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Finding the underlying probability distributions of a set of observed sequences under the constraint that each sequence is generated i.i.d by a distinct distribution is considered. The number of distributions, and hence the number of…

Information Theory · Computer Science 2018-10-16 Sara Shahi , Daniela Tuninetti , Natasha Devroye

Detecting anomalies or out-of-distribution (OOD) samples is critical for maintaining the reliability and trustworthiness of machine learning systems. Recently, Large Language Models (LLMs) have demonstrated their effectiveness not only in…

Machine Learning · Computer Science 2025-02-17 Ruiyao Xu , Kaize Ding

We study the problem of efficiently detecting Out-of-Distribution (OOD) samples at test time in supervised and unsupervised learning contexts. While ML models are typically trained under the assumption that training and test data stem from…

Machine Learning · Computer Science 2024-05-13 Alberto Caron , Chris Hicks , Vasilios Mavroudis

This work presents an upper-bound to value that the Kullback-Leibler (KL) divergence can reach for a class of probability distributions called quantum distributions (QD). The aim is to find a distribution $U$ which maximizes the KL…

Machine Learning · Computer Science 2020-12-11 Vincenzo Bonnici

Outlier detection refers to the identification of anomalous samples that deviate significantly from the distribution of normal data and has been extensively studied and used in a variety of practical tasks. However, most unsupervised…

Machine Learning · Computer Science 2025-01-07 Can Gao , Xiaofeng Tan , Jie Zhou , Weiping Ding , Witold Pedrycz

Using the intuition that out-of-distribution data have lower likelihoods, a common approach for out-of-distribution detection involves estimating the underlying data distribution. Normalizing flows are likelihood-based generative models…

Machine Learning · Computer Science 2025-01-30 Seyedeh Fatemeh Razavi , Mohammad Mahdi Mehmanchi , Reshad Hosseini , Mostafa Tavassolipour

We examine the estimation of the Kullback-Leibler (KL) divergence and the use of the goodness-of-fit test for multivariate continuous distributions. Our starting point is the maximum entropy principle for Shannon entropy: among all…

Statistics Theory · Mathematics 2026-03-10 Mehmet Siddik Cadirci , Martin Singull

This paper unifies the theory of consistent-set maximization for robust outlier detection in a simultaneous localization and mapping framework. We first describe the notion of pairwise consistency before discussing how a consistency graph…

Robotics · Computer Science 2023-08-08 Brendon Forsgren , Ram Vasudevan , Michael Kaess , Timothy W. McLain , Joshua G. Mangelson

The development of effective knowledge discovery techniques has become in the recent few years a very active research area due to the important impact it has in several relevant application areas. One interesting task thereof is that of…

Artificial Intelligence · Computer Science 2007-05-23 Fabrizio Angiulli , Gianluigi Greco , Luigi Palopoli

In the real world, a learning system could receive an input that is unlike anything it has seen during training. Unfortunately, out-of-distribution samples can lead to unpredictable behaviour. We need to know whether any given input belongs…

Machine Learning · Computer Science 2019-08-21 Alireza Shafaei , Mark Schmidt , James J. Little

Outlier detection (OD), distinguishing inliers and outliers in completely unlabeled datasets, plays a vital role in science and engineering. Although there have been many insightful OD methods, most of them require troublesome…

Machine Learning · Computer Science 2026-03-17 Dazhi Fu , Jicong Fan

Outlier detection has received special attention in various fields, mainly for those dealing with machine learning and artificial intelligence. As strong outliers, anomalies are divided into the point, contextual and collective outliers.…

Machine Learning · Computer Science 2020-01-29 Rasoul Kiani , Amin Keshavarzi , Mahdi Bohlouli

Out-of-Distribution (OOD) detection is a critical task that has garnered significant attention. The emergence of CLIP has spurred extensive research into zero-shot OOD detection, often employing a training-free approach. Current methods…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Haoran Xu , Yanlin Liu , Zizhao Tong , Jiaze Li , Kexue Fu , Yuyang Zhang , Longxiang Gao , Shuaiguang Li , Xingyu Li , Yanran Xu , Changwei Wang

We develop a fully non-parametric, easy-to-use, and powerful test for the missing completely at random (MCAR) assumption on the missingness mechanism of a dataset. The test compares distributions of different missing patterns on random…

Methodology · Statistics 2022-12-01 Meta-Lina Spohn , Jeffrey Näf , Loris Michel , Nicolai Meinshausen

Deep generative models trained by maximum likelihood remain very popular methods for reasoning about data probabilistically. However, it has been observed that they can assign higher likelihoods to out-of-distribution (OOD) data than…

Machine Learning · Statistics 2023-06-16 Anthony L. Caterini , Gabriel Loaiza-Ganem

Event sequence data record the occurrences of events in continuous time. Event sequence forecasting based on temporal point processes (TPPs) has been extensively studied, but outlier or anomaly detection, especially without any supervision…

Machine Learning · Computer Science 2024-11-26 Somjit Nath , Yik Chau Lui , Siqi Liu

Patterns that appear rarely or unusually in the data can be defined as outlier patterns. The basic idea behind detecting outlier patterns is comparison of their relative frequencies with frequent patterns. Their frequencies of appearance…

Databases · Computer Science 2015-07-08 Archana N. , S. S. Pawar

Unsupervised learning methods are well established in the area of anomaly detection and achieve state of the art performances on outlier datasets. Outliers play a significant role, since they bear the potential to distort the predictions of…

Machine Learning · Computer Science 2024-07-02 Andreas Lohrer , Daniyal Kazempour , Maximilian Hünemörder , Peer Kröger

The association between a continuous and an ordinal variable is commonly modeled through the polyserial correlation model. However, this model, which is based on a partially-latent normality assumption, may be misspecified in practice, due…

Methodology · Statistics 2026-02-11 Max Welz

Out-of-distribution (OOD) detection is critical to ensuring the reliability and safety of machine learning systems. For instance, in autonomous driving, we would like the driving system to issue an alert and hand over the control to humans…

Computer Vision and Pattern Recognition · Computer Science 2024-01-24 Jingkang Yang , Kaiyang Zhou , Yixuan Li , Ziwei Liu
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