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The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

统计方法学 · 统计学 2026-02-11 Max Welz

Maximum Likelihood Estimation (MLE) and Likelihood Ratio Test (LRT) are widely used methods for estimating the transition probability matrix in Markov chains and identifying significant relationships between transitions, such as equality.…

统计方法学 · 统计学 2024-06-04 Yining Zhou , Ming Gao , Yiting Chen , Xiaoping Shi

With the multiallelic parent-independent mutation-drift model, the equilibrium proportions of alleles are known to be Dirichlet distributed. A special case is the biallelic model, in which the proportions are beta distributed. A sample…

种群与进化 · 定量生物学 2019-05-07 Claus Vogl , Lynette Caitlin Mikula

We analyse the first measurements from precision weak lensing (PWL): a new methodology for measuring individual galaxy-galaxy weak lensing through velocity information. Our goal is to understand the observed shear distribution from PWL,…

星系天体物理 · 物理学 2021-02-24 Pol Gurri , Edward N. Taylor , Christopher J. Fluke

In the last decade, there has been a growing interest to use Wishart processes for modelling, especially for financial applications. However, there are still few studies on the estimation of its parameters. Here, we study the Maximum…

统计理论 · 数学 2016-04-18 Aurélien Alfonsi , Ahmed Kebaier , Clément Rey

The scaled complex Wishart distribution is a widely used model for multilook full polarimetric SAR data whose adequacy has been attested in the literature. Classification, segmentation, and image analysis techniques which depend on this…

机器学习 · 统计学 2023-07-19 Alejandro C. Frery , Abraão D. C. Nascimento , Renato J. Cintra

In this letter, we propose a novel technique for obtaining scattering components from Polarimetric Synthetic Aperture Radar (PolSAR) data using the geodesic distance on the unit sphere. This geodesic distance is obtained between an…

计算机视觉与模式识别 · 计算机科学 2025-05-27 Debanshu Ratha , Avik Bhattacharya , Alejandro C. Frery

The Expectation--Maximization Maximum Likelihood (EMML) algorithm belongs to the Expectation--Maximization family and is widely used for image reconstruction problems under Poisson noise.In this paper, we reinterpret EMML as a mirror…

最优化与控制 · 数学 2026-04-20 Antonin Clerc , Ségolène Martin , Nicolas Papadakis , Gabriele Steidl

Due to its heavy-tailed and fully parametric form, the multivariate generalized Gaussian distribution (MGGD) has been receiving much attention for modeling extreme events in signal and image processing applications. Considering the…

应用统计 · 统计学 2017-02-27 F. Pascal , L. Bombrun , J. Y. Tourneret , Y. Berthoumieu

In state-of-the-art deep learning for object recognition, SoftMax and Sigmoid functions are most commonly employed as the predictor outputs. Such layers often produce overconfident predictions rather than proper probabilistic scores, which…

计算机视觉与模式识别 · 计算机科学 2022-05-13 Gledson Melotti , Cristiano Premebida , Jordan J. Bird , Diego R. Faria , Nuno Gonçalves

Extreme-ultraviolet (EUV) observations provide considerable insight into evolving physical conditions in the active solar atmosphere. For a prescribed density and temperature structure, it is straightforward to construct the corresponding…

天体物理仪器与方法 · 物理学 2023-04-19 Paolo Massa , A. Gordon Emslie , Iain G. Hannah , Eduard P. Kontar

Covariance matrices provide a valuable source of information about complex interactions and dependencies within the data. However, from a clustering perspective, this information has often been underutilized and overlooked. Indeed, commonly…

统计方法学 · 统计学 2024-09-02 Andrea Cappozzo , Alessandro Casa

Many standard optimization methods for segmentation and reconstruction compute ML model estimates for appearance or geometry of segments, e.g. Zhu-Yuille 1996, Torr 1998, Chan-Vese 2001, GrabCut 2004, Delong et al. 2012. We observe that the…

计算机视觉与模式识别 · 计算机科学 2015-05-04 Yuri Boykov , Hossam Isack , Carl Olsson , Ismail Ben Ayed

In this paper, we introduce an iterative speckle filtering method for polarimetric SAR (PolSAR) images based on the bilateral filter. To locally adapt to the spatial structure of images, this filter relies on pixel similarities in both…

计算机视觉与模式识别 · 计算机科学 2013-11-04 Olivier D'Hondt , Stéphane Guillaso , Olaf Hellwich

Misclassification of binary responses, if ignored, may severely bias the maximum likelihood estimators (MLE) of regression parameters. For such data, a binary regression model incorporating misclassification probabilities is extensively…

统计理论 · 数学 2020-09-28 Arindam Chatterjee , Tathagata Bandyopadhyay , Sumanta Adhya

Learning a Gaussian Mixture Model (GMM) is hard when the number of parameters is too large given the amount of available data. As a remedy, we propose restricting the GMM to a Gaussian Markov Random Field Mixture Model (GMRF-MM), as well as…

机器学习 · 计算机科学 2022-01-25 Shahaf E. Finder , Eran Treister , Oren Freifeld

We present a new SED-fitting based routine for redshift determination that is optimised for mid-infrared (MIR) low-resolution spectroscopy. Its flexible template scaling increases the sensitivity to slope changes and small scale features in…

宇宙学与河外天体物理 · 物理学 2015-06-11 Antonio Hernán-Caballero

In this paper we derive an exact full expression for the 2D probability distribution of the ellipticity of an object measured from data, only assuming Gaussian noise in pixel values. This is a generalisation of the probability distribution…

宇宙学与河外天体物理 · 物理学 2015-06-17 Massimo Viola , Thomas Kitching , Benjamin Joachimi

The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behaviors including asymmetric amplitude state…

动力系统 · 数学 2012-09-11 Karleigh Cameron , Marissa Saladin

This work considers Maximum Likelihood Estimation (MLE) of a Toeplitz structured covariance matrix. In this regard, an equivalent reformulation of the MLE problem is introduced and two iterative algorithms are proposed for the optimization…

信号处理 · 电气工程与系统科学 2025-05-13 Augusto Aubry , Prabhu Babu , Antonio De Maio , Massimo Rosamilia