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Anomalous diffusion occurs at very different scales in nature, from atomic systems to motions in cell organelles, biological tissues or ecology, and also in artificial materials, such as cement. Being able to accurately measure the…

机器学习 · 计算机科学 2021-08-09 Òscar Garibo i Orts , Miguel A. Garcia-March , J. Alberto Conejero

Biophysical processes within living systems rely on encounters and interactions between molecules in complex environments such as cells. They are often described by anomalous diffusion transport. Recent advances in single-molecule…

数据分析、统计与概率 · 物理学 2025-02-27 Solomon Asghar , Ran Ni , Giorgio Volpe

When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

统计力学 · 物理学 2024-10-21 Henrik Seckler , Ralf Metzler

Anomalous diffusion occurs in many physical and biological phenomena, when the growth of the mean squared displacement (MSD) with time has an exponent different from one. We show that recurrent neural networks (RNN) can efficiently…

统计力学 · 物理学 2019-07-24 Stefano Bo , Falko Schmidt , Ralf Eichhorn , Giovanni Volpe

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…

机器学习 · 计算机科学 2021-09-21 Dezhong Li , Qiujin Yao , Zihan Huang

Heterogeneous dynamics commonly emerges in anomalous diffusion with intermittent transitions of diffusion states but proves challenging to identify using conventional statistical methods. To effectively capture these transient changes of…

生物物理 · 物理学 2024-01-24 Xiang Qu , Yi Hu , Wenjie Cai , Yang Xu , Hu Ke , Guolong Zhu , Zihan Huang

Countless systems in biology, physics, and finance undergo diffusive dynamics. Many of these systems, including biomolecules inside cells, active matter systems and foraging animals, exhibit anomalous dynamics where the growth of the mean…

统计力学 · 物理学 2021-08-11 Aykut Argun , Giovanni Volpe , Stefano Bo

A recent endeavor in one class of video anomaly detection is to leverage diffusion models and posit the task as a generation problem, where the diffusion model is trained to recover normal patterns exclusively, thus reporting abnormal…

计算机视觉与模式识别 · 计算机科学 2024-12-13 Hang Zhou , Jiale Cai , Yuteng Ye , Yonghui Feng , Chenxing Gao , Junqing Yu , Zikai Song , Wei Yang

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…

机器学习 · 计算机科学 2025-04-01 Wenjie Cai , Yi Hu , Xiang Qu , Hui Zhao , Gongyi Wang , Jing Li , Zihan Huang

The study of the dynamics of natural and artificial systems has provided several examples of deviations from Brownian behavior, generally defined as anomalous diffusion. The investigation of these dynamics can provide a better understanding…

数据分析、统计与概率 · 物理学 2025-08-29 Carlo Manzo

Anomalous-diffusion, the departure of the spreading dynamics of diffusing particles from the traditional law of Brownian-motion, is a signature feature of a large number of complex soft-matter and biological systems. Anomalous-diffusion…

Diffusion processes are important in several physical, chemical, biological and human phenomena. Examples include molecular encounters in reactions, cellular signalling, the foraging of animals, the spread of diseases, as well as trends in…

数据分析、统计与概率 · 物理学 2021-06-21 Alessia Gentili , Giorgio Volpe

Anomaly detection is a fundamental task in machine learning and data mining, with significant applications in cybersecurity, industrial fault diagnosis, and clinical disease monitoring. Traditional methods, such as statistical modeling and…

机器学习 · 计算机科学 2025-05-09 Yi Chen

The deviation from pure Brownian motion generally referred to as anomalous diffusion has received large attention in the scientific literature to describe many physical scenarios. Several methods, based on classical statistics and machine…

This paper investigates the performance of diffusion models for video anomaly detection (VAD) within the most challenging but also the most operational scenario in which the data annotations are not used. As being sparse, diverse,…

计算机视觉与模式识别 · 计算机科学 2023-07-04 Anil Osman Tur , Nicola Dall'Asen , Cigdem Beyan , Elisa Ricci

Diffusive dynamics abound in nature and have been especially studied in physical, biological, and financial systems. These dynamics are characterised by a linear growth of the mean squared displacement (MSD) with time. Often, the conditions…

统计力学 · 物理学 2025-11-14 Alvaro Lanza , Xiang Qu , Stefano Bo

Given trajectory data, a domain-specific study area, and a user-defined threshold, we aim to find anomalous trajectories indicative of possible GPS spoofing (e.g., fake trajectory). The problem is societally important to curb illegal…

机器学习 · 计算机科学 2025-06-17 Arun Sharma , Mingzhou Yang , Majid Farhadloo , Subhankar Ghosh , Bharat Jayaprakash , Shashi Shekhar

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…

Change point detection has become an important part of the analysis of the single-particle tracking data, as it allows one to identify moments, in which the motion patterns of observed particles undergo significant changes. The segmentation…

定量方法 · 定量生物学 2025-06-23 Jakub Malinowski , Marcin Kostrzewa , Michał Balcerek , Weronika Tomczuk , Janusz Szwabiński

Understanding and identifying different types of single molecules' diffusion that occur in a broad range of systems (including living matter) is extremely important, as it can provide information on the physical and chemical characteristics…

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