Ghost hunting in the nonlinear dynamic machine.
Integrating dynamic systems modeling and machine learning generates an exploratory nonlinear solution for analyzing dynamical systems-based data. Applying dynamical systems theory to the machine learning solution further provides a pathway to interpret the results. Using random forest models as an i...
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2019-01-01
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| Series: | PLoS ONE |
| Online Access: | https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0226572&type=printable |
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| author | Jonathan E Butner Ascher K Munion Brian R W Baucom Alexander Wong |
| author_facet | Jonathan E Butner Ascher K Munion Brian R W Baucom Alexander Wong |
| author_sort | Jonathan E Butner |
| collection | DOAJ |
| description | Integrating dynamic systems modeling and machine learning generates an exploratory nonlinear solution for analyzing dynamical systems-based data. Applying dynamical systems theory to the machine learning solution further provides a pathway to interpret the results. Using random forest models as an illustrative example, these models were able to recover the temporal dynamics of time series data simulated using a modified Cusp Catastrophe Monte Carlo. By extracting the points of no change (set points) and the predicted changes surrounding the set points, it is possible to characterize the topology of the system, both for systems governed by global equation forms and complex adaptive systems. RESULTS: The model for the simulation was able to recover the cusp catastrophe (i.e. the qualitative changes in the dynamics of the system) even when applied to data that have a significant amount of error variance. To further illustrate the approach, a real-world accelerometer example was examined, where the model differentiated between movement dynamics patterns by identifying set points related to cyclic motion during walking and attraction during stair climbing. These example findings suggest that integrating machine learning with dynamical systems modeling provides a viable means for classifying distinct temporal patterns, even when there is no governing equation for the nonlinear dynamics. Results of these integrated models yield solutions with both a prediction of where the system is going next and a decomposition of the topological features implied by the temporal dynamics. |
| format | Article |
| id | doaj-art-2ecd2c57a05e4b5a92e60dd1aaaf1de4 |
| institution | DOAJ |
| issn | 1932-6203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-2ecd2c57a05e4b5a92e60dd1aaaf1de42025-08-20T02:55:16ZengPublic Library of Science (PLoS)PLoS ONE1932-62032019-01-011412e022657210.1371/journal.pone.0226572Ghost hunting in the nonlinear dynamic machine.Jonathan E ButnerAscher K MunionBrian R W BaucomAlexander WongIntegrating dynamic systems modeling and machine learning generates an exploratory nonlinear solution for analyzing dynamical systems-based data. Applying dynamical systems theory to the machine learning solution further provides a pathway to interpret the results. Using random forest models as an illustrative example, these models were able to recover the temporal dynamics of time series data simulated using a modified Cusp Catastrophe Monte Carlo. By extracting the points of no change (set points) and the predicted changes surrounding the set points, it is possible to characterize the topology of the system, both for systems governed by global equation forms and complex adaptive systems. RESULTS: The model for the simulation was able to recover the cusp catastrophe (i.e. the qualitative changes in the dynamics of the system) even when applied to data that have a significant amount of error variance. To further illustrate the approach, a real-world accelerometer example was examined, where the model differentiated between movement dynamics patterns by identifying set points related to cyclic motion during walking and attraction during stair climbing. These example findings suggest that integrating machine learning with dynamical systems modeling provides a viable means for classifying distinct temporal patterns, even when there is no governing equation for the nonlinear dynamics. Results of these integrated models yield solutions with both a prediction of where the system is going next and a decomposition of the topological features implied by the temporal dynamics.https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0226572&type=printable |
| spellingShingle | Jonathan E Butner Ascher K Munion Brian R W Baucom Alexander Wong Ghost hunting in the nonlinear dynamic machine. PLoS ONE |
| title | Ghost hunting in the nonlinear dynamic machine. |
| title_full | Ghost hunting in the nonlinear dynamic machine. |
| title_fullStr | Ghost hunting in the nonlinear dynamic machine. |
| title_full_unstemmed | Ghost hunting in the nonlinear dynamic machine. |
| title_short | Ghost hunting in the nonlinear dynamic machine. |
| title_sort | ghost hunting in the nonlinear dynamic machine |
| url | https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0226572&type=printable |
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