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This paper presents two novel hyperspectral mixture models and associated unmixing algorithms. The two models assume a linear mixing model corrupted by an additive term whose expression can be adapted to account for multiple scattering…

We propose a random-effects approach to missing values for generalized linear mixed model (GLMM) analysis. The method converts a GLMM with missing covariates to another GLMM without missing covariates. The standard GLMM analysis tools for…

Methodology · Statistics 2026-01-01 Thuan Nguyen , Jiangshan Zhang , Jiming Jiang

Growth curve models are popular tools for studying the development of a response variable within subjects over time. Heterogeneity between subjects is common in such models, and researchers are typically interested in explaining or…

Methodology · Statistics 2025-10-07 Marjolein Fokkema , Achim Zeileis

In this paper, we model a pixel as a linear combination of endmembers sampled from probability distributions of Gaussian mixture models (GMM). The parameters of the GMM distributions are estimated using spectral libraries. Abundances are…

Computer Vision and Pattern Recognition · Computer Science 2018-01-26 Yuan Zhou , Erin B. Wetherley , Paul D. Gader

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…

Image and Video Processing · Electrical Eng. & Systems 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

Discriminative latent variable models (LVM) are frequently applied to various visual recognition tasks. In these systems the latent (hidden) variables provide a formalism for modeling structured variation of visual features. Conventionally,…

Computer Vision and Pattern Recognition · Computer Science 2015-07-09 Hossein Azizpour , Mostafa Arefiyan , Sobhan Naderi Parizi , Stefan Carlsson

We study modeling and inference with the Elliptical Gamma Distribution (EGD). We consider maximum likelihood (ML) estimation for EGD scatter matrices, a task for which we develop new fixed-point algorithms. Our algorithms are efficient and…

Computation · Statistics 2018-06-04 Reshad Hosseini , Suvrit Sra , Lucas Theis , Matthias Bethge

We address the component-based regularisation of a multivariate Generalized Linear Mixed Model (GLMM). A set of random responses Y is modelled by a GLMM, using a set X of explanatory variables, a set T of additional covariates, and random…

Methodology · Statistics 2019-08-22 Jocelyn Chauvet , Catherine Trottier , Xavier Bry , Frederic Mortier

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

Applications · Statistics 2014-05-26 Siew Li Tan , David J. Nott

Due to low spatial resolution, hyperspectral data often consists of mixtures of contributions from multiple materials. This limitation motivates the task of hyperspectral unmixing (HU), a fundamental problem in hyperspectral imaging. HU…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Gokul Bhusal , Yifei Lou , Cristina Garcia-Cardona , Ekaterina Merkurjev

Linear mixed models (LMMs) are used as an important tool in the data analysis of repeated measures and longitudinal studies. The most common form of LMMs utilize a normal distribution to model the random effects. Such assumptions can often…

Methodology · Statistics 2016-02-16 Hien D. Nguyen , Geoffrey J. McLachlan

We study behavior of the restricted maximum likelihood (REML) estimator under a misspecified linear mixed model (LMM) that has received much attention in recent gnome-wide association studies. The asymptotic analysis establishes consistency…

Statistics Theory · Mathematics 2014-04-10 Jiming Jiang , Cong Li , Debashis Paul , Can Yang , Hongyu Zhao

The recent evolution of hyperspectral imaging technology and the proliferation of new emerging applications presses for the processing of multiple temporal hyperspectral images. In this work, we propose a novel spectral unmixing (SU)…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Tales Imbiriba , Pau Closas , José Carlos Moreira Bermudez , Cédric Richard

We propose a method for inference in generalised linear mixed models (GLMMs) and several extensions of these models. First, we extend the GLMM by allowing the distribution of the random components to be non-Gaussian, that is, assuming an…

Methodology · Statistics 2021-07-27 Jeanett S. Pelck , Rodrigo Labouriau

In industrial experiments, controlling variability is of paramount importance to ensure product quality. Classical regression models for mixture experiments are widely used in industry, however, when the assumption of constant variance is…

Methodology · Statistics 2022-06-07 Edmilson Rodrigues Pinto , Leandro Alves Pereira

The generic matrix multiply (GEMM) function is the core element of high-performance linear algebra libraries used in many computationally-demanding digital signal processing (DSP) systems. We propose an acceleration technique for GEMM based…

Mathematical Software · Computer Science 2015-05-30 Davide Anastasia , Yiannis Andreopoulos

Hyperspectral unmixing is a blind source separation problem which consists in estimating the reference spectral signatures contained in a hyperspectral image, as well as their relative contribution to each pixel according to a given mixture…

Data Analysis, Statistics and Probability · Physics 2017-11-21 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

The generalised linear model (GLM) is a very important tool for analysing real data in biology, sociology, agriculture, engineering and many other application domain where the relationship between the response and explanatory variables may…

Methodology · Statistics 2016-07-04 Abhik Ghosh , Ayanendranath Basu

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time points). A random response y is…

Methodology · Statistics 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

We present a flexible tool, called General Effect Modelling (GEM), for the analysis of any multivariate data influenced by one or more qualitative (categorical) or quantitative (continuous) input variables. The variables can be design…

Methodology · Statistics 2024-04-05 Ellen Færgestad Mosleth , Kristian Hovde Liland