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We study two problems in high-dimensional robust statistics: \emph{robust mean estimation} and \emph{outlier detection}. In robust mean estimation the goal is to estimate the mean $\mu$ of a distribution on $\mathbb{R}^d$ given $n$…

Data Structures and Algorithms · Computer Science 2019-06-28 Yihe Dong , Samuel B. Hopkins , Jerry Li

This paper is concerned with the online estimation of a nonlinear dynamic system from a series of noisy measurements. The focus is on cases wherein outliers are present in-between normal noises. We assume that the outliers follow an unknown…

Computation · Statistics 2019-05-14 Bin Liu

Outlying observations can be challenging to handle and adversely affect subsequent analyses, especially in data with increasing dimensional complexity. Although outliers are not always undesired anomalies in the data and may possess…

Methodology · Statistics 2025-09-18 Anthony-Alexander Christidis , Gabriela Cohen-Freue

Artificial intelligence systems are being increasingly deployed due to their potential to increase the efficiency, scale, consistency, fairness, and accuracy of decisions. However, as many of these systems are opaque in their operation,…

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

Outlier detection is an important topic in machine learning and has been used in a wide range of applications. Outliers are objects that are few in number and deviate from the majority of objects. As a result of these two properties, we…

Machine Learning · Computer Science 2022-04-22 Xusheng Du , Enguang Zuo , Zhenzhen He , Jiong Yu

Often the challenge associated with tasks like fraud and spam detection is the lack of all likely patterns needed to train suitable supervised learning models. This problem accentuates when the fraudulent patterns are not only scarce, they…

Machine Learning · Computer Science 2019-05-08 Utkarsh Porwal , Smruthi Mukund

Outlier detection and concept drift detection represent two challenges in data analysis. Most studies address these issues separately. However, joint detection mechanisms in regression remain underexplored, where the continuous nature of…

Methodology · Statistics 2025-12-16 Bingbing Wang , Shengyan Sun , Jiaqi Wang , Yu Tang

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

Boosting is a popular algorithm in supervised machine learning with wide applications in regression and classification problems. It combines weak learners, such as regression trees, to obtain accurate predictions. However, in the presence…

Computation · Statistics 2025-02-06 Zhu Wang

Outliers widely occur in big-data applications and may severely affect statistical estimation and inference. In this paper, a framework of outlier-resistant estimation is introduced to robustify an arbitrarily given loss function. It has a…

Methodology · Statistics 2023-04-20 Yiyuan She , Zhifeng Wang , Jiahui Shen

Outlier detection tasks aim at discovering potential issues or opportunities and are widely used in cybersecurity, financial security, industrial inspection, etc. To date, thousands of outlier detection algorithms have been proposed.…

Machine Learning · Computer Science 2025-02-11 Qi Li

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

Optimization and Control · Mathematics 2020-07-07 Joubine Aghili , Olga Mula

Automated theorem proving has long been a key task of artificial intelligence. Proofs form the bedrock of rigorous scientific inquiry. Many tools for both partially and fully automating their derivations have been developed over the last…

Artificial Intelligence · Computer Science 2018-10-15 Brian Groenke

The need to explain predictive models is well-established in modern machine learning. However, beyond model interpretability, understanding pre-processing methods is equally essential. Understanding how data modifications impact model…

Artificial Intelligence · Computer Science 2025-05-09 Matteo Ceschin , Leonardo Arrighi , Luca Longo , Sylvio Barbon Junior

Clustering is a fundamental tool in unsupervised learning, used to group objects by distinguishing between similar and dissimilar features of a given data set. One of the most common clustering algorithms is k-means. Unfortunately, when…

Machine Learning · Statistics 2021-08-17 Olga Dorabiala , J. Nathan Kutz , Aleksandr Aravkin

A new anomaly detection method called kernel outlier detection (KOD) is proposed. It is designed to address challenges of outlier detection in high-dimensional settings. The aim is to overcome limitations of existing methods, such as…

Machine Learning · Computer Science 2025-07-01 Can Hakan Dağıdır , Mia Hubert , Peter J. Rousseeuw

This paper presents a new approach for detecting outliers by introducing the notion of object's proximity. The main idea is that normal point has similar characteristics with several neighbors. So the point in not an outlier if it has a…

Computer Vision and Pattern Recognition · Computer Science 2014-11-26 Amina Dik , Khalid Jebari , Abdelaziz Bouroumi , Aziz Ettouhami

Outlier detection (OD) is a key learning task for finding rare and deviant data samples, with many time-critical applications such as fraud detection and intrusion detection. In this work, we propose TOD, the first tensor-based system for…

Machine Learning · Computer Science 2022-09-20 Yue Zhao , George H. Chen , Zhihao Jia

Information Retriever (IR) aims to find the relevant documents (e.g. snippets, passages, and articles) to a given query at large scale. IR plays an important role in many tasks such as open domain question answering and dialogue systems,…

Computation and Language · Computer Science 2022-06-01 Man Luo