Papers, ranked by score

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

The Volterra Stein-Stein model with stochastic interest rates

We introduce the Volterra Stein-Stein model with stochastic interest rates, where both volatility and interest rates are driven by correlated Gaussian Volterra processes. This framework unifies various well-known Markovian and non-Markovian models while preserving analytical tractability for pricing

Holy Grail Math 8.5 Rigor 7.5 ·  March 3, 2025

Signature approach for pricing and hedging path-dependent options with frictions

We introduce a novel signature approach for pricing and hedging path-dependent options with instantaneous and permanent market impact under a mean-quadratic variation criterion. Leveraging the expressive power of signatures, we recast an inherently nonlinear and non-Markovian stochastic control prob

Holy Grail Math 9 Rigor 7 ·  November 28, 2025

Deep kernel hedging

We introduce a deep kernel hedging framework that combines the flexibility of deep learning with the structural inductive bias of kernel methods. The hedging functional is restricted to a reproducing kernel Hilbert space whose kernel is parameterized through a neural network embedding of the input f

Holy Grail Math 8.5 Rigor 7 ·  September 28, 2026

Deep Learning for Continuous-time Stochastic Control with Jumps

In this paper, we introduce a model-based deep-learning approach to solve finite-horizon continuous-time stochastic control problems with jumps. We iteratively train two neural networks: one to represent the optimal policy and the other to approximate the value function. Leveraging a continuous-time

Holy Grail Math 9.2 Rigor 6.5 ·  May 21, 2025

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