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20132022
most citedPore-geometry recognition: on the importance of quantifying similarity in nanoporous materials

194 citations

Showing 2021Show all

6 papers · 1 filter

cs.AI2021★ 2 cited

Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport

Alex Delalande

We derive nearly tight and non-asymptotic convergence bounds for solutions of entropic semi-discrete optimal transport. These bounds quantify the stability of the dual solutions of…

math.GT2021★ 1 cited

On the pathwidth of hyperbolic 3-manifolds

Kristóf Huszár

According to Mostow's celebrated rigidity theorem, the geometry of closed hyperbolic 3-manifolds is already determined by their topology. In particular, the volume of such manifold…

math.ST2021

Estimation and Quantization of Expected Persistence Diagrams

Vincent Divol, Théo Lacombe

Persistence diagrams (PDs) are the most common descriptors used to encode the topology of structured data appearing in challenging learning tasks; think e.g. of graphs, time series…

stat.ML2021★ 2 cited

Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs

Théo Lacombe, Yuichi Ike, Mathieu Carriere +3

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can…

stat.ME2021★ 2 cited

Post hoc false discovery proportion inference under a Hidden Markov Model

Marie Perrot-Dockès, Gilles Blanchard, Pierre Neuvial +1

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting…

math.FA2021★ 1 cited

Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure

Alex Delalande, Quentin Merigot

This work studies the quantitative stability of the quadratic optimal transport map between a fixed probability density and a probability measure on R^d , which we denote T…