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Hyperspectral unmixing (HSU) aims to separate each pixel into its constituent endmembers and estimate their corresponding abundance fractions. This work presents an algorithm-unrolling-based network for the HSU task, named the 3D…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Gargi Panda , Soumitra Kundu , Saumik Bhattacharya , Aurobinda Routray

Hyperspectral image (HSI) and multispectral image (MSI) fusion aims at producing a super-resolution image (SRI). In this paper, we establish a nonconvex optimization model for image fusion problems through low-rank tensor triple…

Optimization and Control · Mathematics 2024-04-02 Xiaofei Cui , Jingya Chang

Hyperdimensional Computing (HDC) is an emerging computational paradigm for representing compositional information as high-dimensional vectors, and has a promising potential in applications ranging from machine learning to neuromorphic…

Information Theory · Computer Science 2024-03-07 Netanel Raviv

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

Powerful deep learning algorithms open an opportunity for solving non-image Machine Learning (ML) problems by transforming these problems to into the image recognition problems. The CPC-R algorithm presented in this chapter converts…

Machine Learning · Computer Science 2022-02-11 Boris Kovalerchuk , Divya Chandrika Kalla , Bedant Agarwal

We investigate the efficient combination of the canonical polyadic decomposition (CPD) and tensor hyper-contraction (THC) approaches. We first present a novel low-cost CPD solver which leverages a precomputed THC factorization of an…

Chemical Physics · Physics 2025-05-28 Karl Pierce , Miguel Morales

Hyperspectral remote sensing is a prominent research topic in data processing. Most of the spectral unmixing algorithms are developed by adopting the linear mixing models. Nonnegative matrix factorization (NMF) and its developments are used…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Tensor decomposition models play an increasingly important role in modern data science applications. One problem of particular interest is fitting a low-rank Canonical Polyadic (CP) tensor decomposition model when the tensor has sparse…

Numerical Analysis · Mathematics 2020-12-04 Jeremy M. Myers , Daniel M. Dunlavy , Keita Teranishi , D. S. Hollman

Currently, image-denoising methods based on deep learning cannot adequately reconcile contextual semantic information and spatial details. To take these information optimizations into consideration, in this paper, we propose a Context-Space…

Computer Vision and Pattern Recognition · Computer Science 2023-05-18 Yuqi Jiang , Chune Zhang , Jiao Liu

Convolutional neural networks (CNNs) have become increasingly difficult to deploy in resource-constrained environments due to their large memory and computational requirements. Although low-rank compression methods can reduce this burden,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Sisipho Hamlomo , Marcellin Atemkeng , Habte Tadesse Likassa , Blaise Ravelo , Thierry Bouwmans , Sébastien Lalléchère , Antoine Vacavant , Ding-Geng Chen

Tensor decompositions, such as CANDECOMP/PARAFAC (CP), are widely used in a variety of applications, such as chemometrics, signal processing, and machine learning. A broadly used method for computing such decompositions relies on the…

Mathematical Software · Computer Science 2022-05-02 Christos Psarras , Lars Karlsson , Rasmus Bro , Paolo Bientinesi

The joint hyperspectral image (HSI) and LiDAR data classification aims to interpret ground objects at more detailed and precise level. Although deep learning methods have shown remarkable success in the multisource data classification task,…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Meng Wang , Feng Gao , Junyu Dong , Heng-Chao Li , Qian Du

Deep convolutional neural networks (CNNs) with a large number of parameters require intensive computational resources, and thus are hard to be deployed in resource-constrained platforms. Decomposition-based methods, therefore, have been…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Shaowu Chen , Jiahao Zhou , Weize Sun , Lei Huang

Recovering a low-rank matrix from highly corrupted measurements arises in compressed sensing of structured high-dimensional signals (e.g., videos and hyperspectral images among others). Robust principal component analysis (RPCA), solved via…

Optimization and Control · Mathematics 2022-06-28 Vahan Hovhannisyan , Yannis Panagakis , Panos Parpas , Stefanos Zafeiriou

There is an emerging interest in tensor factorization applications in big-data analytics and machine learning. To speed up the factorization of extra-large datasets, organized in multidimensional arrays (aka tensors), easy to compute…

Numerical Analysis · Mathematics 2022-03-23 Boian Alexandrov , Derek DeSantis , Gianmarco Manzini , Erik Skau

In this paper, a new methodology is proposed that allows for the low-complexity development of neural network (NN) based equalizers for the mitigation of impairments in high-speed coherent optical transmission systems. In this work, we…

This paper proposes a novel Non-Local Attention optmization and Improved Context modeling-based image compression (NLAIC) algorithm, which is built on top of the deep nerual network (DNN)-based variational auto-encoder (VAE) structure. Our…

Image and Video Processing · Electrical Eng. & Systems 2023-02-20 Tong Chen , Haojie Liu , Zhan Ma , Qiu Shen , Xun Cao , Yao Wang

Many practical problems in almost all scientific and technological disciplines have been classified as computationally hard (NP-hard or even NP-complete). In life sciences, combinatorial optimization problems frequently arise in molecular…

Data Structures and Algorithms · Computer Science 2015-03-19 H. Jose Antonio Martin

Hyperspectral imaging plays a pivotal role in a wide range of applications, like remote sensing, medicine, and cytology. By acquiring 3D hyperspectral images (HSIs) via 2D sensors, the coded aperture snapshot spectral imaging (CASSI) has…

Image and Video Processing · Electrical Eng. & Systems 2023-03-20 Xuanyu Zhang , Bin Chen , Wenzhen Zou , Shuai Liu , Yongbing Zhang , Ruiqin Xiong , Jian Zhang

We introduce a new tensor norm, the average spectrum norm, to study sample complexity of tensor completion problems based on the canonical polyadic decomposition (CPD). Properties of the average spectrum norm and its dual norm are…

Information Theory · Computer Science 2024-06-19 Oscar López , Richard Lehoucq , Carlos Llosa-Vite , Arvind Prasadan , Daniel M. Dunlavy