Quantitative Uniform Stability of the Iterative Proportional Fitting Procedure

We establish the uniform in time stability, w.r.t. the marginals, of the Iterative Proportional Fitting Procedure, also known as Sinkhorn algorithm, used to solve entropy-regularised Optimal Transport problems. Our result is quantitative and stated in terms of the 1- Wasserstein metric. As a corollary we establish a quantitative stability result for Schrödinger bridges.

This is joint work with V. de Bortoli and A. Doucet.

• Speaker: George Degliannidis, University of Oxford
• Friday 19 April 2024, 14:00–15:00
• Venue: MR2, Centre for Mathematical Sciences.
• Series: Statistics; organiser: Dr Sergio Bacallado.