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This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

We consider the problem of learning a mixture of linear regressions (MLRs). An MLR is specified by $k$ nonnegative mixing weights $p_1, \ldots, p_k$ summing to $1$, and $k$ unknown regressors $w_1,...,w_k\in\mathbb{R}^d$. A sample from the…

数据结构与算法 · 计算机科学 2019-12-18 Sitan Chen , Jerry Li , Zhao Song

The problem of resolving the fine details of a signal from its coarse scale measurements or, as it is commonly referred to in the literature, the super-resolution problem arises naturally in engineering and physics in a variety of settings.…

信息论 · 计算机科学 2015-04-14 Tamir Bendory , Shai Dekel , Arie Feuer

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

信号处理 · 电气工程与系统科学 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

Guided super-resolution is a unifying framework for several computer vision tasks where the inputs are a low-resolution source image of some target quantity (e.g., perspective depth acquired with a time-of-flight camera) and a…

计算机视觉与模式识别 · 计算机科学 2019-08-16 Riccardo de Lutio , Stefano D'Aronco , Jan Dirk Wegner , Konrad Schindler

This paper deals with the kernel-based approximation of a multivariate periodic function by interpolation at the points of an integration lattice -- a setting that, as pointed out by Zeng, Leung, Hickernell (MCQMC2004, 2006) and Zeng,…

数值分析 · 数学 2022-01-25 Vesa Kaarnioja , Yoshihito Kazashi , Frances Y. Kuo , Fabio Nobile , Ian H. Sloan

By removing irrelevant and redundant features, feature selection aims to find a good representation of the original features. With the prevalence of unlabeled data, unsupervised feature selection has been proven effective in alleviating the…

机器学习 · 计算机科学 2024-03-25 Ziyuan Lin , Deanna Needell

We explore a fundamental problem of super-resolving a signal of interest from a few measurements of its low-pass magnitudes. We propose a 2-stage tractable algorithm that, in the absence of noise, admits perfect super-resolution of an…

信息论 · 计算机科学 2014-03-10 Yuxin Chen , Yonina C. Eldar , Andrea J. Goldsmith

In the last few decades, significant achievements have been attained in predicting where humans look at images through different computational models. However, how to determine contributions of different visual features to overall saliency…

计算机视觉与模式识别 · 计算机科学 2013-07-23 Yasin Kavak , Erkut Erdem , Aykut Erdem

A kernel method is proposed to estimate the condensed density of the generalized eigenvalues of pencils of Hankel matrices whose elements have a joint noncentral Gaussian distribution with nonidentical covariance. These pencils arise when…

统计理论 · 数学 2015-10-02 Piero Barone

This paper presents a nonlinear mixing model for hyperspectral image unmixing. The proposed model assumes that the pixel reflectances are post-nonlinear functions of unknown pure spectral components contaminated by an additive white…

统计方法学 · 统计学 2015-06-15 Yoann Altmann , Nicolas Dobigeon , Jean-Yves Tourneret

By facilitating the generation of samples from arbitrary probability distributions, Markov Chain Monte Carlo (MCMC) is, arguably, \emph{the} tool for the evaluation of Bayesian inference problems that yield non-standard posterior…

统计计算 · 统计学 2021-05-27 Peter L Green , Robert E Moore , Ryan J Jackson , Jinglai Li , Simon Maskell

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…

统计方法学 · 统计学 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Hyperspectral images provide much more information than conventional imaging techniques, allowing a precise identification of the materials in the observed scene, but because of the limited spatial resolution, the observations are usually…

图像与视频处理 · 电气工程与系统科学 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

The study of representations invariant to common transformations of the data is important to learning. Most techniques have focused on local approximate invariance implemented within expensive optimization frameworks lacking explicit…

机器学习 · 计算机科学 2017-10-25 Dipan K. Pal , Ashwin A. Kannan , Gautam Arakalgud , Marios Savvides

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

We present a method for hyperspectral pixel {\it unmixing}. The proposed method assumes that (1) {\it abundances} can be encoded as Dirichlet distributions and (2) spectra of {\it endmembers} can be represented as multivariate Normal…

图像与视频处理 · 电气工程与系统科学 2024-02-07 Kiran Mantripragada , Faisal Z. Qureshi

We consider the problem of estimating the phases of K mixed complex signals from a multichannel observation, when the mixing matrix and signal magnitudes are known. This problem can be cast as a non-convex quadratically constrained…

声音 · 计算机科学 2017-03-21 Antoine Deleforge , Yann Traonmilin

Kernel methods provide an elegant and principled approach to nonparametric learning, but so far could hardly be used in large scale problems, since na\"ive implementations scale poorly with data size. Recent advances have shown the benefits…

机器学习 · 计算机科学 2020-11-30 Giacomo Meanti , Luigi Carratino , Lorenzo Rosasco , Alessandro Rudi

Multiple kernel learning (MKL) algorithms combine different base kernels to obtain a more efficient representation in the feature space. Focusing on discriminative tasks, MKL has been used successfully for feature selection and finding the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer