A novel approach for discovering stochastic models behind data applied to El Nino-Southern Oscillation.
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ABSTRACT: Stochastic differential equations (SDEs) are ubiquitous across disciplines, and uncovering SDEs driving observed time series data is a key scientific challenge. Most previous work on this topic has relied on restrictive assumptions, undermining the generality of these approaches. We present a novel technique to uncover driving probabilistic models that is based on kernel density estimation. The approach relies on few assumptions, does not restrict underlying functional forms, and can be used even on non-Markov systems. When applied to El Niño-Southern Oscillation (ENSO), the fitted empirical model simulations can almost perfectly capture key time series properties of ENSO. This confirms that ENSO could be represented as a two-variable stochastic dynamical system. Our experiments provide in
SUBMITTER: Olson R
PROVIDER: S-EPMC7846861 | biostudies-literature | 2021 Jan
REPOSITORIES: biostudies-literature
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