Characterising the Double Descent of Symbolic Regression
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- @InProceedings{dick:2024:GECCOcomp,
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author = "Grant Dick and Caitlin Owen",
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title = "Characterising the Double Descent of Symbolic
Regression",
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booktitle = "Symbolic Regression",
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year = "2024",
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editor = "William {La Cava} and Steven Gustafson",
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pages = "2050--2057",
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address = "Melbourne, Australia",
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series = "GECCO '24",
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month = "14-18 " # jul,
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organisation = "SIGEVO",
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publisher = "Association for Computing Machinery",
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publisher_address = "New York, NY, USA",
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keywords = "genetic algorithms, genetic programming, symbolic
regression, bias-variance tradeoff, double descent",
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isbn13 = "979-8-4007-0495-6",
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DOI = "doi:10.1145/3638530.3664176",
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size = "8 pages",
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abstract = "Recent work has argued that many machine learning
techniques exhibit a 'double descent' in model risk,
where increasing model complexity beyond an
interpolation zone can overcome the bias-variance
tradeoff to produce large, over-parameterised models
that generalise well to unseen data. While the double
descent characteristic has been identified in many
learning methods, it has not been explored within
symbolic regression research. This paper presents an
initial exploration into the presence of double descent
behaviour in symbolic regression over a range of
parameter settings. Results suggest that symbolic
regression via genetic programming does not exhibit a
clear double descent risk curve relative to model size
or function set. Unlike other methods, models evolved
through symbolic regression do not appear to strongly
interpolate training data, which promotes a degree of
robustness towards noise in training data. However,
models evolved by symbolic regression can still be
large and do not present a strong overfitting
characteristic. Given that a prime motivation for
symbolic regression is to produce compact interpretable
models, these results suggest that methods aimed at
regularising evolved models should be a key feature of
all symbolic regression methods.",
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notes = "GECCO-2024 SymReg A Recombination of the 33rd
International Conference on Genetic Algorithms (ICGA)
and the 29th Annual Genetic Programming Conference
(GP)",
- }
Genetic Programming entries for
Grant Dick
Caitlin A Owen
Citations