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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…

Statistical Mechanics · Physics 2021-08-11 Aykut Argun , Giovanni Volpe , Stefano Bo

Anomalous diffusion occurs in a wide range of systems, including protein transport within cells, animal movement in complex habitats, pollutant dispersion in groundwater, and nanoparticle motion in synthetic materials. Accurately estimating…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Yusef Ahsini , Marc Escoto , J. Alberto Conejero

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…

Machine Learning · Computer Science 2021-08-09 Òscar Garibo i Orts , Miguel A. Garcia-March , J. Alberto Conejero

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…

Data Analysis, Statistics and Probability · Physics 2021-06-21 Alessia Gentili , Giorgio 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…

Machine Learning · Computer Science 2021-09-21 Dezhong Li , Qiujin Yao , 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…

Data Analysis, Statistics and Probability · Physics 2025-08-29 Carlo Manzo

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…

Data Analysis, Statistics and Probability · Physics 2025-02-27 Solomon Asghar , Ran Ni , Giorgio Volpe

While deep learning has been successfully applied to the data-driven classification of anomalous diffusion mechanisms, how the algorithm achieves the feat still remains a mystery. In this study, we use a well-known technique aimed at…

Machine Learning · Computer Science 2024-10-23 Jaeyong Bae , Yongjoo Baek , Hawoong Jeong

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…

Quantitative Methods · Quantitative Biology 2023-03-07 Patrycja Kowalek , Hanna Loch-Olszewska , Łukasz Łaszczuk , Jarosław Opała , Janusz Szwabiński

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…

Statistical Mechanics · Physics 2024-10-21 Henrik Seckler , Ralf Metzler

The results of the Anomalous Diffusion Challenge (AnDi Challenge) have shown that machine learning methods can outperform classical statistical methodology at the characterization of anomalous diffusion in both the inference of the…

Machine Learning · Computer Science 2023-01-18 Nicolás Firbas , Òscar Garibo-i-Orts , Miguel Ángel Garcia-March , J. Alberto Conejero

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…

Statistical Mechanics · Physics 2025-11-14 Alvaro Lanza , Xiang Qu , Stefano Bo

Deep generative models have emerged as promising tools for detecting arbitrary anomalies in data, dispensing with the necessity for manual labelling. Recently, autoregressive transformers have achieved state-of-the-art performance for…

Anomaly detection (AD) plays a pivotal role across diverse domains, including cybersecurity, finance, healthcare, and industrial manufacturing, by identifying unexpected patterns that deviate from established norms in real-world data.…

Machine Learning · Computer Science 2025-06-12 Yang Liu , Jing Liu , Chengfang Li , Rui Xi , Wenchao Li , Liang Cao , Jin Wang , Laurence T. Yang , Junsong Yuan , Wei Zhou

Diffusion models (DMs) have emerged as a powerful class of generative AI models, showing remarkable potential in anomaly detection (AD) tasks across various domains, such as cybersecurity, fraud detection, healthcare, and manufacturing. The…

Machine Learning · Computer Science 2025-02-28 Jing Liu , Zhenchao Ma , Zepu Wang , Chenxuanyin Zou , Jiayang Ren , Zehua Wang , Liang Song , Bo Hu , Yang Liu , Victor C. M. Leung

Early detection of anomalies in medical images such as brain MRI is highly relevant for diagnosis and treatment of many conditions. Supervised machine learning methods are limited to a small number of pathologies where there is good…

Computer Vision and Pattern Recognition · Computer Science 2023-12-05 Alexander Frotscher , Jaivardhan Kapoor , Thomas Wolfers , Christian F. Baumgartner

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…

Statistical Mechanics · Physics 2019-07-24 Stefano Bo , Falko Schmidt , Ralf Eichhorn , Giovanni Volpe

Graph anomaly detection (GAD) aims to identify nodes or substructures whose behavior or attributes deviate significantly from the overall pattern in graph-structured data, with critical applications in financial risk control, social network…

Machine Learning · Computer Science 2026-05-27 Yuxin Yang , Limei Hu , Feng Chen

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…

Reconstruction-based approaches have achieved remarkable outcomes in anomaly detection. The exceptional image reconstruction capabilities of recently popular diffusion models have sparked research efforts to utilize them for enhanced…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Haoyang He , Jiangning Zhang , Hongxu Chen , Xuhai Chen , Zhishan Li , Xu Chen , Yabiao Wang , Chengjie Wang , Lei Xie
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