A Mathematical Framework for Enriching Human–Machine Interactions

Autor: Andrée C. Ehresmann, Mathias Béjean, Jean-Paul Vanbremeersch

Publikováno v: Machine Learning and Knowledge Extraction, Vol 5, Iss 2, Pp 597-610 (2023)

This paper presents a conceptual mathematical framework for developing rich human–machine interactions in order to improve decision-making in a social organisation, S. The idea is to model how S can create a “multi-level artificial cognitive syst

Externí odkaz: https://doaj.org/article/d86c0ed17ae54e28af73b9711e3c3879

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Interfacing biology, category theory and mathematical statistics

Autor: Andrée C. Ehresmann, Erwan Beurier, Dominique Pastor, Roger Waldeck

Publikováno v: ACT 2019: Applied Category Theory Conference
ACT 2019: Applied Category Theory Conference, Jul 2019, Oxford, United Kingdom
ACT
Electronic Proceedings in Theoretical Computer Science
ACT 2019: Applied Category Theory 2019
Electronic Proceedings in Theoretical Computer Science, EPTCS, 2020, Proceeding of the international conference Applied Category Theory 2019, ⟨10.4204/EPTCS.323.9⟩

Motivated by the concept of degeneracy in biology (Edelman, Gally 2001), we establish a first connection between the Multiplicity Principle (Ehresmann, Vanbremeersch 2007) and mathematical statistics. Specifically, we exhibit two families of statisti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b98c9516d12443d02c37a8a1256ca4a

Groupoids and Wreath Products of Musical Transformations: a Categorical Approach from poly-Klumpenhouwer Networks

Autor: Alexandre Popoff, Moreno Andreatta, Andrée C. Ehresmann

Publikováno v: Proceedings MCM 2019
Mathematics and Computation in Music
Mathematics and Computation in Music, Jun 2019, Madrid, Spain. pp.33-45, ⟨10.1007/978-3-030-21392-3_3⟩
Mathematics and Computation in Music ISBN: 9783030213916
MCM

Transformational music theory, pioneered by the work of Lewin, shifts the music-theoretical and analytical focus from the "object-oriented" musical content to an operational musical process, in which transformations between musical elements are empha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b88d4829cadcccccf1b52efe4d694921

Some resonances between Eastern thought and Integral Biomathics in the framework of the WLIMES formalism for modeling living systems

Autor: Plamen L. Simeonov, Andrée C. Ehresmann

Publikováno v: Progress in biophysics and molecular biology. 131

Forty-two years ago, Capra published "The Tao of Physics" (Capra, 1975). In this book (page 17) he writes: "The exploration of the atomic and subatomic world in the twentieth century has …. necessitated a radical revision of many of our basic conce

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fb1008b62371612f5b482c76a5d3560
https://pubmed.ncbi.nlm.nih.gov/28603061