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This paper comprehensively reviews the application of machine learning (ML) and AI in finance, specifically in the context of asset pricing. It starts by summarizing the traditional asset pricing models and examining their limitations in…

Statistical Finance · Quantitative Finance 2024-03-12 Junyi Ye , Bhaskar Goswami , Jingyi Gu , Ajim Uddin , Guiling Wang

The differentiable programming paradigm is a cornerstone of modern scientific computing. It refers to numerical methods for computing the gradient of a numerical model's output. Many scientific models are based on differential equations,…

Recent progress in the field of artificial intelligence, machine learning and also in computer industry resulted in the ongoing boom of using these techniques as applied to solving complex tasks in both science and industry. Same is, of…

Computational Finance · Quantitative Finance 2019-06-11 A Itkin

This article presents a deep reinforcement learning approach to price and hedge financial derivatives. This approach extends the work of Guo and Zhu (2017) who recently introduced the equal risk pricing framework, where the price of a…

Computational Finance · Quantitative Finance 2020-06-09 Alexandre Carbonneau , Frédéric Godin

Deep hedging is a framework for hedging derivatives in the presence of market frictions. In this study, we focus on the problem of hedging a given target option by using multiple options. To extend the deep hedging framework to this…

Computational Finance · Quantitative Finance 2023-05-23 Masanori Hirano , Kentaro Imajo , Kentaro Minami , Takuya Shimada

The application of machine learning to support the processing of large datasets holds promise in many industries, including financial services. However, practical issues for the full adoption of machine learning remain with the focus being…

Machine Learning · Computer Science 2021-05-14 Ismini Psychoula , Andreas Gutmann , Pradip Mainali , S. H. Lee , Paul Dunphy , Fabien A. P. Petitcolas

Scientific studies often require the precise calculation of derivatives. In many cases an analytical calculation is not feasible and one resorts to evaluating derivatives numerically. These are error-prone, especially for higher-order…

High Energy Physics - Phenomenology · Physics 2010-05-28 Mathias Wagner , Andrea Walther , Bernd-Jochen Schaefer

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

Deep neural networks (DNNs) have achieved remarkable empirical success, yet the absence of a principled theoretical foundation continues to hinder their systematic development. In this survey, we present differential equations as a…

Artificial Intelligence · Computer Science 2026-03-20 Hongjue Zhao , Yizhuo Chen , Yuchen Wang , Hairong Qi , Lui Sha , Tarek Abdelzaher , Huajie Shao

This paper shows how reinforcement learning can be used to derive optimal hedging strategies for derivatives when there are transaction costs. The paper illustrates the approach by showing the difference between using delta hedging and…

Computational Finance · Quantitative Finance 2021-03-31 Jay Cao , Jacky Chen , John Hull , Zissis Poulos

This draft book offers a comprehensive and rigorous treatment of the mathematical principles underlying modern deep learning. The book spans core theoretical topics, from the approximation capabilities of deep neural networks, the theory…

Machine Learning · Computer Science 2026-03-20 Xiaojing Ye

Sustainable financial markets play an important role in the functioning of human society. Still, the detection and prediction of risk in financial markets remain challenging and draw much attention from the scientific community. Here we…

Physics and Society · Physics 2018-11-27 Jingfang Fan , Keren Cohen , Louis M. Shekhtman , Sibo Liu , Jun Meng , Yoram Louzoun , Shlomo Havlin

Artificial intelligence has recently experienced remarkable advances, fueled by large models, vast datasets, accelerated hardware, and, last but not least, the transformative power of differentiable programming. This new programming…

Machine Learning · Computer Science 2025-06-25 Mathieu Blondel , Vincent Roulet

The objective of this research was to evaluate and gain experience with application of two methods used for pricing and sensitivity analysis of exotic financial derivative instruments, namely, automatic adjoint differentiation (AAD) and…

Disordered Systems and Neural Networks · Physics 2023-11-08 Pavel Goldin

Derivatives play a critical role in computational statistics, examples being Bayesian inference using Hamiltonian Monte Carlo sampling and the training of neural networks. Automatic differentiation is a powerful tool to automate the…

Mathematical Software · Computer Science 2019-03-27 Charles C. Margossian

Despite the tremendous advances achieved over the past years by deep learning techniques, the latest risk prediction models for industrial applications still rely on highly handtuned stage-wised statistical learning tools, such as gradient…

Machine Learning · Computer Science 2023-08-08 Yancheng Liang , Jiajie Zhang , Hui Li , Xiaochen Liu , Yi Hu , Yong Wu , Jinyao Zhang , Yongyan Liu , Yi Wu

In this paper, we propose to utilize Automated Machine Learning to adaptively search a neural architecture for deepfake detection. This is the first time to employ automated machine learning for deepfake detection. Based on our explored…

Computer Vision and Pattern Recognition · Computer Science 2021-08-13 Ping Liu , Yuewei Lin , Yang He , Yunchao Wei , Liangli Zhen , Joey Tianyi Zhou , Rick Siow Mong Goh , Jingen Liu

This article is an introduction to machine learning for financial forecasting, planning and analysis (FP\&A). Machine learning appears well suited to support FP\&A with the highly automated extraction of information from large amounts of…

Econometrics · Economics 2021-07-13 Helmut Wasserbacher , Martin Spindler

Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial…

Numerical Analysis · Mathematics 2020-12-30 Weinan E

Algorithmic trading relies on extracting meaningful signals from diverse financial data sources, including candlestick charts, order statistics on put and canceled orders, traded volume data, limit order books, and news flow. While deep…

Machine Learning · Computer Science 2025-04-22 Kasymkhan Khubiev , Mikhail Semenov