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An alternative to extrinsic information transfer (EXIT) charts called mean squared error (MSE) charts that use a measure related to the MSE instead of mutual information is proposed. Using the relationship between mutual information and…

信息论 · 计算机科学 2007-07-13 Kapil Bhattad , Krishna Narayanan

In this paper, we propose a novel variable selection approach in the framework of high-dimensional linear models where the columns of the design matrix are highly correlated. It consists in rewriting the initial high-dimensional linear…

统计理论 · 数学 2021-06-11 Wencan Zhu , Eric Adjakossa , Céline Lévy-Leduc , Nils Ternès

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

统计方法学 · 统计学 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

Error entropy is a important nonlinear similarity measure, and it has received increasing attention in many practical applications. The default kernel function of error entropy criterion is Gaussian kernel function, however, which is not…

信号处理 · 电气工程与系统科学 2023-09-06 Jiacheng He , Gang Wang , Bei Peng , Zhenyu Feng , Kun Zhang

Empirical Bayes estimators are based on minimizing the average risk with the hyper-parameters in the weighting function being estimated from observed data. The performance of an empirical Bayes estimator is typically evaluated by its mean…

统计理论 · 数学 2025-03-18 Yue Ju , Bo Wahlberg , Håkan Hjalmarsson

The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks…

数值分析 · 数学 2018-10-30 Junyan Su , Yanlin Zha , Kai Wang , Mario E. Villanueva , Radoslav Paulen , Boris Houska

Large-scale Gaussian process models are becoming increasingly important and widely used in many areas, such as, computer experiments, stochastic optimization via simulation, and machine learning using Gaussian processes. The standard…

统计方法学 · 统计学 2018-08-02 Yongxiang Li , Qiang Zhou , Kwok Leung Tsui , Javier Cabrera

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

统计方法学 · 统计学 2022-10-25 Yanghyeon Cho , Emily Berg

Mixtures-of-Experts models and their maximum likelihood estimation (MLE) via the EM algorithm have been thoroughly studied in the statistics and machine learning literature. They are subject of a growing investigation in the context of…

机器学习 · 统计学 2019-09-13 Faïcel Chamroukhi , Florian Lecocq , Hien D. Nguyen

This work presents an enhanced Computational Analytical Micromechanics (CAM) framework for the analysis of linear thermoelastic composite materials (CMs) with random microstructure. The proposed approach is grounded in an exact Additive…

计算物理 · 物理学 2026-01-05 Valeriy A. Buryachenko

In this paper, we present the Gaussian process regression as the predictive model for Quality-of-Service (QoS) attributes in Web service systems. The goal is to predict performance of the execution system expressed as QoS attributes given…

网络与互联网体系结构 · 计算机科学 2013-05-09 Jakub M. Tomczak , Jerzy Swiatek , Krzysztof Latawiec

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linear regression models, delivering a set of hypotheses that…

机器学习 · 计算机科学 2025-04-09 Fabricio Olivetti de Franca , Gabriel Kronberger

General regression and classification models are constructed as linear combinations of simple rules derived from the data. Each rule consists of a conjunction of a small number of simple statements concerning the values of individual input…

应用统计 · 统计学 2008-11-12 Jerome H. Friedman , Bogdan E. Popescu

Linear structural equation models, which relate random variables via linear interdependencies and Gaussian noise, are a popular tool for modeling multivariate joint distributions. These models correspond to mixed graphs that include both…

统计计算 · 统计学 2015-04-14 Mathias Drton , Luca Weihs

The paper addresses joint sparsity selection in the regression coefficient matrix and the error precision (inverse covariance) matrix for high-dimensional multivariate regression models in the Bayesian paradigm. The selected sparsity…

统计方法学 · 统计学 2022-01-19 Srijata Samanta , Kshitij Khare , George Michailidis

Ensemble methods are widely employed to improve generalization in machine learning. This has also prompted the adoption of ensemble learning for the knowledge graph embedding (KGE) models in performing link prediction. Typical approaches to…

机器学习 · 计算机科学 2025-10-30 Rupesh Sapkota , Caglar Demir , Arnab Sharma , Axel-Cyrille Ngonga Ngomo

Large-scale precision matrix estimation is of fundamental importance yet challenging in many contemporary applications for recovering Gaussian graphical models. In this paper, we suggest a new approach of innovated scalable efficient…

统计方法学 · 统计学 2016-05-12 Yingying Fan , Jinchi Lv

Structured prediction tasks in machine learning involve the simultaneous prediction of multiple labels. This is typically done by maximizing a score function on the space of labels, which decomposes as a sum of pairwise elements, each…

机器学习 · 计算机科学 2014-09-23 Amir Globerson , Tim Roughgarden , David Sontag , Cafer Yildirim

Generalized linear and additive models are very efficient regression tools but the selection of relevant terms becomes difficult if higher order interactions are needed. In contrast, tree-based methods also known as recursive partitioning…

统计方法学 · 统计学 2015-04-21 Gerhard Tutz , Moritz Berger

The performance of Gaussian Process (GP) regression is often hampered by the curse of dimensionality, which inflates computational cost and reduces predictive power in high-dimensional problems. Variable selection is thus crucial for…

统计方法学 · 统计学 2025-11-24 Minshen Xu , Shiwei Lan , Lulu Kang