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This paper presents a Bayesian algorithm for linear spectral unmixing of hyperspectral images that accounts for anomalies present in the data. The model proposed assumes that the pixel reflectances are linear mixtures of unknown endmembers,…

Methodology · Statistics 2015-10-06 Yoann Altmann , Steve McLaughlin , Alfred Hero

Hyperspectral unmixing while considering endmember variability is usually performed by the normal compositional model (NCM), where the endmembers for each pixel are assumed to be sampled from unimodal Gaussian distributions. However, in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Yuan Zhou , Anand Rangarajan , Paul D. Gader

Cluster analysis faces two problems in high dimensions: first, the `curse of dimensionality' that can lead to overfitting and poor generalization performance; and second, the sheer time taken for conventional algorithms to process large…

Quantitative Methods · Quantitative Biology 2013-09-12 Shabnam N. Kadir , Dan F. M. Goodman , Kenneth D. Harris

We systematically study various network Expectation-Maximization (EM) algorithms for the Gaussian mixture model within the framework of decentralized federated learning. Our theoretical investigation reveals that directly extending the…

Machine Learning · Statistics 2024-11-11 Shuyuan Wu , Bin Du , Xuetong Li , Hansheng Wang

Current successful approaches for generic (non-semantic) segmentation rely mostly on edge detection and have leveraged the strengths of deep learning mainly by improving the edge detection stage in the algorithmic pipeline. This is in…

Computer Vision and Pattern Recognition · Computer Science 2020-03-26 Or Isaacs , Oran Shayer , Michael Lindenbaum

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

Signal Processing · Electrical Eng. & Systems 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

In Bayesian inference for mixture models with an unknown number of components, a finite mixture model is usually employed that assumes prior distributions for mixing weights and the number of components. This model is called a mixture of…

Methodology · Statistics 2025-12-25 Fumiya Iwashige , Shintaro Hashimoto

We propose a foreground segmentation algorithm that does foreground extraction under different scales and refines the result by matting. First, the input image is filtered and resampled to 5 different resolutions. Then each of them is…

Computer Vision and Pattern Recognition · Computer Science 2014-02-12 Xintong Yu , Xiaohan Liu , Yisong Chen

A Bayesian filtering algorithm is developed for a class of state-space systems that can be modelled via Gaussian mixtures. In general, the exact solution to this filtering problem involves an exponential growth in the number of mixture…

Machine Learning · Statistics 2023-07-03 Adrian G. Wills , Johannes Hendriks , Christopher Renton , Brett Ninness

The usage of convolutional neural networks (CNNs) for unsupervised image segmentation was investigated in this study. In the proposed approach, label prediction and network parameter learning are alternately iterated to meet the following…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 Wonjik Kim , Asako Kanezaki , Masayuki Tanaka

A fast forward feature selection algorithm is presented in this paper. It is based on a Gaussian mixture model (GMM) classifier. GMM are used for classifying hyperspectral images. The algorithm selects iteratively spectral features that…

Computer Vision and Pattern Recognition · Computer Science 2015-01-06 Mathieu Fauvel , Clement Dechesne , Anthony Zullo , Frédéric Ferraty

this paper we consider the problem of separating noisy instantaneous linear mixtures of document images in the Bayesian framework. The source image is modeled hierarchically by a latent labeling process representing the common…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Feng Su , Ali Mohammad-Djafari

In this paper, we outline the use of Mixture Models in density estimation of large astronomical databases. This method of density estimation has been known in Statistics for some time but has not been implemented because of the large…

Astrophysics · Physics 2007-05-23 A. J. Connolly , C. Genovese , A. W. Moore , R. C. Nichol , J. Schneider , L. Wasserman

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

Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

Computation · Statistics 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

Super-resolution imaging techniques have largely improved our capabilities to visualize nanometric structures in biological systems. Their application further enables one to potentially quantitate relevant parameters to determine the…

Biological Physics · Physics 2019-12-18 Tina Kosǔta , Marta Cullell-Dalmau , Francesca Cella Zanacchi , Carlo Manzo

Diffusion Probabilistic Methods are employed for state-of-the-art image generation. In this work, we present a method for extending such models for performing image segmentation. The method learns end-to-end, without relying on a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-08 Tomer Amit , Tal Shaharbany , Eliya Nachmani , Lior Wolf

Image segmentation is a key topic in image processing and computer vision with applications such as scene understanding, medical image analysis, robotic perception, video surveillance, augmented reality, and image compression, among many…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Shervin Minaee , Yuri Boykov , Fatih Porikli , Antonio Plaza , Nasser Kehtarnavaz , Demetri Terzopoulos

We present an efficient method for image segmentation in the presence of strong inhomogeneities. The approach can be interpreted as a two-level clustering procedure: pixels are first grouped into superpixels via a linear least-squares…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Jisui Huang , Andreas Alpers , Ke Chen , Na Lei

Minimum distance estimation methodology based on an empirical distribution function has been popular due to its desirable properties including robustness. Even though the statistical literature is awash with the research on the minimum…

Computation · Statistics 2023-03-30 Jiwoong Kim
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