Invited Talk by G. Volpe at Complex Lagrangian Problems of Particles in Flows, 15 March 2022

An illustration of anomalous diffusion. (Image by Gorka Muñoz-Gil.)
The Anomalous Diffusion Challenge: Objective comparison of methods to decode anomalous diffusion
Giovanni Volpe
Complex Lagrangian Problems of Particles in Flows
Online, 15 March 2022, 10:15 CET

Deviations from Brownian motion leading to anomalous diffusion are found in transport dynamics from quantum physics to life sciences. The characterization of anomalous diffusion from the measurement of an individual trajectory is a challenging task, which traditionally relies on calculating the trajectory mean squared displacement. However, this approach breaks down for cases of practical interest, e.g., short or noisy trajectories, heterogeneous behaviour, or non-ergodic processes. Recently, several new approaches have been proposed, mostly building on the ongoing machine-learning revolution. To perform an objective comparison of methods, we gathered the community and organized an open competition, the Anomalous Diffusion challenge (AnDi). Participating teams applied their algorithms to a commonly-defined dataset including diverse conditions. Although no single method performed best across all scenarios, machine-learning-based approaches achieved superior performance for all tasks. The discussion of the challenge results provides practical advice for users and a benchmark for developers.

Complex Lagrangian Problems of Particles in Flows program

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