Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis

We devised a data-driven framework for uncovering hidden control strategies used by an evolutionary system described by an evolutionary probability distribution. This innovative framework enables deciphering of the concealed mechanisms that contribute to the progression or mitigation of such situati...

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Main Authors: Nourddine Azzaoui, Tomoko Matsui, Daisuke Murakami
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematical and Computational Applications
Subjects:
Online Access:https://www.mdpi.com/2297-8747/28/5/103
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author Nourddine Azzaoui
Tomoko Matsui
Daisuke Murakami
author_facet Nourddine Azzaoui
Tomoko Matsui
Daisuke Murakami
author_sort Nourddine Azzaoui
collection DOAJ
description We devised a data-driven framework for uncovering hidden control strategies used by an evolutionary system described by an evolutionary probability distribution. This innovative framework enables deciphering of the concealed mechanisms that contribute to the progression or mitigation of such situations as the spread of COVID-19. Novel algorithms are used to estimate the optimal control in tandem with the parameters for evolution in general dynamical systems, thereby extending the concept of model predictive control. This marks a significant departure from conventional control methods, which require knowledge of the system to manipulate its evolution and of the controller’s strategy or parameters. We use a generalized additive model, supplemented by extensive statistical testing, to identify a set of predictor covariates closely linked to the control. Using real-world COVID-19 data, we delineate the descriptive behaviors of the COVID-19 epidemics in five prefectures in Japan and nine countries. We compare these nine countries and group them on the basis of shared profiles, providing valuable insights into their pandemic responses. Our findings underscore the potential of our framework as a powerful tool for understanding and managing complex evolutionary processes.
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spelling doaj.art-d6d12fe9f3ef4ffd95970a45eec192cd2023-11-19T17:15:45ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472023-10-0128510310.3390/mca28050103Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary AnalysisNourddine Azzaoui0Tomoko Matsui1Daisuke Murakami2Laboratoire de Mathématiques Blaise Pascal, University of Clermont Auvergne, CNRS, 63000 Clermont-Ferrand, FranceDepartment of Statistical Modeling, Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa 190-8562, Tokyo, JapanDepartment of Statistical Modeling, Institute of Statistical Mathematics, 10-3 Midori-cho, Tachikawa 190-8562, Tokyo, JapanWe devised a data-driven framework for uncovering hidden control strategies used by an evolutionary system described by an evolutionary probability distribution. This innovative framework enables deciphering of the concealed mechanisms that contribute to the progression or mitigation of such situations as the spread of COVID-19. Novel algorithms are used to estimate the optimal control in tandem with the parameters for evolution in general dynamical systems, thereby extending the concept of model predictive control. This marks a significant departure from conventional control methods, which require knowledge of the system to manipulate its evolution and of the controller’s strategy or parameters. We use a generalized additive model, supplemented by extensive statistical testing, to identify a set of predictor covariates closely linked to the control. Using real-world COVID-19 data, we delineate the descriptive behaviors of the COVID-19 epidemics in five prefectures in Japan and nine countries. We compare these nine countries and group them on the basis of shared profiles, providing valuable insights into their pandemic responses. Our findings underscore the potential of our framework as a powerful tool for understanding and managing complex evolutionary processes.https://www.mdpi.com/2297-8747/28/5/103data-driven optimization algorithmmodel predictive controlevolutionary probability distributiongeneralized additive modelclassificationCOVID-19 evolution
spellingShingle Nourddine Azzaoui
Tomoko Matsui
Daisuke Murakami
Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
Mathematical and Computational Applications
data-driven optimization algorithm
model predictive control
evolutionary probability distribution
generalized additive model
classification
COVID-19 evolution
title Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
title_full Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
title_fullStr Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
title_full_unstemmed Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
title_short Data-Driven Framework for Uncovering Hidden Control Strategies in Evolutionary Analysis
title_sort data driven framework for uncovering hidden control strategies in evolutionary analysis
topic data-driven optimization algorithm
model predictive control
evolutionary probability distribution
generalized additive model
classification
COVID-19 evolution
url https://www.mdpi.com/2297-8747/28/5/103
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