WaveNet-based deep neural networks for the characterization of anomalous diffusion (WADNet). (14th September 2021)

• Record Type: Journal Article
• Authors: Li, Dezhong; Yao, Qiujin; Huang, Zihan
• Is Part Of: Journal of physics. Volume 54:Number 40(2021)
• Publication Date: 2021-09-14
• Subjects: anomalous diffusion -- single trajectory characterization -- anomalous diffusion challenge -- machine learning -- deep neural network -- WaveNet; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ac219c
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Anomalous diffusion, which shows a deviation of transport dynamics from the framework of standard Brownian motion, is involved in the evolution of various physical, chemical, biological, and economic systems. The study of such random processes is of fundamental importance in unveiling the physical properties of random walkers and complex systems. However, classical methods to characterize anomalous diffusion are often disqualified for individual short trajectories, leading to the launch of the anomalous diffusion (AnDi) challenge. This challenge aims at objectively assessing and comparing new approaches for single trajectory characterization, with respect to three different aspects: the inference of the anomalous diffusion exponent; the classification of the diffusion model; and the segmentation of trajectories. In this article, to address the inference and classification tasks in the challenge, we develop a WaveNet-based deep neural network (WADNet) by combining a modified WaveNet encoder with long short-term memory networks, without any prior knowledge of anomalous diffusion. As the performance of our model has surpassed the current 1st places in the challenge leaderboard on both two tasks for all dimensions (6 subtasks), WADNet could be part of state-of-the-art techniques to decode the AnDi database. Our method presents a benchmark for future research, and could accelerate the development of a versatile tool for the characterization of anomalous diffusion.