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Circular variables that represent directions or periodic observations arise in many fields, such as biology and environmental sciences. An important issue when dealing with circular data is how to estimate their dispersion robustly,…

Methodology · Statistics 2026-03-03 Houyem Demni , Mia Hubert , Giovanni C. Porzio , Peter J. Rousseeuw

A large dimensional characterization of robust M-estimators of covariance (or scatter) is provided under the assumption that the dataset comprises independent (essentially Gaussian) legitimate samples as well as arbitrary deterministic…

Statistics Theory · Mathematics 2015-10-28 David Morales-Jimenez , Romain Couillet , Matthew R. McKay

We introduce and develop a novel approach to outlier detection based on adaptation of random subspace learning. Our proposed method handles both high-dimension low-sample size and traditional low-dimensional high-sample size datasets.…

Machine Learning · Statistics 2015-05-05 Bohan Liu , Ernest Fokoue

We investigate the performance of robust estimates of multivariate location under nonstandard data contamination models such as componentwise outliers (i.e., contamination in each variable is independent from the other variables). This…

Statistics Theory · Mathematics 2009-03-04 Fatemah Alqallaf , Stefan Van Aelst , Victor J. Yohai , Ruben H. Zamar

Real-life applications, heavily relying on machine learning, such as dialog systems, demand out-of-domain detection methods. Intent classification models should be equipped with a mechanism to distinguish seen intents from unseen ones so…

Computation and Language · Computer Science 2022-05-24 Alexander Podolskiy , Dmitry Lipin , Andrey Bout , Ekaterina Artemova , Irina Piontkovskaya

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

Methodology · Statistics 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

Anomaly, or out-of-distribution, detection is a promising tool for aiding discoveries of new particles or processes in particle physics. In this work, we identify and address two overlooked opportunities to improve anomaly detection for…

High Energy Physics - Experiment · Physics 2024-01-18 Abhijith Gandrakota , Lily Zhang , Aahlad Puli , Kyle Cranmer , Jennifer Ngadiuba , Rajesh Ranganath , Nhan Tran

The state-of-the-art methods for estimating high-dimensional covariance matrices all shrink the eigenvalues of the sample covariance matrix towards a data-insensitive shrinkage target. The underlying shrinkage transformation is either…

Machine Learning · Statistics 2025-11-25 Man-Chung Yue , Yves Rychener , Daniel Kuhn , Viet Anh Nguyen

We propose an inlier-based outlier detection method capable of both identifying the outliers and explaining why they are outliers, by identifying the outlier-specific features. Specifically, we employ an inlier-based outlier detection…

Machine Learning · Statistics 2017-02-22 Makoto Yamada , Song Liu , Samuel Kaski

Different questions related with analysis of extreme values and outliers arise frequently in practice. To exclude extremal observations and outliers is not a good decision because they contain important information about the observed…

Methodology · Statistics 2018-01-17 Pavlina K. Jordanova , Monika P. Petkova

With the massive data challenges nowadays and the rapid growing of technology, stream mining has recently received considerable attention. To address the large number of scenarios in which this phenomenon manifests itself suitable tools are…

Machine Learning · Computer Science 2016-04-19 Jorge Luis Rivero Perez , Bernardete Ribeiro , Carlos Morell Perez

Outlier detection amounts to finding data points that differ significantly from the norm. Classic outlier detection methods are largely designed for single data type such as continuous or discrete. However, real world data is increasingly…

Machine Learning · Statistics 2016-08-18 Kien Do , Truyen Tran , Dinh Phung , Svetha Venkatesh

In the past decade, various exact balancing-based weighting methods were introduced to the causal inference literature. Exact balancing alleviates the extreme weight and model misspecification issues that may incur when one implements…

Methodology · Statistics 2024-04-30 Yimin Dai , Ying Yan

We present analytical expressions for the means and covariances of the sample distribution of the cross-validated Mahalanobis distance. This measure has proven to be especially useful in the context of representational similarity analysis…

Applications · Statistics 2016-07-06 Jörn Diedrichsen , Serge Provost , Hossein Zareamoghaddam

Out-of-distribution (OOD) detection is critical for reliable deployment of vision models. Mahalanobis-based detectors remain strong baselines, yet their performance varies widely across modern pretrained representations, and it is unclear…

Machine Learning · Computer Science 2026-03-05 Denis Janiak , Jakub Binkowski , Tomasz Kajdanowicz

We propose a novel semiparametric classifier based on Mahalanobis distances of an observation from the competing classes. Our tool is a generalized additive model with the logistic link function that uses these distances as features to…

Methodology · Statistics 2025-02-05 Annesha Ghosh , Anil K. Ghosh , Rita SahaRay , Soham Sarkar

The Projection Congruent Subset (PCS) Outlyingness is a new index of multivariate outlyingness obtained by considering univariate projections of the data. Like many other outlier detection procedures, PCS searches for a subset which…

Methodology · Statistics 2013-08-01 Kaveh Vakili , Eric Schmitt

While robust divergence such as density power divergence and $\gamma$-divergence is helpful for robust statistical inference in the presence of outliers, the tuning parameter that controls the degree of robustness is chosen in a…

Methodology · Statistics 2021-09-15 Shonosuke Sugasawa , Shouto Yonekura

To classify time series by nearest neighbors, we need to specify or learn one or several distance measures. We consider variations of the Mahalanobis distance measures which rely on the inverse covariance matrix of the data. Unfortunately…

Machine Learning · Computer Science 2015-03-17 Zoltán Prekopcsák , Daniel Lemire

In recent years, shrinkage priors have received much attention in high-dimensional data analysis from a Bayesian perspective. Compared with widely used spike-and-slab priors, shrinkage priors have better computational efficiency. But the…

Statistics Theory · Mathematics 2020-01-16 Ruoyang Zhang , Malay Ghosh
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