- author = "Peter Rockett",
- title = "The Solution of Ordinary Differential Equations using Genetic Programming with Constant Tuning",
- booktitle = "24th UK Workshop on Computational Intelligence (UKCI 2025)",
- year = "2025",
- editor = "Emma Hart and Tomas Horvath and Zhiyuan Tan and Sarah Thomson",
- volume = "1468",
- series = "Advances in Intelligent Systems and Computing",
- pages = "103--114",
- address = "Edinburgh Napier University",
- month = "3--5 " # sep,
- publisher = "Springer",
- keywords = "genetic algorithms, genetic programming, ordinary differential equations, ODE, collocation method, analytic quotient operation, AQ,",
- isbn13 = "978-3-032-07937-4",
-
URL = "
https://eprints.whiterose.ac.uk/id/eprint/229165/",
-
DOI = "
10.1007/978-3-032-07938-1_9",
- abstract = "we report the solution of a benchmark set of ordinary differential equations (ODEs) using genetic programming (GP) within a collocation framework using tuning of the embedded tree constants. We report statistical comparison with a baseline GP approach without constant tuning that indicates that parameter tuning produces statistically superior results. We obtain highly accurate solutions for almost all the benchmark ODEs, but identify a hitherto unreported issue with GP finding trivial solutions. The characteristics of the individual ODEs appear to dictate whether or not solution is problematic.",
-
notes = "Published after the conference.
School of Electrical and Electronic Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK",
