Search Results for author: Stephen Zhang

Found 5 papers, 2 papers with code

Quadratically Regularized Optimal Transport: nearly optimal potentials and convergence of discrete Laplace operators

no code implementations20 Nov 2022 Gilles Mordant, Stephen Zhang

We consider the conjecture proposed in Matsumoto, Zhang and Schiebinger (2022) suggesting that optimal transport with quadratic regularisation can be used to construct a graph whose discrete Laplace operator converges to the Laplace--Beltrami operator.

Beyond kNN: Adaptive, Sparse Neighborhood Graphs via Optimal Transport

no code implementations1 Aug 2022 Tetsuya Matsumoto, Stephen Zhang, Geoffrey Schiebinger

One of the most common strategies to construct such a graph is based on selecting a fixed number k of nearest neighbours (kNN) for each point.

Trajectory Inference via Mean-field Langevin in Path Space

1 code implementation14 May 2022 Lénaïc Chizat, Stephen Zhang, Matthieu Heitz, Geoffrey Schiebinger

Trajectory inference aims at recovering the dynamics of a population from snapshots of its temporal marginals.

Towards a mathematical theory of trajectory inference

1 code implementation18 Feb 2021 Hugo Lavenant, Stephen Zhang, Young-Heon Kim, Geoffrey Schiebinger

We devise a theoretical framework and a numerical method to infer trajectories of a stochastic process from samples of its temporal marginals.

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