ArticlePloS one2019
Langevin equations from experimental data: The case of rotational diffusion in granular media.
Article in PloS one, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Sparse inference and active learning of stochastic differential equations from data.Scientific reports · 2022Article
- Extracting causation from millennial-scale climate fluctuations in the last 800 kyr.Scientific reports · 2022Article
- A novel approach for discovering stochastic models behind data applied to El Niño-Southern Oscillation.Scientific reports · 2021Article
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3 authors.
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Abstract
A model has two main aims: predicting the behavior of a physical system and understanding its nature, that is how it works, at some desired level of abstraction. A promising recent approach to model building consists in deriving a Langevin-type stochastic equation from a time series of empirical data. Even if the protocol is based upon the introduction of drift and diffusion terms in stochastic differential equations, its implementation involves subtle conceptual problems and, most importantly, requires some prior theoretical knowledge about the system. Here we apply this approach to the data obtained in a rotational granular diffusion experiment, showing the power of this method and the theoretical issues behind its limits. A crucial point emerged in the dense liquid regime, where the data reveal a complex multiscale scenario with at least one fast and one slow variable. Identifying the latter is a major problem within the Langevin derivation procedure and led us to introduce innovative ideas for its solution.
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