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learn-levy

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"An end-to-end deep learning approach for extracting stochastic dynamical systems with α-stable Lévy noise"

python packages version:

numpy == 1.20.3; pytorch == 1.9.0; tensorflow == 2.5.0; tensorflow-probability == 0.12.2

SDE: dX_t = f(X_t)dt + g(X_t)dL_t^{\alpha}

File naming conventions: dimension-Levy-(alpha value)-drift-diffusion

alpha estimation refers to "Parameter estimation of Alpha-Stable Distributions Based on MCMC" DOI: 10.1109/ICACC.2011.6016424

Karmers-Moyal method with memont generating function can be found in https://github.com/liyangnuaa/Extracting-stochastic-dynamical-systems-with-alpha--stable-L-evy-noise-from-data/tree/main.

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