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相关论文: Semisupervised hyperspectral image unmixing using …

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Unsupervised image segmentation aims at clustering the set of pixels of an image into spatially homogeneous regions. We introduce here a class of Bayesian nonparametric models to address this problem. These models are based on a combination…

机器学习 · 统计学 2016-02-10 Richard Yi Da Xu , Francois Caron , Arnaud Doucet

We propose a method to restore and to segment simultaneously images degraded by a known point spread function (PSF) and additive white noise. For this purpose, we propose a joint Bayesian estimation framework, where a family of…

数据分析、统计与概率 · 物理学 2015-05-13 Hacheme Ayasso , Ali Mohammad-Djafari

The article develops a hybrid Variational Bayes algorithm that combines the mean-field and fixed-form Variational Bayes methods. The new estimation algorithm can be used to approximate any posterior without relying on conjugate priors. We…

统计方法学 · 统计学 2013-08-09 David J Nott , Minh-Ngoc Tran , Anthony Y. C. Kuk , Robert Kohn

Current methods for learning graphical models with latent variables and a fixed structure estimate optimal values for the model parameters. Whereas this approach usually produces overfitting and suboptimal generalization performance,…

机器学习 · 计算机科学 2013-01-30 Hagai Attias

Hyperspectral imaging is an important tool in remote sensing, allowing for accurate analysis of vast areas. Due to a low spatial resolution, a pixel of a hyperspectral image rarely represents a single material, but rather a mixture of…

计算机视觉与模式识别 · 计算机科学 2017-02-28 Jürgen Hahn , Abdelhak M. Zoubir

Spectral unmixing (SU) expresses the mixed pixels existed in hyperspectral images as the product of endmember and abundance, which has been widely used in hyperspectral imagery analysis. However, the influence of light, acquisition…

图像与视频处理 · 电气工程与系统科学 2022-06-27 Ge Zhang , Shaohui Mei , Mingyang Ma , Yan Feng , Qian Du

Linear spectral mixture models (LMM) provide a concise form to disentangle the constituent materials (endmembers) and their corresponding proportions (abundance) in a single pixel. The critical challenges are how to model the spectral prior…

计算机视觉与模式识别 · 计算机科学 2025-12-11 Yimin Zhu , Lincoln Linlin Xu

Unmixing is a fundamental process in hyperspectral image processing in which the materials present in a mixed pixel are determined based on the spectra of candidate materials and the pixel spectrum. Practical and general utility requires a…

图像与视频处理 · 电气工程与系统科学 2025-03-24 Jade Preston , William Basener

Mixture models whose components have skewed hypercube contours are developed via a generalization of the multivariate shifted asymmetric Laplace density. Specifically, we develop mixtures of multiple scaled shifted asymmetric Laplace…

统计方法学 · 统计学 2023-03-28 Brian C. Franczak , Cristina Tortora , Ryan P. Browne , Paul D. McNicholas

This paper addresses the problem of image denoising for grayscale images. We propose a probabilistic image generative model that combines a quadtree region-partitioning model with a mixture autoregressive model, and propose a framework that…

计算机视觉与模式识别 · 计算机科学 2026-05-13 Shota Saito , Yuta Nakahara , Kohei Horinouchi , Naoki Ichijo , Manabu Kobayashi , Toshiyasu Matsushima

Identifying pure components in mixtures is a common yet challenging problem. The associated unmixing process requires the pure components, also known as endmembers, to be sufficiently spectrally distinct. Even with this requirement met,…

数据分析、统计与概率 · 物理学 2023-11-16 Oliver Hoidn , Aashwin Mishra , Apurva Mehta

Uncertainty quantification is essential when dealing with ill-conditioned inverse problems due to the inherent nonuniqueness of the solution. Bayesian approaches allow us to determine how likely an estimation of the unknown parameters is…

机器学习 · 统计学 2020-01-16 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

This paper proposes a flexible Bayesian approach to multiple imputation using conditional Gaussian mixtures. We introduce novel shrinkage priors for covariate-dependent mixing proportions in the mixture models to automatically select the…

统计方法学 · 统计学 2022-08-17 Shonosuke Sugasawa , Jae Kwang Kim , Kosuke Morikawa

In a non supervised Bayesian estimation approach for inverse problems in imaging systems, one tries to estimate jointly the unknown image pixels $f$ and the hyperparameters $\theta$ given the observed data $g$ and a model $M$ linking these…

数学物理 · 物理学 2009-04-28 Ali Mohammad-Djafari

Spectral unmixing methods incorporating spatial regularizations have demonstrated increasing interest. Although spatial regularizers which promote smoothness of the abundance maps have been widely used, they may overly smooth these maps…

图像与视频处理 · 电气工程与系统科学 2018-08-01 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

Most algorithms for hyperspectral image unmixing produce point estimates of fractional abundances of the materials to be separated. However, in the absence of reliable ground truth, the ability to perform abundance uncertainty…

统计方法学 · 统计学 2026-03-26 Hector Blondel , Lucas Drumetz , Thierry Chonavel

In this paper, we propose an unsupervised method for hyperspectral remote sensing image segmentation. The method exploits the mean-shift clustering algorithm that takes as input a preliminary hyperspectral superpixels segmentation together…

计算机视觉与模式识别 · 计算机科学 2022-10-10 Mirko Paolo Barbato , Paolo Napoletano , Flavio Piccoli , Raimondo Schettini

Natural image statistics exhibit hierarchical dependencies across multiple scales. Representing such prior knowledge in non-factorial latent tree models can boost performance of image denoising, inpainting, deconvolution or reconstruction…

计算机视觉与模式识别 · 计算机科学 2012-07-03 Young Jun Ko , Matthias Seeger

We study a variant of the variational autoencoder model (VAE) with a Gaussian mixture as a prior distribution, with the goal of performing unsupervised clustering through deep generative models. We observe that the known problem of…

The sparse structure of the solution for an inverse problem can be modelled using different sparsity enforcing priors when the Bayesian approach is considered. Analytical expression for the unknowns of the model can be obtained by building…

应用统计 · 统计学 2017-05-31 Mircea Dumitru