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We propose a novel approach to anomaly detection called Curvature Anomaly Detection (CAD) and Kernel CAD based on the idea of polyhedron curvature. Using the nearest neighbors for a point, we consider every data point as the vertex of a…

Machine Learning · Computer Science 2020-05-14 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

In point-based sensing systems such as coordinate measuring machines (CMM) and laser ultrasonics where complete sensing is impractical due to the high sensing time and cost, adaptive sensing through a systematic exploration is vital for…

Machine Learning · Statistics 2019-10-08 Hao Yan , Kamran Paynabar , Jianjun Shi

The accurate detection of small deviations in given density matrices is important for quantum information processing. Here we propose a new method based on the concept of data mining. We demonstrate that the proposed method can more…

Quantum Physics · Physics 2015-06-18 Satoshi Hara , Takafumi Ono , Ryo Okamoto , Takashi Washio , Shigeki Takeuchi

Quantum-inspired tensor networks algorithms have shown to be effective and efficient models for machine learning tasks, including anomaly detection. Here, we propose a highly parallelizable quantum-inspired approach which we call SMT-AD…

Machine Learning · Computer Science 2026-04-09 Apimuk Sornsaeng , Si Min Chan , Wenxuan Zhang , Swee Liang Wong , Joshua Lim , Dario Poletti

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

Anomaly detection plays a crucial role in industrial settings, particularly in maintaining the reliability and optimal performance of cooling systems. Traditional anomaly detection methods often face challenges in handling diverse data…

Machine Learning · Computer Science 2024-04-26 Sarala Naidu , Ning Xiong

We propose a novel approach to video anomaly detection: we treat feature vectors extracted from videos as realizations of a random variable with a fixed distribution and model this distribution with a neural network. This lets us estimate…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Jakub Micorek , Horst Possegger , Dominik Narnhofer , Horst Bischof , Mateusz Kozinski

Machine learning models are increasingly used to predict material properties and accelerate atomistic simulations, but the reliability of their predictions depends on the representativeness of the training data. We present a scalable,…

Chemical Physics · Physics 2025-10-20 Daniel Willimetz , Lukáš Grajciar

We leverage recent breakthroughs in neural density estimation to propose a new unsupervised anomaly detection technique (ANODE). By estimating the probability density of the data in a signal region and in sidebands, and interpolating the…

High Energy Physics - Phenomenology · Physics 2020-05-12 Benjamin Nachman , David Shih

We propose a modified density estimation problem that is highly effective for detecting anomalies in tabular data. Our approach assumes that the density function is relatively stable (with lower variance) around normal samples. We have…

Machine Learning · Computer Science 2024-05-09 Amit Rozner , Barak Battash , Henry Li , Lior Wolf , Ofir Lindenbaum

Anomaly detection is a fundamental task in machine learning and data mining, with significant applications in cybersecurity, industrial fault diagnosis, and clinical disease monitoring. Traditional methods, such as statistical modeling and…

Machine Learning · Computer Science 2025-05-09 Yi Chen

A density matrix describes the statistical state of a quantum system. It is a powerful formalism to represent both the quantum and classical uncertainty of quantum systems and to express different statistical operations such as measurement,…

Machine Learning · Computer Science 2024-05-01 Fabio A. González , Alejandro Gallego , Santiago Toledo-Cortés , Vladimir Vargas-Calderón

A robust and efficient anomaly detection technique is proposed, capable of dealing with crowded scenes where traditional tracking based approaches tend to fail. Initial foreground segmentation of the input frames confines the analysis to…

Computer Vision and Pattern Recognition · Computer Science 2013-04-04 Vikas Reddy , Conrad Sanderson , Brian C. Lovell

Anomaly detection in medical imaging is essential for identifying rare pathological conditions, particularly when annotated abnormal samples are limited. We propose a hybrid anomaly detection framework that integrates self-supervised…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Pritam Kar , Gouri Lakshmi S , Saptarshi Bej

This paper studies the use of kernel density estimation (KDE) for linear algebraic tasks involving the kernel matrix of a collection of $n$ data points in $\mathbb R^d$. In particular, we improve upon existing algorithms for computing the…

Data Structures and Algorithms · Computer Science 2026-03-05 Rikhav Shah , Sandeep Silwal , Haike Xu

This paper presents a fast and principled approach for solving the visual anomaly detection and segmentation problem. In this setup, we have access to only anomaly-free training data and want to detect and identify anomalies of an arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Ibrahima Ndiour , Nilesh Ahuja , Utku Genc , Omesh Tickoo

We introduce a new nonparametric density estimator inspired by Markov Chains, and generalizing the well-known Kernel Density Estimator (KDE). Our estimator presents several benefits with respect to the usual ones and can be used…

Methodology · Statistics 2020-09-15 Andrea De Simone , Alessandro Morandini

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

We develop quantum protocols for anomaly detection and apply them to the task of credit card fraud detection (FD). First, we establish classical benchmarks based on supervised and unsupervised machine learning methods, where average…

Quantum Physics · Physics 2022-08-03 Oleksandr Kyriienko , Einar B. Magnusson

Anomalies (unusual patterns) in time-series data give essential, and often actionable information in critical situations. Examples can be found in such fields as healthcare, intrusion detection, finance, security and flight safety. In this…

Applications · Statistics 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev