Results 1 to 10 of about 27,036 (110)

Functional Connectivity Changes of Anti‐N‐Methyl‐D‐Aspartate Receptor Encephalitis: A Graph‐Theoretic and Topology‐Based Study [PDF]

Brain and Behavior
Introduction Anti‐N‐methyl‐D‐aspartate receptor (anti‐NMDAR) encephalitis is a type of autoimmune disorder manifesting in neurologic, cognitive, and psychological abnormalities, yet its neurological basis remains obscure.
Rui Qian, Rong Guo, Yifei Li, Chenglong Li, Ling Wei, Juanjuan Zhang, Yuanyuan Guo, Yanghua Tian   +7 more
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Impaired Topological Architecture of Structural Brain Networks in Obstructive Sleep Apnea: A DTI Study [PDF]

Nature and Science of Sleep
Yiwei Zhao,1,2,* Xuerong Shi,3,* Guo Shen,2,4,* Huiyan Zhang,2,4 Yanan Xu,1,2 Jing Gao,1,2 Ziyang Zhao,3 Miao Chen,3 Wenwen Zhang,2 Gang Huang,2 Zhijun Yao,3 Lianping Zhao2 1The First Clinical Medical College, Gansu University of ...
Zhao Y, Shi X, Shen G, Zhang H, Xu Y, Gao J, Zhao Z, Chen M, Zhang W, Huang G, Yao Z, Zhao L   +11 more
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Algorithmic Graph Theory, Reinforcement Learning and Game Theory in MD Simulations: From 3D Structures to Topological 2D-Molecular Graphs (2D-MolGraphs) and Vice Versa

Molecules, 2023
This paper reviews graph-theory-based methods that were recently developed in our group for post-processing molecular dynamics trajectories. We show that the use of algorithmic graph theory not only provides a direct and fast methodology to identify ...
Sana Bougueroua, Marie Bricage, Ylène Aboulfath, Dominique Barth, Marie-Pierre Gaigeot   +4 more
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Towards glueball masses of large-N SU(N) pure-gauge theories without topological freezing

Physics Letters B, 2022
In commonly used Monte Carlo algorithms for lattice gauge theories the integrated autocorrelation time of the topological charge is known to be exponentially-growing as the continuum limit is approached.
Claudio Bonanno, Massimo D'Elia, Biagio Lucini, Davide Vadacchino   +3 more
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Generalized Permutants and Graph GENEOs

Machine Learning and Knowledge Extraction, 2023
This paper is part of a line of research devoted to developing a compositional and geometric theory of Group Equivariant Non-Expansive Operators (GENEOs) for Geometric Deep Learning. It has two objectives. The first objective is to generalize the notions
Faraz Ahmad, Massimo Ferri, Patrizio Frosini   +2 more
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Minimum spanning tree analysis for epilepsy magnetoencephalography (MEG) data

Exploration of Neuroprotective Therapy, 2023
Aim: Recently, brain network research is actively conducted through the application of graph theory. However, comparison between brain networks is subject to bias issues due to topological characteristics and heterogeneity across subjects.
Sunhan Shin, Chun Kee Chung, Jaehee Kim
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Merging of degree and index theory

Fixed Point Theory and Applications, 2006
The topological approaches to find solutions of a coincidence equation f1(x)=f2(x) can roughly be divided into degree and index theories. We describe how these methods can be combined.
Martin Väth
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Countably Generated Algebras of Analytic Functions on Banach Spaces

Axioms, 2023
In the paper, we study various countably generated algebras of entire analytic functions on complex Banach spaces and their homomorphisms. Countably generated algebras often appear as algebras of symmetric analytic functions on Banach spaces with respect
Zoriana Novosad, Svitlana Vasylyshyn, Andriy Zagorodnyuk   +2 more
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Aberrant single-subject morphological cerebellar connectome in chronic insomnia

NeuroImage: Clinical, 2023
Background: To systematically investigate the topological organisation of morphological networks of the cerebellum using structural MRI and examine their clinical relevance in chronic insomnia (CI).
Yuqin Ma, Shishun Fu, Xi Ye, Yuping Yang, Yi Yin, Guang Xu, Mengchen Liu, Guihua Jiang   +7 more
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Generating functions for intersection products of divisors in resolved F-theory models

Nuclear Physics B, 2023
Building on the approach of 1703.00905, we present an efficient algorithm for computing topological intersection numbers of divisors in a broad class of elliptic fibrations with the aid of a symbolic computing tool.
Patrick Jefferson, Andrew P. Turner
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