Are you sure? A Comprehensive and Comprehensible Survey of Uncertainty Quantification in Symbolic Regression

arXiv:2606.06567v1 Announce Type: new Abstract: Symbolic regression (SR) is a class of methods that systematically explore the space of mathematical functions to discover models that accurately capture the underlying relationships in a dataset. Despite recent advances in the field, a lack of support for uncertainty quantification (UQ) limits its adoption in real-world decision processes. In regression analysis, UQ provides important information about the model reliability, which can both help to avoid overfitting by accounting for uncertainty in the data, and provide insights for decision-maki
The increasing complexity and adoption of AI models in critical applications demand robust methods for assessing their reliability and trustworthiness.
A strategic reader should care because improving uncertainty quantification in AI, especially in symbolic regression, enhances model reliability, reduces operational risks, and expands AI's utility in high-stakes decision-making.
The ability to systematically quantify uncertainty in symbolic regression could unlock new applications where model interpretability and reliability are paramount, moving AI beyond opaque 'black box' approaches.
- · AI developers
- · High-stakes industries (e.g., finance, medicine, engineering)
- · Decision-makers reliant on AI models
- · Companies offering 'black box' AI solutions without UQ
- · Inaccurate or overconfident AI models
Increased adoption of symbolic regression in real-world decision processes due to improved trustworthiness.
Development of standardized metrics and regulatory frameworks for uncertainty quantification in AI models.
Potential for a new competitive advantage in AI solutions emphasizing transparency and reliability over pure predictive power.
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