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Most machine learning algorithms, such as classification or regression, treat the individual data point as the object of interest. Here we consider extending machine learning algorithms to operate on groups of data points. We suggest…

Machine Learning · Computer Science 2021-01-15 Danica J. Sutherland , Liang Xiong , Barnabás Póczos , Jeff Schneider

Spatial perception is the backbone of many robotics applications, and spans a broad range of research problems, including localization and mapping, point cloud alignment, and relative pose estimation from camera images. Robust spatial…

Machine Learning · Statistics 2019-07-31 Vasileios Tzoumas , Pasquale Antonante , Luca Carlone

Graph-level anomaly detection has become a critical topic in diverse areas, such as financial fraud detection and detecting anomalous activities in social networks. While most research has focused on anomaly detection for visual data such…

Machine Learning · Computer Science 2022-08-05 Chen Qiu , Marius Kloft , Stephan Mandt , Maja Rudolph

We show that the empirical Christoffel function associated with a cloud of finitely many points sampled from a distribution, can provide a simple tool for supervised classification in data analysis, with good generalization properties.

Optimization and Control · Mathematics 2022-03-29 Jean-Bernard Lasserre

In this paper, we tackle a critical issue in nonparametric inference for systems of interacting particles on Riemannian manifolds: the identifiability of the interaction functions. Specifically, we define the function spaces on which the…

Numerical Analysis · Mathematics 2024-09-11 Sui Tang , Malik Tuerkoen , Hanming Zhou

Outlier detection is a well-researched and crucial problem in machine learning. However, there is little research on string data outlier detection, as most literature focuses on outlier detection of numerical data. A robust string data…

Machine Learning · Computer Science 2026-03-13 Philip Maus

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

Anomaly detection has important applications in biosurveilance and environmental monitoring. When comparing measured data to data drawn from a baseline distribution, merely, finding clusters in the measured data may not actually represent…

Computational Geometry · Computer Science 2016-08-31 Deepak Agarwal , Jeff M. Phillips , Suresh Venkatasubramanian

Anomalies in economic and financial data -- often linked to rare yet impactful events -- are of theoretical interest, but can also severely distort inference. Although outlier-robust methodologies can be used, many researchers prefer…

Methodology · Statistics 2025-09-01 Monica Billio , Roberto Casarin , Fausto Corradin , Antonio Peruzzi

Most of the existing methods for anomaly detection use only positive data to learn the data distribution, thus they usually need a pre-defined threshold at the detection stage to determine whether a test instance is an outlier.…

Machine Learning · Computer Science 2019-03-19 Kai Tian , Shuigeng Zhou , Jianping Fan , Jihong Guan

The presence of outliers is prevalent in machine learning applications and may produce misleading results. In this paper a new method for dealing with outliers and anomal samples is proposed. To overcome the outlier issue, the proposed…

Machine Learning · Computer Science 2016-07-05 Parsa Bagherzadeh , Hadi Sadoghi Yazdi

Anomaly detection methods have demonstrated remarkable success across various applications. However, assessing their performance, particularly at the pixel-level, presents a complex challenge due to the severe imbalance that is most…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Mehdi Rafiei , Toby P. Breckon , Alexandros Iosifidis

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

In this work we perform outlier detection using ensembles of neural networks obtained by variational approximation of the posterior in a Bayesian neural network setting. The variational parameters are obtained by sampling from the true…

Machine Learning · Statistics 2017-04-25 Nick Pawlowski , Miguel Jaques , Ben Glocker

Kernel-based methods enjoy powerful generalization capabilities in handling a variety of learning tasks. When such methods are provided with sufficient training data, broadly-applicable classes of nonlinear functions can be approximated…

Machine Learning · Statistics 2017-12-29 Fatemeh Sheikholeslami , Dimitris Berberidis , Georgios B. Giannakis

In this paper, a novel framework of sparse kernel learning for Support Vector Data Description (SVDD) based anomaly detection is presented. In this work, optimal sparse feature selection for anomaly detection is first modeled as a Mixed…

Machine Learning · Computer Science 2015-06-09 Zhimin Peng , Prudhvi Gurram , Heesung Kwon , Wotao Yin

We consider state estimation for networked systems where measurements from sensor nodes are contaminated by outliers. A new hierarchical measurement model is formulated for outlier detection by integrating the outlier-free measurement model…

Applications · Statistics 2022-11-08 Hongwei Wang , Hongbin Li , Wei Zhang , Junyi Zuo , Heping Wang , Jun Fang

Anomaly detecting as an important technical in cloud computing is applied to support smooth running of the cloud platform. Traditional detecting methods based on statistic, analysis, etc. lead to the high false-alarm rate due to…

Machine Learning · Computer Science 2019-01-29 Jing Zhang

Anomalous change detection (ACD) is an important problem in remote sensing image processing. Detecting not only pervasive but also anomalous or extreme changes has many applications for which methodologies are available. This paper…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 José A. Padrón-Hidalgo , Valero Laparra , Nathan Longbotham , Gustau Camps-Valls

Probabilistic mixture models are recognized as effective tools for unsupervised outlier detection owing to their interpretability and global characteristics. Among these, Dirichlet process mixture models stand out as a strong alternative to…

Machine Learning · Computer Science 2024-07-26 Dongwook Kim , Juyeon Park , Hee Cheol Chung , Seonghyun Jeong