Papers, ranked by score

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

Simultaneous upper and lower bounds of American-style option prices with hedging via neural networks

In this paper, we introduce two novel methods to solve the American-style option pricing problem and its dual form at the same time using neural networks. Without applying nested Monte Carlo, the first method uses a series of neural networks to simultaneously compute both the lower and upper bounds

Holy Grail Math 8 Rigor 6.5 ·  February 24, 2023

Robust Pricing and Hedging of American Options in Continuous Time

We consider the robust pricing and hedging of American options in a continuous time setting. We assume asset prices are continuous semimartingales, but we allow for general model uncertainty specification via adapted closed convex constraints on the volatility. We prove the robust pricing-hedging du

Lab Rats Math 9.5 Rigor 1.5 ·  October 6, 2025

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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