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Spectral decomposition of matrices is a recurring and important task in applied mathematics, physics and engineering. Many application problems require the consideration of matrices of size three with spectral decomposition over the real…

Numerical Analysis · Mathematics 2021-11-04 Michal Habera , Andreas Zilian

Predicting masked from visible parts of an image is a powerful self-supervised approach for visual representation learning. However, the common practice of masking random patches of pixels exhibits certain failure modes, which can prevent…

Machine Learning · Computer Science 2025-02-12 Alice Bizeul , Thomas Sutter , Alain Ryser , Bernhard Schölkopf , Julius von Kügelgen , Julia E. Vogt

Document image has been the area of research for a couple of decades because of its potential application in the area of text recognition, line recognition or any other shape recognition from the image. For most of these purposes…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 Mahua Nandy , Satadal Saha

This paper addresses the problem of blind and fully constrained unmixing of hyperspectral images. Unmixing is performed without the use of any dictionary, and assumes that the number of constituent materials in the scene and their spectral…

Applications · Statistics 2015-06-18 Rita Ammanouil , André Ferrari , Cédric Richard , David Mary

Demixing refers to the challenge of identifying two structured signals given only the sum of the two signals and prior information about their structures. Examples include the problem of separating a signal that is sparse with respect to…

Information Theory · Computer Science 2015-03-20 Michael B. McCoy , Joel A. Tropp

A simple, yet general, formalism for the optimized linear combination of astrophysical images is constructed and demonstrated. The formalism allows the user to combine multiple undersampled images to provide oversampled output at high…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Barnaby Rowe , Christopher Hirata , Jason Rhodes

The problem of super-resolution is concerned with the reconstruction of temporally/spatially localized events (or spikes) from samples of their convolution with a low-pass filter. Distinct from prior works which exploit sparsity in…

Signal Processing · Electrical Eng. & Systems 2023-03-06 Pulak Sarangi , Ryoma Hattori , Takaki Komiyama , Piya Pal

Image binarization is the process of separation of pixel values into two groups, white as background and black as foreground. Thresholding plays a major in binarization of images. Thresholding can be categorized into global thresholding and…

Computer Vision and Pattern Recognition · Computer Science 2012-01-26 T. Romen Singh , Sudipta Roy , O. Imocha Singh , Tejmani Sinam , Kh. Manglem Singh

This paper proposes a generic formulation that significantly expedites the training and deployment of image classification models, particularly under the scenarios of many image categories and high feature dimensions. As a defining…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Fumin Shen , Yadong Mu , Wei Liu , Yang Yang , Heng Tao Shen

We consider the problem of solving mixed random linear equations with $k$ components. This is the noiseless setting of mixed linear regression. The goal is to estimate multiple linear models from mixed samples in the case where the labels…

Machine Learning · Computer Science 2016-08-23 Xinyang Yi , Constantine Caramanis , Sujay Sanghavi

Anomaly segmentation is a critical task for driving applications, and it is approached traditionally as a per-pixel classification problem. However, reasoning individually about each pixel without considering their contextual semantics…

Computer Vision and Pattern Recognition · Computer Science 2023-07-26 Shyam Nandan Rai , Fabio Cermelli , Dario Fontanel , Carlo Masone , Barbara Caputo

Noisy images are a challenge to image compression algorithms due to the inherent difficulty of compressing noise. As noise cannot easily be discerned from image details, such as high-frequency signals, its presence leads to extra bits…

Image and Video Processing · Electrical Eng. & Systems 2024-02-09 Yuxin Xie , Li Yu , Farhad Pakdaman , Moncef Gabbouj

While supervised object detection and segmentation methods achieve impressive accuracy, they generalize poorly to images whose appearance significantly differs from the data they have been trained on. To address this when annotating data is…

Computer Vision and Pattern Recognition · Computer Science 2020-11-12 Isinsu Katircioglu , Helge Rhodin , Victor Constantin , Jörg Spörri , Mathieu Salzmann , Pascal Fua

Radio astronomical observations have very poor signal to noise ratios, unlike in other disciplines. On the other hand, it is possible to observe the object of interest for long time intervals as well as using a wider bandwidth.…

Astrophysics · Physics 2008-09-02 Sarod Yatawatta

Hyperspectral unmixing aims at identifying a set of elementary spectra and the corresponding mixture coefficients for each pixel of an image. As the elementary spectra correspond to the reflectance spectra of real materials, they are often…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

Hyperspectral anomaly detection (HAD), a crucial approach for many civilian and military applications, seeks to identify pixels with spectral signatures that are anomalous relative to a preponderance of background signatures. Significant…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Abu Hasnat Mohammad Rubaiyat , Jordan Vincent , Colin Olson

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

Optimization and Control · Mathematics 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

Mass spectrometry, especially so-called tandem mass spectrometry, is commonly used to assess the chemical diversity of samples. The resulting mass fragmentation spectra are representations of molecules of which the structure may have not…

Machine Learning · Computer Science 2025-02-18 Niek de Jonge , Justin J. J. van der Hooft , Daniel Probst

The high computational complexity and energy consumption of artificial intelligence (AI) algorithms hinder their application in augmented reality (AR) systems. However, mobile edge computing (MEC) makes it possible to solve this problem.…

Networking and Internet Architecture · Computer Science 2023-01-04 Guangjin Pan , Heng Zhang , Shugong Xu , Shunqing Zhang , Xiaojing Chen

We present a progressive image decomposition method based on a novel non-linear filter named Sub-window Variance filter. Our method is specifically designed for image detail enhancement purpose; this application requires extraction of image…

Computer Vision and Pattern Recognition · Computer Science 2021-07-23 Kin-Ming Wong
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