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07/31/2023
Wasserstein Mirror Gradient Flow as the limit of the Sinkhorn Algorithm
We prove that the sequence of marginals obtained from the iterations of ...
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07/19/2023
Manifold Learning with Sparse Regularised Optimal Transport
Manifold learning is a central task in modern statistics and data scienc...
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08/01/2022
Beyond kNN: Adaptive, Sparse Neighborhood Graphs via Optimal Transport
Nearest neighbour graphs are widely used to capture the geometry or topo...
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05/14/2022
Trajectory Inference via Mean-field Langevin in Path Space
Trajectory inference aims at recovering the dynamics of a population fro...
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02/18/2021
Towards a mathematical theory of trajectory inference
We devise a theoretical framework and a numerical method to infer trajec...
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11/28/2018
Reconstructing probabilistic trees of cellular differentiation from single-cell RNA-seq data
Until recently, transcriptomics was limited to bulk RNA sequencing, obsc...
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06/19/2018
Statistical Optimal Transport via Geodesic Hubs
We propose a new method to estimate Wasserstein distances and optimal tr...
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04/29/2014
The geometry of kernelized spectral clustering
Clustering of data sets is a standard problem in many areas of science a...
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02/02/2013