
Estimation and Quantization of Expected Persistence Diagrams
Persistence diagrams (PDs) are the most common descriptors used to encod...
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Reconstructing measures on manifolds: an optimal transport approach
Assume that we observe i.i.d. points lying close to some unknown ddimen...
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A short proof on the rate of convergence of the empirical measure for the Wasserstein distance
We provide a short proof that the Wasserstein distance between the empir...
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Minimax adaptive estimation in manifold inference
We focus on the problem of manifold estimation: given a set of observati...
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Understanding the Topology and the Geometry of the Persistence Diagram Space via Optimal Partial Transport
We consider a generalization of persistence diagrams, namely Radon measu...
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The density of expected persistence diagrams and its kernel based estimation
Persistence diagrams play a fundamental role in Topological Data Analysi...
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Vincent Divol
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