Mathieu Carrière

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Inria ∙ Columbia University

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Optimizing persistent homology based functions

Solving optimization tasks based on functions and losses with a topologi...
10/16/2020 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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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...
01/06/2020 ∙ by Andrew J. Blumberg, et al. ∙ 0 ∙ share

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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...
01/06/2020 ∙ by Andrew J. Blumberg, et al. ∙ 0 ∙ share

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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...
12/23/2019 ∙ by Mathieu Carrière, et al. ∙ 3 ∙ share

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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...
04/20/2019 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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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...
04/20/2019 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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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...
04/20/2019 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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Topological Data Analysis of Single-cell Hi-C Contact Maps

In this article, we show how the recent statistical techniques developed...
12/04/2018 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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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...
06/19/2018 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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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...
06/19/2018 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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Sliced Wasserstein Kernel for Persistence Diagrams

Persistence diagrams (PDs) play a key role in topological data analysis ...
06/11/2017 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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Statistical Analysis and Parameter Selection for Mapper

In this article, we study the question of the statistical convergence of...
06/01/2017 ∙ by Mathieu Carrière, et al. ∙ 0 ∙ share

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