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The ratio of two densities provides a direct characterization of their differences. We consider the two-sample comparison problem by estimating this ratio given i.i.d. observations from two distributions. To this end, we propose additive…

统计方法学 · 统计学 2026-04-23 Naoki Awaya , Yuliang Xu , Li Ma

Ridge regression is a well established regression estimator which can conveniently be adapted for classification problems. One compelling reason is probably the fact that ridge regression emits a closed-form solution thereby facilitating…

机器学习 · 计算机科学 2020-03-26 Jakramate Bootkrajang

A new synthesis scheme is proposed to generate a random vector with prescribed joint density that induces a (latent) Gaussian tree structure. The quality of synthesis is shown by vanishing total variation distance between the synthesized…

信息论 · 计算机科学 2017-05-09 Ali Moharrer , Shuangqing Wei , George T. Amariucai , Jing Deng

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

统计方法学 · 统计学 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

Binomial trees are widely used in the financial sector for valuing securities with early exercise characteristics, such as American stock options. However, while effective in many scenarios, pricing options with CRR binomial trees are…

计算金融 · 定量金融 2024-05-28 Yury Lebedev , Arunava Banerjee

Random forests are a learning algorithm proposed by Breiman [Mach. Learn. 45 (2001) 5--32] that combines several randomized decision trees and aggregates their predictions by averaging. Despite its wide usage and outstanding practical…

统计理论 · 数学 2015-08-11 Erwan Scornet , Gérard Biau , Jean-Philippe Vert

We propose the first boosting algorithm for off-policy learning from logged bandit feedback. Unlike existing boosting methods for supervised learning, our algorithm directly optimizes an estimate of the policy's expected reward. We analyze…

机器学习 · 计算机科学 2023-05-03 Ben London , Levi Lu , Ted Sandler , Thorsten Joachims

Determining subgroups that respond especially well (or poorly) to specific interventions (medical or policy) requires new supervised learning methods tailored specifically for causal inference. Bayesian Causal Forest (BCF) is a recent…

机器学习 · 统计学 2022-09-16 Nikolay Krantsevich , Jingyu He , P. Richard Hahn

Adapting machine learning algorithms to better handle the presence of clusters or batch effects within training datasets is important across a wide variety of biological applications. This article considers the effect of ensembling Random…

机器学习 · 统计学 2025-04-01 Maya Ramchandran , Rajarshi Mukherjee , Giovanni Parmigiani

Gradient-boosted decision trees are among the strongest off-the-shelf predictors for tabular regression, but point predictions alone do not quantify uncertainty. Conformal prediction provides distribution-free marginal coverage, yet split…

机器学习 · 统计学 2026-02-27 Vagner Santos , Victor Coscrato , Luben Cabezas , Rafael Izbicki , Thiago Ramos

We study partially linear models in settings where observations are arranged in independent groups but may exhibit within-group dependence. Existing approaches estimate linear model parameters through weighted least squares, with optimal…

统计方法学 · 统计学 2024-04-16 Elliot H. Young , Rajen D. Shah

We study methods for simultaneous analysis of many noisy and biased estimates, each paired with an even noisier estimate of its own bias. The analyst's goal is to construct short calibrated intervals for each parameter. The standard…

统计方法学 · 统计学 2026-05-11 Wanyi Ling , Sida Li , Junming Guan , Nikolaos Ignatiadis

Standard supervised learning procedures are validated against a test set that is assumed to have come from the same distribution as the training data. However, in many problems, the test data may have come from a different distribution. We…

机器学习 · 统计学 2019-08-28 Tim Coleman , Kimberly Kaufeld , Mary Frances Dorn , Lucas Mentch

Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a…

机器学习 · 计算机科学 2018-03-08 Francesco Locatello , Rajiv Khanna , Joydeep Ghosh , Gunnar Rätsch

We introduce a generic estimator for the false discovery rate of any model selection procedure, in common statistical modeling settings including the Gaussian linear model, Gaussian graphical model, and model-X setting. We prove that our…

统计方法学 · 统计学 2026-02-25 Yixiang Luo , William Fithian , Lihua Lei

Random forests remain among the most popular off-the-shelf supervised learning algorithms. Despite their well-documented empirical success, however, until recently, few theoretical results were available to describe their performance and…

机器学习 · 统计学 2021-11-17 Wei Peng , Tim Coleman , Lucas Mentch

Gradient boosting has become a cornerstone of machine learning, enabling base learners such as decision trees to achieve exceptional predictive performance. While existing algorithms primarily handle scalar or Euclidean outputs,…

机器学习 · 统计学 2025-09-23 Yidong Zhou , Su I Iao , Hans-Georg Müller

Hash codes are a very efficient data representation needed to be able to cope with the ever growing amounts of data. We introduce a random forest semantic hashing scheme with information-theoretic code aggregation, showing for the first…

计算机视觉与模式识别 · 计算机科学 2015-04-20 Qiang Qiu , Guillermo Sapiro , Alex Bronstein

We present a statistical perspective on boosting. Special emphasis is given to estimating potentially complex parametric or nonparametric models, including generalized linear and additive models as well as regression models for survival…

统计方法学 · 统计学 2008-12-18 Peter Bühlmann , Torsten Hothorn

The random forest algorithm, proposed by L. Breiman in 2001, has been extremely successful as a general-purpose classification and regression method. The approach, which combines several randomized decision trees and aggregates their…

统计理论 · 数学 2015-11-19 Gérard Biau , Erwan Scornet