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Structured Kolmogorov-Arnold Neural ODEs for Interpretable Learning and Symbolic Discovery of Nonlinear Dynamics

Created by
  • Haebom

Author

Wei Liu, Kiran Bacsa, Loon Ching Tang, Eleni Chatzi

SKANODEs: Data-Driven Discovery of Interpretable, Physics-Based Models

Outline

SKANODE is a framework that integrates structured state-space modeling with the Kolmogorov-Arnold Network (KAN) to model complex nonlinear dynamical systems. Within the Neural ODE architecture, SKANODE utilizes a fully trainable KAN to perform virtual detection and recover latent states corresponding to interpretable physical quantities such as displacement and velocity. Leveraging the symbolic regression capabilities of the KAN, it extracts concise and interpretable expressions for the dominant dynamics of the system.

Takeaways, Limitations

SKANODE has excellent predictive accuracy, discovers physically consistent dynamics, and reveals complex nonlinear behavior.
We identify hysteresis behavior in an F-16 aircraft and recover a concise symbolic equation describing this phenomenon.
SKANODE enables the discovery of interpretable, data-driven models for complex nonlinear dynamical systems.
Limitations is not specified.
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