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Statistics derived from the eigenvalues of sample covariance matrices are called spectral statistics, and they play a central role in multivariate testing. Although bootstrap methods are an established approach to approximating the laws of…

Methodology · Statistics 2019-02-21 Miles Lopes , Andrew Blandino , Alexander Aue

Deep learning-based nuclei segmentation and classification in pathology images typically rely on large-scale pixel-level manual annotations, which are costly and difficult to obtain across diverse tissues and staining conditions. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Kazuya Nishimura , Ryoma Bise , Haruka Hirose , Yasuhiro Kojima

Deep learning architectures based on convolutional neural networks tend to rely on continuous, smooth features. While this characteristics provides significant robustness and proves useful in many real-world tasks, it is strikingly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Zuzanna Buchnajzer , Kacper Dobek , Stanisław Hapke , Daniel Jankowski , Krzysztof Krawiec

We consider the problem of parameter estimation in a high-dimensional generalized linear model. Spectral methods obtained via the principal eigenvector of a suitable data-dependent matrix provide a simple yet surprisingly effective…

Statistics Theory · Mathematics 2025-07-11 Yihan Zhang , Hong Chang Ji , Ramji Venkataramanan , Marco Mondelli

We describe a novel method for blind, single-image spectral super-resolution. While conventional super-resolution aims to increase the spatial resolution of an input image, our goal is to spectrally enhance the input, i.e., generate an…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Silvano Galliani , Charis Lanaras , Dimitrios Marmanis , Emmanuel Baltsavias , Konrad Schindler

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shukun Zhang , James M. Murphy

In this work, we provide a local classification of certain special classes of surfaces determined by the prescription of the radial mean curvature in terms of the height and angle functions. Moreover, we introduce a special class of…

Differential Geometry · Mathematics 2025-10-14 Marcelo Lopes Ferro , Armando M. V. Corro

Hyperspectral super-resolution (HSR) is a problem that aims to estimate an image of high spectral and spatial resolutions from a pair of co-registered multispectral (MS) and hyperspectral (HS) images, which have coarser spectral and spatial…

Image and Video Processing · Electrical Eng. & Systems 2020-10-28 Ruiyuan Wu , Wing-Kin Ma , Xiao Fu , Qiang Li

Hyperspectral imaging acquires data in both the spatial and frequency domains to offer abundant physical or biological information. However, conventional hyperspectral imaging has intrinsic limitations of bulky instruments, slow data…

Image and Video Processing · Electrical Eng. & Systems 2023-04-06 Yuhyun Ji , Sang Mok Park , Semin Kwon , Jung Woo Leem , Vidhya Vijayakrishnan Nair , Yunjie Tong , Young L. Kim

We introduce a new spectral method for image segmentation that incorporates long range relationships for global appearance modeling. The approach combines two different graphs, one is a sparse graph that captures spatial relationships…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Jeova F. S. Rocha Neto , Pedro F. Felzenszwalb

Hyperspectral data consists of large number of features which require sophisticated analysis to be extracted. A popular approach to reduce computational cost, facilitate information representation and accelerate knowledge discovery is to…

Machine Learning · Computer Science 2015-09-29 Phool Preet , Sanjit Singh Batra , Jayadeva

Graph classification aims to categorize graphs based on their structural and attribute features, with applications in diverse fields such as social network analysis and bioinformatics. Among the methods proposed to solve this task, those…

Machine Learning · Computer Science 2025-07-23 Lucas Potin , Rosa Figueiredo , Vincent Labatut , Christine Largeron

Despite progress in the rapidly developing field of geometric deep learning, performing statistical analysis on geometric data--where each observation is a shape such as a curve, graph, or surface--remains challenging due to the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Emmanuel Hartman , Nicolas Charon

Starting from a variational formulation, we present a model for image segmentation that employs both region statistics and edge information. This combination allows for improved flexibility, making the proposed model suitable to process a…

Analysis of PDEs · Mathematics 2019-10-15 Carlos M. Paniagua Mejia

A satellite image is a remotely sensed image data, where each pixel represents a specific location on earth. The pixel value recorded is the reflection radiation from the earth's surface at that location. Multispectral images are those that…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Purbarag Pathak Choudhury , Ujjal Kr Dutta , Dhruba Kr Bhattacharyya

Hyperspectral target detection is a task of primary importance in remote sensing since it allows identification, location, and discrimination of target features. To this end, the reflectance maps, which contain the spectral signatures and…

Signal Processing · Electrical Eng. & Systems 2023-05-24 Pia Addabbo , Nicomino Fiscante , Gaetano Giunta , Danilo Orlando , Giuseppe Ricci , Silvia Liberata Ullo

In current biological and medical research, statistical shape modeling (SSM) provides an essential framework for the characterization of anatomy/morphology. Such analysis is often driven by the identification of a relatively small number of…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Riddhish Bhalodia , Shireen Elhabian , Ladislav Kavan , Ross Whitaker

A general framework of spatio-spectral segmentation for multi-spectral images is introduced in this paper. The method is based on classification-driven stochastic watershed (WS) by Monte Carlo simulations, and it gives more regular and…

Computer Vision and Pattern Recognition · Computer Science 2016-02-10 Guillaume Noyel , Jesus Angulo , Dominique Jeulin

In hyperspectral remote sensing data mining, it is important to take into account of both spectral and spatial information, such as the spectral signature, texture feature and morphological property, to improve the performances, e.g., the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Lefei Zhang , Qian Zhang , Bo Du , Xin Huang , Yuan Yan Tang , Dacheng Tao

Deep learning models extract, before a final classification layer, features or patterns which are key for their unprecedented advantageous performance. However, the process of complex nonlinear feature extraction is not well understood, a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Roozbeh Yousefzadeh , Furong Huang