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Deep generative models (DGM) are neural networks with many hidden layers trained to approximate complicated, high-dimensional probability distributions using a large number of samples. When trained successfully, we can use the DGMs to…

Machine Learning · Computer Science 2021-04-13 Lars Ruthotto , Eldad Haber

Anomaly detection (AD) plays a pivotal role across diverse domains, including cybersecurity, finance, healthcare, and industrial manufacturing, by identifying unexpected patterns that deviate from established norms in real-world data.…

Machine Learning · Computer Science 2025-06-12 Yang Liu , Jing Liu , Chengfang Li , Rui Xi , Wenchao Li , Liang Cao , Jin Wang , Laurence T. Yang , Junsong Yuan , Wei Zhou

Outlier detection is an important topic in machine learning and has been used in a wide range of applications. In this paper, we approach outlier detection as a binary-classification issue by sampling potential outliers from a uniform…

Machine Learning · Computer Science 2019-03-19 Yezheng Liu , Zhe Li , Chong Zhou , Yuanchun Jiang , Jianshan Sun , Meng Wang , Xiangnan He

Multi-dimensional scaling (MDS) plays a central role in data-exploration, dimensionality reduction and visualization. State-of-the-art MDS algorithms are not robust to outliers, yielding significant errors in the embedding even when only a…

Computer Vision and Pattern Recognition · Computer Science 2018-02-08 Leonid Blouvshtein , Daniel Cohen-Or

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

Many deep models have been recently proposed for anomaly detection. This paper presents comparison of selected generative deep models and classical anomaly detection methods on an extensive number of non--image benchmark datasets. We…

Machine Learning · Computer Science 2018-07-16 Vít Škvára , Tomáš Pevný , Václav Šmídl

Deep generative models have been demonstrated as state-of-the-art density estimators. Yet, recent work has found that they often assign a higher likelihood to data from outside the training distribution. This seemingly paradoxical behavior…

Machine Learning · Computer Science 2022-01-19 Jakob D. Havtorn , Jes Frellsen , Søren Hauberg , Lars Maaløe

Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

Machine Learning · Statistics 2021-01-13 Peter J. Rousseeuw , Mia Hubert

Class-conditional generative models hold promise to overcome the shortcomings of their discriminative counterparts. They are a natural choice to solve discriminative tasks in a robust manner as they jointly optimize for predictive…

Machine Learning · Computer Science 2020-02-18 Ethan Fetaya , Jörn-Henrik Jacobsen , Will Grathwohl , Richard Zemel

Deep neural network, despite its remarkable capability of discriminating targeted in-distribution samples, shows poor performance on detecting anomalous out-of-distribution data. To address this defect, state-of-the-art solutions choose to…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Boxi Wu , Jie Jiang , Haidong Ren , Zifan Du , Wenxiao Wang , Zhifeng Li , Deng Cai , Xiaofei He , Binbin Lin , Wei Liu

A new method for outlier detection and generation is introduced by lifting data into the space of probability distributions which are not analytically expressible, but from which samples can be drawn using a neural generator. Given a…

Machine Learning · Computer Science 2020-12-24 Stefano Giovanni Rizzo , Linsey Pang , Yixian Chen , Sanjay Chawla

Machine learning techniques can automatically identify outliers in massive datasets, much faster and more reproducible than human inspection ever could. But finding such outliers immediately leads to the question: which features render this…

Machine Learning · Computer Science 2023-11-01 Jeff Shen , Peter Melchior

Outlier detection is an important problem occurring in a wide range of areas. Outliers are the outcome of fraudulent behaviour, mechanical faults, human error, or simply natural deviations. Many data mining applications perform outlier…

Machine Learning · Computer Science 2025-10-28 Juan A. Lara , David Lizcano , Víctor Rampérez , Javier Soriano

Modern deep generative models can assign high likelihood to inputs drawn from outside the training distribution, posing threats to models in open-world deployments. While much research attention has been placed on defining new test-time…

Machine Learning · Computer Science 2022-08-22 Mu Cai , Yixuan Li

Outliers are samples that are generated by different mechanisms from other normal data samples. Graphs, in particular social network graphs, may contain nodes and edges that are made by scammers, malicious programs or mistakenly by normal…

Social and Information Networks · Computer Science 2016-06-22 Honglei Zhang , Serkan Kiranyaz , Moncef Gabbouj

This paper proposes an adaptive penalized weighted mean regression for outlier detection of high-dimensional data. In comparison to existing approaches based on the mean shift model, the proposed estimators demonstrate robustness against…

Statistics Theory · Mathematics 2023-06-27 Jiaqi Li , Linglong Kong , Bei Jiang , Wei Tu

Outlier explanation is the task of identifying a set of features that distinguish a sample from normal data, which is important for downstream (human) decision-making. Existing methods are based on beam search in the space of feature…

Machine Learning · Computer Science 2022-07-19 Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Outlier detection is an important task in data mining and many technologies have been explored in various applications. However, due to the default assumption that outliers are non-concentrated, unsupervised outlier detection may not…

Machine Learning · Computer Science 2020-03-10 Zhe Li , Chunhua Sun , Chunli Liu , Xiayu Chen , Meng Wang , Yezheng Liu

In statistics and machine learning, the traditional meaning of the terms `outlier' and `anomaly' is a case in the dataset that behaves differently from the bulk of the data. This raises suspicion that it may belong to a different…

Methodology · Statistics 2026-04-17 Mia Hubert , Jakob Raymaekers , Peter J. Rousseeuw

Reliable confidence estimation for deep neural classifiers is a challenging yet fundamental requirement in high-stakes applications. Unfortunately, modern deep neural networks are often overconfident for their erroneous predictions. In this…

Machine Learning · Computer Science 2023-03-31 Fei Zhu , Zhen Cheng , Xu-Yao Zhang , Cheng-Lin Liu
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