SolverBased Fitness Function for the DataDriven Evolutionary Discovery of Partial Differential Equation
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 @InProceedings{Maslyaev:2022:CEC,

author = "Mikhail Maslyaev and Alexander Hvatov",

title = "SolverBased Fitness Function for the DataDriven
Evolutionary Discovery of Partial Differential
Equation",

booktitle = "2022 IEEE Congress on Evolutionary Computation (CEC)",

year = "2022",

address = "Padua",

month = "1823 " # jul,

keywords = "genetic algorithms, genetic programming, equation
discovery, partial differential equation,fitness
function selection, datadriven modeling",

isbn13 = "9781665467094",

URL = "https://www.humancompetitive.org/sites/default/files/entry_1.txt",

DOI = "doi:10.1109/CEC55065.2022.9870370",

size = "8 pages",

abstract = "Partial differential equations provide accurate models
for many physical processes, although their derivation
can be challenging, requiring a fundamental
understanding of the modeled system. This challenge can
be circumvented with the datadriven algorithms that
obtain the governing equation only using observational
data. One of the tools commonly used in search of the
differential equation is the evolutionary optimization
algorithm. we seek to improve the existing evolutionary
approach to datadriven partial differential equation
discovery by introducing a more reliable method of
evaluating the quality of proposed structures, based on
the inclusion of the automated algorithm of partial
differential equations solving. In terms of
evolutionary algorithms, we want to check whether the
more computationally challenging fitness function
represented by the equation solver gives the sufficient
resulting solution quality increase with respect to the
more simple one. The approach includes a
computationally expensive equation solver compared with
the baseline method, which utilized equation
discrepancy to define the fitness function for a
candidate structure in terms of algorithm convergence
and required computational resources on the synthetic
data obtained from the solution of the Kortewegde
Vries equation.",

notes = "Entered 2022 HUMIES
",
 }
Genetic Programming entries for
Mikhail Maslyaev
Alexander Hvatov
Citations