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When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

The development of an algorithm with related mathematical concepts and supporting hypothesis for detecting changes in system dynamics from time series along with empirical analysis and theoretical justification is presented. For the method,…

Signal Processing · Electrical Eng. & Systems 2020-06-30 Ferdaus Kawsar , Mohammad Adibuzzaman

Predictive process monitoring is concerned with the analysis of events produced during the execution of a business process in order to predict as early as possible the final outcome of an ongoing case. Traditionally, predictive process…

Machine Learning · Computer Science 2018-10-24 Irene Teinemaa , Marlon Dumas , Anna Leontjeva , Fabrizio Maria Maggi

Process curves are multivariate finite time series data coming from manufacturing processes. This paper studies machine learning that detect drifts in process curve datasets. A theoretic framework to synthetically generate process curves in…

Machine Learning · Statistics 2024-12-06 Edgar Wolf , Tobias Windisch

We present a tool-based approach for the runtime analysis of communicating processes grounded on probabilistic binary session types. We synthesise a monitor out of a probabilistic session type where each choice point is decorated by a…

Programming Languages · Computer Science 2021-07-20 Christian Bartolo Burlò , Adrian Francalanza , Alceste Scalas , Catia Trubiani , Emilio Tuosto

To get a good understanding of a dynamical system, it is convenient to have an interpretable and versatile model of it. Timed discrete event systems are a kind of model that respond to these requirements. However, such models can be…

Artificial Intelligence · Computer Science 2023-06-21 Lénaïg Cornanguer , Christine Largouët , Laurence Rozé , Alexandre Termier

Business processes are prone to unexpected changes, as process workers may suddenly or gradually start executing a process differently in order to adjust to changes in workload, season, or other external factors. Early detection of business…

Artificial Intelligence · Computer Science 2020-05-11 Abderrahmane Maaradji , Marlon Dumas , Marcello La Rosa , Alireza Ostovar

Markov chains are simple yet powerful mathematical structures to model temporally dependent processes. They generally assume stationary data, i.e., fixed transition probabilities between observations/states. However, live, real-world…

Machine Learning · Computer Science 2024-11-27 Kutalmış Coşkun , Borahan Tümer , Bjarne C. Hiller , Martin Becker

The paper deals with disorders detection in the multivariate stochastic process. We consider the multidimensional Poisson process or the multivariate renewal process. This class of processes can be used as a description of the distributed…

Optimization and Control · Mathematics 2021-01-12 Krzysztof J. Szajowski

In many applications it is of interest to identify anomalous behavior within a dynamic interacting system. Such anomalous interactions are reflected by structural changes in the network representation of the system. We propose and…

Methodology · Statistics 2016-12-01 James D. Wilson , Nathaniel T. Stevens , William H. Woodall

Predictive Process Monitoring aims to forecast the future progress of process instances using historical event data. As predictive process monitoring is increasingly applied in online settings to enable timely interventions, evaluating the…

Machine Learning · Computer Science 2023-10-16 Suhwan Lee , Marco Comuzzi , Xixi Lu , Hajo A. Reijers

Process discovery is a family of techniques that helps to comprehend processes from their data footprints. Yet, as processes change over time so should their corresponding models, and failure to do so will lead to models that under- or…

Artificial Intelligence · Computer Science 2022-08-11 Andrea Burattin , Hugo A. López , Lasse Starklit

Many systems exhibit complex temporal dynamics due to the presence of different processes taking place simultaneously. An important task in such systems is to extract a simplified view of their time-dependent network of interactions.…

Physics and Society · Physics 2022-05-23 Alexandre Bovet , Jean-Charles Delvenne , Renaud Lambiotte

To maintain the desired quality of a product or service it is necessary to monitor the process that results in the product or service. This monitoring method is called Statistical Process Management, or Statistical Process Control. It is in…

Methodology · Statistics 2019-01-15 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

Runtime Monitoring is a lightweight and dynamic verification technique that involves observing the internal operations of a software system and/or its interactions with other external entities, with the aim of determining whether the system…

Logic in Computer Science · Computer Science 2017-08-25 Ian Cassar , Adrian Francalanza , Luca Aceto , Anna Ingólfsdóttir

In formal verification, runtime monitoring consists of observing the execution of a system in order to decide as quickly as possible whether or not it satisfies a given property. We consider monitoring in a distributed setting, for…

Software Engineering · Computer Science 2024-10-02 Léo Henry , Thierry Jéron , Nicolas Markey , Victor Roussanaly

Many temporal networks exhibit multiple system states, such as weekday and weekend patterns in social contact networks. The detection of such distinct states in temporal network data has recently been explored as it helps reveal underlying…

Social and Information Networks · Computer Science 2020-08-20 Shun Cao , Hiroki Sayama

Many time-evolving systems in nature, society and technology leave traces of the interactions within them. These interactions form temporal networks that reflect the states of the systems. In this work, we pursue a coarse-grained…

Social and Information Networks · Computer Science 2019-02-07 Naoki Masuda , Petter Holme

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

Applications · Statistics 2016-09-27 Alexey Artemov , Evgeny Burnaev

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

Methodology · Statistics 2026-04-07 Yiming Xing , Georgios Fellouris