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Image Credit: Arxiv

Identifying Unknown Stochastic Dynamics via Finite expression methods

  • Modeling stochastic differential equations (SDEs) is crucial for understanding complex dynamical systems in various scientific fields.
  • The Finite Expression Method (FEX) is introduced as a symbolic learning approach to derive interpretable mathematical representations of the deterministic component of SDEs.
  • FEX integrates with generative modeling techniques to provide a comprehensive representation of SDEs, improving long-term predictions and generalization beyond training domain.
  • FEX not only enhances prediction accuracy but also offers valuable scientific insights into the underlying dynamics of the systems, opening new possibilities for new discoveries.

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