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20212026
most citedLarge deviations for Markov processes with switching and homogenisation via Hamilton-Jacobi-Bellman equations

2 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

q-fin.CP2026

Shapley-based Structural Analysis of Neural Calibration for Stochastic Volatility Models

Shaïn Afzali, Serena Della Corte, Antonis Papapantoleon

Neural network-based approaches have emerged as efficient alternatives to traditional optimization-based procedures for the calibration of stochastic volatility models. However, ex…

math.AP2023

Well-posedness of a Hamilton-Jacobi-Bellman equation in the strong coupling regime

Serena Della Corte, Richard C. Kraaij

We prove comparison principle for viscosity solutions of a Hamilton-Jacobi-Bellman equation in a strong coupling regime considering a stationary and a time-dependent version of the…

q-fin.CP2023

Machine learning for option pricing: an empirical investigation of network architectures

Serena Della Corte, Laurens Van Mieghem, Antonis Papapantoleon +1

We consider the supervised learning problem of learning the price of an option or the implied volatility given appropriate input data (model parameters) and corresponding output da…

math.DG2023

Uniform Sobolev, interpolation and geometric Calderón-Zygmund inequalities for graph hypersurfaces

Serena Della Corte, Antonia Diana, Carlo Mantegazza

In this note, our aim is to show that families of smooth hypersurfaces of which are all --close enough to a fixed compact, embedded one, have uniformly bound…

math.PR2022★ 2 cited

Large deviations for Markov processes with switching and homogenisation via Hamilton-Jacobi-Bellman equations

Serena Della Corte, Richard C. Kraaij

We consider the context of molecular motors modelled by a diffusion process driven by the gradient of a weakly periodic potential that depends on an internal degree of freedom. The…

math.AP2021

Global Existence and Stability for the Modified Mullins-Sekerka and Surface Diffusion Flow

Serena Della Corte, Antonia Diana, Carlo Mantegazza

In this survey we present the state of the art about the asymptotic behavior and stability of the modified Mullins--Sekerka flow and the surface diffusion flow of smooth sets, main…