Search Results for author: Jacob Leygonie

Found 3 papers, 2 papers with code

A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis

1 code implementation1 Sep 2021 Jacob Leygonie, Mathieu Carrière, Théo Lacombe, Steve Oudot

We introduce a novel gradient descent algorithm extending the well-known Gradient Sampling methodology to the class of stratifiably smooth objective functions, which are defined as locally Lipschitz functions that are smooth on some regular pieces-called the strata-of the ambient Euclidean space.

Efficient Exploration Topological Data Analysis

Optimisation of Spectral Wavelets for Persistence-based Graph Classification

no code implementations10 Jan 2021 Ka Man Yim, Jacob Leygonie

Since the spectral wavelet signature of a graph is derived from its Laplacian, our framework encodes geometric properties of graphs in their associated persistence diagrams and can be applied to graphs without a priori node attributes.

General Classification Graph Classification

Adversarial Computation of Optimal Transport Maps

1 code implementation24 Jun 2019 Jacob Leygonie, Jennifer She, Amjad Almahairi, Sai Rajeswar, Aaron Courville

We show that during training, our generator follows the $W_2$-geodesic between the initial and the target distributions.

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