Properads in Algebra, Topology, Geometry and Mathematical Physics [PDF]
, 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
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J. F. Adams, Algebraic Topology—A Student's Guide (London Mathematical Society Lecture Note Series 4, Cambridge University Press, 1972), vi+300 pp. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1973 M. J. Tomkinson
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Proceedings of the Edinburgh Mathematical Society, 2003 Sergei Merkulov
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Experimental Observations of the Topology of Convolutional Neural Network Activations [PDF]
AAAI 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
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M. Karoubi and C. Leruste, Algebraic topology via differential geometry (London Mathematical Society Lecture Note Series 99, Cambridge University Press1987) 363 pp. 0 521 31714 2, £15.(Originally published in French as Méthodes de géométrie différentielle en topologie algébrique, Paris 1982.) [PDF]
Proceedings of the Edinburgh Mathematical Society, 1989 J. W. Bruce
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Mathematics, 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
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Graduate 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
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Chemical 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
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A Distributed Combinatorial Topology Approach to Arrow's Impossibility Theorem
ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, 2022 Baryshnikov presented a remarkable algebraic topology proof of Arrow's impossibility theorem trying to understand the underlying reason behind the numerous proofs of this fundamental result of social choice theory.
S. Rajsbaum, A. Raventós-Pujol
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Mathematical Methods in the Applied Sciences, EarlyView., 2022 This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
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