An Approach to Symbolic Regression Using Feyn
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Abstract (arXiv)
In this article we introduce the supervised machine learning tool called Feyn. The simulation engine that powers this tool is called the QLattice. The QLattice is a supervised machine learning tool inspired by Richard Feynman's path integral formulation, that explores many potential models that solves a given problem. It formulates these models as graphs that can be interpreted as mathematical equations, allowing the user to completely decide on the trade-off between interpretability, complexity and model performance. We touch briefly upon the inner workings of the QLattice, and show how to apply the python package, Feyn, to scientific problems. We show how it differs from traditional machine learning approaches, what it has in common with them, as well as some of its commonalities with symbolic regression. We describe the benefits of this approach as opposed to black box models. To illustrate this, we go through an investigative workflow using a basic data set and show how the QLattice can help you reason about the relationships between your features and do data discovery.
Key facts. Cited by 20 papers in the map (data through 7 Oct 2026). Builds on 5 of its 19 references that are in the map. First posted on arXiv 12 Apr 2021.
Builds on
5 of 19 references.
References · 5
- 2019AI Feynman: a Physics-Inspired Method for Symbolic Regressioncited by 536
- 2020Discovering Symbolic Models from Deep Learning with Inductive Biasescited by 335
- 2019Integration of Neural Network-Based Symbolic Regression in Deep Learning for Scientific Discoverycited by 93
- 2020AI Poincar'e: Machine Learning Conservation Laws from Trajectoriescited by 77
- 2019Learning Symbolic Physics with Graph Networkscited by 52
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Citing papers per year: 2022: 1; 2023: 6; 2024: 3; 2025: 5; 2026: 5.
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- 2023Interpretable Machine Learning for Science with PySR and SymbolicRegression.jlcited by 36
- 2022Exhaustive Symbolic Regressioncited by 29
- 2023AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identificationcited by 29
- 2025Call for Action: towards the next generation of symbolic regression benchmarkcited by 16
- 2025Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacologycited by 10
- 2023Interpretable Symbolic Regression for Data Science: Analysis of the 2022 Competitioncited by 6
- 2024A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programmingcited by 5
- 2023Machine-Guided Discovery of a Real-World Rogue Wave Modelcited by 3
- 2024Closed-Form Interpretation of Neural Network Classifiers with Symbolic Gradientscited by 3
- 2025(Exhaustive) Symbolic Regression and model selection by minimum description lengthcited by 2
- 2023Information Fusion via Symbolic Regression: A Tutorial in the Context of Human Healthcited by 1
- 2024Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradientscited by 1
8 more
- 2025Towards Transparent and Accurate Diabetes Prediction Using Machine Learning and Explainable Artificial Intelligencecited by 1
- 2026VaSST: Variational Inference for Symbolic Regression using Soft Symbolic Treescited by 1
- 2023Chronosymbolic Learning: Efficient CHC Solving with Symbolic Reasoning and Inductive Learningcited by 0
- 2025Medical artificial intelligence toolbox (MAIT): an explainable machine learning framework for binary classification, survival modelling, and regression analysescited by 0
- 2026Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Seriescited by 0
- 2026Symbolic Classification-Enabled LHC Limits for BSM Global Fitscited by 0
- 2026Learning Prognostic Variables for AI Convective Parameterizations via Symbolic Distillationcited by 0
- 2026SymbolicArena: A Unified Infrastructure for Benchmark Distillation and Dynamic Evaluation in Symbolic Regressioncited by 0
- 2026SymbolicArena: A Unified Infrastructure for Benchmark Distillation and Dynamic Evaluation in Symbolic Regression28 Sep 2026
- 2026Learning Prognostic Variables for AI Convective Parameterizations via Symbolic Distillation21 Sep 2026
- 2026Symbolic Classification-Enabled LHC Limits for BSM Global Fits21 May 2026
- 2026Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series7 Mar 2026
- 2026VaSST: Variational Inference for Symbolic Regression using Soft Symbolic Trees27 Feb 2026
- 2025(Exhaustive) Symbolic Regression and model selection by minimum description length17 Jul 2025
- 2025Call for Action: towards the next generation of symbolic regression benchmark6 May 2025
- 2025Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacology10 Apr 2025
- 2025Towards Transparent and Accurate Diabetes Prediction Using Machine Learning and Explainable Artificial Intelligence30 Jan 2025
- 2025Medical artificial intelligence toolbox (MAIT): an explainable machine learning framework for binary classification, survival modelling, and regression analyses8 Jan 2025
- 2024Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradients9 Sep 2024
- 2024A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming5 Jun 2024
8 more
- 2024Closed-Form Interpretation of Neural Network Classifiers with Symbolic Gradients10 Jan 2024
- 2023Machine-Guided Discovery of a Real-World Rogue Wave Model21 Nov 2023
- 2023AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification29 Sep 2023
- 2023Information Fusion via Symbolic Regression: A Tutorial in the Context of Human Health31 May 2023
- 2023Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl2 May 2023
- 2023Chronosymbolic Learning: Efficient CHC Solving with Symbolic Reasoning and Inductive Learning2 May 2023
- 2023Interpretable Symbolic Regression for Data Science: Analysis of the 2022 Competition3 Apr 2023
- 2022Exhaustive Symbolic Regression21 Nov 2022
- 2023Interpretable Machine Learning for Science with PySR and SymbolicRegression.jlcited by 36
- 2022Exhaustive Symbolic Regressioncited by 29
- 2023AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identificationcited by 29
- 2025Call for Action: towards the next generation of symbolic regression benchmarkcited by 16
- 2025Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacologycited by 10
- 2023Interpretable Symbolic Regression for Data Science: Analysis of the 2022 Competitioncited by 6
- 2024A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programmingcited by 5
- 2023Machine-Guided Discovery of a Real-World Rogue Wave Modelcited by 3
- 2024Closed-Form Interpretation of Neural Network Classifiers with Symbolic Gradientscited by 3
- 2025(Exhaustive) Symbolic Regression and model selection by minimum description lengthcited by 2
- 2023Information Fusion via Symbolic Regression: A Tutorial in the Context of Human Healthcited by 1
- 2024Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradientscited by 1
12 most cited of 19 All 19 (JSON)
- 2026SymbolicArena: A Unified Infrastructure for Benchmark Distillation and Dynamic Evaluation in Symbolic Regression28 Sep 2026
- 2026Learning Prognostic Variables for AI Convective Parameterizations via Symbolic Distillation21 Sep 2026
- 2026Symbolic Classification-Enabled LHC Limits for BSM Global Fits21 May 2026
- 2026Turning Time Series into Algebraic Equations: Symbolic Machine Learning for Interpretable Modeling of Chaotic Time Series7 Mar 2026
- 2026VaSST: Variational Inference for Symbolic Regression using Soft Symbolic Trees27 Feb 2026
- 2025(Exhaustive) Symbolic Regression and model selection by minimum description length17 Jul 2025
- 2025Call for Action: towards the next generation of symbolic regression benchmark6 May 2025
- 2025Representation Meets Optimization: Training PINNs and PIKANs for Gray-Box Discovery in Systems Pharmacology10 Apr 2025
- 2025Towards Transparent and Accurate Diabetes Prediction Using Machine Learning and Explainable Artificial Intelligence30 Jan 2025
- 2025Medical artificial intelligence toolbox (MAIT): an explainable machine learning framework for binary classification, survival modelling, and regression analyses8 Jan 2025
- 2024Closed-Form Interpretation of Neural Network Latent Spaces with Symbolic Gradients9 Sep 2024
- 2024A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming5 Jun 2024
12 newest of 19 All 19 (JSON)