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We propose a new measure of variable importance in high-dimensional regression based on the change in the LASSO solution path when one covariate is left out. The proposed procedure provides a novel way to calculate variable importance and…

Methodology · Statistics 2020-05-11 Xiangyang Cao , Karl Gregory , Dewei Wang

In high-dimensional linear models, the sparsity assumption is typically made, stating that most of the parameters are equal to zero. Under the sparsity assumption, estimation and, recently, inference have been well studied. However, in…

Methodology · Statistics 2019-07-09 Yinchu Zhu , Jelena Bradic

The ability to interpret machine learning models has become increasingly important as their usage in data science continues to rise. Most current interpretability methods are optimized to work on either (\textit{i}) a global scale, where…

Methodology · Statistics 2023-08-11 Emily T. Winn-Nuñez , Maryclare Griffin , Lorin Crawford

In the era of "big data", it is becoming more of a challenge to not only build state-of-the-art predictive models, but also gain an understanding of what's really going on in the data. For example, it is often of interest to know which, if…

Machine Learning · Statistics 2018-05-15 Brandon M. Greenwell , Bradley C. Boehmke , Andrew J. McCarthy

Variable selection in sparse regression models is an important task as applications ranging from biomedical research to econometrics have shown. Especially for higher dimensional regression problems, for which the link function between…

Machine Learning · Statistics 2019-12-10 Burim Ramosaj , Markus Pauly

Variable importance in regression analyses is of considerable interest in a variety of fields. There is no unique method for assessing variable importance. However, a substantial share of the available literature employs Shapley values,…

Methodology · Statistics 2026-01-05 Sinan Acemoglu , Christian Kleiber , Jörg Urban

This paper improves upon existing data pruning methods for image classification by introducing a novel pruning metric and pruning procedure based on importance sampling. The proposed pruning metric explicitly accounts for data separability,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-24 Steven Grosz , Rui Zhao , Rajeev Ranjan , Hongcheng Wang , Manoj Aggarwal , Gerard Medioni , Anil Jain

Importance sampling is a central idea underlying off-policy prediction in reinforcement learning. It provides a strategy for re-weighting samples from a distribution to obtain unbiased estimates under another distribution. However,…

Machine Learning · Computer Science 2023-06-28 Kristopher De Asis , Eric Graves , Richard S. Sutton

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

Machine Learning · Computer Science 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

This paper develops an approach to inference in a linear regression model when the number of potential explanatory variables is larger than the sample size. The approach treats each regression coefficient in turn as the interest parameter,…

Methodology · Statistics 2022-11-14 Heather S. Battey , Nancy Reid

Estimating the importance of variables is an essential task in modern machine learning. This help to evaluate the goodness of a feature in a given model. Several techniques for estimating the importance of variables have been developed…

Machine Learning · Statistics 2022-08-09 Louis Mozart Kamdem , Ernest Fokoue

Importance sampling is often used in machine learning when training and testing data come from different distributions. In this paper we propose a new variant of importance sampling that can reduce the variance of importance sampling-based…

Machine Learning · Computer Science 2016-11-11 Philip S. Thomas , Emma Brunskill

Shapley values have seen widespread use in machine learning as a way to explain model predictions and estimate the importance of covariates. Accurately explaining models is critical in real-world models to both aid in decision making and to…

Machine Learning · Statistics 2024-08-19 Daniel de Marchi , Michael Kosorok , Scott de Marchi

Improving the accuracy of soil moisture estimation is required for advancing irrigation scheduling and water conservation efforts. Central to this task are soil hydraulic parameters, which govern moisture dynamics but are rarely known…

Systems and Control · Electrical Eng. & Systems 2025-06-06 Bernard T. Agyeman , Erfan Orouskhani , Mohamed Naouri , Willemijn Appels , Maik Wolleben , Jinfeng Liu , Sirish L. Shah

Reliability-oriented sensitivity analysis aims at combining both reliability and sensitivity analyses by quantifying the influence of each input variable of a numerical model on a quantity of interest related to its failure. In particular,…

Statistics Theory · Mathematics 2022-10-25 Julien Demange-Chryst , François Bachoc , Jérôme Morio

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

Statistical learning evolves quickly with more and more sophisticated models proposed to incorporate the complicated data structure from modern scientific and business problems. Varying index coefficient models extend varying coefficient…

Statistics Theory · Mathematics 2019-03-05 Li Jialiang , Lv Jing

Transfer learning is an emerging paradigm for leveraging multiple sources to improve the statistical inference on a single target. In this paper, we propose a novel approach named residual importance weighted transfer learning (RIW-TL) for…

Methodology · Statistics 2024-01-04 Junlong Zhao , Shengbin Zheng , Chenlei Leng

Exposure assessment is fundamental to air pollution cohort studies. The objective is to predict air pollution exposures for study subjects at locations without data in order to optimize our ability to learn about health effects of air…

Applications · Statistics 2024-06-05 Si Cheng , Magali N. Blanco , Lianne Sheppard , Ali Shojaie , Adam Szpiro

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar
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