Papers, ranked by score

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

Deep Runge-Kutta schemes for BSDEs

We propose a new probabilistic scheme which combines deep learning techniques with high order schemes for backward stochastic differential equations belonging to the class of Runge-Kutta methods to solve high-dimensional semi-linear parabolic partial differential equations. Our approach notably exte

Holy Grail Math 8.5 Rigor 6.5 ·  December 29, 2022

A Multilevel Stochastic Approximation Algorithm for Value-at-Risk and Expected Shortfall Estimation

We propose a multilevel stochastic approximation (MLSA) scheme for the computation of the value-at-risk (VaR) and expected shortfall (ES) of a financial loss, which can only be computed via simulations conditionally on the realisation of future risk factors. Thus the problem of estimating its VaR an

Lab Rats Math 8.5 Rigor 4.5 ·  March 24, 2023

Entropy-regularized penalization schemes and reflected BSDEs with singular generators

This paper extends our previous work to continuous-time optimal stopping, focusing on American options in an exploratory setting. Our first contribution is an entropy-regularized penalization scheme, inspired by classical penalization techniques for reflected BSDEs. It yields a smooth approximation

Lab Rats Math 9 Rigor 2.5 ·  February 20, 2026

A Monotone Limit Approach to Entropy-Regularized American Options

Recent advances in continuous-time optimal stopping have been driven by entropy-regularized formulations of randomized stopping problems, with most existing approaches relying on partial differential equation methods. In this paper, we propose a fully probabilistic framework based on the Doob-Meyer-

Lab Rats Math 8.5 Rigor 2.5 ·  February 20, 2026

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