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This paper proposes a method for the automatic creation of variables (in the case of regression) that complement the information contained in the initial input vector. The method works as a pre-processing step in which the continuous values…

Machine Learning · Computer Science 2022-09-05 Colin Troisemaine , Vincent Lemaire

Modern regression applications can involve hundreds or thousands of variables which motivates the use of variable selection methods. Bayesian variable selection defines a posterior distribution on the possible subsets of the variables…

Methodology · Statistics 2024-10-16 J. E. Griffin

This paper proposes a new robust smooth-threshold estimating equation to select important variables and automatically estimate parameters for high dimensional longitudinal data. A novel working correlation matrix is proposed to capture…

Methodology · Statistics 2021-11-30 Liya Fu , Jiaqi Li , You-Gan Wang

Penalized regression methods, such as lasso and elastic net, are used in many biomedical applications when simultaneous regression coefficient estimation and variable selection is desired. However, missing data complicates the…

Progressive Hedging is a popular decomposition algorithm for solving multi-stage stochastic optimization problems. A computational bottleneck of this algorithm is that all scenario subproblems have to be solved at each iteration. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-28 Gilles Bareilles , Yassine Laguel , Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick

Sparse recovery and subset selection are fundamental problems in varied communities, including signal processing, statistics and machine learning. Herein, we focus on an important greedy algorithm for these problems: Backward Stepwise…

Optimization and Control · Mathematics 2021-06-08 Sebatian Ament , Carla Gomes

This paper proposes a variational Bayes algorithm for computationally efficient posterior and predictive inference in time-varying parameter (TVP) models. Within this context we specify a new dynamic variable/model selection strategy for…

Computation · Statistics 2021-12-23 Gary Koop , Dimitris Korobilis

Gradient boosting algorithms construct a regression predictor using a linear combination of ``base learners''. Boosting also offers an approach to obtaining robust non-parametric regression estimators that are scalable to applications with…

Methodology · Statistics 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Variable selection is a procedure to attain the truly important predictors from inputs. Complex nonlinear dependencies and strong coupling pose great challenges for variable selection in high-dimensional data. In addition, real-world…

Methodology · Statistics 2023-07-04 Keyao Wang , Huiwen Wang , Jichang Zhao , Lihong Wang

In life sciences, the experts generally use empirical knowledge to recode variables, choose interactions and perform selection by classical approach. The aim of this work is to perform automatic learning algorithm for variables selection…

Machine Learning · Statistics 2015-11-05 Bienvenue Kouwayè , Noël Fonton , Fabrice Rossi

In this work, we study the use of logistic regression in manufacturing failures detection. As a data set for the analysis, we used the data from Kaggle competition Bosch Production Line Performance. We considered the use of machine…

Machine Learning · Computer Science 2016-12-31 B. Pavlyshenko

The paper considers variable selection in linear regression models where the number of covariates is possibly much larger than the number of observations. High dimensionality of the data brings in many complications, such as (possibly…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

We propose a cautious Bayesian variable selection routine by investigating the sensitivity of a hierarchical model, where the regression coefficients are specified by spike and slab priors. We exploit the use of latent variables to…

Methodology · Statistics 2022-06-20 Tathagata Basu , Matthias C. M. Troffaes , Jochen Einbeck

In this paper, we develop a simulation-based framework for regularized logistic regression, exploiting two novel results for scale mixtures of normals. By carefully choosing a hierarchical model for the likelihood by one type of mixture,…

Methodology · Statistics 2015-03-17 Robert B. Gramacy , Nicholas G. Polson

Variable selection is recognized as one of the most critical steps in statistical modeling. The problems encountered in engineering and social sciences are commonly characterized by over-abundance of explanatory variables, non-linearities…

Computation · Statistics 2016-07-14 Ankur Sinha , Pekka Malo , Timo Kuosmanen

In supervised machine learning, feature selection plays a very important role by potentially enhancing explainability and performance as measured by computing time and accuracy-related metrics. In this paper, we investigate a method for…

Machine Learning · Computer Science 2024-02-02 Raisa Islam , Subhasish Mazumdar , Rakibul Islam

Feature selection is an important and active field of research in machine learning and data science. Our goal in this paper is to propose a collection of synthetic datasets that can be used as a common reference point for feature selection…

Machine Learning · Computer Science 2022-11-08 Firuz Kamalov , Hana Sulieman , Aswani Kumar Cherukuri

This paper presents a new variable selection approach integrated with Gaussian process (GP) regression. We consider a sparse projection of input variables and a general stationary covariance model that depends on the Euclidean distance…

Machine Learning · Computer Science 2020-08-26 Chiwoo Park , David J. Borth , Nicholas S. Wilson , Chad N. Hunter

Automated model selection is often proposed to users to choose which machine learning model (or method) to apply to a given regression task. In this paper, we show that combining different regression models can yield better results than…

Machine Learning · Computer Science 2022-06-24 Patrick Echtenbruck , Martina Echtenbruck , Joost Batenburg , Thomas Bäck , Boris Naujoks , Michael Emmerich

Selection bias arises when the probability that an observation enters a dataset depends on variables related to the quantities of interest, leading to systematic distortions in estimation and uncertainty quantification. For example, in…