White-box Machine learning approaches to identify governing equations for overall dynamics of manufacturing systems: A case study on distillation column
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- @Article{SUBRAMANIAN:2021:MLA,
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author = "Renganathan Subramanian and Raghav Rajesh Moar and
Shweta Singh",
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title = "White-box Machine learning approaches to identify
governing equations for overall dynamics of
manufacturing systems: A case study on distillation
column",
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journal = "Machine Learning with Applications",
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volume = "3",
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pages = "100014",
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year = "2021",
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ISSN = "2666-8270",
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DOI = "doi:10.1016/j.mlwa.2020.100014",
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URL = "https://www.sciencedirect.com/science/article/pii/S2666827020300141",
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keywords = "genetic algorithms, genetic programming, Machine
learning, ASPEN dynamics, Distillation column, SINDy,
Dynamic equation, Symbolic regression",
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abstract = "Dynamical equations form the basis of design for
manufacturing processes and control systems; however,
identifying governing equations using a mechanistic
approach is tedious. Recently, Machine learning (ML)
has shown promise to identify the governing dynamical
equations for physical systems faster. This possibility
of rapid identification of governing equations provides
an exciting opportunity for advancing dynamical systems
modeling. However, applicability of the ML approach in
identifying governing mechanisms for the dynamics of
complex systems relevant to manufacturing has not been
tested. We test and compare the efficacy of two
white-box ML approaches (SINDy and SymReg) for
predicting dynamics and structure of dynamical
equations for overall dynamics in a distillation
column. Results demonstrate that a combination of ML
approaches should be used to identify a full range of
equations. In terms of physical law, few terms were
interpretable as related to Fick's law of diffusion and
Henry's law in SINDy, whereas SymReg identified energy
balance as driving dynamics",
- }
Genetic Programming entries for
Renganathan Subramanian
Raghav Rajesh Moar
Shweta Singh
Citations