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Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed ...
S. E. Rodabaugh
semanticscholar   +4 more sources

Properads in Algebra, Topology, Geometry and Mathematical Physics [PDF]

open access: green, 2009
Ce mémoire contient un résumé de mes travaux sur le thème des propérades et de leurs applications en algèbre, topologie, géométrie et physique mathématique.
Bruno Vallette
openalex   +3 more sources

Experimental Observations of the Topology of Convolutional Neural Network Activations [PDF]

open access: yesAAAI Conference on Artificial Intelligence, 2022
Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures.
Emilie Purvine   +8 more
semanticscholar   +1 more source

Algebraic Structure Graphs over the Commutative Ring Zm: Exploring Topological Indices and Entropies Using M-Polynomials

open access: yesMathematics, 2023
The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali   +5 more
semanticscholar   +1 more source

Algebraic topology

open access: yesGraduate Studies in Mathematics, 2020
This lecture covers several basic methods for standard tasks in data analysis and image processing. A non-exclusive and non-exhaustive list of meth-ods: histograms, dimension reduction, clustering, filters, frequency analysis, morphological methods ...
Claudia Scheimbauer
semanticscholar   +1 more source

Unveiling the molecular mechanism of SARS-CoV-2 main protease inhibition from 137 crystal structures using algebraic topology and deep learning

open access: yesChemical Science, 2020
Currently, there is neither effective antiviral drugs nor vaccine for coronavirus disease 2019 (COVID-19) caused by acute respiratory syndrome coronavirus 2 (SARS-CoV-2).
D. Nguyen   +4 more
semanticscholar   +1 more source

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