Cross-Entropy Method in Application to the SIRC Model
The study considers the usage of a probabilistic optimization method called Cross-Entropy (CE). This is the version of the Monte Carlo method created by Reuven Rubinstein (1997). It was developed in the context of determining rare events. Here we will present the way in which the CE method can be us...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Algorithms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1999-4893/13/11/281 |
| _version_ | 1797548616792932352 |
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| author | Maria Katarzyna Stachowiak Krzysztof Józef Szajowski |
| author_facet | Maria Katarzyna Stachowiak Krzysztof Józef Szajowski |
| author_sort | Maria Katarzyna Stachowiak |
| collection | DOAJ |
| description | The study considers the usage of a probabilistic optimization method called Cross-Entropy (CE). This is the version of the Monte Carlo method created by Reuven Rubinstein (1997). It was developed in the context of determining rare events. Here we will present the way in which the CE method can be used for problems of optimization of epidemiological models, and more specifically the optimization of the Susceptible–Infectious–Recovered–Cross-immune (SIRC) model based on the functions supervising the care of specific groups in the model. With the help of weighted sampling, an attempt was made to find the fastest and most accurate version of the algorithm. |
| first_indexed | 2024-03-10T15:02:11Z |
| format | Article |
| id | doaj.art-755956bb5e5c493a8a0b062beda8ad6f |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-03-10T15:02:11Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-755956bb5e5c493a8a0b062beda8ad6f2023-11-20T20:03:25ZengMDPI AGAlgorithms1999-48932020-11-01131128110.3390/a13110281Cross-Entropy Method in Application to the SIRC ModelMaria Katarzyna Stachowiak0Krzysztof Józef Szajowski1Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandFaculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandThe study considers the usage of a probabilistic optimization method called Cross-Entropy (CE). This is the version of the Monte Carlo method created by Reuven Rubinstein (1997). It was developed in the context of determining rare events. Here we will present the way in which the CE method can be used for problems of optimization of epidemiological models, and more specifically the optimization of the Susceptible–Infectious–Recovered–Cross-immune (SIRC) model based on the functions supervising the care of specific groups in the model. With the help of weighted sampling, an attempt was made to find the fastest and most accurate version of the algorithm.https://www.mdpi.com/1999-4893/13/11/281optimal stoppingcounting processcross-entropy methodepidemiological modelsSIR and SIRC modelscross-immunity and boosting |
| spellingShingle | Maria Katarzyna Stachowiak Krzysztof Józef Szajowski Cross-Entropy Method in Application to the SIRC Model Algorithms optimal stopping counting process cross-entropy method epidemiological models SIR and SIRC models cross-immunity and boosting |
| title | Cross-Entropy Method in Application to the SIRC Model |
| title_full | Cross-Entropy Method in Application to the SIRC Model |
| title_fullStr | Cross-Entropy Method in Application to the SIRC Model |
| title_full_unstemmed | Cross-Entropy Method in Application to the SIRC Model |
| title_short | Cross-Entropy Method in Application to the SIRC Model |
| title_sort | cross entropy method in application to the sirc model |
| topic | optimal stopping counting process cross-entropy method epidemiological models SIR and SIRC models cross-immunity and boosting |
| url | https://www.mdpi.com/1999-4893/13/11/281 |
| work_keys_str_mv | AT mariakatarzynastachowiak crossentropymethodinapplicationtothesircmodel AT krzysztofjozefszajowski crossentropymethodinapplicationtothesircmodel |