MDBench: Benchmarking Data-Driven Methods for Model Discovery

arXiv — cs.LGTuesday, November 25, 2025 at 5:00:00 AM
  • MDBench has been introduced as an open-source benchmarking framework designed to evaluate model discovery methods for dynamical systems, assessing 12 algorithms on 14 partial differential equations (PDEs) and 63 ordinary differential equations (ODEs) under various noise levels. This initiative aims to fill the gap in comprehensive benchmarks for discovering dynamical models, which has been lacking in previous research focused primarily on symbolic regression.
  • The development of MDBench is significant as it provides a structured approach to track advancements in model discovery, enabling researchers to understand the trade-offs between different algorithms. By evaluating model complexity, accuracy, and fidelity, MDBench aims to enhance the reliability of dynamical system modeling, which is crucial for various scientific fields, including fluid dynamics and thermodynamics.
  • This initiative reflects a growing trend in the field of artificial intelligence and data-driven modeling, where the need for robust benchmarking frameworks is increasingly recognized. As researchers tackle complex dynamical systems, the integration of advanced methodologies, such as diffusion models and Bayesian data assimilation, highlights the importance of addressing measurement uncertainties and improving predictive capabilities in various applications, including meteorology and solar physics.
— via World Pulse Now AI Editorial System

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