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The Zoetrope Genetic Programming (ZGP) algorithm is based on an original representation for mathematical expressions, targeting evolutionary symbolic regression.The zoetropic representation uses repeated fusion operations between partial…

In standard genetic programming (stdGP), solutions are varied by modifying their syntax, with uncertain effects on their semantics. Geometric-semantic genetic programming (GSGP), a popular variant of GP, effectively searches the semantic…

神经与进化计算 · 计算机科学 2025-01-31 Philipp Anthes , Dominik Sobania , Franz Rothlauf

Symbolic regression is the task of identifying a mathematical expression that best fits a provided dataset of input and output values. Due to the richness of the space of mathematical expressions, symbolic regression is generally a…

机器学习 · 计算机科学 2021-06-29 Mojtaba Valipour , Bowen You , Maysum Panju , Ali Ghodsi

Gene expression programming is an evolutionary optimization algorithm with the potential to generate interpretable and easily implementable equations for regression problems. Despite knowledge gained from previous optimizations being…

神经与进化计算 · 计算机科学 2025-02-05 Maximilian Reissmann , Yuan Fang , Andrew S. H. Ooi , Richard D. Sandberg

Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

统计方法学 · 统计学 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

Genetic programming (GP) is a commonly used approach to solve symbolic regression (SR) problems. Compared with the machine learning or deep learning methods that depend on the pre-defined model and the training dataset for solving SR…

神经与进化计算 · 计算机科学 2022-05-23 Baihe He , Qiang Lu , Qingyun Yang , Jake Luo , Zhiguang Wang

Symbolic regression is a machine learning method with the goal to produce interpretable results. Unlike other machine learning methods such as, e.g. random forests or neural networks, which are opaque, symbolic regression aims to model and…

机器学习 · 计算机科学 2024-06-07 Yousef A. Radwan , Gabriel Kronberger , Stephan Winkler

Evolutionary symbolic regression approaches are powerful tools that can approximate an explicit mapping between input features and observation for various problems. However, ensuring that explored expressions maintain consistency with…

最优化与控制 · 数学 2024-11-19 Maximilian Reissmann , Yuan Fang , Andrew Ooi , Richard Sandberg

The mathematical formula is the human language to describe nature and is the essence of scientific research. Finding mathematical formulas from observational data is a major demand of scientific research and a major challenge of artificial…

机器学习 · 计算机科学 2024-04-10 Yanjie Li , Weijun Li , Lina Yu , Min Wu , Jingyi Liu , Wenqiang Li , Meilan Hao , Shu Wei , Yusong Deng

Advances in Geometric Semantic Genetic Programming (GSGP) have shown that this variant of Genetic Programming (GP) reaches better results than its predecessor for supervised machine learning problems, particularly in the task of symbolic…

神经与进化计算 · 计算机科学 2018-04-19 Joao Francisco B. S. Martins , Luiz Otavio V. B. Oliveira , Luis F. Miranda , Felipe Casadei , Gisele L. Pappa

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…

神经与进化计算 · 计算机科学 2021-11-19 T. Nathan Mundhenk , Mikel Landajuela , Ruben Glatt , Claudio P. Santiago , Daniel M. Faissol , Brenden K. Petersen

Mathematical formulas are the crystallization of human wisdom in exploring the laws of nature for thousands of years. Describing the complex laws of nature with a concise mathematical formula is a constant pursuit of scientists and a great…

机器学习 · 计算机科学 2024-09-20 Yanjie Li , Jingyi Liu , Weijun Li , Lina Yu , Min Wu , Wenqiang Li , Meilan Hao , Su Wei , Yusong Deng

Symbolic Regression (SR) is a regression method that aims to discover mathematical expressions that describe the relationship between variables, and it is often implemented through Genetic Programming, a metaphor for the process of…

神经与进化计算 · 计算机科学 2025-12-02 Guilherme Seidyo Imai Aldeia

Symbolic regression is a machine learning technique, and it has seen many advancements in recent years, especially in genetic programming approaches (GPSR). Furthermore, it has been known for many years that constant optimization of…

机器学习 · 计算机科学 2024-12-04 L. G. A dos Reis , V. L. P. S. Caminha , T. J. P. Penna

Identifying the mathematical relationships that best describe a dataset remains a very challenging problem in machine learning, and is known as Symbolic Regression (SR). In contrast to neural networks which are often treated as black boxes,…

机器学习 · 计算机科学 2023-01-10 Tony Tohme , Dehong Liu , Kamal Youcef-Toumi

Genetic programming is a powerful heuristic search technique that is used for a number of real world applications to solve among others regression, classification, and time-series forecasting problems. A lot of progress towards a theoretic…

神经与进化计算 · 计算机科学 2013-09-24 Gabriel Kronberger , Stephan Winkler , Michael Affenzeller , Andreas Beham , Stefan Wagner

Transformer Semantic Genetic Programming (TSGP) is a semantic search approach that uses a pre-trained transformer model as a variation operator to generate offspring programs with high semantic similarity to a given parent. Unlike other…

机器学习 · 计算机科学 2026-05-01 Philipp Anthes , Dominik Sobania , Franz Rothlauf

Symbolic regression (SR) is the process of discovering hidden relationships from data with mathematical expressions, which is considered an effective way to reach interpretable machine learning (ML). Genetic programming (GP) has been the…

神经与进化计算 · 计算机科学 2023-04-19 Peng Zeng , Xiaotian Song , Andrew Lensen , Yuwei Ou , Yanan Sun , Mengjie Zhang , Jiancheng Lv

Symbolic regression (SR) is a data analysis problem where we search for the mathematical expression that best fits a numerical dataset. It is a global optimization problem. The most popular approach to SR is by genetic programming (SRGP).…

神经与进化计算 · 计算机科学 2019-11-19 Sohrab Towfighi

Symbolic regression is an important but challenging research topic in data mining. It can detect the underlying mathematical models. Genetic programming (GP) is one of the most popular methods for symbolic regression. However, its…

数据结构与算法 · 计算机科学 2017-05-16 Chen Chen , Changtong Luo , Zonglin Jiang
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