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The available data in semi-supervised learning usually consists of relatively small sized labeled data and much larger sized unlabeled data. How to effectively exploit unlabeled data is the key issue. In this paper, we write the regression…

Methodology · Statistics 2024-11-13 Ziwen Gao , Huihang Liu , Xinyu Zhang

Lack-of-fit testing of a regression model with Berkson measurement error has not been discussed in the literature to date. To fill this void, we propose a class of tests based on minimized integrated square distances between a nonparametric…

Statistics Theory · Mathematics 2009-03-02 Hira L. Koul , Weixing Song

Sensitivity analysis is popular in dealing with missing data problems particularly for non-ignorable missingness. It analyses how sensitively the conclusions may depend on assumptions about missing data e.g. missing data mechanism (MDM). We…

Methodology · Statistics 2015-01-26 Peng Yin , Jian Qing Shi

Determining the lack of association between an outcome variable and a number of different explanatory variables is frequently necessary in order to disregard a proposed model. This paper proposes a non-inferiority test for the coefficient…

Methodology · Statistics 2020-02-24 Harlan Campbell

As regression is a widely studied problem, many methods have been proposed to solve it, each of them often requiring setting different hyper-parameters. Therefore, selecting the proper method for a given application may be very difficult…

Machine Learning · Computer Science 2026-03-23 Nassime Mountasir , Baptiste Lafabregue , Bruno Albert , Nicolas Lachiche

The Cox regression model is a popular model for analyzing the relationship between a covariate and a survival endpoint. The standard Cox model assumes a constant covariate effect across the entire covariate domain. However, in many…

Applications · Statistics 2019-09-02 Sarit Agami , David M. Zucker , Donna Spiegelman

Machine learning applications often require calibrated predictions, e.g. a 90\% credible interval should contain the true outcome 90\% of the times. However, typical definitions of calibration only require this to hold on average, and offer…

Machine Learning · Statistics 2020-09-10 Shengjia Zhao , Tengyu Ma , Stefano Ermon

Recent work showed that there could be a large gap between the classical uniform convergence bound and the actual test error of zero-training-error predictors (interpolators) such as deep neural networks. To better understand this gap, we…

Machine Learning · Computer Science 2021-03-09 Zitong Yang , Yu Bai , Song Mei

This paper introduces tools for assessing the sensitivity, to unobserved confounding, of a common estimator of the causal effect of a treatment on an outcome that employs weights: the weighted linear regression of the outcome on the…

Methodology · Statistics 2025-08-06 Leonard Wainstein , Chad Hazlett

This paper deals with the problem of estimating a slope parameter in a simple linear regression model, where independent variables have functional measurement errors. Measurement errors in independent variables, as is well known, cause…

Statistics Theory · Mathematics 2018-04-10 Hisayuki Tsukuma

We study the properties of several likelihood-based statistics commonly used in testing for the presence of a known signal under a mixture model with known background, but unknown signal fraction. Under the null hypothesis of no signal, all…

Data Analysis, Statistics and Probability · Physics 2018-12-26 Igor Volobouev , A. Alexandre Trindade

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

Machine Learning · Statistics 2026-05-06 Stef van Buuren

We study in this paper the consequences of using the Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. We show that finding the best model under the MAPE is equivalent to doing weighted Mean Absolute Error…

Machine Learning · Statistics 2015-06-16 Arnaud De Myttenaere , Boris Golden , Bénédicte Le Grand , Fabrice Rossi

Under-coverage and nonresponse problems are jointly present in most socio-economic surveys. The purpose of this paper is to propose a completely design-based estimation strategy that accounts for both problems without resorting to models…

Statistics Theory · Mathematics 2019-05-10 Maria Michela Dickson , Giuseppe Espa , Lorenzo Fattorini

1. Parameter inference from distorted measurements is discussed. 2. Smeared measurements are unfolded without explicit regularization. The corresponding results are unbiased and permit to fit parameters and to apply quantitative…

Data Analysis, Statistics and Probability · Physics 2016-07-26 Guenter Zech

We propose a novel sensitivity analysis framework for linear estimators with identification failures that can be viewed as seeing the wrong outcome distribution. Our approach measures the degree of identification failure through the change…

Econometrics · Economics 2024-04-30 Jacob Dorn , Luther Yap

We consider high-dimensional generalized linear models when the covariates are contaminated by measurement error. Estimates from errors-in-variables regression models are well-known to be biased in traditional low-dimensional settings if…

Computation · Statistics 2020-01-06 Michael Byrd , Monnie McGee

Recent advances in uncertainty quantification increasingly emphasise the distinction between aleatory and epistemic uncertainty in machine learning, motivating the need for more unified frameworks. However, despite much progress in…

Machine Learning · Computer Science 2026-05-26 Yu Chen , Scott Ferson

Recommender systems often suffer from selection bias as users tend to rate their preferred items. The datasets collected under such conditions exhibit entries missing not at random and thus are not randomized-controlled trials representing…

Information Retrieval · Computer Science 2024-03-05 Wonbin Kweon , Hwanjo Yu

This paper proposes a framework for evaluating the statistical precision of measurement methods from interlaboratory studies where the outcome is a dose-response relationship summarized by a regression line. For such measurement methods,…

Applications · Statistics 2026-05-13 Jun-ichi Takeshita , Yuto Ikeuchi , Tomomichi Suzuki