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The applicability domain refers to the range of data for which the prediction of the predictive model is expected to be reliable and accurate and using a model outside its applicability domain can lead to incorrect results. The ability to…

Machine Learning · Computer Science 2024-11-05 Shakir Khurshid , Bharath Kumar Loganathan , Matthieu Duvinage

We study a semi-/nonparametric regression model with a general form of nonclassical measurement error in the outcome variable. We show equivalence of this model to a generalized regression model. Our main identifying assumptions are a…

Econometrics · Economics 2021-06-01 Christoph Breunig , Stephan Martin

Inference for the parameters indexing generalised linear models is routinely based on the assumption that the model is correct and a priori specified. This is unsatisfactory because the chosen model is usually the result of a data-adaptive…

Methodology · Statistics 2020-06-16 Stijn Vansteelandt , Oliver Dukes

We consider the on-line predictive version of the standard problem of linear regression; the goal is to predict each consecutive response given the corresponding explanatory variables and all the previous observations. The standard…

Statistics Theory · Mathematics 2009-06-18 Vladimir Vovk , Ilia Nouretdinov , Alex Gammerman

In classical machine learning, regression is treated as a black box process of identifying a suitable function from a hypothesis set without attempting to gain insight into the mechanism connecting inputs and outputs. In the natural…

Machine Learning · Computer Science 2016-10-11 Georg Martius , Christoph H. Lampert

We study efficiency improvements in randomized experiments for estimating a vector of potential outcome means using regression adjustment (RA) when there are more than two treatment levels. We show that linear RA which estimates separate…

Econometrics · Economics 2025-01-13 Akanksha Negi , Jeffrey M. Wooldridge

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

This research describes the initial effort of building a prediction model for defects in system testing carried out by an independent testing team. The motivation to have such defect prediction model is to serve as early quality indicator…

Software Engineering · Computer Science 2014-01-24 Muhammad Dhiauddin Mohamed Suffian , Suhaimi Ibrahim

After a machine learning model has been deployed into production, its predictive performance needs to be monitored. Ideally, such monitoring can be carried out by comparing the model's predictions against ground truth labels. For this to be…

Machine Learning · Computer Science 2025-02-13 Juhani Kivimäki , Jakub Białek , Jukka K. Nurminen , Wojtek Kuberski

We consider a variant of regression problem, where the correspondence between input and output data is not available. Such shuffled data is commonly observed in many real world problems. Taking flow cytometry as an example, the measuring…

Machine Learning · Computer Science 2021-02-12 Yujia Xie , Yixiu Mao , Simiao Zuo , Hongteng Xu , Xiaojing Ye , Tuo Zhao , Hongyuan Zha

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

Methodology · Statistics 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta

This paper describes the RRMSE (Relative Root Mean Square Error) based weights to weight the occurrences of predictive values before averaging for the ensemble voting regression. The core idea behind ensemble regression is to combine…

Machine Learning · Computer Science 2022-07-12 Shikun Chen , Nguyen Manh Luc

Should prediction models always deliver a prediction? In the pursuit of maximum predictive performance, critical considerations of reliability and fairness are often overshadowed, particularly when it comes to the role of uncertainty.…

Machine Learning · Computer Science 2024-10-29 Anna Sokol , Nuno Moniz , Nitesh Chawla

This article serves as the regression analysis lecture notes in the Intelligent Computing course cluster (including the courses of Artificial Intelligence, Data Mining, Machine Learning, and Pattern Recognition). It aims to provide students…

Machine Learning · Computer Science 2025-12-05 Jingyuan Wang , Jiahao Ji

We present a state-based regression function for planning domains where an agent does not have complete information and may have sensing actions. We consider binary domains and employ a three-valued characterization of domains with sensing…

Artificial Intelligence · Computer Science 2017-01-11 Le-Chi Tuan , Chitta Baral , Tran Cao Son

This paper analyzes the classical linear regression model with measurement errors in all the variables. First, we provide necessary and sufficient conditions for identification of the coefficients. We show that the coefficients are not…

Methodology · Statistics 2023-06-22 Dan Ben-Moshe

Generalization beyond a training dataset is a main goal of machine learning, but theoretical understanding of generalization remains an open problem for many models. The need for a new theory is exacerbated by recent observations in deep…

Machine Learning · Statistics 2022-02-08 Abdulkadir Canatar , Blake Bordelon , Cengiz Pehlevan

Reliably estimating the uncertainty of a prediction throughout the model lifecycle is crucial in many safety-critical applications. The most common way to measure this uncertainty is via the predicted confidence. While this tends to work…

Machine Learning · Computer Science 2023-04-24 Sebastian G. Gruber , Florian Buettner

Noise plagues many numerical datasets, where the recorded values in the data may fail to match the true underlying values due to reasons including: erroneous sensors, data entry/processing mistakes, or imperfect human estimates. We consider…

Machine Learning · Statistics 2024-03-14 Hang Zhou , Jonas Mueller , Mayank Kumar , Jane-Ling Wang , Jing Lei

We study prediction and estimation problems using empirical risk minimization, relative to a general convex loss function. We obtain sharp error rates even when concentration is false or is very restricted, for example, in heavy-tailed…

Machine Learning · Statistics 2014-10-14 Shahar Mendelson