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20122026
most citedContemporary Symbolic Regression Methods and their Relative Performance

144 citations

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22 papers · 1 filter

cs.LG2026

A Comparative Study of Model Selection Criteria for Symbolic Regression

Ali Soltani, Gabriel Kronberger, Fabricio Olivetti de Franca +2

Effective model selection is critical in symbolic regression (SR) to identify mathematical expressions that balance accuracy and complexity, and have low expected error on unseen d…

cs.LG2025★ 3 cited

Introduction to Symbolic Regression in the Physical Sciences

Deaglan J. Bartlett, Harry Desmond, Pedro G. Ferreira +1

Symbolic regression (SR) has emerged as a powerful method for uncovering interpretable mathematical relationships from data, offering a novel route to both scientific discovery and…

cs.LG2025★ 2 cited

Can Synthetic Data Improve Symbolic Regression Extrapolation Performance?

Fitria Wulandari Ramlan, Colm O'Riordan, Gabriel Kronberger +1

Many machine learning models perform well when making predictions within the training data range, but often struggle when required to extrapolate beyond it. Symbolic regression (SR…

cs.LG2025★ 5 cited

Call for Action: towards the next generation of symbolic regression benchmark

Guilherme S. Imai Aldeia, Hengzhe Zhang, Geoffrey Bomarito +5

Symbolic Regression (SR) is a powerful technique for discovering interpretable mathematical expressions. However, benchmarking SR methods remains challenging due to the diversity o…

cs.LG2025★ 3 cited

rEGGression: an Interactive and Agnostic Tool for the Exploration of Symbolic Regression Models

Fabricio Olivetti de Franca, Gabriel Kronberger

Regression analysis is used for prediction and to understand the effect of independent variables on dependent variables. Symbolic regression (SR) automates the search for non-linea…

cs.LG2025★ 6 cited

Improving Genetic Programming for Symbolic Regression with Equality Graphs

Fabricio Olivetti de Franca, Gabriel Kronberger

The search for symbolic regression models with genetic programming (GP) has a tendency of revisiting expressions in their original or equivalent forms. Repeatedly evaluating equiva…

cs.LG2022★ 3 cited

Identifying Differential Equations to predict Blood Glucose using Sparse Identification of Nonlinear Systems

David Jödicke, Daniel Parra, Gabriel Kronberger +1

Describing dynamic medical systems using machine learning is a challenging topic with a wide range of applications. In this work, the possibility of modeling the blood glucose leve…

cs.LG2022★ 2 cited

Shape-constrained Symbolic Regression with NSGA-III

Christian Haider

Shape-constrained symbolic regression (SCSR) allows to include prior knowledge into data-based modeling. This inclusion allows to ensure that certain expected behavior is better re…

cs.LG2022★ 2 cited

Symbolic Regression with Fast Function Extraction and Nonlinear Least Squares Optimization

Lukas Kammerer, Gabriel Kronberger, Michael Kommenda

Fast Function Extraction (FFX) is a deterministic algorithm for solving symbolic regression problems. We improve the accuracy of FFX by adding parameters to the arguments of nonlin…

cs.LG2022★ 4 cited

Comparing Shape-Constrained Regression Algorithms for Data Validation

Florian Bachinger, Gabriel Kronberger

Industrial and scientific applications handle large volumes of data that render manual validation by humans infeasible. Therefore, we require automated data validation approaches t…

cs.LG2021★ 9 cited

Cluster Analysis of a Symbolic Regression Search Space

Gabriel Kronberger, Lukas Kammerer, Bogdan Burlacu +3

In this chapter we take a closer look at the distribution of symbolic regression models generated by genetic programming in the search space. The motivation for this work is to imp…

cs.LG2021★ 19 cited

Symbolic Regression by Exhaustive Search: Reducing the Search Space Using Syntactical Constraints and Efficient Semantic Structure Deduplication

Lukas Kammerer, Gabriel Kronberger, Bogdan Burlacu +3

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require spe…

cs.LG2021★ 3 cited

Understanding and Preparing Data of Industrial Processes for Machine Learning Applications

Philipp Fleck, Manfred Kügel, Michael Kommenda

Industrial applications of machine learning face unique challenges due to the nature of raw industry data. Preprocessing and preparing raw industrial data for machine learning appl…

cs.LG2021

Preprocessing and Modeling of Radial Fan Data for Health State Prediction

Florian Holzinger, Michael Kommenda

Monitoring critical components of systems is a crucial step towards failure safety. Affordable sensors are available and the industry is in the process of introducing and extending…

cs.LG2021★ 2 cited

Optimization Networks for Integrated Machine Learning

Michael Kommenda, Johannes Karder, Andreas Beham +4

Optimization networks are a new methodology for holistically solving interrelated problems that have been developed with combinatorial optimization problems in mind. In this contri…

cs.LG2021★ 15 cited

Complexity Measures for Multi-objective Symbolic Regression

Michael Kommenda, Andreas Beham, Michael Affenzeller +1

Multi-objective symbolic regression has the advantage that while the accuracy of the learned models is maximized, the complexity is automatically adapted and need not be specified…

cs.LG2021★ 2 cited

On the Effectiveness of Genetic Operations in Symbolic Regression

Bogdan Burlacu, Michael Affenzeller, Michael Kommenda

This paper describes a methodology for analyzing the evolutionary dynamics of genetic programming (GP) using genealogical information, diversity measures and information about the…

cs.LG2021

Data Aggregation for Reducing Training Data in Symbolic Regression

Lukas Kammerer, Gabriel Kronberger, Michael Kommenda

The growing volume of data makes the use of computationally intense machine learning techniques such as symbolic regression with genetic programming more and more impractical. This…

cs.LG2021★ 1 cited

Smooth Symbolic Regression: Transformation of Symbolic Regression into a Real-valued Optimization Problem

Erik Pitzer, Gabriel Kronberger

The typical methods for symbolic regression produce rather abrupt changes in solution candidates. In this work, we have tried to transform symbolic regression from an optimization…

cs.LG2021★ 9 cited

Concept Drift Detection with Variable Interaction Networks

Jan Zenisek, Gabriel Kronberger, Josef Wolfartsberger +2

The current development of today's production industry towards seamless sensor-based monitoring is paving the way for concepts such as Predictive Maintenance. By this means, the co…

cs.LG2021★ 3 cited

Concept for a Technical Infrastructure for Management of Predictive Models in Industrial Applications

Florian Bachinger, Gabriel Kronberger

With the increasing number of created and deployed prediction models and the complexity of machine learning workflows we require so called model management systems to support data…

cs.LG2021★ 8 cited

Predicting Friction System Performance with Symbolic Regression and Genetic Programming with Factor Variables

Gabriel Kronberger, Michael Kommenda, Andreas Promberger +1

Friction systems are mechanical systems wherein friction is used for force transmission (e.g. mechanical braking systems or automatic gearboxes). For finding optimal and safe desig…