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Benchmarks robust equation discovery from noisy data via synthetic ODE/PDE datasets and automated method comparison

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DS2025_diff

The repository consists of several files that can be used to evaluate the contribution of different differentiation methods to the search for equations using EPDE. Each folder contains all the necessary files for

  1. Generating data for each equation with the addition of different noise levels. In total, the following equations are proposed: Wave equation, KdV equation, Laplace equation, Burgers equation, and ODE equation;
  2. Differentiation of data by all methods available in EPDE and calculation of differentiation errors;
  3. Searching for equations using EPDE and SINDy for comparison, examining the structure of the obtained equations by calculating the Hamming distance

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Benchmarks robust equation discovery from noisy data via synthetic ODE/PDE datasets and automated method comparison

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