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In many applications, when building linear regression models, it is important to account for the presence of outliers, i.e., corrupted input data points. Such problems can be formulated as mixed-integer optimization problems involving cubic…

Optimization and Control · Mathematics 2023-07-13 Andrés Gómez , José Neto

In data analysis, contamination caused by outliers is inevitable, and robust statistical methods are strongly demanded. In this paper, our concern is to develop a new approach for robust data analysis based on scoring rules. The scoring…

Statistics Theory · Mathematics 2013-11-22 Takafumi Kanamori , Hironori Fujisawa

Functional logistic regression is a popular model to capture a linear relationship between binary response and functional predictor variables. However, many methods used for parameter estimation in functional logistic regression are…

Methodology · Statistics 2025-10-15 Berkay Akturk , Ufuk Beyaztas , Han Lin Shang

We consider outlier-robust and sparse estimation of linear regression coefficients, when the covariates and the noises are contaminated by adversarial outliers and noises are sampled from a heavy-tailed distribution. Our results present…

Statistics Theory · Mathematics 2024-05-27 Takeyuki Sasai , Hironori Fujisawa

Linear regression with normally distributed errors - including particular cases such as ANOVA, Student's t-test or location-scale inference - is a widely used statistical procedure. In this case the ordinary least squares estimator…

Methodology · Statistics 2019-09-18 Alain Desgagné

Modern data collecting methods and computation tools have made it possible to monitor high-dimensional processes. In this article, Phase II monitoring of high-dimensional processes is investigated when the available number of samples…

Methodology · Statistics 2023-01-24 Mohsen Ebadi , Shojaeddin Chenouri , Stefan H. Steiner

The minimum regularized covariance determinant method (MRCD) is a robust estimator for multivariate location and scatter, which detects outliers by fitting a robust covariance matrix to the data. Its regularization ensures that the…

Machine Learning · Statistics 2024-07-08 Joachim Schreurs , Iwein Vranckx , Mia Hubert , Johan A. K. Suykens , Peter J. Rousseeuw

Mean embeddings provide an extremely flexible and powerful tool in machine learning and statistics to represent probability distributions and define a semi-metric (MMD, maximum mean discrepancy; also called N-distance or energy distance),…

Machine Learning · Statistics 2019-05-17 Matthieu Lerasle , Zoltan Szabo , Timothee Mathieu , Guillaume Lecue

Out-of-distribution detection (OOD) deals with anomalous input to neural networks. In the past, specialized methods have been proposed to reject predictions on anomalous input. Similarly, it was shown that feature extraction models in…

Machine Learning · Computer Science 2022-01-25 Jan Diers , Christian Pigorsch

Mendelian Randomisation (MR) uses genetic variants as instrumental variables to infer causal effects of exposures on an outcome. One key assumption of MR is that the genetic variants used as instrumental variables are independent of the…

Methodology · Statistics 2025-02-21 Maximilian M Mandl , Anne-Laure Boulesteix , Stephen Burgess , Verena Zuber

Detecting which nodes in graphs are outliers is a relatively new machine learning task with numerous applications. Despite the proliferation of algorithms developed in recent years for this task, there has been no standard comprehensive…

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…

Statistics Theory · Mathematics 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

Outlier detection and cleaning are essential steps in data preprocessing to ensure the integrity and validity of data analyses. This paper focuses on outlier points within individual trajectories, i.e., points that deviate significantly…

Databases · Computer Science 2025-11-26 Mariana M Garcez Duarte , Mahmoud Sakr

For many important problems the quantity of interest is an unknown function of the parameters, which is a random vector with known statistics. Since the dependence of the output on this random vector is unknown, the challenge is to identify…

Machine Learning · Statistics 2021-04-28 Themistoklis P. Sapsis

The implementation of road user models that realistically reproduce a credible behavior in a multi-agentsimulation is still an open problem. A data-driven approach consists on to deduce behaviors that may exist in real situation to obtain…

Artificial Intelligence · Computer Science 2024-07-04 Nelson de Moura , Augustin Gervreau-Mercier , Fernando Garrido , Fawzi Nashashibi

A new technique for the detection of outliers in contingency tables is introduced. Outliers thereby are unexpected cell counts with respect to classical loglinear Poisson models. Subsets of cell counts called minimal patterns are defined,…

Computation · Statistics 2012-11-15 Sonja Kuhnt , Fabio Rapallo , André Rehage

Although there exist very accurate hardware systems for measuring traffic on the internet, their widespread use for analysis tasks is limited by their high cost. On the other hand, less expensive, software-based systems exist that are…

Networking and Internet Architecture · Computer Science 2009-07-31 Sean McPherson , Antonio Ortega

Anomaly detection in medical imaging is a challenging task in contexts where abnormalities are not annotated. This problem can be addressed through unsupervised anomaly detection (UAD) methods, which identify features that do not match with…

Image and Video Processing · Electrical Eng. & Systems 2023-09-07 Geoffroy Oudoumanessah , Carole Lartizien , Michel Dojat , Florence Forbes

Revenue management strongly relies on accurate forecasts. Thus, when extraordinary events cause outlier demand, revenue management systems need to recognise this and adapt both forecast and controls. Many passenger transport service…

Methodology · Statistics 2021-02-10 Nicola Rennie , Catherine Cleophas , Adam M. Sykulski , Florian Dost

Robust estimators of large covariance matrices are considered, comprising regularized (linear shrinkage) modifications of Maronna's classical M-estimators. These estimators provide robustness to outliers, while simultaneously being…

Statistics Theory · Mathematics 2018-07-04 Nicolas Auguin , David Morales-Jimenez , Matthew R. McKay , Romain Couillet