Papers, ranked by score

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

Strategies with minimal norm are optimal for expected utility maximization under high model ambiguity

We investigate an expected utility maximization problem under model uncertainty in a one-period financial market. We capture model uncertainty by replacing the baseline model $\mathbb{P}$ with an adverse choice from a Wasserstein ball of radius $k$ around $\mathbb{P}$ in the space of probability mea

Lab Rats Math 8.5 Rigor 2 ·  June 2, 2023

A dynamic programming principle for multiperiod control problems with bicausal constraints

We consider multiperiod stochastic control problems with non-parametric uncertainty on the underlying probabilistic model. We derive a new metric on the space of probability measures, called the adapted $(p, \infty)$–Wasserstein distance $\mathcal{AW}_p^\infty$ with the following properties: (1) th

Lab Rats Math 9 Rigor 1.5 ·  October 31, 2024

On the Martingale Schrödinger Bridge between Two Distributions

We study a martingale Schrödinger bridge problem: given two probability distributions, find their martingale coupling with minimal relative entropy. Our main result provides Schrödinger potentials for this coupling. Namely, under certain conditions, the log-density of the optimal coupling is given b

Lab Rats Math 9 Rigor 1.5 ·  January 10, 2024

Dynamic characterization of barycentric optimal transport problems and their martingale relaxation

We extend the Benamou-Brenier formula from classical optimal transport to weak optimal transport and show that the barycentric optimal transport problem studied by Gozlan and Juillet has a dynamic analogue. We also investigate a martingale relaxation of this problem, and relate it to the martingale

Lab Rats Math 8.5 Rigor 1.5 ·  November 26, 2025

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