. Typically the template bank is constructed from…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , J. D. Emberson , Chad Hanna , Drew Keppel , Harald Pfeiffer

We study low-rank parameterizations of weight matrices with embedded spectral properties in the Deep Learning context. The low-rank property leads to parameter efficiency and permits taking computational shortcuts when computing mappings.…

Machine Learning · Computer Science 2021-07-15 Anton Obukhov , Maxim Rakhuba , Alexander Liniger , Zhiwu Huang , Stamatios Georgoulis , Dengxin Dai , Luc Van Gool

Recent research has shown that pruning large-scale language models for inference is an effective approach to improving model efficiency, significantly reducing model weights with minimal impact on performance. Interestingly, pruning can…

Computation and Language · Computer Science 2025-02-19 Yiran Luo , Het Patel , Yu Fu , Dawon Ahn , Jia Chen , Yue Dong , Evangelos E. Papalexakis

With the dramatically increased number of parameters in language models, sparsity methods have received ever-increasing research focus to compress and accelerate the models. While most research focuses on how to accurately retain…

Artificial Intelligence · Computer Science 2022-05-24 Yuchao Li , Fuli Luo , Chuanqi Tan , Mengdi Wang , Songfang Huang , Shen Li , Junjie Bai

Recommendation from implicit feedback is a highly challenging task due to the lack of the reliable observed negative data. A popular and effective approach for implicit recommendation is to treat unobserved data as negative but downweight…

Information Retrieval · Computer Science 2020-03-05 Jiawei Chen , Can Wang , Sheng Zhou , Qihao Shi , Jingbang Chen , Yan Feng , Chun Chen

Collaborative filtering (CF) has been successfully used to provide users with personalized products and services. However, dealing with the increasing sparseness of user-item matrix still remains a challenge. To tackle such issue, hybrid CF…

Information Retrieval · Computer Science 2017-06-14 Shuai Zhang , Lina Yao , Xiwei Xu
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