Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Stephane Puechmorel"'
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1177 (2024)
The gauge equation is a generalization of the conjugacy relation for the Koszul connection to bundle morphisms that are not isomorphisms. The existence of nontrivial solution to this equation, especially when duality is imposed upon related connectio
Externí odkaz:
https://doaj.org/article/e1f6b13f17a14f9f968de969d7c03877
Autor:
Daniel Delahaye, Stéphane Puechmorel
This book combines the research activities of the authors, both of whom are researchers at Ecole Nationale de l'Aviation Civile (French National School of Civil Aviation), and presents their findings from the last 15 years. Their work uses air transp
Autor:
Stéphane Puechmorel
Publikováno v:
Entropy, Vol 25, Iss 10, p 1450 (2023)
Explainable Artificial Intelligence (XAI) and acceptable artificial intelligence are active topics of research in machine learning. For critical applications, being able to prove or at least to ensure with a high probability the correctness of algori
Externí odkaz:
https://doaj.org/article/1898a4c1bafc440393428b7e5c3a7a17
Autor:
Emmanuel Gnandi, Stéphane Puechmorel
Publikováno v:
Mathematics, Vol 10, Iss 20, p 3822 (2022)
A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined. In this work, we give cond
Externí odkaz:
https://doaj.org/article/026f3b452bc84644803958ffc187487f
Autor:
Goos, G., Hartmanis, J., van Leeuwen, J., Schoenauer, Marc, Deb, Kalyanmoy, Rudolph, Günther, Yao, Xin, Lutton, Evelyne, Merelo, Juan Julian, Schwefel, Hans-Paul, Daniel, Delahaye, Stephane, Puechmorel
Publikováno v:
Parallel Problem Solving from Nature PPSN VI; 2000, p777-786, 10p
Autor:
Stéphane Puechmorel
Publikováno v:
Mathematics, Vol 8, Iss 11, p 2079 (2020)
Let (M,g) be a Riemannian manifold equipped with a pair of dual connections (∇,∇*). Such a structure is known as a statistical manifold since it was defined in the context of information geometry. This paper aims at defining the complete lift of
Externí odkaz:
https://doaj.org/article/ceb2208d3bc243f4a8a395aa5983e196
Publikováno v:
Mathematics, Vol 7, Iss 8, p 674 (2019)
The Fisher information metric provides a smooth family of probability measures with a Riemannian manifold structure, which is an object in information geometry. The information geometry of the gamma manifold associated with the family of gamma distri
Externí odkaz:
https://doaj.org/article/2522a2a562064d6586892a04ef08f917
Autor:
Alice le Brigant, Stéphane Puechmorel
Publikováno v:
Entropy, Vol 21, Iss 1, p 43 (2019)
Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics. Many procedures were designed for that purpose when the underlying space is a finite dimensional Euclidea
Externí odkaz:
https://doaj.org/article/11535a1a38e24943974eaee20d44cbca
Publikováno v:
Mathematical and Computational Applications, Vol 23, Iss 3, p 48 (2018)
Planning conflict-free trajectories is a long-standing problem in Air Traffic Management. Navigation functions designed specifically to produce flyable trajectories have been previously considered, but lack the robustness to uncertain weather conditi
Externí odkaz:
https://doaj.org/article/53f3f8f2f78543c38cfcba2ab8219b5e
Publikováno v:
Entropy, Vol 20, Iss 9, p 647 (2018)
In this paper, the problem of clustering rotationally invariant shapes is studied and a solution using Information Geometry tools is provided. Landmarks of a complex shape are defined as probability densities in a statistical manifold. Then, in the s
Externí odkaz:
https://doaj.org/article/eba7033ad3de45b79ad6a6a48bec6503