
Optimizing persistent homology based functions
Solving optimization tasks based on functions and losses with a topologi...
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MREC: a fast and versatile framework for aligning and matching point clouds with applications to single cell molecular data
Comparing and aligning large datasets is a pervasive problem occurring a...
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MREC: a fast and versatile framework for aligning and matching data with applications to single cell molecular data
Comparing and aligning large datasets is a pervasive problem occurring a...
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Approximation of Reeb spaces with Mappers and Applications to Stochastic Filters
Reeb spaces, as well as their discretized versions called Mappers, are c...
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PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
Persistence diagrams, the most common descriptors of Topological Data An...
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PersLay: A Simple and Versatile Neural Network Layer for Persistence Diagrams
Persistence diagrams, a key descriptor from Topological Data Analysis, e...
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A General Neural Network Architecture for Persistence Diagrams and Graph Classification
Graph classification is a difficult problem that has drawn a lot of atte...
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Topological Data Analysis of Singlecell HiC Contact Maps
In this article, we show how the recent statistical techniques developed...
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On the Metric Distortion of Embedding Persistence Diagrams into separable Hilbert spaces
Persistence diagrams are important descriptors in Topological Data Analy...
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On the Metric Distortion of Embedding Persistence Diagrams into Reproducing Kernel Hilbert Spaces
Persistence diagrams are important feature descriptors in Topological Da...
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Sliced Wasserstein Kernel for Persistence Diagrams
Persistence diagrams (PDs) play a key role in topological data analysis ...
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Statistical Analysis and Parameter Selection for Mapper
In this article, we study the question of the statistical convergence of...
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Mathieu Carrière
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