Papers, ranked by score

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

Stochastic Policy Gradient Methods in the Uncertain Volatility Model

The multidimensional Uncertain Volatility Model leads to robust option pricing problems under joint volatility and correlation uncertainty. Their numerical resolution quickly becomes challenging because the associated stochastic control problem is high-dimensional. We propose a backward actor-critic

Holy Grail Math 8.5 Rigor 7.5 ·  April 1, 2026

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

Propagation of a carbon price in a credit portfolio through macroeconomic factors

We study how the climate transition through a low-carbon economy, implemented by carbon pricing, propagates in a credit portfolio and precisely describe how carbon price dynamics affects credit risk measures such as probability of default, expected and unexpected losses. We adapt a stochastic multis

Lab Rats Math 7 Rigor 4.5 ·  July 24, 2023

Convergence of particles and tree based scheme for singular FBSDEs

We study an implementation of the theoretical splitting scheme introduced in [Chassagneux and Yang, 2022] for singular FBSDEs [Carmona and Delarue 2013] and their associated quasi-linear degenerate PDEs. The fully implementable algorithm is based on particles approximation of the transport operator

Lab Rats Math 9 Rigor 3 ·  December 22, 2022

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