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- W2765528324 abstract "Deconvolution for the Wasserstein metric and topological inference C. Caillerie, F. Chazal, J. Dedecker et B. Michel Geometric Science of Information 2013 B. Michel (UPMC) Wass. deconvolution & Topo Inference GSI 2013 1 / 37 Outline 1 Introduction : distance function to a measure 2 Measure deconvolution 3 Rates of convergence 4 Simulations B. Michel (UPMC) Wass. deconvolution & Topo Inference GSI 2013 2 / 37 Outline 1 Introduction : distance function to a measure 2 Measure deconvolution 3 Rates of convergence 4 Simulations B. Michel (UPMC) Wass. deconvolution & Topo Inference GSI 2013 3 / 37 Topological and geometric inference Aim : Infer the topology of an unknown object G using data sampled on G or close to G : Method : find an approximating object ˆG « close to » G such that the topological properties of ˆG et G are similar. B. Michel (UPMC) Wass. deconvolution & Topo Inference GSI 2013 4 / 37 Homotopy Two continuous functions from one topological space to another are called homotopic if one can be “continuously deformed” into the other. Two spaces X and Y are homotopy equivalent (homotopy type) if there exist continuous maps f : X → Y et g : Y → X such that g ◦ f" @default.
- W2765528324 created "2017-11-10" @default.
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- W2765528324 date "2013-08-28" @default.
- W2765528324 modified "2023-09-27" @default.
- W2765528324 title "Deconvolution for the Wasserstein metric and topological inference" @default.
- W2765528324 hasPublicationYear "2013" @default.
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