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Low Rank Decomposition (LRD) is a model compression technique applied to the weight tensors of deep learning models in order to reduce the number of trainable parameters and computational complexity. However, due to high number of new…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Yang Liu

On-device learning has emerged as a promising direction for AI development, particularly because of its potential to reduce latency issues and mitigate privacy risks associated with device-server communication, while improving energy…

Machine Learning · Computer Science 2025-07-25 Le-Trung Nguyen , Ael Quelennec , Van-Tam Nguyen , Enzo Tartaglione

Randomized sampling has recently been proven a highly efficient technique for computing approximate factorizations of matrices that have low numerical rank. This paper describes an extension of such techniques to a wider class of matrices…

Numerical Analysis · Mathematics 2015-03-25 Per-Gunnar Martinsson

The compression of deep learning models is of fundamental importance in deploying such models to edge devices. The selection of compression parameters can be automated to meet changes in the hardware platform and application using…

Machine Learning · Computer Science 2022-01-21 Nesma M. Rezk , Tomas Nordström , Dimitrios Stathis , Zain Ul-Abdin , Eren Erdal Aksoy , Ahmed Hemani

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

Current image compression models often require separate models for each quality level, making them resource-intensive in terms of both training and storage. To address these limitations, we propose an innovative approach that utilizes…

Image and Video Processing · Electrical Eng. & Systems 2025-09-30 Ayman A. Ameen , Thomas Richter , André Kaup

Low-rank training methods reduce the number of trainable parameters by re-parameterizing the weights with matrix decompositions (e.g., singular value decomposition). However, enforcing a fixed low-rank structure caps the rank of the weight…

Machine Learning · Computer Science 2025-10-16 Hyuntak Shin , Aecheon Jung , Sungeun Hong , Sunwoo Lee

As state of the art neural networks (NNs) continue to grow in size, their resource-efficient implementation becomes ever more important. In this paper, we introduce a compression scheme that reduces the number of computations required for…

Machine Learning · Computer Science 2025-04-25 Hans Rosenberger , Rodrigo Fischer , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller

Quantization is critical for efficiently deploying large language models (LLMs). Yet conventional methods remain hardware-agnostic, limited to bit-width constraints, and do not account for intrinsic circuit characteristics such as the…

Hardware Architecture · Computer Science 2025-11-18 Rohan Juneja , Shivam Aggarwal , Safeen Huda , Tulika Mitra , Li-Shiuan Peh

This paper introduces a dynamic, error-bounded hierarchical matrix (H-matrix) compression method tailored for Physics-Informed Neural Networks (PINNs). The proposed approach reduces the computational complexity and memory demands of…

Machine Learning · Computer Science 2024-09-26 John Mango , Ronald Katende

The box-covering method plays a fundamental role in the fractal property recognition and renormalization analysis of complex networks. This study proposes the hub-collision avoidance and leaf-node options (HALO) algorithm. In the box…

Physics and Society · Physics 2024-01-05 Feiyan Guo , Jiajun Zhou , Zhongyuan Ruan , Jian Zhang , Lin Qi

Large language models (LLMs) excel in general tasks but struggle with domain-specific ones, requiring fine-tuning with specific data. With many open-source LLMs available, selecting the best model for fine-tuning downstream tasks is…

Computation and Language · Computer Science 2025-09-05 Wei Huang , Huang Wei , Yinggui Wang

Low-rank metric learning aims to learn better discrimination of data subject to low-rank constraints. It keeps the intrinsic low-rank structure of datasets and reduces the time cost and memory usage in metric learning. However, it is still…

Machine Learning · Computer Science 2019-09-16 Han Liu , Zhizhong Han , Yu-Shen Liu , Ming Gu

In this paper, we study first-order methods on a large variety of low-rank matrix optimization problems, whose solutions only live in a low dimensional eigenspace. Traditional first-order methods depend on the eigenvalue decomposition at…

Optimization and Control · Mathematics 2019-04-25 Yongfeng Li , Haoyang Liu , Zaiwen Wen , Yaxiang Yuan

This paper proposes an efficient algorithm (HOLRR) to handle regression tasks where the outputs have a tensor structure. We formulate the regression problem as the minimization of a least square criterion under a multilinear rank…

Machine Learning · Computer Science 2016-02-23 Guillaume Rabusseau , Hachem Kadri

Low-rank matrix approximation plays an important role in various applications such as image processing, signal processing and data analysis. The existing methods require a guess of the ranks of matrices that represent images or involve…

Numerical Analysis · Mathematics 2025-07-01 Weiwei Xu , Weijie Shen , Chang Liu , Zhigang Jia

Deep Learning models have experienced exponential growth in complexity and resource demands in recent years. Accelerating these models for efficient execution on resource-constrained devices has become more crucial than ever. Two notable…

Machine Learning · Computer Science 2024-08-09 Inas Bachiri , Hadjer Benmeziane , Smail Niar , Riyadh Baghdadi , Hamza Ouarnoughi , Abdelkrime Aries

It has been known in potential theory that, for some kernels matrices corresponding to well-separated point sets, fast analytical low-rank approximation can be achieved via the use of proxy points. This proxy point method gives a…

Numerical Analysis · Mathematics 2019-03-22 Xin Ye , Jianlin Xia , Lexing Ying

The efficient compression of large language models (LLMs) has become increasingly popular. However, recovering the performance of compressed LLMs remains a major challenge. The current practice in LLM compression entails the implementation…

Computation and Language · Computer Science 2024-12-17 Changhai Zhou , Shijie Han , Lining Yang , Yuhua Zhou , Xu Cheng , Yibin Wang , Hongguang Li

Structured pruning is a commonly used convolutional neural network (CNN) compression approach. Pruning rate setting is a fundamental problem in structured pruning. Most existing works introduce too many additional learnable parameters to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Pucheng Zhai , Kailing Guo , Fang Liu , Xiaofen Xing , Xiangmin Xu