arXiv:2412.01393cs.LGcond-mat.soft2024-12被引 11

用机器学习分析异常扩散,提升轨迹特征提取与建模能力

Machine Learning Analysis of Anomalous Diffusion

  • 用机器学习方法识别扩散参数和轨迹分段
  • 对比经典与深度学习在异常扩散分析中的表现
  • 适合物理、生物等领域研究者参考

机器学习的快速发展使其在异常扩散分析中的应用变得必要且不可避免。本文系统介绍了机器学习技术在异常扩散分析中的融合应用,重点关注两个核心方面:基于机器学习的单轨迹表征与异常扩散的表示学习。我们广泛比较了用于扩散参数推断与轨迹分割的多种机器学习方法,涵盖传统机器学习与深度学习。同时,文中也强调了如异常扩散挑战赛(Anomalous Diffusion Challenge)等评估平台的重要性。此外,我们总结了三种主要的异常扩散表示策略:预定义特征组合、神经网络倒数第二层特征向量,以及自编码器的潜在表示,并分析其在不同场景下的适用性。本研究为未来研究提供重要思路,有助于深化异常扩散研究,并推动人工智能在统计物理与生物物理领域的应用。

原文摘要 · Abstract (English)

The rapid advancements in machine learning have made its application to anomalous diffusion analysis both essential and inevitable. This review systematically introduces the integration of machine learning techniques for enhanced analysis of anomalous diffusion, focusing on two pivotal aspects: single trajectory characterization via machine learning and representation learning of anomalous diffusion. We extensively compare various machine learning methods, including both classical machine learning and deep learning, used for the inference of diffusion parameters and trajectory segmentation. Additionally, platforms such as the Anomalous Diffusion Challenge that serve as benchmarks for evaluating these methods are highlighted. On the other hand, we outline three primary strategies for representing anomalous diffusion: the combination of predefined features, the feature vector from the penultimate layer of neural network, and the latent representation from the autoencoder, analyzing their applicability across various scenarios. This investigation paves the way for future research, offering valuable perspectives that can further enrich the study of anomalous diffusion and advance the application of artificial intelligence in statistical physics and biophysics.

异常扩散机器学习轨迹分析生物物理

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