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20172026
most citedUniform error estimates for artificial neural network approximations for heat equations

31 citations · 152 across the 38 of their papers we have counts for

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q-fin.MF2026

Arbitrage-Aware Probabilistic Multi-Step Forecasting of Implied Volatility Surfaces: Joint Generation of Surface-Return Trajectories Using Latent Diffusion

Dominik Manuel Buchegger, Lukas Gonon

Implied volatility surfaces summarise the option market and are central to many financial applications. Probabilistic forecasting of their future evolution requires modelling two-d…

q-fin.MF2023

Approximation Rates for Deep Calibration of (Rough) Stochastic Volatility Models

Francesca Biagini, Lukas Gonon, Niklas Walter

We derive quantitative error bounds for deep neural networks (DNNs) approximating option prices on a -dimensional risky asset as functions of the underlying model parameters, pa…

q-fin.MF2022★ 2 cited

Detecting asset price bubbles using deep learning

Francesca Biagini, Lukas Gonon, Andrea Mazzon +1

In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-indep…

q-fin.MF2021

Neural network approximation for superhedging prices

Francesca Biagini, Lukas Gonon, Thomas Reitsam

This article examines neural network-based approximations for the superhedging price process of a contingent claim in a discrete time market model. First we prove that the -quan…

q-fin.MF2019

Asset Pricing with General Transaction Costs: Theory and Numerics

Lukas Gonon, Johannes Muhle-Karbe, Xiaofei Shi

We study risk-sharing equilibria with general convex costs on the agents' trading rates. For an infinite-horizon model with linear state dynamics and exogenous volatilities, we pro…