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This work develops formal statistical inference procedures for machine learning ensemble methods. Ensemble methods based on bootstrapping, such as bagging and random forests, have improved the predictive accuracy of individual trees, but…

Machine Learning · Statistics 2015-09-11 Lucas Mentch , Giles Hooker

A long-standing problem in the construction of asymptotically correct confidence bands for a regression function $m(x)=E[Y|X=x]$, where $Y$ is the response variable influenced by the covariate $X$, involves the situation where $Y$ values…

Statistics Theory · Mathematics 2018-12-10 Ali Al-Sharadqah , Majid Mojirsheibani

A regression method for proportional, or fractional, data with mixed effects is outlined, designed for analysis of datasets in which the outcomes have substantial weight at the bounds. In such cases a normal approximation is particularly…

Methodology · Statistics 2018-05-23 Colman Humphrey , Dan Swingley

We propose statistical inferential procedures for panel data models with interactive fixed effects in a kernel ridge regression framework.Compared with traditional sieve methods, our method is automatic in the sense that it does not require…

Statistics Theory · Mathematics 2017-03-10 Shunan Zhao , Ruiqi Liu , Zuofeng Shang

Nonparametric regression and regression-discontinuity designs suffer from smoothing bias that distorts conventional confidence intervals. Solutions based on robust bias correction (RBC) are now central to the economist's toolbox. In this…

Beta regression has been extensively used by statisticians and practitioners to model bounded continuous data and there is no strong and similar competitor having its main features. A class of normalized inverse-Gaussian (N-IG) process was…

Methodology · Statistics 2020-03-12 Wagner Barreto-Souza , Vinícius D. Mayrink , Alexandre B. Simas

Longitudinal binary or count functional data are common in neuroscience, but are often too large to analyze with existing functional regression methods. We propose one-step penalized generalized estimating equations that supports…

Methodology · Statistics 2026-03-31 Gabriel Loewinger , Alex W. Levis , Erjia Cui , Francisco Pereira

Diffusion models demonstrate superior performance in capturing complex distributions from large-scale datasets, providing a promising solution for quadrupedal locomotion control. However, the robustness of the diffusion planner is…

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

Econometrics · Economics 2022-05-06 Alexander Kreiß , Christoph Rothe

BioNetFit is a software tool designed for solving parameter identification problems that arise in the development of rule-based models. It solves these problems through curve fitting (i.e., nonlinear regression). BioNetFit is compatible…

The advent of 1-bit large language models (LLMs), led by BitNet b1.58, has spurred interest in ternary LLMs. Despite this, research and practical applications focusing on efficient edge inference for ternary LLMs remain scarce. To bridge…

Machine Learning · Computer Science 2025-02-18 Jinheng Wang , Hansong Zhou , Ting Song , Shijie Cao , Yan Xia , Ting Cao , Jianyu Wei , Shuming Ma , Hongyu Wang , Furu Wei

When randomized ensemble methods such as bagging and random forests are implemented, a basic question arises: Is the ensemble large enough? In particular, the practitioner desires a rigorous guarantee that a given ensemble will perform…

Machine Learning · Statistics 2019-08-06 Miles E. Lopes , Suofei Wu , Thomas C. M. Lee

Penalized spline regression is a popular method for scatterplot smoothing, but there has long been a debate on how to construct confidence intervals for penalized spline fits. Due to the penalty, the fitted smooth curve is a biased estimate…

Methodology · Statistics 2017-06-06 Ning Dai

This article introduces lassopack, a suite of programs for regularized regression in Stata. lassopack implements lasso, square-root lasso, elastic net, ridge regression, adaptive lasso and post-estimation OLS. The methods are suitable for…

Econometrics · Economics 2019-01-17 Achim Ahrens , Christian B. Hansen , Mark E. Schaffer

This paper introduces a new type of probabilistic semiparametric model that takes advantage of data binning to reduce the computational cost of kernel density estimation in nonparametric distributions. Two new conditional probability…

Machine Learning · Computer Science 2026-04-02 Rafael Sojo , Javier Díaz-Rozo , Concha Bielza , Pedro Larrañaga

Large-scale randomized experiments are seldom analyzed using panel regression methods because of computational challenges arising from the presence of millions of nuisance parameters. We leverage Mundlak's insight that unit intercepts can…

Econometrics · Economics 2024-10-15 Apoorva Lal , Alexander Fischer , Matthew Wardrop

Diffusion models represent the state-of-the-art for solving inverse problems such as image restoration tasks. Diffusion-based inverse solvers incorporate a likelihood term to guide prior sampling, generating data consistent with the…

Machine Learning · Computer Science 2026-03-03 Bahareh Tolooshams , Aditi Chandrashekar , Rayhan Zirvi , Abbas Mammadov , Jiachen Yao , Chuwei Wang , Anima Anandkumar

While measuring bias and robustness in coreference resolution are important goals, such measurements are only as good as the tools we use to measure them. Winogender Schemas (Rudinger et al., 2018) are an influential dataset proposed to…

Computation and Language · Computer Science 2024-10-08 Vagrant Gautam , Julius Steuer , Eileen Bingert , Ray Johns , Anne Lauscher , Dietrich Klakow

Statistical analyses of directional or angular data have applications in a variety of fields, such as geology, meteorology and bioinformatics. There is substantial literature on descriptive and inferential techniques for univariate angular…

Computation · Statistics 2019-03-19 Saptarshi Chakraborty , Samuel W. K. Wong

We propose a method to remedy finite sample coverage problems and improve upon the efficiency of commonly employed procedures for the construction of nonparametric confidence intervals in regression kink designs. The proposed interval is…

Econometrics · Economics 2021-11-23 Majed Dodin
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