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Generalized Linear Models are routinely used in data analysis. The classical procedures for estimation are based on Maximum Likelihood and it is well known that the presence of outliers can have a large impact on this estimator. Robust…

Computation · Statistics 2017-10-02 Marina Valdora , Claudio Agostinelli , Victor J. Yohai

The restricted polynomially-tilted pairwise interaction (RPPI) distribution gives a flexible model for compositional data. It is particularly well-suited to situations where some of the marginal distributions of the components of a…

Methodology · Statistics 2023-05-15 Janice L. Scealy , Kassel L. Hingee , John T. Kent , Andrew T. A. Wood

PyOD is an open-source Python toolbox for performing scalable outlier detection on multivariate data. Uniquely, it provides access to a wide range of outlier detection algorithms, including established outlier ensembles and more recent…

Machine Learning · Computer Science 2019-06-12 Yue Zhao , Zain Nasrullah , Zheng Li

Robust estimation approaches are of fundamental importance for statistical modelling. To reduce susceptibility to outliers, we propose a robust estimation procedure with t-process under functional ANOVA model. Besides common mean structure…

Methodology · Statistics 2018-12-19 Chen Zhang , Zimu Chen , Zhanfeng Wang , Yaohua Wu

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

Methodology · Statistics 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

This paper presents a fast methodology, called ROBOUT, to identify outliers in a response variable conditional on a set of linearly related predictors, retrieved from a large granular dataset. ROBOUT is shown to be effective and…

Methodology · Statistics 2021-04-27 Matteo Farnè , Angelos Vouldis

Bayesian Networks (BNs) are used in various fields for modeling, prediction, and decision making. pgmpy is a python package that provides a collection of algorithms and tools to work with BNs and related models. It implements algorithms for…

Machine Learning · Computer Science 2023-04-19 Ankur Ankan , Johannes Textor

Gaussian process regression (GPR) model is well-known to be susceptible to outliers. Robust process regression models based on t-process or other heavy-tailed processes have been developed to address the problem. However, due to the nature…

Methodology · Statistics 2017-07-10 Wang Zhanfeng , Noh Maengseok , Lee Youngjo , Shi Jianqing

We consider the problem of learning from noisy data in practical settings where the size of data is too large to store on a single machine. More challenging, the data coming from the wild may contain malicious outliers. To address the…

Machine Learning · Computer Science 2017-01-03 Jiashi Feng , Huan Xu , Shie Mannor

Mediation analysis is one of the most widely used statistical techniques in the social, behavioral, and medical sciences. Mediation models allow to study how an independent variable affects a dependent variable indirectly through one or…

Computation · Statistics 2022-08-18 Andreas Alfons , Nüfer Y. Ateş , Patrick J. F. Groenen

Algorithmic fairness has received considerable attention due to the failures of various predictive AI systems that have been found to be unfairly biased against subgroups of the population. Many approaches have been proposed to mitigate…

Machine Learning · Computer Science 2025-03-14 Agathe Fernandes Machado , Suzie Grondin , Philipp Ratz , Arthur Charpentier , François Hu

Partially linear additive models generalize linear ones since they model the relation between a response variable and covariates by assuming that some covariates have a linear relation with the response but each of the others enter through…

Methodology · Statistics 2023-08-08 Graciela Boente , Alejandra Mercedes Martinez

Fully robust versions of the elastic net estimator are introduced for linear and logistic regression. The algorithms to compute the estimators are based on the idea of repeatedly applying the non-robust classical estimators to data subsets…

Methodology · Statistics 2017-03-16 Fatma Sevinc Kurnaz , Irene Hoffmann , Peter Filzmoser

The presence of outlying observations may adversely affect statistical testing procedures that result in unstable test statistics and unreliable inferences depending on the distortion in parameter estimates. In spite of the fact that the…

Methodology · Statistics 2021-04-19 Beste Hamiye Beyaztas , Soutir Bandyopadhyay , Abhijit Mandal

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

Two fundamental research tasks in science and engineering are forward predictions and data inversion. This article introduces a recent R package RobustCalibration for Bayesian data inversion and model calibration by experiments and field…

Computation · Statistics 2024-02-20 Mengyang Gu

We introduce GraSPy, a Python library devoted to statistical inference, machine learning, and visualization of random graphs and graph populations. This package provides flexible and easy-to-use algorithms for analyzing and understanding…

Social and Information Networks · Computer Science 2019-10-25 Jaewon Chung , Benjamin D. Pedigo , Eric W. Bridgeford , Bijan K. Varjavand , Hayden S. Helm , Joshua T. Vogelstein

Many estimation problems in robotics, computer vision, and learning require estimating unknown quantities in the face of outliers. Outliers are typically the result of incorrect data association or feature matching, and it is common to have…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Jingnan Shi , Heng Yang , Luca Carlone

Cellwise outliers are likely to occur together with casewise outliers in modern data sets with relatively large dimension. Recent work has shown that traditional robust regression methods may fail for data sets in this paradigm. The…

Statistics Theory · Mathematics 2016-12-28 Andy Leung , Hongyang Zhang , Ruben H. Zamar

The best subset selection (or "best subsets") estimator is a classic tool for sparse regression, and developments in mathematical optimization over the past decade have made it more computationally tractable than ever. Notwithstanding its…

Methodology · Statistics 2022-01-11 Ryan Thompson