Evidence map›Paper›PMID 38715933›Full record

ArticleAdvances in neural information processing systems2021

Contemporary Symbolic Regression Methods and their Relative Performance.

William La Cava, Bogdan Burlacu, Marco Virgolin, Michael Kommenda, Patryk Orzechowski, Fabrício Olivetti de França, Ying Jin, Jason H Moore

Abstract read
In one paragraph

Article in Advances in neural information processing systems, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.

0numbers the graph read from it
0cells of the map it votes in
19citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

19 citing papers in PubMed.

  1. Review
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  9. SRBench++ : principled benchmarking of symbolic regression with domain-expert interpretation.IEEE transactions on evolutionary computation : a publication of the IEEE Neural Networks Council · 2025
    Article
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  15. Artificial Intelligence in Physical Sciences: Symbolic Regression Trends and Perspectives.Archives of computational methods in engineering : state of the art reviews · 2023
    Review
  16. Identifying regulation with adversarial surrogates.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  17. Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

8 authors.

William La CavaBoston Children's Hospital, Harvard Medical School.
Bogdan BurlacuJosef Ressel Center for Symbolic Regression, University of Applied Sciences Upper Austria.
Marco VirgolinLife Sciences and Health Group, Centrum Wiskunde & Informatica.
Michael KommendaJosef Ressel Center for Symbolic Regression, University of Applied Sciences Upper Austria.
Patryk OrzechowskiInstitute for Biomedical Informatics, University of Pennsylvania.
Fabrício Olivetti de FrançaFederal University of ABC, Santo Andre.
Ying JinDepartment of Statistics, Stanford University.
Jason H MooreInstitute for Biomedical Informatics, University of Pennsylvania.

Funding

Bioinformatics Strategies for Genome-Wide Association StudiesR01LM010098 · NLM · UNIVERSITY OF PENNSYLVANIA · PI MOORE, JASON H., WILLIAMS, SCOTT MATTHEW · 2009 to 2023
$5.1M
Multi-objective representation learning methods for interpetable predictions of patient outcomesusing electronic health recordsR00LM012926 · NLM · BOSTON CHILDREN'S HOSPITAL · PI LA CAVA, WILLIAM · 2021 to 2023
$710k
Multi-objective representation learning methods for interpetable predictions of patient outcomesusing electronic health recordsK99LM012926 · NLM · UNIVERSITY OF PENNSYLVANIA · PI LA CAVA, WILLIAM · 2019 to 2020
$179k
NLM NIH HHS K99 LM012926NLM NIH HHS R00 LM012926NLM NIH HHS R01 LM010098
6 · The paper itself

Abstract

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. We address this shortcoming by introducing an open-source, reproducible benchmarking platform for symbolic regression. We assess 14 symbolic regression methods and 7 machine learning methods on a set of 252 diverse regression problems. Our assessment includes both real-world datasets with no known model form as well as ground-truth benchmark problems. For the real-world datasets, we benchmark the ability of each method to learn models with low error and low complexity relative to state-of-the-art machine learning methods. For the synthetic problems, we assess each method's ability to find exact solutions in the presence of varying levels of noise. Under these controlled experiments, we conclude that the best performing methods for real-world regression combine genetic algorithms with parameter estimation and/or semantic search drivers. When tasked with recovering exact equations in the presence of noise, we find that several approaches perform similarly. We provide a detailed guide to reproducing this experiment and contributing new methods, and encourage other researchers to collaborate with us on a common and living symbolic regression benchmark.

Identifiers

PMID38715933
PMCPMC11074949

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.