Objective comparison of methods to decode anomalous diffusion

Deviations from Brownian motion leading to anomalous diffusion are ubiquitously found in transport dynamics, playing a crucial role in phenomena from quantum physics to life sciences. The detection and characterization of anomalous diffusion from the measurement of an individual trajectory are chall...

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Published in:arXiv.org 2021-05
Main Authors: Muñoz-Gil, Gorka, Volpe, Giovanni, Garcia-March, Miguel Angel, Aghion, Erez, Argun, Aykut, Chang, Beom Hong, Bland, Tom, Bo, Stefano, Conejero, J Alberto, Firbas, Nicolás, Òscar Garibo i Orts, Gentili, Alessia, Huang, Zihan, Jae-Hyung Jeon, Kabbech, Hélène, Kim, Yeongjin, Kowalek, Patrycja, Krapf, Diego, Loch-Olszewska, Hanna, Lomholt, Michael A, Masson, Jean-Baptiste, Meyer, Philipp G, Park, Seongyu, Requena, Borja, Smal, Ihor, Song, Taegeun, Szwabiński, Janusz, Thapa, Samudrajit, Verdier, Hippolyte, Volpe, Giorgio, Widera, Arthur, Lewenstein, Maciej, Metzler, Ralf, Manzo, Carlo
Format: Article
Language:English
Subjects:
Algorithms
Brownian motion
Diffusion
Ergodic processes
Machine learning
Quantum theory
Online Access:Get full text
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Summary:Deviations from Brownian motion leading to anomalous diffusion are ubiquitously found in transport dynamics, playing a crucial role in phenomena from quantum physics to life sciences. The detection and characterization of anomalous diffusion from the measurement of an individual trajectory are challenging tasks, which traditionally rely on calculating the mean squared displacement of the trajectory. However, this approach breaks down for cases of important practical interest, e.g., short or noisy trajectories, ensembles of heterogeneous trajectories, or non-ergodic processes. Recently, several new approaches have been proposed, mostly building on the ongoing machine-learning revolution. Aiming to perform an objective comparison of methods, we gathered the community and organized an open competition, the Anomalous Diffusion challenge (AnDi). Participating teams independently applied their own algorithms to a commonly-defined dataset including diverse conditions. Although no single method performed best across all scenarios, the results revealed clear differences between the various approaches, providing practical advice for users and a benchmark for developers.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.06766