Výsledky vyhledávání - "Lie symmetrie"

Emergence of Lie Symmetries in Functional Architectures Learned by CNNs

Autor: Giovanna Citti, Federico Bertoni, Noemi Montobbio, Alessandro Sarti

Publikováno v: Frontiers in Computational Neuroscience
Frontiers in Computational Neuroscience, Frontiers, 2021, 15, ⟨10.3389/fncom.2021.694505⟩
Frontiers in Computational Neuroscience, Vol 15 (2021)

In this paper we study the spontaneous development of symmetries in the early layers of a Convolutional Neural Network (CNN) during learning on natural images. Our architecture is built in such a way to mimic some properties of the early stages of bi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5a9bb804884d14824548f542d372759
https://hal.sorbonne-universite.fr/hal-03449128/document

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Differential equations invariant under conditional symmetries

Autor: Miguel A. Rodríguez, Decio Levi, Zora Thomova

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

Nonlinear PDE's having {\bf given} conditional symmetries are constructed. They are obtained starting from the invariants of the "conditional symmetry" generator and imposing the extra condition given by the characteristic of the symmetry. Several of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f1efac04541bc600bba0ec7b1bbebb20

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ON PARTIAL DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH SYMMETRIES DEPENDING ON ARBITRARY FUNCTIONS

Autor: Giorgio Gubbiotti, Christian Scimiterna, Decio Levi

Publikováno v: Acta Polytechnica, Vol 56, Iss 3, Pp 193-201 (2016)

In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this happens. Moreover we show that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05e130ca4ad1bea75c2150b7c7f0d2ca
https://ojs.cvut.cz/ojs/index.php/ap/article/view/3411

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On the correspondence between differential equations and symmetry algebras

Autor: Gianni Manno, Francesco Oliveri, Raffaele Vitolo

Within the framework of inverse Lie problems we give some non-trivial examples of Lie remarkable equations, i.e., classes of partial differential equations that are in correspondence with their Lie point symmetries.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ded67d5daf39a6ecac4c95a1f6cb984d
https://hdl.handle.net/11587/117922

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