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We propose a new approach, the calibrated nonparametric scan statistic (CNSS), for more accurate detection of anomalous patterns in large-scale, real-world graphs. Scan statistics identify connected subgraphs that are interesting or…

Methodology · Statistics 2022-06-28 Chunpai Wang , Daniel B. Neill , Feng Chen

Effective monitoring of manufacturing processes is crucial for maintaining product quality and operational efficiency. Modern manufacturing environments generate vast amounts of multimodal data, including visual imagery from various…

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

Univariate and multivariate normal probability distributions are widely used when modeling decisions under uncertainty. Computing the performance of such models requires integrating these distributions over specific domains, which can vary…

Machine Learning · Statistics 2024-07-31 Abhranil Das , Wilson S Geisler

The evolving landscape of electric power networks, influenced by the integration of distributed energy resources require the development of novel power system monitoring and control architectures. This paper develops algorithm to monitor…

Systems and Control · Electrical Eng. & Systems 2024-12-05 Erfan Mehdipour Abadi , Masoud H. Nazari

We study the problem of parameter estimation for time-series possessing two, widely separated, characteristic time scales. The aim is to understand situations where it is desirable to fit a homogenized singlescale model to such multiscale…

Statistics Theory · Mathematics 2009-11-11 G. A. Pavliotis , A. M. Stuart

This paper details how to parameterize the posterior distribution of state-space systems to generate improved optimization problems for system identification using variational inference. Three different parameterizations of the assumed…

Applications · Statistics 2025-01-15 Dimas Abreu Archanjo Dutra

Diffusion models have emerged as a powerful foundation model for visual generations. With an appropriate sampling process, it can effectively serve as a generative prior for solving general inverse problems. Current posterior sampling-based…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Shijie Zhou , Huaisheng Zhu , Rohan Sharma , Jiayi Chen , Ruiyi Zhang , Kaiyi Ji , Changyou Chen

We consider inference for a collection of partially observed, stochastic, interacting, nonlinear dynamic processes. Each process is identified with a label called its unit, and our primary motivation arises in biological metapopulation…

Methodology · Statistics 2022-12-20 Edward L. Ionides , Ning Ning , Jesse Wheeler

Anomaly detection is concerned with identifying data patterns that deviate remarkably from the expected behaviour. This is an important research problem, due to its broad set of application domains, from data analysis to e-health,…

Machine Learning · Computer Science 2021-08-23 L. Erhan , M. Ndubuaku , M. Di Mauro , W. Song , M. Chen , G. Fortino , O. Bagdasar , A. Liotta

Data scarcity hinders deep learning for medical imaging. We propose a framework for breast cancer classification in thermograms that addresses this using a Diffusion Probabilistic Model (DPM) for data augmentation. Our DPM-based…

Computer Vision and Pattern Recognition · Computer Science 2025-09-10 Sepehr Salem , M. Moein Esfahani , Jingyu Liu , Vince Calhoun

Suppose that local characteristics of several independent compound Poisson and Wiener processes change suddenly and simultaneously at some unobservable disorder time. The problem is to detect the disorder time as quickly as possible after…

Statistics Theory · Mathematics 2008-04-01 Savas Dayanik , H. Vincent Poor , Semih O. Sezer

We introduce a new method for the estimation of the angular parameters [i.e., central directions of arrival (DOAs) and angular spreads] of multiple non-circular and incoherently-distributed (ID) sources and thoroughly analyze its…

Signal Processing · Electrical Eng. & Systems 2019-01-07 Sonia Ben Hassen , Faouzi Bellili , Abdelaziz Samet , Sofiène Affes

Stochastic motion of particles in a highly unstable potential generates a number of diverging trajectories leading to undefined statistical moments of the particle position. This makes experiments challenging and breaks down a standard…

The recent introduction of synchrophasor technology into power distribution systems has given impetus to various monitoring, diagnostic, and control applications, such as system identification and event detection, which are crucial for…

Systems and Control · Computer Science 2020-09-17 Omid Ardakanian , Ye Yuan , Roel Dobbe , Alexandra von Meier , Steven Low , Claire Tomlin

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

Within the calibration of material models, often the numerical results of a simulation model $y$ are compared with the experimental measurements $y^*$. Usually, the differences between measurements and simulation are minimized using least…

Materials Science · Physics 2024-08-14 Thomas Most

Unsupervised anomalous sound detection aims to detect unknown abnormal sounds of machines from normal sounds. However, the state-of-the-art approaches are not always stable and perform dramatically differently even for machines of the same…

Sound · Computer Science 2022-05-02 Youde Liu , Jian Guan , Qiaoxi Zhu , Wenwu Wang

Knowledge of exact analytical functional forms for the pair correlation function $g_2(r)$ and its corresponding structure factor $S(k)$ of disordered many-particle systems is limited. For fundamental and practical reasons, it is highly…

Soft Condensed Matter · Physics 2024-01-02 Haina Wang , Salvatore Torquato

Accurately capturing the full-range response of structures is crucial in structural health monitoring (SHM) for ensuring safety and operational integrity. However, limited sensor deployment due to cost, accessibility, or scale often hinders…

Computational Engineering, Finance, and Science · Computer Science 2025-09-25 Wingho Feng , Quanwang Li , Chen Wang , Jian-sheng Fan
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