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When a model's performance differs across socially or culturally relevant groups--like race, gender, or the intersections of many such groups--it is often called "biased." While much of the work in algorithmic fairness over the last several…

统计方法学 · 统计学 2022-07-01 Kristian Lum , Yunfeng Zhang , Amanda Bower

In modern data analysis, sparse model selection becomes inevitable once the number of predictors variables is very high. It is well-known that model selection procedures like the Lasso or Boosting tend to overfit on real data. The…

机器学习 · 计算机科学 2022-02-11 Tino Werner

Gradient boosted trees are competition-winning, general-purpose, non-parametric regressors, which exploit sequential model fitting and gradient descent to minimize a specific loss function. The most popular implementations are tailored to…

机器学习 · 计算机科学 2022-08-23 Lorenzo Nespoli , Vasco Medici

We develop tools for selective inference in the setting of group sparsity, including the construction of confidence intervals and p-values for testing selected groups of variables. Our main technical result gives the precise distribution of…

统计方法学 · 统计学 2016-07-28 Fan Yang , Rina Foygel Barber , Prateek Jain , John Lafferty

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Model-based component-wise gradient boosting is a popular tool for data-driven variable selection. In order to improve its prediction and selection qualities even further, several modifications of the original algorithm have been developed,…

统计方法学 · 统计学 2023-02-28 Sophie Potts , Elisabeth Bergherr , Constantin Reinke , Colin Griesbach

For many practical, high-risk applications, it is essential to quantify uncertainty in a model's predictions to avoid costly mistakes. While predictive uncertainty is widely studied for neural networks, the topic seems to be under-explored…

机器学习 · 计算机科学 2021-04-05 Andrey Malinin , Liudmila Prokhorenkova , Aleksei Ustimenko

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…

统计方法学 · 统计学 2020-08-11 Xiaomeng Ju , Matías Salibián-Barrera

Many data sets consist of variables with an inherent group structure. The problem of group selection has been well studied, but in this paper, we seek to do the opposite: our goal is to select at least one variable from each group in the…

统计方法学 · 统计学 2015-05-29 Frederick Campbell , Genevera I. Allen

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

The use of multivariate classifiers, especially neural networks and decision trees, has become commonplace in particle physics. Typically, a series of classifiers is trained rather than just one to enhance the performance; this is known as…

核实验 · 物理学 2015-06-16 Justin Stevens , Mike Williams

Boosting is a learning scheme that combines weak prediction rules to produce a strong composite estimator, with the underlying intuition that one can obtain accurate prediction rules by combining "rough" ones. Although boosting is proved to…

机器学习 · 计算机科学 2015-05-07 Shaobo Lin , Yao Wang , Lin Xu

Nonparametric maximum likelihood estimation is intended to infer the unknown density distribution while making as few assumptions as possible. To alleviate the over parameterization in nonparametric data fitting, smoothing assumptions are…

机器学习 · 统计学 2021-04-21 YunPeng Li , ZhaoHui Ye

Boosting has garnered significant interest across both machine learning and statistical communities. Traditional boosting algorithms, designed for fully observed random samples, often struggle with real-world problems, particularly with…

机器学习 · 统计学 2026-02-19 Yuan Bian , Grace Y. Yi , Wenqing He

Motivated by challenges in the analysis of biomedical data and observational studies, we develop statistical boosting for the general class of bivariate distributional copula regression with arbitrary marginal distributions, which is suited…

统计方法学 · 统计学 2024-03-05 Guillermo Briseño Sanchez , Nadja Klein , Hannah Klinkhammer , Andreas Mayr

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

机器学习 · 计算机科学 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

After selection with the Group LASSO (or generalized variants such as the overlapping, sparse, or standardized Group LASSO), inference for the selected parameters is unreliable in the absence of adjustments for selection bias. In the…

统计方法学 · 统计学 2022-08-16 Snigdha Panigrahi , Peter W. MacDonald , Daniel Kessler

In this paper we propose using the principle of boosting to reduce the bias of a random forest prediction in the regression setting. From the original random forest fit we extract the residuals and then fit another random forest to these…

机器学习 · 统计学 2021-02-25 Indrayudh Ghosal , Giles Hooker

This paper investigates the high-dimensional linear regression with highly correlated covariates. In this setup, the traditional sparsity assumption on the regression coefficients often fails to hold, and consequently many model selection…

统计方法学 · 统计学 2019-03-26 Jianqing Fan , Bai Jiang , Qiang Sun

This paper presents Sparse Partitioning, a Bayesian method for identifying predictors that either individually or in combination with others affect a response variable. The method is designed for regression problems involving binary or…

定量方法 · 定量生物学 2011-08-31 Doug Speed , Simon Tavaré