Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

The geometry of financial institutions -- Wasserstein clustering of financial data

The increasing availability of granular and big data on various objects of interest has made it necessary to develop methods for condensing this information into a representative and intelligible map. Financial regulation is a field that exemplifies this need, as regulators require diverse and often

Holy Grail Math 7.5 Rigor 5.5 ·  May 5, 2023

Bridging classical and martingale Schrödinger bridges

We investigate the martingale Schrödinger bridge, recently introduced by Nutz and Wiesel as a distinguished martingale transport plan between two probability measures in convex order. We show that this construction extends naturally to arbitrary dimension and admits several equivalent characterizati

Lab Rats Math 9 Rigor 1.5 ·  April 1, 2026

Multidimensional specific relative entropy between continuous martingales

In continuous time, the laws of martingales tend to be singular to each other. Notably, N. Gantert introduced the concept of specific relative entropy between real-valued continuous martingales, defined as a scaling limit of finite-dimensional relative entropies, and showed that this quantity is non

Lab Rats Math 9 Rigor 1 ·  November 18, 2024

Geometric Martingale Benamou-Brenier transport and geometric Bass martingales

We introduce and study geometric Bass martingales. Bass martingales were introduced in \cite{Ba83} and studied recently in a series of works, including \cite{BaBeHuKa20,BaBeScTs23}, where they appear as solutions to the martingale version of the Benamou-Brenier optimal transport formulation. These a

Lab Rats Math 9 Rigor 1 ·  June 6, 2024

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