Asymptotic quantization for probability measures on Riemannian manifolds

DOI10.1051/cocv/2015025zbMath1344.49074arXiv1412.4026OpenAlexW2049659822WikidataQ115334446 ScholiaQ115334446MaRDI QIDQ2994672

Mikaela Iacobelli

Publication date: 3 August 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4026

zbMATH Keywords

Riemannian manifoldsprobability measuresasymptotic quantization

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (7)

Quantization of probability distributions and gradient flows in space dimension 2 ⋮ Circling the uniform distribution ⋮ Variational methods for evolution. Abstracts from the workshop held November 12--18, 2017 ⋮ Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour ⋮ Asymptotic optimality of the triangular lattice for a class of optimal location problems ⋮ Quantization and clustering on Riemannian manifolds with an application to air traffic analysis ⋮ Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic of an optimal location problem
• Foundations of quantization for probability distributions
• Asymptotic analysis of a class of optimal location problems
• Approximation by finitely supported measures
• Foundations of Hyperbolic Manifolds
• Multidimensional asymptotic quantization theory with<tex>r</tex>th power distortion measures
• Long-term planningversusshort-term planning in the asymptotical location problem

This page was built for publication: Asymptotic quantization for probability measures on Riemannian manifolds