Hölder-Lipschitz norms and their duals on spaces with semigroups, with applications to earth mover's distance
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Publication:305688
DOI10.1007/s00041-015-9439-5zbMath1358.46025OpenAlexW2249305365MaRDI QIDQ305688
William Leeb, Ronald R. Coifman
Publication date: 30 August 2016
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-015-9439-5
semigroupheat kernelLipschitz functionHölder functiondominating mixed derivativesearth mover's distance
Lipschitz (Hölder) classes (26A16) Banach spaces of continuous, differentiable or analytic functions (46E15) Spaces of measures (46E27) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
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- An efficient tree-based computation of a metric comparable to a natural diffusion distance
- Calderón reproducing formulas and new Besov spaces associated with operators
- Heat kernel and Lipschitz-Besov spaces
- On the parabolic kernel of the Schrödinger operator
- Lectures on analysis on metric spaces
- The earth mover's distance as a metric for image retrieval
- Neo-classical minimax problems, thresholding and adaptive function estimation
- Some remarks on diffusion distances
- Diffusion maps
- Diffusion wavelets
- Similarity estimation techniques from rounding algorithms
- Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
- Real Analysis and Probability
- Anisotropic function spaces and related semi–linear hypoelliptic equations
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
