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One abstract method for the study of network transportation is proposed in this paper. By interpolating the properties of the edges that constitute network into the two leading parameters of the nodes, this method can abstract the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Chang Yun-Feng , Xu Cai

Capturing data from dynamic processes through cross-sectional measurements is seen in many fields, such as computational biology. Trajectory inference deals with the challenge of reconstructing continuous processes from such observations.…

Machine Learning · Computer Science 2025-03-12 Amartya Banerjee , Harlin Lee , Nir Sharon , Caroline Moosmüller

With the recent development of localization and tracking systems for both indoor and outdoor settings, we consider the problem of sensing, representing and analyzing human movement trajectories that we expect to gather in the near future.…

Networking and Internet Architecture · Computer Science 2017-08-31 Xiaotian Yin , Yu-Yao Lin , Chien-Chun Ni , Jiaxin Ding , Wei Han , Dengpan Zhou , Jie Gao , Xianfeng Gu

Accurately identifying white matter tracts in medical images is essential for various applications, including surgery planning and tract-specific analysis. Supervised machine learning models have reached state-of-the-art solving this task…

Image and Video Processing · Electrical Eng. & Systems 2023-08-04 Robin Peretzke , Klaus Maier-Hein , Jonas Bohn , Yannick Kirchhoff , Saikat Roy , Sabrina Oberli-Palma , Daniela Becker , Pavlina Lenga , Peter Neher

Maximum entropy estimation is of broad interest for inferring properties of systems across many different disciplines. In this work, we significantly extend a technique we previously introduced for estimating the maximum entropy of a set of…

Data Analysis, Statistics and Probability · Physics 2016-01-05 Elliot A. Martin , Jaroslav Hlinka , Alexander Meinke , Filip Děchtěrenko , Jörn Davidsen

We propose two strategies to improve the quality of tractography results computed from diffusion weighted magnetic resonance imaging (DW-MRI) data. Both methods are based on the same PDE framework, defined in the coupled space of positions…

Computer Vision and Pattern Recognition · Computer Science 2017-02-08 J. M. Portegies , R. H. J. Fick , G. R. Sanguinetti , S. P. L. Meesters , G. Girard , R. Duits

White Matter Tract Segmentation is imperative for studying brain structural connectivity, neurological disorders and neurosurgery. This task remains complex, as tracts differ among themselves, across subjects and conditions, yet have…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Anoushkrit Goel , Simroop Singh , Ankita Joshi , Ranjeet Ranjan Jha , Chirag Ahuja , Aditya Nigam , Arnav Bhavsar

This works explores and illustrates recent results developed by the author in field of dynamical network analysis. The considered approach is blind, i.e., no a priori assumptions on the interconnected systems are available. Moreover, the…

Systems and Control · Computer Science 2015-03-19 Giacomo Innocenti

Entropy rate of sequential data-streams naturally quantifies the complexity of the generative process. Thus entropy rate fluctuations could be used as a tool to recognize dynamical perturbations in signal sources, and could potentially be…

Information Theory · Computer Science 2014-03-24 Ishanu Chattopadhyay , Hod Lipson

Cognition is supported by neurophysiological processes that occur both in local anatomical neighborhoods and in distributed large-scale circuits. Recent evidence from network control theory suggests that white matter pathways linking…

Neurons and Cognition · Quantitative Biology 2016-06-30 John D. Medaglia , Shi Gu , Fabio Pasqualetti , Rebecca L. Ashare , Caryn Lerman , Joseph Kable , Danielle S. Bassett

Volumetric brain reconstructions provide an unprecedented opportunity to gain insights into the complex connectivity patterns of neurons in an increasing number of organisms. Here, we model and quantify the complexity of the resulting…

Neurons and Cognition · Quantitative Biology 2024-05-13 Anastasiya Salova , István A. Kovács

The properties of complex networked systems arise from the interplay between the dynamics of their elements and the underlying topology. Thus, to understand their behaviour, it is crucial to convene as much information as possible about…

Neurons and Cognition · Quantitative Biology 2024-06-18 Gustavo Menesse , Akke Mats Houben , Jordi Soriano , Joaquin J. Torres

Plasticity is one of the most important properties of the nervous system, which enables animals to adjust their behavior to the ever-changing external environment. Changes in synaptic efficacy between neurons constitute one of the major…

Neurons and Cognition · Quantitative Biology 2018-01-23 Taishi Iwasaki , Hideitsu Hino , Masami Tatsuno , Shotaro Akaho , Noboru Murata

Directionality is a fundamental feature of network connections. Most structural brain networks are intrinsically directed because of the nature of chemical synapses, which comprise most neuronal connections. Due to limitations of…

Neurons and Cognition · Quantitative Biology 2018-01-19 Penelope Kale , Andrew Zalesky , Leonardo L. Gollo

The information diffusion prediction on social networks aims to predict future recipients of a message, with practical applications in marketing and social media. While different prediction models all claim to perform well, general…

Social and Information Networks · Computer Science 2025-01-16 Wenjin Xie , Xiaomeng Wang , Radosław Michalski , Tao Jia

Network tomography is a crucial problem in network monitoring, where the observable path performance metric values are used to infer the unobserved ones, making it essential for tasks such as route selection, fault diagnosis, and traffic…

Machine Learning · Computer Science 2025-02-25 Yuntong Hu , Junxiang Wang , Liang Zhao

Complex systems in the real world can be modeled as a network of connected components. The human brain, as a network of neurons among which the interactions cause perception, is a complex network. Synchronization is a dynamical phenomenon…

Biological Physics · Physics 2019-04-30 Arefeh Mazarei , Mohammad Amirian Matlob , Gholamhossein Riazi , Yousef Jamali

Traditional Topological Data Analysis (TDA) methods, such as Persistent Homology (PH), rely on distance measures (e.g., cross-correlation, partial correlation, coherence, and partial coherence) that are symmetric by definition. While useful…

Neurons and Cognition · Quantitative Biology 2024-07-19 Anass B. El-Yaagoubi , Moo K. Chung , Hernando Ombao

Social and biological contagions are influenced by the spatial embeddedness of networks. Historically, many epidemics spread as a wave across part of the Earth's surface; however, in modern contagions long-range edges -- for example, due to…

Adaptation and Self-Organizing Systems · Physics 2015-07-31 Dane Taylor , Florian Klimm , Heather A. Harrington , Miroslav Kramar , Konstantin Mischaikow , Mason A. Porter , Peter J. Mucha

This work presents a new method to quantify connectivity in transportation networks. Inspired by the field of topological data analysis, we propose a novel approach to explore the robustness of road network connectivity in the presence of…