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We propose a non-parametric anomaly detection algorithm for high dimensional data. We score each datapoint by its average $K$-NN distance, and rank them accordingly. We then train limited complexity models to imitate these scores based on…

Machine Learning · Computer Science 2015-02-09 Jing Qian , Jonathan Root , Venkatesh Saligrama

We propose a novel non-parametric adaptive anomaly detection algorithm for high dimensional data based on score functions derived from nearest neighbor graphs on $n$-point nominal data. Anomalies are declared whenever the score of a test…

Machine Learning · Computer Science 2009-10-29 Manqi Zhao , Venkatesh Saligrama

We propose a novel non-parametric adaptive anomaly detection algorithm for high dimensional data based on rank-SVM. Data points are first ranked based on scores derived from nearest neighbor graphs on n-point nominal data. We then train a…

Machine Learning · Statistics 2014-05-06 Jing Qian , Jonathan Root , Venkatesh Saligrama , Yuting Chen

Timely detection of abrupt anomalies is crucial for real-time monitoring and security of modern systems producing high-dimensional data. With this goal, we propose effective and scalable algorithms. Proposed algorithms are nonparametric as…

Machine Learning · Computer Science 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

Anomaly detection aims at identifying images that deviate significantly from the norm. We focus on algorithms that embed the normal training examples in space and when given a test image, detect anomalies based on the features distance to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Ori Nizan , Ayellet Tal

In this paper, a novel framework for anomaly estimation is proposed. The basic idea behind our method is to reduce the data into a two-dimensional space and then rank each data point in the reduced space. We attempt to estimate the degree…

Machine Learning · Computer Science 2021-05-12 Zhongping Ji

We apply several machine learning algorithms to the problem of anomaly detection in operational data for large-scale, high-voltage electric power grids. We observe important differences in the performance of the algorithms. Neural networks…

Systems and Control · Electrical Eng. & Systems 2026-02-12 Marc Gillioz , Guillaume Dubuis , Étienne Voutaz , Philippe Jacquod

Nearest-neighbor (NN) procedures are well studied and widely used in both supervised and unsupervised learning problems. In this paper we are concerned with investigating the performance of NN-based methods for anomaly detection. We first…

Machine Learning · Statistics 2019-07-10 Xiaoyi Gu , Leman Akoglu , Alessandro Rinaldo

Nonparametric learning is a fundamental concept in machine learning that aims to capture complex patterns and relationships in data without making strong assumptions about the underlying data distribution. Owing to simplicity and…

Machine Learning · Computer Science 2024-02-06 Amartya Banerjee , Christopher J. Hazard , Jacob Beel , Cade Mack , Jack Xia , Michael Resnick , Will Goddin

Anomaly detection is an important problem in many application areas, such as network security. Many deep learning methods for unsupervised anomaly detection produce good empirical performance but lack theoretical guarantees. By casting…

Machine Learning · Statistics 2024-09-16 Tian-Yi Zhou , Matthew Lau , Jizhou Chen , Wenke Lee , Xiaoming Huo

Anomalies are strange data points; they usually represent an unusual occurrence. Anomaly detection is presented from the perspective of Wireless sensor networks. Different approaches have been taken in the past, as we will see, not only to…

Machine Learning · Computer Science 2017-08-30 Pelumi Oluwasanya

In anomaly detection, a prominent task is to induce a model to identify anomalies learned solely based on normal data. Generally, one is interested in finding an anomaly detector that correctly identifies anomalies, i.e., data points that…

Machine Learning · Computer Science 2022-11-28 David Schubert , Pritha Gupta , Marcel Wever

We present and analyze an algorithm for estimating the size, under a Gaussian or uniform measure, of a localized neighborhood in neural network parameter space with behavior similar to an ``anchor'' point. We refer to this as the "local…

Machine Learning · Computer Science 2025-04-09 Adam Scherlis , Nora Belrose

This paper presents an anomaly detection model that combines the strong statistical foundation of density-estimation-based anomaly detection methods with the representation-learning ability of deep-learning models. The method combines an…

Machine Learning · Computer Science 2022-11-17 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

In this paper we consider the task of detecting abnormal communication volume occurring at node-level in communication networks. The signal of the communication activity is modeled by means of a clique stream: each occurring communication…

Machine Learning · Computer Science 2019-02-13 Batiste Le Bars , Argyris Kalogeratos

The k-nearest neighbors (kNN) algorithm is a cornerstone of non-parametric classification in artificial intelligence, yet its deployment in large-scale applications is persistently constrained by the computational trade-off between…

Machine Learning · Computer Science 2026-01-26 Jiaye Li , Gang Chen , Hang Xu , Shichao Zhang

We study the optimal design problems where the goal is to choose a set of linear measurements to obtain the most accurate estimate of an unknown vector in $d$ dimensions. We study the $A$-optimal design variant where the objective is to…

Data Structures and Algorithms · Computer Science 2018-07-18 Aleksandar Nikolov , Mohit Singh , Uthaipon Tao Tantipongpipat

Anomaly detection has many important applications, such as monitoring industrial equipment. Despite recent advances in anomaly detection with deep-learning methods, it is unclear how existing solutions would perform under…

Sound · Computer Science 2022-04-06 Bingqing Chen , Luca Bondi , Samarjit Das

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

Anomaly detection in surveillance videos is attracting an increasing amount of attention. Despite the competitive performance of recent methods, they lack theoretical performance analysis, particularly due to the complex deep neural network…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Keval Doshi , Yasin Yilmaz
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