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In this work, we present an adjoint-based method for discovering the underlying governing partial differential equations (PDEs) given data. The idea is to consider a parameterized PDE in a general form and formulate a PDE-constrained…

Optimization and Control · Mathematics 2025-09-23 Mohsen Sadr , Tony Tohme , Kamal Youcef-Toumi

Anomaly detection is the practice of identifying items or events that do not conform to an expected behavior or do not correlate with other items in a dataset. It has previously been applied to areas such as intrusion detection, system…

Networking and Internet Architecture · Computer Science 2018-01-31 James Zhang , Ilija Vukotic , Robert Gardner

In the recent times, autoencoders, besides being used for compression, have been proven quite useful even for regenerating similar images or help in image denoising. They have also been explored for anomaly detection in a few cases.…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Shruti Mittal , Dattaraj Rao

Detection of anomalies among a large number of processes is a fundamental task that has been studied in multiple research areas, with diverse applications spanning from spectrum access to cyber-security. Anomalous events are characterized…

Information Theory · Computer Science 2022-08-12 Benjamin Wolff , Tomer Gafni , Guy Revach , Nir Shlezinger , Kobi Cohen

Unsupervised anomaly detection stands as an important problem in machine learning, with applications in financial fraud prevention, network security and medical diagnostics. Existing unsupervised anomaly detection algorithms rarely perform…

Machine Learning · Computer Science 2026-02-04 Pritam Kar , Rahul Bordoloi , Olaf Wolkenhauer , Saptarshi Bej

Often logs hosted in large data centers represent network traffic data over a long period of time. For instance, such network traffic data logged via a TCP dump packet sniffer (as considered in the 1998 DARPA intrusion attack) included…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-07 Prateek Chanda , Malay Bhattacharya

Anomaly detection is a crucial task in complex distributed systems. A thorough understanding of the requirements and challenges of anomaly detection is pivotal to the security of such systems, especially for real-world deployment. While…

Anomaly detection of sequences is a hot topic in data mining. Anomaly Detection using Piecewise Aggregate approximation in the Amplitude Domain (called ADPAAD) is one of the widely used methods in anomaly detection of sequences. The core…

Quantum Physics · Physics 2022-09-22 Ming-Chao Guo , Hai-Ling Liu , Shi-Jie Pan , Wen-Min Li , Su-Juan Qin , Xin-Yi Huang , Fei Gao , Qiao-Yan Wen

We propose a novel statistical method for testing the results of anomaly detection (AD) under domain adaptation (DA), which we call CAD-DA -- controllable AD under DA. The distinct advantage of the CAD-DA lies in its ability to control the…

Machine Learning · Statistics 2023-10-24 Vo Nguyen Le Duy , Hsuan-Tien Lin , Ichiro Takeuchi

The Automatic Dependent Surveillance Broadcast protocol is one of the latest compulsory advances in air surveillance. While it supports the tracking of the ever-growing number of aircraft in the air, it also introduces cybersecurity issues…

Machine Learning · Computer Science 2022-03-23 Antoine Chevrot , Alexandre Vernotte , Bruno Legeard

Detecting unusual patterns in graph data is a crucial task in data mining. However, existing methods face challenges in consistently achieving satisfactory performance and often lack interpretability, which hinders our understanding of…

Machine Learning · Computer Science 2024-06-28 Yifei Yang , Peng Wang , Xiaofan He , Dongmian Zou

Anomaly detection suffered from the lack of anomalies due to the diversity of abnormalities and the difficulties of obtaining large-scale anomaly data. Semi-supervised anomaly detection methods are often used to solely leverage normal data…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Jian Shi , Ni Zhang

Manifold-learning techniques are routinely used in mining complex spatiotemporal data to extract useful, parsimonious data representations/parametrizations; these are, in turn, useful in nonlinear model identification tasks. We focus here…

The sophistication and diversity of contemporary cyberattacks have rendered the use of proxies, gateways, firewalls, and encrypted tunnels as a standalone defensive strategy inadequate. Consequently, the proactive identification of data…

Machine Learning · Computer Science 2024-09-24 Liyang Wang , Yu Cheng , Hao Gong , Jiacheng Hu , Xirui Tang , Iris Li

Many problems on data streams have been studied at two extremes of difficulty: either allowing randomized algorithms, in the static setting (where they should err with bounded probability on the worst case stream); or when only…

Data Structures and Algorithms · Computer Science 2022-11-11 Manuel Stoeckl

Benchmarking anomaly detection approaches for multivariate time series is a challenging task due to a lack of high-quality datasets. Current publicly available datasets are too small, not diverse and feature trivial anomalies, which hinders…

Machine Learning · Computer Science 2025-11-13 Lucas Correia , Jan-Christoph Goos , Thomas Bäck , Anna V. Kononova

We investigate high-order finite difference schemes for the Hamilton-Jacobi equation continuum limit of nondominated sorting. Nondominated sorting is an algorithm for sorting points in Euclidean space into layers by repeatedly removing…

Numerical Analysis · Mathematics 2017-12-06 Warut Thawinrak , Jeff Calder

Performing anomaly detection in hybrid systems is a challenging task since it requires analysis of timing behavior and mutual dependencies of both discrete and continuous signals. Typically, it requires modeling system behavior, which is…

Machine Learning · Computer Science 2020-10-30 Nemanja Hranisavljevic , Oliver Niggemann , Alexander Maier

Finding anomalous subsequence in a long time series is a very important but difficult problem. Existing state-of-the-art methods have been focusing on searching for the subsequence that is the most dissimilar to the rest of the…

Machine Learning · Computer Science 2020-02-18 Li Zhang , Yifeng Gao , Jessica Lin

This paper addresses the increasingly prominent problem of anomaly detection in distributed systems. It proposes a detection method based on federated contrastive learning. The goal is to overcome the limitations of traditional centralized…

Machine Learning · Computer Science 2025-06-25 Renzi Meng , Heyi Wang , Yumeng Sun , Qiyuan Wu , Lian Lian , Renhan Zhang