SURFACEBENCH: Can Self-Evolving LLMs Find the Equations of 3D Scientific Surfaces?

The article discusses the introduction of SurfaceBench, a new benchmark for symbolic surface discovery in machine learning. This benchmark addresses the challenge of equation discovery from data, which is crucial for understanding complex physical and geometric phenomena. SurfaceBench includes 183 tasks across 15 categories of symbolic complexity, featuring various equation representation forms and synthetic three-dimensional data. It aims to improve upon existing benchmarks that often focus on scalar functions and rely on inadequate metrics.