On the Effect of Embedding Hierarchy within Multi-Objective Optimization for Evolving Symbolic Regression Models
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- @InProceedings{rafiq:2022:GECCOcomp,
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author = "Atif Rafiq and Enrique Naredo and
Meghana Kshirsagar and Conor Ryan",
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title = "On the Effect of Embedding Hierarchy within
{Multi-Objective} Optimization for Evolving Symbolic
Regression Models",
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booktitle = "Proceedings of the 2022 Genetic and Evolutionary
Computation Conference Companion",
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year = "2022",
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editor = "Heike Trautmann and Carola Doerr and
Alberto Moraglio and Thomas Bartz-Beielstein and Bogdan Filipic and
Marcus Gallagher and Yew-Soon Ong and
Abhishek Gupta and Anna V Kononova and Hao Wang and
Michael Emmerich and Peter A. N. Bosman and Daniela Zaharie and
Fabio Caraffini and Johann Dreo and Anne Auger and
Konstantin Dietric and Paul Dufosse and Tobias Glasmachers and
Nikolaus Hansen and Olaf Mersmann and Petr Posik and
Tea Tusar and Dimo Brockhoff and Tome Eftimov and
Pascal Kerschke and Boris Naujoks and Mike Preuss and
Vanessa Volz and Bilel Derbel and Ke Li and
Xiaodong Li and Saul Zapotecas and Qingfu Zhang and
Mark Coletti and Catherine (Katie) Schuman and
Eric ``Siggy'' Scott and Robert Patton and Paul Wiegand and
Jeffrey K. Bassett and Chathika Gunaratne and Tinkle Chugh and
Richard Allmendinger and Jussi Hakanen and
Daniel Tauritz and John Woodward and Manuel Lopez-Ibanez and
John McCall and Jaume Bacardit and
Alexander Brownlee and Stefano Cagnoni and Giovanni Iacca and
David Walker and Jamal Toutouh and UnaMay O'Reilly and
Penousal Machado and Joao Correia and Sergio Nesmachnow and
Josu Ceberio and Rafael Villanueva and Ignacio Hidalgo and
Francisco {Fernandez de Vega} and Giuseppe Paolo and
Alex Coninx and Antoine Cully and Adam Gaier and
Stefan Wagner and Michael Affenzeller and Bobby R. Bruce and
Vesna Nowack and Aymeric Blot and Emily Winter and
William B. Langdon and Justyna Petke and
Silvino {Fernandez Alzueta} and Pablo {Valledor Pellicer} and
Thomas Stuetzle and David Paetzel and
Alexander Wagner and Michael Heider and Nadarajen Veerapen and
Katherine Malan and Arnaud Liefooghe and Sebastien Verel and
Gabriela Ochoa and Mohammad Nabi Omidvar and
Yuan Sun and Ernesto Tarantino and De Falco Ivanoe and
Antonio {Della Cioppa} and Scafuri Umberto and John Rieffel and
Jean-Baptiste Mouret and Stephane Doncieux and
Stefanos Nikolaidis and Julian Togelius and
Matthew C. Fontaine and Serban Georgescu and Francisco Chicano and
Darrell Whitley and Oleksandr Kyriienko and Denny Dahl and
Ofer Shir and Lee Spector and Alma Rahat and
Richard Everson and Jonathan Fieldsend and Handing Wang and
Yaochu Jin and Erik Hemberg and Marwa A. Elsayed and
Michael Kommenda and William {La Cava} and
Gabriel Kronberger and Steven Gustafson",
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pages = "594--597",
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address = "Boston, USA",
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series = "GECCO '22",
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month = "9-13 " # 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, pyramid,
complexity in symbolic regression, multi-objective
symbolic regression, hierarchical fitness function
(HFF)",
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isbn13 = "978-1-4503-9268-6/22/07",
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DOI = "doi:10.1145/3520304.3528808",
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abstract = "Symbolic Regression is sometimes treated as a
multi-objective optimization problem where two
objectives (Accuracy and Complexity) are optimized
simultaneously. In this paper, we propose a novel
approach, Hierarchical Multi-objective Symbolic
Regression (HMS), where we investigate the effect of
imposing a hierarchy on multiple objectives in Symbolic
Regression. HMS works in two levels. In the first
level, an initial random population is evolved using a
single objective (Accuracy), then, when a simple
trigger occurs (the current best fitness is five times
better than best fitness of the initial, random
population) half of the population is promoted to the
next level where another objective (complexity) is
incorporated. This new, smaller, population
subsequently evolves using a multi-objective fitness
function. Various complexity measures are tested and as
such are explicitly defined as one of the objectives in
addition to performance (accuracy). The validation of
HMS is performed on four benchmark Symbolic Regression
problems with varying difficulty. The evolved Symbolic
Regression models are either competitive with or better
than models produced with standard approaches in terms
of performance where performance is the accuracy
measured as Root Mean Square Error. The solutions are
better in terms of size, effectively scaling down the
computational cost.",
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notes = "GECCO-2022 A Recombination of the 31st International
Conference on Genetic Algorithms (ICGA) and the 27th
Annual Genetic Programming Conference (GP)",
- }
Genetic Programming entries for
Atif Rafiq
Enrique Naredo
Meghana Kshirsagar
Conor Ryan
Citations