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Explicit finite-sample statistical guarantees on model performance are an important ingredient in responsible machine learning. Previous work has focused mainly on bounding either the expected loss of a predictor or the probability that an…

Machine Learning · Computer Science 2024-03-07 Zhun Deng , Thomas P. Zollo , Jake C. Snell , Toniann Pitassi , Richard Zemel

Several methods are available in the literature to stochastically compare random variables and random vectors. We introduce the notion of asymptotic stochastic order for random processes and define four such orders. Various properties and…

Probability · Mathematics 2021-03-03 Sugata Ghosh , Asok K. Nanda

Several measures of non-convexity (departures from convexity) have been introduced in the literature, both for sets and functions. Some of them are of geometric nature, while others are more of topological nature. We address the statistical…

Statistics Theory · Mathematics 2022-11-23 Alejandro Cholaquidis , Ricardo Fraiman , Leonardo Moreno , Beatriz Pateiro-López

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Software product quality can be defined as the features and characteristics of the product that meet the user needs. The quality of any software can be achieved by following a well defined software process. These software process results…

Software Engineering · Computer Science 2018-02-19 Karuna Prasad , MG Divya , N Mangala

Many multivariate statistical analysis methods and their corresponding probabilistic counterparts have been adopted to develop process monitoring models in recent decades. However, the insightful connections between them have rarely been…

Systems and Control · Electrical Eng. & Systems 2022-06-28 Wanke Yu , Min Wu , Biao Huang , Chengda Lu

Statistical analysis is an important tool to distinguish systematic from chance findings. Current statistical analyses rely on distributional assumptions reflecting the structure of some underlying model, which if not met lead to problems…

Statistics Theory · Mathematics 2023-11-15 Orestis Loukas , Ho Ryun Chung

Increasing penetration of renewable energy introduces significant uncertainty into power systems. Traditional simulation-based verification methods may not be applicable due to the unknown-but-bounded feature of the uncertainty sets.…

Systems and Control · Electrical Eng. & Systems 2020-02-25 Yichen Zhang , Yan Li , Kevin Tomsovic , Seddik Djouadi , Meng Yue

Process Control Systems (PCSs) are the operating core of Critical Infrastructures (CIs). As such, anomaly detection has been an active research field to ensure CI normal operation. Previous approaches have leveraged network level data for…

Cryptography and Security · Computer Science 2017-06-07 Mikel Iturbe , José Camacho , Iñaki Garitano , Urko Zurutuza , Roberto Uribeetxeberria

Monitoring the quality of statistical processes has been of great importance, mostly in industrial applications. Control charts are widely used for this purpose, but often lack the possibility to monitor survival outcomes. Recently,…

Applications · Statistics 2024-06-19 Daniel Gomon , Marta Fiocco , Hein Putter , Mirko Signorelli

We propose a new unsupervised and non-parametric method to detect change points in intricate quasi-periodic signals. The detection relies on optimal transport theory combined with topological analysis and the bootstrap procedure. The…

Machine Learning · Computer Science 2022-11-15 Nikolay Shvetsov , Nazar Buzun , Dmitry V. Dylov

Global monitoring statistics play an important role for developing efficient monitoring schemes for high-dimensional data streams. A number of global monitoring statistics have been proposed in the literature. However, most of them only…

Methodology · Statistics 2017-12-19 Jun Li

Image processing has always been a topic of significant importance to society. Recently, this field has gained considerable prominence due to the development of intelligent systems. In this work, we present a new method of image processing…

Data Analysis, Statistics and Probability · Physics 2024-12-25 Monalisa Cavalcante , José Araújo , José Holanda

In tackling frequent batch anomalies in high-speed stamping processes, this study introduces a novel semi-supervised in-process anomaly monitoring framework, utilizing accelerometer signals and physics information, to capture the process…

Machine Learning · Computer Science 2025-05-12 Jianyu Zhang

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

Most statistical process monitoring methods for multichannel profiles focus solely on the mean and are almost ineffective when changes involve the covariance structure. Although it is known to be crucial, covariance monitoring requires…

Methodology · Statistics 2026-03-06 Christian Capezza , Davide Forcina , Antonio Lepore , Biagio Palumbo

Since high data volume and complex data formats delivered in modern high-end production environments go beyond the scope of classical process control systems, more advanced tools involving machine learning are required to reliably recognize…

Machine Learning · Computer Science 2022-04-04 Stefan Schrunner , Michael Scheiber , Anna Jenul , Anja Zernig , Andre Kästner , Roman Kern

This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supposed unknown. The chart analyses the…

Applications · Statistics 2015-07-01 Pasquale Erto

Technological advancements in miniaturization and wireless communications are yielding more affordable and versatile sensors and, in turn, more applications in which a network of sensors can be actively managed to best support overall…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Patrick Kreidl

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey
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