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This paper studies the asymptotic properties of and alternative inference methods for kernel density estimation (KDE) for dyadic data. We first establish uniform convergence rates for dyadic KDE. Secondly, we propose a modified jackknife…

Econometrics · Economics 2022-05-16 Harold D. Chiang , Bing Yang Tan

Fine-grained anomaly detection has recently been dominated by segmentation based approaches. These approaches first classify each element of the sample (e.g., image patch) as normal or anomalous and then classify the entire sample as…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Niv Cohen , Issar Tzachor , Yedid Hoshen

This paper introduces a novel kernel density estimator (KDE) based on the generalised exponential (GE) distribution, designed specifically for positive continuous data. The proposed GE KDE offers a mathematically tractable form that avoids…

Methodology · Statistics 2026-02-18 Laura M. Craig , Wagner Barreto-Souza

In this paper, we propose the Adversarial Denoising Diffusion Model (ADDM). The ADDM is based on the Denoising Diffusion Probabilistic Model (DDPM) but complementarily trained by adversarial learning. The proposed adversarial learning is…

Image and Video Processing · Electrical Eng. & Systems 2023-12-08 Jongmin Yu , Hyeontaek Oh , Jinhong Yang

At the ATLAS and CMS experiments at CERN's Large Hadron Collider, the rate of proton-proton collisions far exceeds the rate at which data can be recorded. A real-time event selection process, or "trigger", is needed to ensure that the data…

High Energy Physics - Experiment · Physics 2025-09-10 Noah Clarke Hall , Nikolaos Konstantinidis

The paper explores the industrial multimodal Anomaly Detection (AD) task, which exploits point clouds and RGB images to localize anomalies. We introduce a novel light and fast framework that learns to map features from one modality to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Alex Costanzino , Pierluigi Zama Ramirez , Giuseppe Lisanti , Luigi Di Stefano

In this paper we develop a kernel density estimation (KDE) approach to modeling and forecasting recurrent trajectories on a compact manifold. For the purposes of this paper, a trajectory is a sequence of coordinates in a phase space defined…

Machine Learning · Computer Science 2019-11-06 Trevor K. Karn , Steven Petrone , Christopher Griffin

Anomaly detection is critical for the secure and reliable operation of industrial control systems. As our reliance on such complex cyber-physical systems grows, it becomes paramount to have automated methods for detecting anomalies,…

Machine Learning · Computer Science 2024-05-10 Mayra Macas , Chunming Wu , Walter Fuertes

Kernel density estimation on a finite interval poses an outstanding challenge because of the well-recognized bias at the boundaries of the interval. Motivated by an application in cancer research, we consider a boundary constraint linking…

Statistics Theory · Mathematics 2020-12-01 Matthew J. Colbrook , Zdravko I. Botev , Karsten Kuritz , Shev MacNamara

Anomaly detection in medical imaging is to distinguish the relevant biomarkers of diseases from those of normal tissues. Deep supervised learning methods have shown potentials in various detection tasks, but its performances would be…

Image and Video Processing · Electrical Eng. & Systems 2021-12-01 Byungjai Kim , Kinam Kwon , Changheun Oh , Hyunwook Park

Anomaly detection is a crucial task in machine learning that involves identifying unusual patterns or events in data. It has numerous applications in various domains such as finance, healthcare, and cybersecurity. With the advent of quantum…

Quantum Physics · Physics 2023-11-07 Julien Mellaerts

Due to the growing amount of data from in-situ sensors in wastewater systems, it becomes necessary to automatically identify abnormal behaviours and ensure high data quality. This paper proposes an anomaly detection method based on a deep…

Signal Processing · Electrical Eng. & Systems 2020-03-09 Stefania Russo , Andy Disch , Frank Blumensaat , Kris Villez

Detecting maximal square submatrices of ones in binary matrices is a fundamental problem with applications in computer vision and pattern recognition. While the standard dynamic programming (DP) solution achieves optimal asymptotic…

Data Structures and Algorithms · Computer Science 2025-07-22 Swastik Bhandari

The detection and the quantification of anomalies in image data are critical tasks in industrial scenes such as detecting micro scratches on product. In recent years, due to the difficulty of defining anomalies and the limit of correcting…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Masanari Kimura , Takashi Yanagihara

In an era where data underpins decision-making across science, politics, and economics, ensuring high data quality is of paramount importance. Conventional computing algorithms for enhancing data quality, including anomaly detection, demand…

Quantum Physics · Physics 2025-12-02 Sven Groppe , Valter Uotila , Jinghua Groppe

Anomaly detection, or outlier detection, is a crucial task in various domains to identify instances that significantly deviate from established patterns or the majority of data. In the context of autonomous driving, the identification of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Martin Bikandi , Gorka Velez , Naiara Aginako , Itziar Irigoien

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

Unsupervised anomaly detection aims to identify anomalous samples from highly complex and unstructured data, which is pervasive in both fundamental research and industrial applications. However, most existing methods neglect the complex…

Machine Learning · Computer Science 2020-10-20 Haoyi Fan , Fengbin Zhang , Ruidong Wang , Liang Xi , Zuoyong Li

Anomaly detection is a critical task that involves the identification of data points that deviate from a predefined pattern, useful for fraud detection and related activities. Various techniques are employed for anomaly detection, but…

Machine Learning · Computer Science 2023-10-03 Marcellin Atemkeng , Toheeb Aduramomi Jimoh

In the recent years, researchers proposed a number of successful methods to perform out-of-distribution (OOD) detection in deep neural networks (DNNs). So far the scope of the highly accurate methods has been limited to image level…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Ertunc Erdil , Krishna Chaitanya , Neerav Karani , Ender Konukoglu
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