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We study linear spectral statistics of high dimensional sample covariance matrices in a regime where the empirical spectral distribution remains governed by the classical sample covariance law but the fluctuation theory is nonclassical. Our…

Statistics Theory · Mathematics 2026-05-13 Yanqing Yin , Wang Zhou

In this paper, we consider a distributed detection problem for a censoring sensor network where each sensor's communication rate is significantly reduced by transmitting only "informative" observations to the Fusion Center (FC), and…

Applications · Statistics 2023-07-19 Hao He , Pramod K. Varshney

A central problem in hyperspectral image classification is obtaining high classification accuracy when using a limited amount of labelled data. In this paper we present a novel graph-based framework, which aims to tackle this problem in the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Philip Sellars , Angelica Aviles-Rivero , Carola-Bibiane Schönlieb

This paper investigates the performance of a likelihood ratio test in combination with a polynomial subspace projection approach to detect weak transient signals in broadband array data. Based on previous empirical evidence that a…

Methodology · Statistics 2024-09-30 Cornelius A. H. Pahalson , Louise H. Crockett , Stephan Weiss

The recent emergence of deep learning has led to a great deal of work on designing supervised deep semantic segmentation algorithms. As in many tasks sufficient pixel-level labels are very difficult to obtain, we propose a method which…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Matthias Schwab , Agnes Mayr , Markus Haltmeier

Gaussian processes (GPs) are widely used as distributions of random effects in linear mixed models, which are fit using the restricted likelihood or the closely-related Bayesian analysis. This article addresses two problems. First, we…

Methodology · Statistics 2018-05-04 Maitreyee Bose , James S. Hodges , Sudipto Banerjee

It is well-known that the distribution over functions induced through a zero-mean iid prior distribution over the parameters of a multi-layer perceptron (MLP) converges to a Gaussian process (GP), under mild conditions. We extend this…

Machine Learning · Computer Science 2019-12-02 Russell Tsuchida , Fred Roosta , Marcus Gallagher

Hyperspectral unmixing, the process of estimating a common set of spectral bases and their corresponding composite percentages at each pixel, is an important task for hyperspectral analysis, visualization and understanding. From an…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Feiyun Zhu , Ying Wang , Bin Fan , Gaofeng Meng , Shiming Xiang , Chunhong Pan

Infrared Small Target Detection (IRSTD) aims to segment small targets from infrared clutter background. Existing methods mainly focus on discriminative approaches, i.e., a pixel-level front-background binary segmentation. Since infrared…

Computer Vision and Pattern Recognition · Computer Science 2024-03-14 Haoqing Li , Jinfu Yang , Yifei Xu , Runshi Wang

This paper proposes a probabilistic deep metric learning (PDML) framework for hyperspectral image classification, which aims to predict the category of each pixel for an image captured by hyperspectral sensors. The core problem for…

Computer Vision and Pattern Recognition · Computer Science 2022-11-16 Chengkun Wang , Wenzhao Zheng , Xian Sun , Jiwen Lu , Jie Zhou

This paper proposes a novel image set classification technique based on the concept of linear regression. Unlike most other approaches, the proposed technique does not involve any training or feature extraction. The gallery image sets are…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Uzair Nadeem , Syed Afaq Ali Shah , Mohammed Bennamoun , Roberto Togneri , Ferdous Sohel

This paper addresses the adaptive radar target detection problem in the presence of Gaussian interference with unknown statistical properties. To this end, the problem is first formulated as a binary hypothesis test, and then we derive a…

Signal Processing · Electrical Eng. & Systems 2025-03-05 Chaoran Yin , Tianqi Wang , Linjie Yan , Chengpeng Hao , Alfonso Farina , Danilo Orlando

This paper addresses the issue of detecting point objects in a clutter background and estimating their position by image processing. We are interested in the specific context where the object signature significantly varies with its random…

Applications · Statistics 2009-11-09 Vincent Samson , Frédéric Champagnat , Jean-François Giovannelli

We propose a likelihood ratio based inferential framework for high dimensional semiparametric generalized linear models. This framework addresses a variety of challenging problems in high dimensional data analysis, including incomplete…

Machine Learning · Statistics 2015-11-24 Yang Ning , Tianqi Zhao , Han Liu

In this paper, the Gaussian quasi likelihood ratio test (GQLRT) for non-Bayesian binary hypothesis testing is generalized by applying a transform to the probability distribution of the data. The proposed generalization, called…

Methodology · Statistics 2017-11-22 Nir Halay , Koby Todros , Alfred O. Hero

We investigate whether a Gaussian likelihood, as routinely assumed in the analysis of cosmological data, is supported by simulated survey data. We define test statistics, based on a novel method that first destroys Gaussian correlations in…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Elena Sellentin , Alan F. Heavens

This paper develops several average-case reduction techniques to show new hardness results for three central high-dimensional statistics problems, implying a statistical-computational gap induced by robustness, a detection-recovery gap and…

Computational Complexity · Computer Science 2020-05-20 Matthew Brennan , Guy Bresler

This paper deals with color image quality assessment in the reduced-reference framework based on natural scenes statistics. In this context, we propose to model the statistics of the steerable pyramid coefficients by a Multivariate…

Computer Vision and Pattern Recognition · Computer Science 2014-12-02 Mounir Omari , Abdelkaher Ait Abdelouahad , Mohammed El Hassouni , Hocine Cherifi

Many physical systems evolve on matrix Lie groups and mixture filtering designed for such manifolds represent an inevitable tool for challenging estimation problems. However, mixture filtering faces the issue of a constantly growing number…

Systems and Control · Computer Science 2017-08-22 Josip Cesic , Ivan Markovic , Ivan Petrovic

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret
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