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Sparse hyperspectral unmixing from large spectral libraries has been considered to circumvent limitations of endmember extraction algorithms in many applications. This strategy often leads to ill-posed inverse problems, which can benefit…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

Spatial transcriptomics (ST) is a novel technique that simultaneously captures pathological images and gene expression profiling with spatial coordinates. Since ST is closely related to pathological features such as disease subtypes, it may…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Kazuya Nishimura , Ryoma Bise , Yasuhiro Kojima

Recent works on adaptive sparse and on low-rank signal modeling have demonstrated their usefulness in various image / video processing applications. Patch-based methods exploit local patch sparsity, whereas other works apply low-rankness of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Bihan Wen , Yanjun Li , Yoram Bresler

Object: Modern computational MRI denoising approaches are often designed assuming fixed k-space coverage. This contrasts with earlier acquisition-design literature that leveraged k-space coverage modifications (e.g., reducing spatial…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Jiayang Wang , Justin P. Haldar

We propose a kernel regression method to predict a target signal lying over a graph when an input observation is given. The input and the output could be two different physical quantities. In particular, the input may not be a graph signal…

Information Theory · Computer Science 2019-08-02 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

Current state-of-the-art methods of image classification using convolutional neural networks are often constrained by both latency and power consumption. This places a limit on the devices, particularly low-power edge devices, that can…

Neural and Evolutionary Computing · Computer Science 2021-10-22 Peyton Chandarana , Junlin Ou , Ramtin Zand

Spatial transcriptomics (ST) provides high-resolution pathological images and whole-transcriptomic expression profiles at individual spots across whole-slide scales. This setting makes it an ideal data source to develop multimodal…

Computer Vision and Pattern Recognition · Computer Science 2024-11-27 Yuxiang Lin , Ling Luo , Ying Chen , Xushi Zhang , Zihui Wang , Wenxian Yang , Mengsha Tong , Rongshan Yu

In image denoising (IDN) processing, the low-rank property is usually considered as an important image prior. As a convex relaxation approximation of low rank, nuclear norm based algorithms and their variants have attracted significant…

Image and Video Processing · Electrical Eng. & Systems 2020-04-03 Yanwei Zhao , Ping Yang , Qiu Guan , Jianwei Zheng , Wanliang Wang

Sparse regression methods have been proven effective in a wide range of signal processing problems such as image compression, speech coding, channel equalization, linear regression and classification. In this paper a new convex method of…

Optimization and Control · Mathematics 2018-03-07 Victor Stefan Aldea

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

Image downscaling is a fundamental operation in image processing, crucial for adapting high-resolution content to various display and storage constraints. While classic methods often introduce blurring or aliasing, recent learning-based…

Image and Video Processing · Electrical Eng. & Systems 2025-11-04 Piyush Narhari Pise , Sanjay Ghosh

One popular strategy for image denoising is to design a generalized regularization term that is capable of exploring the implicit prior underlying data observation. Convolutional neural networks (CNN) have shown the powerful capability to…

Image and Video Processing · Electrical Eng. & Systems 2019-10-22 Peng Liu , Xiaoxiao Zhou , Junyiyang Li , El Basha Mohammad D , Ruogu Fang

The detection of nuclei is one of the most fundamental components of computational pathology. Current state-of-the-art methods are based on deep learning, with the prerequisite that extensive labeled datasets are available. The increasing…

Image and Video Processing · Electrical Eng. & Systems 2019-07-11 Nicolas Brieu , Armin Meier , Ansh Kapil , Ralf Schoenmeyer , Christos G. Gavriel , Peter D. Caie , Günter Schmidt

Limited data and low dose constraints are common problems in a variety of tomographic reconstruction paradigms which lead to noisy and incomplete data. Over the past few years sinogram denoising has become an essential pre-processing step…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Faisal Mahmood , Nauman Shahid , Pierre Vandergheynst , Ulf Skoglund

In recent years, Diffusion Models have become the new state-of-the-art in deep generative modeling, ending the long-time dominance of Generative Adversarial Networks. Inspired by the Regularization by Denoising principle, we introduce an…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Pasquale Cascarano , Lorenzo Stacchio , Andrea Sebastiani , Alessandro Benfenati , Ulugbek S. Kamilov , Gustavo Marfia

Random smoothing data augmentation is a unique form of regularization that can prevent overfitting by introducing noise to the input data, encouraging the model to learn more generalized features. Despite its success in various…

Machine Learning · Statistics 2023-05-15 Liang Ding , Tianyang Hu , Jiahang Jiang , Donghao Li , Wenjia Wang , Yuan Yao

Machine learning (ML) methods are extraordinarily successful at denoising photographic images. The application of such denoising methods to scientific images is, however, often complicated by the difficulty in experimentally obtaining a…

Existing methods of vector autoregressive model for multivariate time series analysis make use of low-rank matrix approximation or Tucker decomposition to reduce the dimension of the over-parameterization issue. In this paper, we propose a…

Statistics Theory · Mathematics 2026-01-05 Sijia Xia , Michael K. Ng , Xiongjun Zhang

This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential feature is to encode the image via a sparse vector field,…

Optimization and Control · Mathematics 2015-03-09 Eva-Maria Brinkmann , Martin Burger , Joana Grah

The goal of this paper is the development of a novel approach for the problem of Noise Removal, based on the theory of Reproducing Kernels Hilbert Spaces (RKHS). The problem is cast as an optimization task in a RKHS, by taking advantage of…

Computer Vision and Pattern Recognition · Computer Science 2010-11-30 Pantelis Bouboulis , Sergios Theodoridis