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Detecting out-of-distribution (OOD) data is critical for machine learning, be it for safety reasons or to enable open-ended learning. However, beyond mere detection, choosing an appropriate course of action typically hinges on the type of…

Machine Learning · Computer Science 2026-04-28 Achref Jaziri , Martin Rogmann , Martin Mundt , Visvanathan Ramesh

With predictive models becoming prevalent, companies are expanding the types of data they gather. As a result, the collected datasets consist not only of simple numerical features but also more complex objects such as time series, images,…

Machine Learning · Computer Science 2025-07-01 Sebastian Chwilczyński , Dariusz Brzezinski

Outlying observations are frequently encountered across a wide spectrum of scientific domains, posing notable challenges to the generalizability of statistical models and the reproducibility of downstream analysis. They are identified…

Methodology · Statistics 2026-03-17 Dongliang Zhang , Masoud Asgharian , Martin A. Lindquist

The automatic detection of skin diseases via dermoscopic images can improve the efficiency in diagnosis and help doctors make more accurate judgments. However, conventional skin disease recognition systems may produce high confidence for…

Computer Vision and Pattern Recognition · Computer Science 2023-01-19 Zhongzheng Huang , Tao Wang , Yuanzheng Cai , Lingyu Liang

We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution,…

Statistics Theory · Mathematics 2023-06-19 Joni Virta

Umbral dots (UDs) are small-scale convective intrusions in the umbral core of sunspots and pores. Different methods have been used in the past to determine the physical properties of UDs. One of the methods typically used is multi-level…

Solar and Stellar Astrophysics · Physics 2026-05-27 Rohan Eugene Louis , Amit Chaturvedi

With the rise of machine learning and deep learning based applications in practice, monitoring, i.e. verifying that these operate within specification, has become an important practical problem. An important aspect of this monitoring is to…

Machine Learning · Computer Science 2021-06-29 Thomas Viehmann

The ability to collect and store ever more massive databases has been accompanied by the need to process them efficiently. In many cases, most observations have the same behavior, while a probable small proportion of these observations are…

Statistics Theory · Mathematics 2021-09-21 Myrto Limnios , Nathan Noiry , Stéphan Clémençon

Detecting anomalies in data is a vital task, with numerous high-impact applications in areas such as security, finance, health care, and law enforcement. While numerous techniques have been developed in past years for spotting outliers and…

Social and Information Networks · Computer Science 2014-04-29 Leman Akoglu , Hanghang Tong , Danai Koutra

Detecting out-of-distribution inputs for visual recognition models has become critical in safe deep learning. This paper proposes a novel hierarchical visual category modeling scheme to separate out-of-distribution data from in-distribution…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Jinglun Li , Xinyu Zhou , Pinxue Guo , Yixuan Sun , Yiwen Huang , Weifeng Ge , Wenqiang Zhang

Outlier detection in high-dimensional data is a challenging yet important task, as it has applications in, e.g., fraud detection and quality control. State-of-the-art density-based algorithms perform well because they 1) take the local…

Artificial Intelligence · Computer Science 2016-11-02 Bas van Stein , Matthijs van Leeuwen , Thomas Bäck

Functional linear regression is a widely used approach to model functional responses with respect to functional inputs. However, classical functional linear regression models can be severely affected by outliers. We therefore introduce a…

Methodology · Statistics 2019-09-02 Harjit Hullait , David S. Leslie , Nicos G. Pavlidis , Steve King

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Considering a common case where measurements are obtained from independent sensors, we present a novel outlier-robust filter for nonlinear dynamical systems in this work. The proposed method is devised by modifying the measurement model and…

Systems and Control · Electrical Eng. & Systems 2022-01-26 Aamir Hussain Chughtai , Muhammad Tahir , Momin Uppal

Large datasets are often affected by cell-wise outliers in the form of missing or erroneous data. However, discarding any samples containing outliers may result in a dataset that is too small to accurately estimate the covariance matrix.…

Statistics Theory · Mathematics 2023-11-13 Karim Lounici , Grégoire Pacreau

Moving beyond testing on in-distribution data works on Out-of-Distribution (OOD) detection have recently increased in popularity. A recent attempt to categorize OOD data introduces the concept of near and far OOD detection. Specifically,…

Machine Learning · Computer Science 2021-11-23 Junjiao Tian , Yen-Change Hsu , Yilin Shen , Hongxia Jin , Zsolt Kira

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

In recent years, there have been significant improvements in various forms of image outlier detection. However, outlier detection performance under adversarial settings lags far behind that in standard settings. This is due to the lack of…

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

A data depth measures the centrality of a point with respect to an empirical distribution. Postulates are formulated, which a depth for functional data should satisfy, and a general approach is proposed to construct multivariate data depths…

Methodology · Statistics 2018-01-31 Karl Mosler , Yulia Polyakova