research-article

The Use of an Analytic Quotient Operator in Genetic Programming

Authors:

Ji Ni,

Russ H. Drieberg,

Peter I. RockettAuthors Info & Claims

IEEE Transactions on Evolutionary Computation, Volume 17, Issue 1

Pages 146 - 152

https://doi.org/10.1109/TEVC.2012.2195319

Published: 01 February 2013 Publication History

Abstract

We propose replacing the division operator used in genetic programming with an analytic quotient (AQ) operator. We demonstrate that this AQ operator systematically yields lower mean squared errors over a range of regression tasks, due principally to removing the discontinuities or singularities that can often result from using either protected or unprotected division. Further, the AQ operator is differentiable. We also show that the new AQ operator stabilizes the variance of the intermediate quantities in the tree.

Cited By

View all

Muñoz Contreras JTrujillo LHernandez DCardenas Florido L(2025)Benchmarking GSGP: Still competitive 10 years later?Genetic Programming and Evolvable Machines10.1007/s10710-024-09504-326:1Online publication date: 1-Jun-2025
https://dl.acm.org/doi/10.1007/s10710-024-09504-3
Zhang HChen QXue BBanzhaf WZhang MLi XHandl J(2024)Bias-Variance Decomposition: An Effective Tool to Improve Generalization of Genetic Programming-based Evolutionary Feature Construction for RegressionProceedings of the Genetic and Evolutionary Computation Conference10.1145/3638529.3654075(998-1006)Online publication date: 14-Jul-2024
https://dl.acm.org/doi/10.1145/3638529.3654075
Zhang HChen QXue BBanzhaf WZhang M(2024)A Semantic-Based Hoist Mutation Operator for Evolutionary Feature Construction in RegressionIEEE Transactions on Evolutionary Computation10.1109/TEVC.2023.333123428:6(1689-1703)Online publication date: 1-Dec-2024
https://dl.acm.org/doi/10.1109/TEVC.2023.3331234
Show More Cited By

Recommendations

The induced generalized OWA operator

We present the induced generalized ordered weighted averaging (IGOWA) operator. It is a new aggregation operator that generalizes the OWA operator, including the main characteristics of both the generalized OWA and the induced OWA operator. This ...
Classes of multivalent analytic functions involving the Dziok-Srivastava operator

The object of the present paper is to investigate some inclusion relationships and a number of other useful properties of several subclasses of multivalent analytic functions, which are defined here by using the Dziok-Srivastava operator. Relevant ...
Some properties of certain multivalent analytic functions involving the Cho-Kwon-Srivastava operator

By making use of the principle of subordination between analytic functions and the Cho-Kwon-Srivastava operator, we introduce a certain subclass of multivalent analytic functions. Such results as subordination and superordination properties, convolution ...

Comments

Information & Contributors

Information

Published In

cover image IEEE Transactions on Evolutionary Computation

IEEE Transactions on Evolutionary Computation Volume 17, Issue 1

February 2013

152 pages

ISSN:1089-778X

Issue’s Table of Contents

Publisher

IEEE Press

Publication History

Published: 01 February 2013

Qualifiers

Research-article

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

50
Total Citations
View Citations
0
Total Downloads

Downloads (Last 12 months)0
Downloads (Last 6 weeks)0

Reflects downloads up to 25 Jan 2025

Other Metrics

View Author Metrics

Citations

Cited By

View all

Muñoz Contreras JTrujillo LHernandez DCardenas Florido L(2025)Benchmarking GSGP: Still competitive 10 years later?Genetic Programming and Evolvable Machines10.1007/s10710-024-09504-326:1Online publication date: 1-Jun-2025
https://dl.acm.org/doi/10.1007/s10710-024-09504-3
Zhang HChen QXue BBanzhaf WZhang MLi XHandl J(2024)Bias-Variance Decomposition: An Effective Tool to Improve Generalization of Genetic Programming-based Evolutionary Feature Construction for RegressionProceedings of the Genetic and Evolutionary Computation Conference10.1145/3638529.3654075(998-1006)Online publication date: 14-Jul-2024
https://dl.acm.org/doi/10.1145/3638529.3654075
Zhang HChen QXue BBanzhaf WZhang M(2024)A Semantic-Based Hoist Mutation Operator for Evolutionary Feature Construction in RegressionIEEE Transactions on Evolutionary Computation10.1109/TEVC.2023.333123428:6(1689-1703)Online publication date: 1-Dec-2024
https://dl.acm.org/doi/10.1109/TEVC.2023.3331234
Zhang HChen QXue BBanzhaf WZhang M(2024)Modular Multitree Genetic Programming for Evolutionary Feature Construction for RegressionIEEE Transactions on Evolutionary Computation10.1109/TEVC.2023.331863828:5(1455-1469)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1109/TEVC.2023.3318638
Zhang HZhou AChen QXue BZhang M(2024)SR-Forest: A Genetic Programming-Based Heterogeneous Ensemble Learning MethodIEEE Transactions on Evolutionary Computation10.1109/TEVC.2023.324317228:5(1484-1498)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1109/TEVC.2023.3243172
Owen CDick GWhigham P(2024)Revisiting Bagging for Stochastic AlgorithmsAI 2024: Advances in Artificial Intelligence10.1007/978-981-96-0351-0_12(162-173)Online publication date: 25-Nov-2024
https://dl.acm.org/doi/10.1007/978-981-96-0351-0_12
Zhang HChen QXue BBanzhaf WZhang M(2024)P-Mixup: Improving Generalization Performance of Evolutionary Feature Construction with Pessimistic Vicinal Risk MinimizationParallel Problem Solving from Nature – PPSN XVIII10.1007/978-3-031-70055-2_13(201-220)Online publication date: 14-Sep-2024
https://dl.acm.org/doi/10.1007/978-3-031-70055-2_13
Zhang HChen QXue BBanzhaf WZhang M(2024)Improving Generalization of Evolutionary Feature Construction with Minimal Complexity Knee Points in RegressionGenetic Programming10.1007/978-3-031-56957-9_9(142-158)Online publication date: 3-Apr-2024
https://dl.acm.org/doi/10.1007/978-3-031-56957-9_9
Geiger ASobania DRothlauf F(2024)A Comprehensive Comparison of Lexicase-Based Selection Methods for Symbolic Regression ProblemsGenetic Programming10.1007/978-3-031-56957-9_12(192-208)Online publication date: 3-Apr-2024
https://dl.acm.org/doi/10.1007/978-3-031-56957-9_12
Moscato PCiezak ANoman NSilva SPaquete L(2023)Dynamic Depth for Better Generalization in Continued Fraction RegressionProceedings of the Genetic and Evolutionary Computation Conference10.1145/3583131.3590461(520-528)Online publication date: 15-Jul-2023
https://dl.acm.org/doi/10.1145/3583131.3590461
Show More Cited By

Abstract

Cited By

Recommendations

The induced generalized OWA operator

Classes of multivalent analytic functions involving the Dziok-Srivastava operator

Some properties of certain multivalent analytic functions involving the Cho-Kwon-Srivastava operator

Comments

Information

Published In

Publisher

Publication History

Qualifiers

Contributors

Other Metrics

Bibliometrics

Article Metrics

Other Metrics

Citations

Cited By

View options

Share

Share this Publication link

Share on social media

Affiliations