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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

Recent advances in machine learning make it possible to design efficient prediction algorithms for data sets with huge numbers of parameters. This paper describes a new technique for "hedging" the predictions output by many such algorithms,…

Machine Learning · Computer Science 2011-11-22 Alexander Gammerman , Vladimir Vovk

A good parallelization strategy can significantly improve the efficiency or reduce the cost for the distributed training of deep neural networks (DNNs). Recently, several methods have been proposed to find efficient parallelization…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-12 Zhenkun Cai , Kaihao Ma , Xiao Yan , Yidi Wu , Yuzhen Huang , James Cheng , Teng Su , Fan Yu

A neural network is essentially a high-dimensional complex mapping model by adjusting network weights for feature fitting. However, the spectral bias in network training leads to unbearable training epochs for fitting the high-frequency…

Signal Processing · Electrical Eng. & Systems 2021-06-22 Zhi Zeng , Pengpeng Shi , Fulei Ma , Peihan Qi

Deep neural networks with large model sizes achieve state-of-the-art results for tasks in computer vision (CV) and natural language processing (NLP). However, these large-scale models are too compute- or memory-intensive for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-29 Yang Hu , Connor Imes , Xuanang Zhao , Souvik Kundu , Peter A. Beerel , Stephen P. Crago , John Paul N. Walters

Shorting for hedging exposes to risk when the market dynamics is uncertain. Managing uncertainty and risk exposure is key in portfolio management practice. This paper develops a robust framework for dynamic minimum-variance hedging that…

Risk Management · Quantitative Finance 2026-04-03 Adele Ravagnani , Mattia Chiappari , Andrea Flori , Piero Mazzarisi , Marco Patacca

Federated learning (FL) has emerged as a promising paradigm within edge computing (EC) systems, enabling numerous edge devices to collaboratively train artificial intelligence (AI) models while maintaining data privacy. To overcome the…

Machine Learning · Computer Science 2025-08-13 Yuze Liu , Tiehua Zhang , Zhishu Shen , Libing Wu , Shiping Chen , Jiong Jin

The paper investigates quadratic hedging in a semimartingale market that does not necessarily contain a risk-free asset. An equivalence result for hedging with and without numeraire change is established. This permits direct computation of…

Optimization and Control · Mathematics 2025-07-08 Aleš Černý , Christoph Czichowsky , Jan Kallsen

A method based on deep artificial neural networks and empirical risk minimization is developed to calculate the boundary separating the stopping and continuation regions in optimal stopping. The algorithm parameterizes the stopping boundary…

Pricing of Securities · Quantitative Finance 2023-05-26 A. Max Reppen , H. Mete Soner , Valentin Tissot-Daguette

Applications of data envelopment analysis (DEA) show that many inefficient units are projected onto the weakly efficient parts of the frontier when efficiency scores are computed. However this fact disagrees with the main concept of the DEA…

Optimization and Control · Mathematics 2018-04-16 Vladimir E. Krivonozhko , Finn R. Førsund , Andrey V. Lychev

We propose a Finance-Informed Neural Network (FINN) for option pricing and hedging that integrates financial theory directly into machine learning. Instead of training on observed option prices, FINN is learned through a self-supervised…

Machine Learning · Computer Science 2026-03-13 Amine M. Aboussalah , Xuanze Li , Cheng Chi , Raj Patel

This paper presents machine learning techniques and deep reinforcement learningbased algorithms for the efficient resolution of nonlinear partial differential equations and dynamic optimization problems arising in investment decisions and…

Optimization and Control · Mathematics 2021-04-19 Maximilien Germain , Huyên Pham , Xavier Warin

Deep neural networks (DNNs) are powerful types of artificial neural networks (ANNs) that use several hidden layers. They have recently gained considerable attention in the speech transcription and image recognition community (Krizhevsky et…

Machine Learning · Computer Science 2017-06-15 Matthew Dixon , Diego Klabjan , Jin Hoon Bang

In this paper, we design a neural network architecture to approximate the weakly efficient frontier of convex vector optimization problems (CVOP) satisfying Slater's condition. The proposed machine learning methodology provides both an…

Optimization and Control · Mathematics 2024-05-31 Zachary Feinstein , Birgit Rudloff

Recent methods leverage a hypernet to handle the performance-fairness trade-offs in federated learning. This hypernet maps the clients' preferences between model performance and fairness to preference-specifc models on the trade-off curve,…

Machine Learning · Computer Science 2025-05-01 Rongguang Ye , Ming Tang

This work focuses on the dynamic hedging of financial derivatives, where a reinforcement learning algorithm is designed to minimize the variance of the delta hedging process. In contrast to previous research in this area, we apply…

Optimization and Control · Mathematics 2023-06-21 Cong Zheng , Jiafa He , Can Yang

Deep hedging trains neural networks to manage derivative risk under market frictions, but produces hedge ratios with no measure of model confidence -- a significant barrier to deployment. We introduce uncertainty quantification to the deep…

Computational Finance · Quantitative Finance 2026-03-12 Manan Poddar

Solving portfolio management problems using deep reinforcement learning has been getting much attention in finance for a few years. We have proposed a new method using experts signals and historical price data to feed into our reinforcement…

Computational Finance · Quantitative Finance 2023-01-02 MohammadAmin Fazli , Mahdi Lashkari , Hamed Taherkhani , Jafar Habibi

Given the return series for a set of instruments, a \emph{trading strategy} is a switching function that transfers wealth from one instrument to another at specified times. We present efficient algorithms for constructing (ex-post) trading…

Computational Engineering, Finance, and Science · Computer Science 2010-09-24 Victor Boyarshinov , Malik Magdon-Ismail

The paper proposes a new hybrid Bayesian network learning algorithm, termed Forward Early Dropping Hill Climbing (FEDHC), devised to work with either continuous or categorical variables. Further, the paper manifests that the only…

Machine Learning · Statistics 2022-08-16 Michail Tsagris
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