Papers, ranked by score

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

Data-driven Multiperiod Robust Mean-Variance Optimization

We study robust mean-variance optimization in multiperiod portfolio selection by allowing the true probability measure to be inside a Wasserstein ball centered at the empirical probability measure. Given the confidence level, the radius of the Wasserstein ball is determined by the empirical data. Th

Holy Grail Math 7.5 Rigor 6.5 ·  June 29, 2023

Calibration of Local Volatility Models with Stochastic Interest Rates using Optimal Transport

We develop a non-parametric, semimartingale optimal transport, calibration methodology for local volatility models with stochastic interest rate. The method finds a fully calibrated model which is the closest, in a way that can be defined by a general cost function, to a given reference model. We es

Lab Rats Math 8.5 Rigor 3 ·  April 29, 2023

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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