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Functional ANOVA provides a nonparametric modeling framework for multivariate covariates, enabling flexible estimation and interpretation of effect functions such as main effects and interaction effects. However, effect-wise inference in…

统计方法学 · 统计学 2026-02-04 Youngjin Cho , Meimei Liu

Understanding why a model made a certain prediction is crucial in many data science fields. Interpretable predictions engender appropriate trust and provide insight into how the model may be improved. However, with large modern datasets the…

人工智能 · 计算机科学 2016-12-09 Scott Lundberg , Su-In Lee

Recent advancements in visual generative models have enabled high-quality image and video generation, opening diverse applications. However, evaluating these models often demands sampling hundreds or thousands of images or videos, making…

计算机视觉与模式识别 · 计算机科学 2025-08-22 Fan Zhang , Shulin Tian , Ziqi Huang , Yu Qiao , Ziwei Liu

Factorial designs are frequently used in different fields of science, e.g. psychological, medical or biometric studies. Standard approaches, as the ANOVA $F$-test, make different assumptions on the distribution of the error terms, the…

统计方法学 · 统计学 2018-02-21 Maria Umlauft

Model fitting is possibly the most extended problem in science. Classical approaches include the use of least-squares fitting procedures and maximum likelihood methods to estimate the value of the parameters in the model. However, in recent…

天体物理仪器与方法 · 物理学 2022-04-12 J. Lopez-Santiago , L. Martino , J. Miguez , M. A. Vazquez

Classical semiparametric inference with missing outcome data is not robust to contamination of the observed data and a single observation can have arbitrarily large influence on estimation of a parameter of interest. This sensitivity is…

统计方法学 · 统计学 2021-03-02 Eva Cantoni , Xavier de Luna

The problem of small area estimation (SAE) is how to produce reliable estimates of characteristics of interest such as means, counts, quantiles, etc., for areas or domains for which only small samples or no samples are available, and how to…

统计方法学 · 统计学 2013-02-21 Danny Pfeffermann

We present a comprehensive framework for applying rigorous statistical techniques from econometrics to analyze and improve machine learning systems. We introduce key statistical methods such as Ordinary Least Squares (OLS) regression,…

机器学习 · 计算机科学 2024-10-03 Michaël Soumm

Variable importance (VI) methods are often used for hypothesis generation, feature selection, and scientific validation. In the standard VI pipeline, an analyst estimates VI for a single predictive model with only the observed features.…

机器学习 · 计算机科学 2025-10-15 Jon Donnelly , Srikar Katta , Emanuele Borgonovo , Cynthia Rudin

How to select variables and identify functional forms for continuous variables is a key concern when creating a multivariable model. Ad hoc 'traditional' approaches to variable selection have been in use for at least 50 years. Similarly,…

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

机器学习 · 计算机科学 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

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,…

统计方法学 · 统计学 2026-01-05 Sinan Acemoglu , Christian Kleiber , Jörg Urban

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

统计方法学 · 统计学 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

Regression models are essential for a wide range of real-world applications. However, in practice, target values are not always precisely known; instead, they may be represented as intervals of acceptable values. This challenge has led to…

机器学习 · 计算机科学 2025-12-08 Tung L Nguyen , Toby Dylan Hocking

The modern formulation of the instrumental variable methods initiated the valuable interactions between economics and statistics literatures of causal inference and fueled new innovations of the idea. It helped resolving the long-standing…

统计方法学 · 统计学 2014-10-03 Toru Kitagawa

Consider a regression or some regression-type model for a certain response variable where the linear predictor includes an ordered factor among the explanatory variables. The inclusion of a factor of this type can take place is a few…

统计方法学 · 统计学 2023-11-27 Adelchi Azzalini

Consider the problem of determining the effect of a compound on a specific cell type. To answer this question, researchers traditionally need to run an experiment applying the drug of interest to that cell type. This approach is not…

统计方法学 · 统计学 2023-06-13 Chandler Squires , Dennis Shen , Anish Agarwal , Devavrat Shah , Caroline Uhler

In this paper we discuss recent developments in econometrics that we view as important for empirical researchers working on policy evaluation questions. We focus on three main areas, where in each case we highlight recommendations for…

统计方法学 · 统计学 2017-10-26 Susan Athey , Guido Imbens

Covariate-adaptive randomization (CAR) procedures are frequently used in comparative studies to increase the covariate balance across treatment groups. However, because randomization inevitably uses the covariate information when forming…

统计理论 · 数学 2022-07-08 Wei Ma , Yichen Qin , Yang Li , Feifang Hu

Recently, a number of statistical problems have found an unexpected solution by inspecting them through a "modal point of view". These include classical tasks such as clustering or regression. This has led to a renewed interest in…

统计方法学 · 统计学 2018-07-10 José E. Chacón