English
Related papers

Related papers: Applying Deep Learning to Calibrate Stochastic Vol…

200 papers

Calibration error is commonly adopted for evaluating the quality of uncertainty estimators in deep neural networks. In this paper, we argue that such a metric is highly beneficial for training predictive models, even when we do not…

Machine Learning · Statistics 2019-11-01 Jayaraman J. Thiagarajan , Bindya Venkatesh , Deepta Rajan

We price European-style options written on forward contracts in a commodity market, which we model with an infinite-dimensional Heath-Jarrow-Morton (HJM) approach. For this purpose we introduce a new class of state-dependent volatility…

Mathematical Finance · Quantitative Finance 2021-05-07 Fred Espen Benth , Nils Detering , Silvia Lavagnini

Deep kernel learning (DKL) leverages the connection between Gaussian process (GP) and neural networks (NN) to build an end-to-end, hybrid model. It combines the capability of NN to learn rich representations under massive data and the…

Machine Learning · Statistics 2020-08-20 Haitao Liu , Yew-Soon Ong , Xiaomo Jiang , Xiaofang Wang

Deep Metric Learning (DML) approaches learn to represent inputs to a lower-dimensional latent space such that the distance between representations in this space corresponds with a predefined notion of similarity. This paper investigates how…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Niall O' Mahony , Sean Campbell , Anderson Carvalho , Lenka Krpalkova , Gustavo Velasco-Hernandez , Daniel Riordan , Joseph Walsh

Dynamic hedging is the practice of periodically transacting financial instruments to offset the risk caused by an investment or a liability. Dynamic hedging optimization can be framed as a sequential decision problem; thus, Reinforcement…

Computational Finance · Quantitative Finance 2024-02-26 Andrei Neagu , Frédéric Godin , Clarence Simard , Leila Kosseim

Deep Learning (DL) has advanced various fields by extracting complex patterns from large datasets. However, the computational demands of DL models pose environmental and resource challenges. Deep shift neural networks (DSNNs) offer a…

Machine Learning · Computer Science 2024-04-05 Leona Hennig , Tanja Tornede , Marius Lindauer

Applications in quantitative finance such as optimal trade execution, risk management of options, and optimal asset allocation involve the solution of high dimensional and nonlinear Partial Differential Equations (PDEs). The connection…

Machine Learning · Statistics 2019-10-28 Batuhan Güler , Alexis Laignelet , Panos Parpas

We apply supervised deep neural networks (DNNs) for pricing and calibration of both vanilla and exotic options under both diffusion and pure jump processes with and without stochastic volatility. We train our neural network models under…

Pricing of Securities · Quantitative Finance 2019-02-18 Ali Hirsa , Tugce Karatas , Amir Oskoui

Decentralized machine learning (DML) supports collaborative training in large-scale networks with no central server. It is sensitive to the quality and reliability of inter-device communications that result in time-varying and stochastic…

Signal Processing · Electrical Eng. & Systems 2025-11-06 Zhiyuan Zhai , Shuyan Hu , Wei Ni , Xiaojun Yuan , Xin Wang

Deep Learning (DL) is considered the state-of-the-art in computer vision, speech recognition and natural language processing. Until recently, it was also widely accepted that DL is irrelevant for learning tasks on tabular data, especially…

Machine Learning · Computer Science 2021-06-30 Karim Lounici , Katia Meziani , Benjamin Riu

We propose a neural network-based approach to calibrating stochastic volatility models, which combines the pioneering grid approach by Horvath et al. (2021) with the pointwise two-stage calibration of Bayer et al. (2018) and Liu et al.…

Pricing of Securities · Quantitative Finance 2024-01-15 Fabio Baschetti , Giacomo Bormetti , Pietro Rossi

In the present work, the European option pricing SWIFT method is extended for Heston model calibration. The computation of the option price gradient is simplified thanks to the knowledge of the characteristic function in closed form. The…

Computational Finance · Quantitative Finance 2021-03-03 Eudald Romo , Luis Ortiz-Gracia

Deep Metric Learning (DML) methods have been proven relevant for visual similarity learning. However, they sometimes lack generalization properties because they are trained often using an inappropriate sample selection strategy or due to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Jorge Gonzalez-Zapata , Ivan Reyes-Amezcua , Daniel Flores-Araiza , Mauricio Mendez-Ruiz , Gilberto Ochoa-Ruiz , Andres Mendez-Vazquez

Delivering meaningful uncertainty estimates is essential for a successful deployment of machine learning models in the clinical practice. A central aspect of uncertainty quantification is the ability of a model to return predictions that…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Adrian Galdran , Johan Verjans , Gustavo Carneiro , Miguel A. González Ballester

This work studies the deep learning-based numerical algorithms for optimal hedging problems in markets with general convex transaction costs on the trading rates, focusing on their scalability of trading time horizon. Based on the…

Mathematical Finance · Quantitative Finance 2022-12-29 Xiaofei Shi , Daran Xu , Zhanhao Zhang

We propose a generic calibration framework to both vanilla and no-touch options for a large class of continuous semi-martingale models. The method builds upon the forward partial integro-differential equation (PIDE) derived in Hambly et al.…

Mathematical Finance · Quantitative Finance 2025-11-19 Alan Bain , Matthieu Mariapragassam , Christoph Reisinger

The volatility fitting is one of the core problems in the equity derivatives business. Through a set of deterministic rules, the degrees of freedom in the implied volatility surface encoding (parametrization, density, diffusion) are…

Computational Finance · Quantitative Finance 2024-10-16 Emmanuel Gnabeyeu , Omar Karkar , Imad Idboufous

The Heston model is a well-known two-dimensional financial model. Because the Heston model contains implicit parameters that cannot be determined directly from real market data, calibrating the parameters to real market data is challenging.…

Optimization and Control · Mathematics 2023-10-16 Anna Clevenhaus , Claudia Totzeck , Matthias Ehrhardt

This systematic review examines how machine learning (ML) and deep learning (DL) have transformed forecasting, decision-making, and financial modelling, promoting innovation and efficiency in financial systems. Following PRISMA 2020…

General Mathematics · Mathematics 2026-01-26 Soufiane El Amine El Alami , Abderazzak Mouiha , Abdelatif Hafid , Ahmed El Hilali Alaoui

The Heston model stands out from the class of stochastic volatility (SV) models mainly for two reasons. Firstly, the process for the volatility is non-negative and mean-reverting, which is what we observe in the markets. Secondly, there…

Computational Finance · Quantitative Finance 2010-10-11 Agnieszka Janek , Tino Kluge , Rafal Weron , Uwe Wystup