Papers, ranked by score

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

Bayesian Distributionally Robust Merton Problem with Nonlinear Wasserstein Projections

We revisit Merton’s continuous-time portfolio selection through a data-driven, distributionally robust lens. Our aim is to tap the benefits of frequent trading over short horizons while acknowledging that drift is hard to pin down, whereas volatility can be screened using realized or implied measure

Holy Grail Math 8.5 Rigor 7.5 ·  December 1, 2025

Distributionally Robust Optimization as a Scalable Framework to Characterize Extreme Value Distributions

The goal of this paper is to develop distributionally robust optimization (DRO) estimators, specifically for multidimensional Extreme Value Theory (EVT) statistics. EVT supports using semi-parametric models called max-stable distributions built from spatial Poisson point processes. While powerful, t

Holy Grail Math 8 Rigor 6.5 ·  July 31, 2024

Duality and Policy Evaluation in Distributionally Robust Bayesian Diffusion Control

We consider a Bayesian diffusion control problem of expected terminal utility maximization. The controller imposes a prior distribution on the unknown drift of an underlying diffusion. The Bayesian optimal control, tracking the posterior distribution of the unknown drift, can be characterized explic

Holy Grail Math 9 Rigor 5 ·  June 24, 2025

Connecting Quantum Computing with Classical Stochastic Simulation

This tutorial paper introduces quantum approaches to Monte Carlo computation with applications in computational finance. We outline the basics of quantum computing using Grover’s algorithm for unstructured search to build intuition. We then move slowly to amplitude estimation problems and applicatio

Lab Rats Math 6.5 Rigor 4 ·  September 23, 2025

Optimal Quantum Speedups for Repeatedly Nested Expectation Estimation

We study the estimation of repeatedly nested expectations (RNEs) with a constant horizon (number of nestings) using quantum computing. We propose a quantum algorithm that achieves $\varepsilon$-error with cost $\tilde O(\varepsilon^{-1})$, up to logarithmic factors. Standard lower bounds show this s

Lab Rats Math 9 Rigor 1.5 ·  February 8, 2026

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