15 citations · 15 across the 3 of their papers we have counts for
5 papers
Algorithmic Reconstruction of the Fiber of Persistent Homology on Cell Complexes
Jacob Leygonie, Gregory Henselman-Petrusek
Let be a finite simplicial, cubical, delta or CW complex. The persistence map takes a filter as input and returns the barcodes $\math…
A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis
Jacob Leygonie, Mathieu Carrière, Théo Lacombe +1
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…
Adversarial Computation of Optimal Transport Maps
Jacob Leygonie, Jennifer She, Amjad Almahairi +2
Computing optimal transport maps between high-dimensional and continuous distributions is a challenging problem in optimal transport (OT). Generative adversarial networks (GANs) ar…
Combining neural networks and signed particles to simulate quantum systems more efficiently, Part III
Jean Michel Sellier, Gaetan Marceau Caron, Jacob Leygonie
This work belongs to a series of articles which have been dedicated to the combination of signed particles and neural networks to speed up the time-dependent simulation of quantum…
Combining neural networks and signed particles to simulate quantum systems more efficiently, Part II
Jean Michel Sellier, Jacob Leygonie, Gaetan Marceau Caron
Recently the use of neural networks has been introduced in the context of the signed particle formulation of quantum mechanics to rapidly and reliably compute the Wigner kernel of…