Symbolic Regression via Neural-Guided Genetic Programming Population Seeding
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Abstract (arXiv)
Symbolic regression is the process of identifying mathematical expressions that fit observed output from a black-box process. It is a discrete optimization problem generally believed to be NP-hard. Prior approaches to solving the problem include neural-guided search (e.g. using reinforcement learning) and genetic programming. In this work, we introduce a hybrid neural-guided/genetic programming approach to symbolic regression and other combinatorial optimization problems. We propose a neural-guided component used to seed the starting population of a random restart genetic programming component, gradually learning better starting populations. On a number of common benchmark tasks to recover underlying expressions from a dataset, our method recovers 65% more expressions than a recently published top-performing model using the same experimental setup. We demonstrate that running many genetic programming generations without interdependence on the neural-guided component performs better for symbolic regression than alternative formulations where the two are more strongly coupled. Finally, we introduce a new set of 22 symbolic regression benchmark problems with increased difficulty over existing benchmarks. Source code is provided at www.github.com/brendenpetersen/deep-symbolic-optimization.
Key facts. Cited by 97 papers in the map (data through 7 Oct 2026). Builds on 19 of its 58 references that are in the map. First posted on arXiv 29 Oct 2021.
Builds on
19 of 58 references.
References · 19
- 2015Continuous control with deep reinforcement learningcited by 3,279
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- 2017Deep Neuroevolution: Genetic Algorithms Are a Competitive Alternative for Training Deep Neural Networks for Reinforcement Learningcited by 148
- 2020AutoML-Zero: Evolving Machine Learning Algorithms From Scratchcited by 137
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- 2018CEM-RL: Combining evolutionary and gradient-based methods for policy searchcited by 53
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- 2018Neural Program Synthesis with Priority Queue Trainingcited by 24
- 2019Deep Reinforcement Learning using Genetic Algorithm for Parameter Optimizationcited by 23
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- 2018Genetic-Gated Networks for Deep Reinforcementcited by 7
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Citing papers per year: 2022: 10; 2023: 14; 2024: 28; 2025: 29; 2026: 16.
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