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In engineering, models are often used to represent the behavior of a system. Estimators are then needed to approximate the values of the model's parameters based on observations. This approximation implies a difference between the values…

机器人学 · 计算机科学 2024-11-27 Maël Godard , Luc Jaulin , Damien Massé

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

数据分析、统计与概率 · 物理学 2020-12-09 Jochen Bröcker

A popular technique for selecting and tuning machine learning estimators is cross-validation. Cross-validation evaluates overall model fit, usually in terms of predictive accuracy. In causal inference, the optimal choice of estimator…

统计方法学 · 统计学 2021-07-07 Dominik Rothenhäusler

Defining a distance in a mixed setting requires the quantification of observed differences of variables of different types and of variables that are measured on different scales. There exist several proposals for mixed variable distances,…

统计方法学 · 统计学 2024-11-04 Michel van de Velden , Alfonso Iodice D'Enza , Angelos Markos , Carlo Cavicchia

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

统计理论 · 数学 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

The James-Stein estimator's dominance over maximum likelihood in terms of mean square error (MSE) has been one of the most celebrated results in modern statistics, suggesting that biased estimators can systematically outperform unbiased…

统计理论 · 数学 2025-08-12 Paul W. Vos

Predictive process monitoring focuses on forecasting future states of ongoing process executions, such as predicting the outcome of a particular case. In recent years, the application of machine learning models in this domain has garnered…

机器学习 · 计算机科学 2025-04-29 Jari Peeperkorn , Simon De Vos

This work explores the effects of relevant and irrelevant boolean variables on the accuracy of classifiers. The analysis uses the assumption that the variables are conditionally independent given the class, and focuses on a natural family…

机器学习 · 计算机科学 2012-06-12 David P. Helmbold , Philip M. Long

We study several questions in the reliable agnostic learning framework of Kalai et al. (2009), which captures learning tasks in which one type of error is costlier than others. A positive reliable classifier is one that makes no false…

机器学习 · 计算机科学 2014-02-25 Varun Kanade , Justin Thaler

It is shown that the psychometric test reliability, based on any true-score model with randomly sampled items and conditionally independent errors, converges to 1 as the test length goes to infinity, assuming some fairly general regularity…

统计方法学 · 统计学 2025-08-29 Jules L. Ellis

We derive mean-unbiased estimators for the structural parameter in instrumental variables models with a single endogenous regressor where the sign of one or more first stage coefficients is known. In the case with a single instrument, there…

应用统计 · 统计学 2016-12-05 Isaiah Andrews , Timothy B. Armstrong

Applying a machine learning model for decision-making in the real world requires to distinguish what the model knows from what it does not. A critical factor in assessing the knowledge of a model is to quantify its predictive uncertainty.…

机器学习 · 计算机科学 2023-11-15 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

Positive predictive value and negative predictive value are two widely used parameters to assess the clinical usefulness of a medical diagnostic test. When there are two diagnostic tests, it is recommendable to make a comparative assessment…

统计方法学 · 统计学 2024-05-29 Antonio Martín Andrés , Pedro Femia Marzo

In some causal inference scenarios, the treatment variable is measured inaccurately, for instance in epidemiology or econometrics. Failure to correct for the effect of this measurement error can lead to biased causal effect estimates.…

机器学习 · 计算机科学 2024-09-13 Antti Pöllänen , Pekka Marttinen

Prediction becomes more challenging with missing covariates. What method is chosen to handle missingness can greatly affect how models perform. In many real-world problems, the best prediction performance is achieved by models that can…

Multi-step forecasting is often described through a simple rule of thumb: recursive strategies are said to have high bias and low variance, while direct strategies are said to have low bias and high variance. We revisit this belief by…

机器学习 · 计算机科学 2025-11-17 Riku Green , Huw Day , Zahraa S. Abdallah , Telmo M. Silva Filho

Mutual information (MI) is a fundamental measure of statistical dependence between two variables, yet accurate estimation from finite data remains notoriously difficult. No estimator is universally reliable, and common approaches fail in…

数据分析、统计与概率 · 物理学 2025-10-02 Eslam Abdelaleem , K. Michael Martini , Ilya Nemenman

In many applications of regression discontinuity designs, the running variable used by the administrator to assign treatment is only observed with error. We show that, provided the observed running variable (i) correctly classifies the…

计量经济学 · 经济学 2023-08-11 Yingying Dong , Michal Kolesár

Recent work has shown that models trained to the same objective, and which achieve similar measures of accuracy on consistent test data, may nonetheless behave very differently on individual predictions. This inconsistency is undesirable in…

机器学习 · 计算机科学 2021-11-17 Emily Black , Klas Leino , Matt Fredrikson

Testing the significance of a variable or group of variables $X$ for predicting a response $Y$, given additional covariates $Z$, is a ubiquitous task in statistics. A simple but common approach is to specify a linear model, and then test…

统计理论 · 数学 2024-05-08 Anton Rask Lundborg , Ilmun Kim , Rajen D. Shah , Richard J. Samworth