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Sparse coding has achieved a great success in various image processing studies. However, there is not any benchmark to measure the sparsity of image patch/group because sparse discriminant conditions cannot keep unchanged. This paper…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Zhiyuan Zha , Xin Liu , Xiaohua Huang , Henglin Shi , Yingyue Xu , Qiong Wang , Lan Tang , Xinggan Zhang

In this work, we propose norm-bounded low-rank adaptation (NB-LoRA) for parameter-efficient fine tuning. NB-LoRA is a novel parameterization of low-rank weight adaptations that admits explicit bounds on each singular value of the adaptation…

Machine Learning · Computer Science 2025-09-30 Ruigang Wang , Krishnamurthy Dvijotham , Ian R. Manchester

To enable DNNs on edge devices like mobile phones, low-rank approximation has been widely adopted because of its solid theoretical rationale and efficient implementations. Several previous works attempted to directly approximate a…

Machine Learning · Computer Science 2020-05-01 Yuhui Xu , Yuxi Li , Shuai Zhang , Wei Wen , Botao Wang , Yingyong Qi , Yiran Chen , Weiyao Lin , Hongkai Xiong

The large volume and complexity of medical imaging datasets are bottlenecks for storage, transmission, and processing. To tackle these challenges, the application of low-rank matrix approximation (LRMA) and its derivative, local LRMA…

Image and Video Processing · Electrical Eng. & Systems 2025-02-28 Sisipho Hamlomo , Marcellin Atemkeng , Yusuf Brima , Chuneeta Nunhokee , Jeremy Baxter

The prohibitive sizes of Large Language Models (LLMs) today make it difficult to deploy them on memory-constrained edge devices. This work introduces $\rm CALDERA$ -- a new post-training LLM compression algorithm that harnesses the inherent…

Machine Learning · Computer Science 2024-11-05 Rajarshi Saha , Naomi Sagan , Varun Srivastava , Andrea J. Goldsmith , Mert Pilanci

The problem of recovering a low $n$-rank tensor is an extension of sparse recovery problem from the low dimensional space (matrix space) to the high dimensional space (tensor space) and has many applications in computer vision and graphics…

Optimization and Control · Mathematics 2014-04-09 Min Zhang , Lei Yang , Zheng-Hai Huang

Inspired by the fact that the matrix formulated by nonlocal similar patches in a natural image is of low rank, the rank approximation issue have been extensively investigated over the past decades, among which weighted nuclear norm…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Qing-Hua Zhang , Liang-Tian He , Yi-Lun Wang , Liang-Jian Deng , Jun Liu

The paper presents an image denoising algorithm by combining a method that is based on directional quasi-analytic wavelet packets (qWPs) with the popular BM3D algorithm. The qWPs and its corresponding transforms are designed in [1]. The…

Image and Video Processing · Electrical Eng. & Systems 2022-06-10 Amir Averbuch , Pekka Neittaanmaki , Valery Zheludev , Moshe Salhov , Jonathan Hauser

The Matrix Bandwidth Minimization Problem (MBMP) seeks for a simultaneous reordering of the rows and the columns of a square matrix such that the nonzero entries are collected within a band of small width close to the main diagonal. The…

Artificial Intelligence · Computer Science 2020-07-28 Gabriela Czibula , Gloria Cerasela Crisan , Camelia-M. Pintea , Istvan-Gergely Czibula

The low rank tensor completion (LRTC) problem has attracted great attention in computer vision and signal processing. How to acquire high quality image recovery effect is still an urgent task to be solved at present. This paper proposes a…

Numerical Analysis · Mathematics 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Over the years, computational imaging with accurate nonlinear physical models has garnered considerable interest due to its ability to achieve high-quality reconstructions. However, using such nonlinear models for reconstruction is…

Optimization and Control · Mathematics 2026-02-24 Tao Hong , Thanh-an Pham , Irad Yavneh , Michael Unser

Low-rank learning has attracted much attention recently due to its efficacy in a rich variety of real-world tasks, e.g., subspace segmentation and image categorization. Most low-rank methods are incapable of capturing low-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

Flat regions of the neural network loss landscape have long been hypothesized to correlate with better generalization properties. A closely related but distinct problem is training models that are robust to internal perturbations to their…

Machine Learning · Computer Science 2026-02-10 Philip Jacobson , Ben Feinberg , Suhas Kumar , Sapan Agarwal , T. Patrick Xiao , Christopher Bennett

We address the detection of material defects, which are inside a layered material structure using compressive sensing based multiple-input and multiple-output (MIMO) wireless radar. Here, the strong clutter due to the reflection of the…

Signal Processing · Electrical Eng. & Systems 2022-04-18 Udaya S. K. P. Miriya Thanthrige , Peter Jung , Aydin Sezgin

Registration networks have shown great application potentials in medical image analysis. However, supervised training methods have a great demand for large and high-quality labeled datasets, which is time-consuming and sometimes impractical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Dengqiang Jia , Shangqi Gao , Qunlong Chen , Xinzhe Luo , Xiahai Zhuang

Many computer vision problems can be posed as learning a low-dimensional subspace from high dimensional data. The low rank matrix factorization (LRMF) represents a commonly utilized subspace learning strategy. Most of the current LRMF…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Xiangyong Cao , Qian Zhao , Deyu Meng , Yang Chen , Zongben Xu

Purpose: Deep neural networks (DNNs) have been widely applied in medical image classification, benefiting from its powerful mapping capability among medical images. However, these existing deep learning-based methods depend on an enormous…

Computer Vision and Pattern Recognition · Computer Science 2022-10-12 Mengdi Gao , Ximeng Feng , Mufeng Geng , Zhe Jiang , Lei Zhu , Xiangxi Meng , Chuanqing Zhou , Qiushi Ren , Yanye Lu

Nowadays, many applications rely on images of high quality to ensure good performance in conducting their tasks. However, noise goes against this objective as it is an unavoidable issue in most applications. Therefore, it is essential to…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 Ahmed Ben Said , Rachid Hadjidj , Kamel Eddine Melkemi , Sebti Foufou

Subspace clustering refers to the problem of segmenting a set of data points approximately drawn from a union of multiple linear subspaces. Aiming at the subspace clustering problem, various subspace clustering algorithms have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2016-10-17 Yu Song , Yiquan Wu

Matrix rank minimization (RM) problems recently gained extensive attention due to numerous applications in machine learning, system identification and graphical models. In RM problem, one aims to find the matrix with the lowest rank that…

Information Theory · Computer Science 2011-02-22 Amin Khajehnejad , Samet Oymak , Babak Hassibi