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Multi-dimensional data completion is a critical problem in computational sciences, particularly in domains such as computer vision, signal processing, and scientific computing. Existing methods typically leverage either global low-rank…

Machine Learning · Computer Science 2025-08-07 Wenwu Gong , Lili Yang

The scale of transformer model pre-training is constrained by the increasing computation and communication cost. Low-rank bottleneck architectures offer a promising solution to significantly reduce the training time and memory footprint…

Machine Learning · Computer Science 2026-05-13 Zhengyang Wang , Ziyue Liu , Ruijie Zhang , Avinash Maurya , Paul Hovland , Bogdan Nicolae , Franck Cappello , Zheng Zhang

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Compressing neural networks is a key step when deploying models for real-time or embedded applications. Factorizing the model's matrices using low-rank approximations is a promising method for achieving compression. While it is possible to…

Machine Learning · Computer Science 2023-10-20 Lucas Maison , Hélion du Mas des Bourboux , Thomas Courtat

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

Machine Learning · Computer Science 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang

Traditional post-training quantization (PTQ) is considered an effective approach to reduce model size and accelerate inference of large-scale language models (LLMs). However, existing low-rank PTQ methods require costly fine-tuning to…

Machine Learning · Computer Science 2026-01-12 Hongyaoxing Gul , Lijuan Hu , Shuzi Niu , Fangfang Liu

Handling the ever-increasing scale of contemporary deep learning and transformer-based models poses a significant challenge. Overparameterized Transformer networks outperform prior art in Natural Language processing and Computer Vision.…

Machine Learning · Computer Science 2024-11-05 Soheil Zibakhsh Shabgahi , Mohammad Sohail Shariff , Farinaz Koushanfar

Matrix learning is at the core of many machine learning problems. A number of real-world applications such as collaborative filtering and text mining can be formulated as a low-rank matrix completion problem, which recovers incomplete…

Machine Learning · Computer Science 2021-02-23 Yaqing Wang , Quanming Yao , James T. Kwok

Deployment of neural networks on resource-constrained devices demands models that are both compact and robust to adversarial inputs. However, compression and adversarial robustness often conflict. In this work, we introduce a dynamical…

Machine Learning · Computer Science 2025-09-24 Steffen Schotthöfer , H. Lexie Yang , Stefan Schnake

Low-rankness plays an important role in traditional machine learning, but is not so popular in deep learning. Most previous low-rank network compression methods compress networks by approximating pre-trained models and re-training. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Kailing Guo , Zhenquan Lin , Canyang Chen , Xiaofen Xing , Fang Liu , Xiangmin Xu

Adapting deep learning models to new domains often requires computationally intensive retraining and risks catastrophic forgetting. While fine-tuning enables domain-specific adaptation, it can reduce robustness to distribution shifts,…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Reza Akbarian Bafghi , Carden Bagwell , Avinash Ravichandran , Ashish Shrivastava , Maziar Raissi

We propose a general framework for reduced-rank modeling of matrix-valued data. By applying a generalized nuclear norm penalty we can directly model low-dimensional latent variables associated with rows and columns. Our framework flexibly…

Machine Learning · Statistics 2017-08-23 William Fithian , Rahul Mazumder

We present flattened convolutional neural networks that are designed for fast feedforward execution. The redundancy of the parameters, especially weights of the convolutional filters in convolutional neural networks has been extensively…

Neural and Evolutionary Computing · Computer Science 2015-11-23 Jonghoon Jin , Aysegul Dundar , Eugenio Culurciello

Even in times of deep learning, low-rank approximations by factorizing a matrix into user and item latent factors continue to be a method of choice for collaborative filtering tasks due to their great performance. While deep learning based…

Information Retrieval · Computer Science 2019-05-31 Marcel Kurovski , Florian Wilhelm

Incorporating stochasticity into the training process of deep convolutional networks is a widely used technique to reduce overfitting and improve regularization. Existing techniques often require modifying the architecture of the network by…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Evgeny Hershkovitch Neiterman , Gil Ben-Artzi

Adapting models pre-trained on large-scale datasets to a variety of downstream tasks is a common strategy in deep learning. Consequently, parameter-efficient fine-tuning methods have emerged as a promising way to adapt pre-trained models to…

Computer Vision and Pattern Recognition · Computer Science 2024-04-01 Ahmed Agiza , Marina Neseem , Sherief Reda

There exist many high-dimensional data in real-world applications such as biology, computer vision, and social networks. Feature selection approaches are devised to confront with high-dimensional data challenges with the aim of efficient…

Machine Learning · Computer Science 2021-06-22 Mohsen Ghassemi Parsa , Hadi Zare , Mehdi Ghatee

Deep learning networks excel at classification, yet identifying minimal architectures that reliably solve a task remains challenging. We present a computational methodology for systematically exploring and analyzing the relationships among…

Machine Learning · Computer Science 2026-01-27 Ziwei Zheng , Huizhi Liang , Vaclav Snasel , Vito Latora , Panos Pardalos , Giuseppe Nicosia , Varun Ojha

The components underpinning PLMs -- large weight matrices -- were shown to bear considerable redundancy. Matrix factorization, a well-established technique from matrix theory, has been utilized to reduce the number of parameters in PLM.…

Computation and Language · Computer Science 2023-06-27 Siyu Ren , Kenny Q. Zhu

Estimating the uncertainty of responses from Large Language Models (LLMs) remains a critical challenge. While recent Bayesian methods have demonstrated effectiveness in quantifying uncertainty through low-rank weight updates, they typically…

Machine Learning · Statistics 2025-09-29 Haizhou Shi , Yibin Wang , Ligong Han , Huan Zhang , Hao Wang