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Sparse Gaussian graphical models characterize sparse dependence relationships between random variables in a network. To estimate multiple related Gaussian graphical models on the same set of variables, we formulate a hierarchical model,…

统计方法学 · 统计学 2014-06-10 Yuancheng Zhu , Rina Foygel Barber

Statistical methods with empirical likelihood (EL) are appealing and effective especially in conjunction with estimating equations through which useful data information can be adaptively and flexibly incorporated. It is also known in the…

统计理论 · 数学 2018-12-21 Jinyuan Chang , Cheng Yong Tang , Tong Tong Wu

We introduce GAMSEL (Generalized Additive Model Selection), a penalized likelihood approach for fitting sparse generalized additive models in high dimension. Our method interpolates between null, linear and additive models by allowing the…

机器学习 · 统计学 2015-06-18 Alexandra Chouldechova , Trevor Hastie

The Highly-Adaptive-LASSO Targeted Minimum Loss Estimator (HAL-TMLE) is an efficient plug-in estimator of a pathwise differentiable parameter in a statistical model that at minimal (and possibly only) assumes that the sectional variation…

统计理论 · 数学 2020-02-12 Weixin Cai , Mark van der Laan

Estimation of generalized linear mixed models (GLMMs) with non-nested random effects structures requires approximation of high-dimensional integrals. Many existing methods are tailored to the low-dimensional integrals produced by nested…

统计计算 · 统计学 2014-04-01 Andrew T. Karl , Yan Yang , Sharon L. Lohr

We consider the problem of estimating the slope parameter in circular functional linear regression, where scalar responses Y1,...,Yn are modeled in dependence of 1-periodic, second order stationary random functions X1,...,Xn. We consider an…

统计理论 · 数学 2010-10-01 Fabienne Comte , Jan Johannes

A penalized maximum likelihood estimation approach is proposed for discrete-time hidden Markov models where covariates affect the observed responses and serial dependence is considered. The proposed penalized maximum likelihood method…

统计方法学 · 统计学 2025-07-04 Luca Brusa , Fulvia Pennoni , Francesco Bartolucci , Romina Peruilh Bagolini

Additive smooth models, such as Generalized additive models (GAMs) of location, scale, and shape (GAMLSS), are a popular choice for modeling experimental data. However, software available to fit such models is usually not tailored…

统计方法学 · 统计学 2025-06-17 Joshua Krause , Jelmer P. Borst , Jacolien van Rij

We propose a shrinkage procedure for simultaneous variable selection and estimation in generalized linear models (GLMs) with an explicit predictive motivation. The procedure estimates the coefficients by minimizing the Kullback-Leibler…

统计方法学 · 统计学 2010-09-14 Minh-Ngoc Tran , David Nott , Chenlei Leng

The Highly-Adaptive-Lasso(HAL)-TMLE is an efficient estimator of a pathwise differentiable parameter in a statistical model that at minimal (and possibly only) assumes that the sectional variation norm of the true nuisance parameters are…

统计理论 · 数学 2017-09-01 Mark van der Laan

We utilise a sampler originating from nonequilibrium statistical mechanics, termed here Jarzynski-adjusted Langevin algorithm (JALA), to build statistical estimation methods in latent variable models. We achieve this by leveraging…

统计计算 · 统计学 2025-10-27 James Cuin , Davide Carbone , O. Deniz Akyildiz

Additive models belong to the class of structured nonparametric regression models that do not suffer from the curse of dimensionality. Finding the additive components that are nonzero when the true model is assumed to be sparse is an…

统计方法学 · 统计学 2025-05-08 Suneel Babu Chatla , Abhijit Mandal

Multi-parameter regression (MPR) modelling refers to the approach whereby covariates are allowed to enter the model through multiple distributional parameters simultaneously. This is in contrast to the standard approaches where covariates…

统计方法学 · 统计学 2019-07-03 Fatima-Zahra Jaouimaa , Il Do Ha , Kevin Burke

Confidence intervals based on penalized maximum likelihood estimators such as the LASSO, adaptive LASSO, and hard-thresholding are analyzed. In the known-variance case, the finite-sample coverage properties of such intervals are determined…

统计理论 · 数学 2010-03-16 Benedikt M. Pötscher , Ulrike Schneider

Probabilistic graphical models (PGMs) provide a compact and flexible framework to model very complex real-life phenomena. They combine the probability theory which deals with uncertainty and logical structure represented by a graph which…

机器学习 · 统计学 2023-02-01 Maryia Shpak

Gaussian mixture models form a flexible and expressive parametric family of distributions that has found applications in a wide variety of applications. Unfortunately, fitting these models to data is a notoriously hard problem from a…

统计理论 · 数学 2023-01-05 Yuling Yan , Kaizheng Wang , Philippe Rigollet

A new approach for feature extraction from time series is proposed in this paper. This approach consists of a specific regression model incorporating a discrete hidden logistic process. The model parameters are estimated by the maximum…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

This paper tackles the challenge of parameter calibration in stochastic models, particularly in scenarios where the likelihood function is unavailable in an analytical form. We introduce a gradient-based simulated parameter estimation…

机器学习 · 统计学 2025-03-25 Zehao Li , Yijie Peng

In this work, we consider a manufactory process which can be described by a multiple-instance logistic regression model. In order to compute the maximum likelihood estimation of the unknown coefficient, an expectation-maximization algorithm…

Accurate prediction of structural dynamics is imperative for preserving digital twin fidelity throughout operational lifetimes. Parametric models with fixed nominal parameters often omit critical physical effects due to simplifications in…

机器学习 · 统计学 2026-01-12 Rohan Vitthal Thorat , Rajdip Nayek