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In incomplete financial markets, pricing and hedging European options lack a unique no-arbitrage solution due to unhedgeable risks. This paper introduces a constrained deep learning approach to determine option prices and hedging strategies…

Computational Finance · Quantitative Finance 2025-11-27 Nicolas Baradel

Identifying meaningful relationships between the price movements of financial assets is a challenging but important problem in a variety of financial applications. However with recent research, particularly those using machine learning and…

Statistical Finance · Quantitative Finance 2022-02-21 Rian Dolphin , Barry Smyth , Ruihai Dong

We develop a methodology that utilizes deep learning to simultaneously solve and estimate canonical continuous-time general equilibrium models in financial economics. We illustrate our method in two examples: (1) industrial dynamics of…

Computational Finance · Quantitative Finance 2023-05-18 Benjamin Fan , Edward Qiao , Anran Jiao , Zhouzhou Gu , Wenhao Li , Lu Lu

The field of algorithms with predictions incorporates machine learning advice in the design of online algorithms to improve real-world performance. A central consideration is the extent to which predictions can be trusted -- while existing…

Machine Learning · Statistics 2026-03-26 Judy Hanwen Shen , Ellen Vitercik , Anders Wikum

Computational intelligence in finance has been a very popular topic for both academia and financial industry in the last few decades. Numerous studies have been published resulting in various models. Meanwhile, within the Machine Learning…

Statistical Finance · Quantitative Finance 2020-02-17 Ahmet Murat Ozbayoglu , Mehmet Ugur Gudelek , Omer Berat Sezer

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

Deep Neural Networks (DNN) represent the state of the art in many tasks. However, due to their overparameterization, their generalization capabilities are in doubt and still a field under study. Consequently, DNN can overfit and assign…

Machine Learning · Computer Science 2021-05-19 Juan Maroñas , Daniel Ramos , Roberto Paredes

Artificial neural networks (ANNs) have recently also been applied to solve partial differential equations (PDEs). In this work, the classical problem of pricing European and American financial options, based on the corresponding PDE…

Computational Finance · Quantitative Finance 2020-05-26 Beatriz Salvador , Cornelis W. Oosterlee , Remco van der Meer

Learning deep representations to solve complex machine learning tasks has become the prominent trend in the past few years. Indeed, Deep Neural Networks are now the golden standard in domains as various as computer vision, natural language…

Machine Learning · Computer Science 2020-12-04 Vincent Gripon , Carlos Lassance , Ghouthi Boukli Hacene

The prospect of collusive agreements being stabilized via the use of pricing algorithms is widely discussed by antitrust experts and economists. However, the literature is often lacking the perspective of computer scientists, and seems to…

Computers and Society · Computer Science 2021-10-12 Florian E. Dorner

Algorithms are increasingly common components of high-impact decision-making, and a growing body of literature on adversarial examples in laboratory settings indicates that standard machine learning models are not robust. This suggests that…

Machine Learning · Statistics 2018-11-28 Suproteem K. Sarkar , Kojin Oshiba , Daniel Giebisch , Yaron Singer

Rapid development in numerical modelling of materials and the complexity of new models increases quickly together with their computational demands. Despite the growing performance of modern computers and clusters, calibration of such models…

Neural and Evolutionary Computing · Computer Science 2016-03-08 Tomáš Mareš , Eliška Janouchová , Anna Kučerová

While deep learning gradually penetrates operational planning, its inherent prediction errors may significantly affect electricity prices. This letter examines how prediction errors propagate into electricity prices, revealing notable…

Machine Learning · Computer Science 2023-11-14 Vladimir Dvorkin , Ferdinando Fioretto

A machine learning model is calibrated if its predicted probability for an outcome matches the observed frequency for that outcome conditional on the model prediction. This property has become increasingly important as the impact of machine…

Machine Learning · Computer Science 2025-02-25 Muthu Chidambaram , Rong Ge

Neural networks have been used as a nonparametric method for option pricing and hedging since the early 1990s. Far over a hundred papers have been published on this topic. This note intends to provide a comprehensive review. Papers are…

Computational Finance · Quantitative Finance 2020-05-12 Johannes Ruf , Weiguan Wang

Decision making algorithms are used in a multitude of different applications. Conventional approaches for designing decision algorithms employ principled and simplified modelling, based on which one can determine decisions via tractable…

Signal Processing · Electrical Eng. & Systems 2022-06-23 Nir Shlezinger , Yonina C. Eldar , Stephen P. Boyd

We introduce a novel and highly tractable supervised learning approach based on neural networks that can be applied for the computation of model-free price bounds of, potentially high-dimensional, financial derivatives and for the…

Computational Finance · Quantitative Finance 2022-12-15 Ariel Neufeld , Julian Sester

We present an algorithm for the calibration of local volatility from market option prices through deep self-consistent learning, by approximating both market option prices and local volatility using deep neural networks. Our method uses the…

Computational Finance · Quantitative Finance 2025-02-11 Zhe Wang , Ameir Shaa , Nicolas Privault , Claude Guet

The unwavering success of deep learning in the past decade led to the increasing prevalence of deep learning methods in various application fields. However, the downsides of deep learning, most prominently its lack of trustworthiness, may…

Machine Learning · Computer Science 2024-08-13 Holger Boche , Vit Fojtik , Adalbert Fono , Gitta Kutyniok

This paper explores the application of Machine Learning techniques for pricing high-dimensional options within the framework of the Uncertain Volatility Model (UVM). The UVM is a robust framework that accounts for the inherent…

Computational Finance · Quantitative Finance 2025-06-06 Ludovic Goudenege , Andrea Molent , Antonino Zanette