继而发生 发表于 2025-3-23 10:26:37

Affine-Invariant Riemannian Distance Between Infinite-Dimensional Covariance Operatorse. This is the generalization of the Riemannian manifold of symmetric, positive definite matrices to the infinite-dimensional setting. In particular, in the case of covariance operators in a Reproducing Kernel Hilbert Space (RKHS), we provide a closed form solution, expressed via the corresponding Gram matrices.

带伤害 发表于 2025-3-23 14:13:29

A Sub-Riemannian Modular Approach for Diffeomorphic Deformationsribe transformations. The method, built on a coherent sub-Riemannian framework, defines a metric on modular deformations and characterises optimal deformations as geodesics for this metric. We will present a generic way to build local affine transformations as deformation modules, and display examples.

mechanism 发表于 2025-3-23 21:54:14

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innate 发表于 2025-3-24 01:05:58

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Connotation 发表于 2025-3-24 05:51:34

Optimal Transport, Independance Versus Indetermination Duality, Impact on a New Copula Designction with the MKP transportation problem (MKP, stands for Monge-Kantorovich Problem). Using the duality between “independance” and “indetermination” structures, shown in this former paper, we are in a position to derive a novel approach to design a copula, suitable and efficient for anomaly detection in IT systems analysis.

手势 发表于 2025-3-24 09:10:19

Barycenter in Wasserstein Spaces: Existence and Consistency on . as its Fréchet mean. The paper establishes its existence and states consistency with respect to .. We thus extends previous results on ., with conditions on . or on the sequence converging to . for consistency.

transdermal 发表于 2025-3-24 11:36:10

https://doi.org/10.1007/978-3-319-25040-3Bayesian statistics; Optimal transport; Optimization on manifolds; Stochastic geometry; Topological info

hemorrhage 发表于 2025-3-24 15:40:43

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讨厌 发表于 2025-3-24 20:53:29

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Muscularis 发表于 2025-3-25 01:01:55

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查看完整版本: Titlebook: Geometric Science of Information; Second International Frank Nielsen,Frédéric Barbaresco Conference proceedings 2015 Springer International