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In many industrial applications, obtaining labeled observations is not straightforward as it often requires the intervention of human experts or the use of expensive testing equipment. In these circumstances, active learning can be highly…

Machine Learning · Statistics 2023-07-19 Davide Cacciarelli , Murat Kulahci , John Sølve Tyssedal

Anomaly detection aims at identifying data points that show systematic deviations from the majority of data in an unlabeled dataset. A common assumption is that clean training data (free of anomalies) is available, which is often violated…

Machine Learning · Computer Science 2022-07-20 Chen Qiu , Aodong Li , Marius Kloft , Maja Rudolph , Stephan Mandt

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

Methodology · Statistics 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

Machine learning and data analysis have been used in many robotics fields, especially for modelling. Data are usually the result of sensor measurements and, as such, they might be subjected to noise and outliers. The presence of outliers…

Robotics · Computer Science 2019-08-26 Francesco Cursi , Guang-Zhong Yang

This paper studies the construction of p-values for nonparametric outlier detection, taking a multiple-testing perspective. The goal is to test whether new independent samples belong to the same distribution as a reference data set or are…

Methodology · Statistics 2024-03-12 Stephen Bates , Emmanuel Candès , Lihua Lei , Yaniv Romano , Matteo Sesia

Conformal inference provides a rigorous statistical framework for uncertainty quantification in machine learning, enabling well-calibrated prediction sets with precise coverage guarantees for any classification model. However, its reliance…

In a standard classification framework a set of trustworthy learning data are employed to build a decision rule, with the final aim of classifying unlabelled units belonging to the test set. Therefore, unreliable labelled observations,…

Applications · Statistics 2019-11-20 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy

Robust optimization safeguards decisions against uncertainty by optimizing against worst-case scenarios, yet their effectiveness hinges on a prespecified robustness level that is often chosen ad hoc, leading to either insufficient…

Machine Learning · Statistics 2026-02-02 Wenbin Zhou , Shixiang Zhu

Conformal unlearning aims to ensure that a trained conformal predictor miscovers data points with specific shared characteristics, such as those from a particular label class, associated with a specific user, or belonging to a defined…

Machine Learning · Computer Science 2026-02-13 Yahya Alkhatib , Muhammad Ahmar Jamal , Wee Peng Tay

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

Machine Learning · Statistics 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

The Classical Tukey-Huber Contamination Model (CCM) is a usual framework to describe the mechanism of outliers generation in robust statistics. In a data set with $n$ observations and $p$ variables, under the CCM, an outlier is a unit, even…

Statistics Theory · Mathematics 2014-07-15 Claudio Agostinelli , Victor J. Yohai

In an industrial context, the activity of sensors is recorded at a high frequency. A challenge is to automatically detect abnormal measurement behavior. Considering the sensor measures as functional data, the problem can be formulated as…

Statistics Theory · Mathematics 2022-03-09 Martial Amovin-Assagba , Irène Gannaz , Julien Jacques

We extend the method of conformal prediction beyond the case relying on labeled calibration data. Replacing the calibration scores by suitable estimates, we identify conformity sets $C$ for classification and regression models that rely on…

Methodology · Statistics 2025-09-15 Jonas Flechsig , Maximilian Pilz

Parameter estimation of mixture regression model using the expectation maximization (EM) algorithm is highly sensitive to outliers. Here we propose a fast and efficient robust mixture regression algorithm, called Component-wise Adaptive…

Methodology · Statistics 2021-04-20 Wennan Chang , Xinyu Zhou , Yong Zang , Chi Zhang , Sha Cao

We propose a general approach to handle data contaminations that might disrupt the performance of feature selection and estimation procedures for high-dimensional linear models. Specifically, we consider the co-occurrence of mean-shift and…

Methodology · Statistics 2021-06-23 Luca Insolia , Francesca Chiaromonte , Runze Li , Marco Riani

Conformal prediction is a learning framework controlling prediction coverage of prediction sets, which can be built on any learning algorithm for point prediction. This work proposes a learning framework named conformal loss-controlling…

Machine Learning · Computer Science 2024-01-24 Di Wang , Ping Wang , Zhong Ji , Xiaojun Yang , Hongyue Li

In the classical contamination models, such as the gross-error (Huber and Tukey contamination model or Case-wise Contamination), observations are considered as the units to be identified as outliers or not. This model is very useful when…

Statistics Theory · Mathematics 2021-03-11 Giovanni Saraceno , Claudio Agostinelli

We study robust regression under a contamination model in which covariates are clean while the responses may be corrupted in an adaptive manner. Unlike the classical Huber's contamination model, where both covariates and responses may be…

Statistics Theory · Mathematics 2026-04-07 Ilias Diakonikolas , Chao Gao , Daniel M. Kane , Ankit Pensia , Dong Xie

Conformal predictive systems allow forecasters to issue predictive distributions for real-valued future outcomes that have out-of-sample calibration guarantees. On a more abstract level, conformal prediction makes use of in-sample…

Methodology · Statistics 2025-03-07 Sam Allen , Georgios Gavrilopoulos , Alexander Henzi , Gian-Reto Kleger , Johanna Ziegel

The problem of identifying the most discriminating features when performing supervised learning has been extensively investigated. In particular, several methods for variable selection in model-based classification have been proposed.…

Applications · Statistics 2020-12-16 Andrea Cappozzo , Francesca Greselin , Thomas Brendan Murphy