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The paper deals with generalized functional regression. The aim is to estimate the influence of covariates on observations, drawn from an exponential distribution. The link considered has a semiparametric expression: if we are interested in…

统计理论 · 数学 2013-09-20 Irène Gannaz

We consider a finite mixture of regressions (FMR) model for high-dimensional inhomogeneous data where the number of covariates may be much larger than sample size. We propose an l1-penalized maximum likelihood estimator in an appropriate…

统计方法学 · 统计学 2012-02-28 Nicolas Städler , Peter Bühlmann , Sara van de Geer

Density regression characterizes the conditional density of the response variable given the covariates, and provides much more information than the commonly used conditional mean or quantile regression. However, it is often computationally…

统计方法学 · 统计学 2022-06-15 Yunlu Chen , Nan Zhang

When we are interested in high-dimensional system and focus on classification performance, the $\ell_{1}$-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of…

机器学习 · 统计学 2020-06-12 Huamei Huang , Yujing Gao , Huiming Zhang , Bo Li

This article investigates unsupervised classification techniques for categorical multivariate data. The study employs multivariate multinomial mixture modeling, which is a type of model particularly applicable to multilocus genotypic data.…

统计理论 · 数学 2014-03-11 Dominique Bontemps , Wilson Toussile

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

统计方法学 · 统计学 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

This paper considers the problem of networks reconstruction from heterogeneous data using a Gaussian Graphical Mixture Model (GGMM). It is well known that parameter estimation in this context is challenging due to large numbers of variables…

机器学习 · 统计学 2013-10-08 Anani Lotsi , Ernst Wit

Inference based on the penalized density ratio model is proposed and studied. The model under consideration is specified by assuming that the log--likelihood function of two unknown densities is of some parametric form. The model has been…

统计理论 · 数学 2008-07-17 Konstantinos Fokianos

We introduce a flexible parametric mixed effects model for correlated binary data, with parameters that can be directly interpreted as marginal odds ratios. This leads to a robust estimation equation with an optimal weighting matrix being…

统计方法学 · 统计学 2014-04-01 Rui Zhang , Kwun Chuen Gary Chan

This paper investigates a new approach to estimate the gradient of the conditional probability given the covariates in the binary classification framework. The proposed approach consists in fitting a localized nearest-neighbor logistic…

统计理论 · 数学 2025-01-20 Touqeer Ahmad , François Portier , Gilles Stupfler

Sparse covariates are frequent in classification and regression problems and in these settings the task of variable selection is usually of interest. As it is well known, sparse statistical models correspond to situations where there are…

统计方法学 · 统计学 2020-02-14 Ana M. Bianco , Graciela Boente , Gonzalo Chebi

We consider nonlinear mixed effects models including high-dimensional covariates to model individual parameters variability. The objective is to identify relevant covariates among a large set under sparsity assumption and to estimate model…

统计理论 · 数学 2025-08-06 Antoine Caillebotte , Estelle Kuhn , Sarah Lemler

In high-dimensional model selection problems, penalized simple least-square approaches have been extensively used. This paper addresses the question of both robustness and efficiency of penalized model selection methods, and proposes a…

统计方法学 · 统计学 2011-07-06 Jelena Bradic , Jianqing Fan , Weiwei Wang

We consider model selection in generalized linear models (GLM) for high-dimensional data and propose a wide class of model selection criteria based on penalized maximum likelihood with a complexity penalty on the model size. We derive a…

统计理论 · 数学 2016-03-31 Felix Abramovich , Vadim Grinshtein

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

Additive regression provides an extension of linear regression by modeling the signal of a response as a sum of functions of covariates of relatively low complexity. We study penalized estimation in high-dimensional nonparametric additive…

统计理论 · 数学 2017-04-25 Zhiqiang Tan , Cun-Hui Zhang

This paper proposes a new approach to estimating the distribution of a response variable conditioned on observing some factors. The proposed approach possesses desirable properties of flexibility, interpretability, tractability and…

统计方法学 · 统计学 2023-03-16 Cheng Peng , Stanislav Uryasev

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

统计方法学 · 统计学 2018-05-23 Colman Humphrey , Dan Swingley

We propose a penalized likelihood method that simultaneously fits the multinomial logistic regression model and combines subsets of the response categories. The penalty is non differentiable when pairs of columns in the optimization…

统计方法学 · 统计学 2017-05-11 Bradley S. Price , Charles J. Geyer , Adam J. Rothman

We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to solve a maximum likelihood problem with an added l_1-norm…

人工智能 · 计算机科学 2007-07-06 Onureena Banerjee , Laurent El Ghaoui , Alexandre d'Aspremont