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Related papers: RanBox: Anomaly Detection in the Copula Space

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Bump hunting deals with finding in sample spaces meaningful data subsets known as bumps. These have traditionally been conceived as modal or concave regions in the graph of the underlying density function. We define an abstract bump…

Methodology · Statistics 2024-05-09 José E. Chacón , Javier Fernández Serrano

In the study of high-dimensional data, it is often assumed that the data set possesses an underlying lower-dimensional structure. A practical model for this structure is an embedded compact manifold with boundary. Since the underlying…

Machine Learning · Statistics 2025-08-22 Pei-Cheng Kuo , Nan Wu

Detecting novel anomalies in medical imaging is challenging due to the limited availability of labeled data for rare abnormalities, which often display high variability and subtlety. This challenge is further compounded when small abnormal…

Computer Vision and Pattern Recognition · Computer Science 2025-01-31 Jingkun Chen , Guang Yang , Xiao Zhang , Jingchao Peng , Tianlu Zhang , Jianguo Zhang , Jungong Han , Vicente Grau

We propose a new model-independent method for new physics searches called Cluster Scanning. It uses the k-means algorithm to perform clustering in the space of low-level event or jet observables, and separates potentially anomalous clusters…

High Energy Physics - Phenomenology · Physics 2024-05-22 Ivan Oleksiyuk , John Andrew Raine , Michael Krämer , Svyatoslav Voloshynovskiy , Tobias Golling

Anomaly detection in random fields is an important problem in many applications including the detection of cancerous cells in medicine, obstacles in autonomous driving and cracks in the construction material of buildings. Such anomalies are…

Statistics Theory · Mathematics 2023-11-17 Claudia Kirch , Philipp Klein , Marco Meyer

In this paper, we propose a method for real-time anomaly detection and localization in crowded scenes. Each video is defined as a set of non-overlapping cubic patches, and is described using two local and global descriptors. These…

Computer Vision and Pattern Recognition · Computer Science 2015-11-24 Mohammad Sabokrou , Mahmood Fathy , Mojtaba Hosseini , Reinhard Klette

We present an updated version of lookout -- an algorithm for detecting anomalies using kernel density estimates with bandwidth based on Rips death diameters -- with theoretical guarantees. The kernel density estimator for updated lookout is…

Methodology · Statistics 2026-03-25 Rob J Hyndman , Sevvandi Kandanaarachchi , Katharine Turner

Surface anomaly classification is critical for manufacturing system fault diagnosis and quality control. However, the following challenges always hinder accurate anomaly classification in practice: (i) Anomaly patterns exhibit intra-class…

Machine Learning · Statistics 2025-02-18 Xuanming Cao , Chengyu Tao , Juan Du

Approximating non-linear kernels using feature maps has gained a lot of interest in recent years due to applications in reducing training and testing times of SVM classifiers and other kernel based learning algorithms. We extend this line…

Machine Learning · Computer Science 2015-03-20 Purushottam Kar , Harish Karnick

Deep learning models are used in safety-critical tasks such as automated driving and face recognition. However, small perturbations in the model input can significantly change the predictions. Adversarial attacks are used to identify small…

Cryptography and Security · Computer Science 2025-12-03 Issa Oe , Keiichiro Yamamura , Hiroki Ishikura , Ryo Hamahira , Katsuki Fujisawa

We propose reinterpreting copula density estimation as a discriminative task. Under this novel estimation scheme, we train a classifier to distinguish samples from the joint density from those of the product of independent marginals,…

Methodology · Statistics 2025-03-20 David Huk , Mark Steel , Ritabrata Dutta

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

Automatic detection of visual anomalies and changes in the environment has been a topic of recurrent attention in the fields of machine learning and computer vision over the past decades. A visual anomaly or change detection algorithm…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Sahar Salimpour , Jorge Peña Queralta , Tomi Westerlund

This paper studies the classical problem of detecting the locations of signal occurrences in a one-dimensional noisy measurement. Assuming the signal occurrences do not overlap, we formulate the detection task as a constrained likelihood…

Signal Processing · Electrical Eng. & Systems 2023-02-20 Mordechai Roth , Amichai Painsky , Tamir Bendory

Physics beyond the Standard Model that is resonant in one or more dimensions has been a longstanding focus of countless searches at colliders and beyond. Recently, many new strategies for resonant anomaly detection have been developed,…

High Energy Physics - Phenomenology · Physics 2024-03-18 Erik Buhmann , Cedric Ewen , Gregor Kasieczka , Vinicius Mikuni , Benjamin Nachman , David Shih

Anomaly detection is a complex problem due to the ambiguity in defining anomalies, the diversity of anomaly types (e.g., local and global defect), and the scarcity of training data. As such, it necessitates a comprehensive model capable of…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Byeongchan Lee , John Won , Seunghyun Lee , Jinwoo Shin

We consider the problem of testing hypotheses on the copula density from $n$ bi-dimensional observations. We wish to test the null hypothesis characterized by a parametric class against a composite nonparametric alternative. Each density…

Statistics Theory · Mathematics 2009-03-02 Ghislaine Gayraud , Karine Tribouley

Anomaly detection and localization in images is a growing field in computer vision. In this area, a seemingly understudied problem is anomaly clustering, i.e., identifying and grouping different types of anomalies in a fully unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2024-04-19 Andrei-Timotei Ardelean , Tim Weyrich

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

Machine Learning · Computer Science 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

Hyperspectral anomaly detection (HAD), a crucial approach for many civilian and military applications, seeks to identify pixels with spectral signatures that are anomalous relative to a preponderance of background signatures. Significant…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Abu Hasnat Mohammad Rubaiyat , Jordan Vincent , Colin Olson