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Exotic PDE's

, 2011
In the framework of the PDE's algebraic topology, previously introduced by A. Pr\'astaro, are considered {\em exotic differential equations}, i.e., differential equations admitting Cauchy manifolds $N$ identifiable with exotic spheres, or such that their
Prástaro, Agostino
core  

PERSISTENT HYPERDIGRAPH HOMOLOGY AND PERSISTENT HYPERDIGRAPH LAPLACIANS. [PDF]

Found Data Sci, 2023
Chen D, Liu J, Wu J, Wei GW.
europepmc   +1 more source

Persistent topological Laplacian analysis of SARS-CoV-2 variants [PDF]

J Comput Biophys Chem, 2023
Wei X, Chen J, Wei G.
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'Holey' niche! finding holes in niche hypervolumes using persistence homology. [PDF]

J Math Biol, 2022
Conceição P, Morimoto J.
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Biomolecular Topology: Modelling and Analysis. [PDF]

Acta Math Sin Engl Ser, 2022
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
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Persistent homology classification algorithm. [PDF]

PeerJ Comput Sci, 2023
De Lara MLD.
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Method for persistent topological features extraction of schizophrenia patients' electroencephalography signal based on persistent homology. [PDF]

Front Comput Neurosci, 2022
Guo G, Zhao Y, Liu C, Fu Y, Xi X, Jin L, Shi D, Wang L, Duan Y, Huang J, Tan S, Yin G.   +11 more
europepmc   +1 more source

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists. [PDF]

Front Artif Intell, 2021
Chazal F, Michel B.
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Hippocampal and medial prefrontal ensemble spiking represents episodes and rules in similar task spaces. [PDF]

Cell Rep, 2023
Srinivasan A, Srinivasan A, Riceberg JS, Goodman MR, Guise KG, Shapiro ML.   +5 more
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Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

Artif Intell Rev
Su Z, Liu X, Hamdan LB, Maroulas V, Wu J, Carlsson G, Wei GW, Wei GW.   +7 more
europepmc   +1 more source