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Deep hedging is a deep-learning-based framework for derivative hedging in incomplete markets. The advantage of deep hedging lies in its ability to handle various realistic market conditions, such as market frictions, which are challenging…

Computational Finance · Quantitative Finance 2023-07-26 Masanori Hirano , Kentaro Minami , Kentaro Imajo

Diffusion policies are becoming mainstream in robotic manipulation but suffer from hard negative class imbalance due to uniform sampling and lack of sample difficulty awareness, leading to slow training convergence and frequent inference…

Robotics · Computer Science 2026-04-20 Xinglei Yu , Zhenyang Liu , Shufeng Nan , Simo Wu , Yanwei Fu

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

Recently equal risk pricing, a framework for fair derivative pricing, was extended to consider dynamic risk measures. However, all current implementations either employ a static risk measure that violates time consistency, or are based on…

Pricing of Securities · Quantitative Finance 2021-09-10 Saeed Marzban , Erick Delage , Jonathan Yumeng Li

Adversarial distillation (AD) is a knowledge distillation technique that facilitates the transfer of robustness from teacher deep neural network (DNN) models to lightweight target (student) DNN models, enabling the target models to perform…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Zhenyu Liu , Huizhi Liang , Xinrun Li , Vaclav Snasel , Varun Ojha

Deep hedging represents a cutting-edge approach to risk management for financial derivatives by leveraging the power of deep learning. However, existing methods often face challenges related to computational inefficiency, sensitivity to…

Machine Learning · Computer Science 2025-02-26 Lei Zhao , Lin Cai

A common problem in training neural networks is the vanishing and/or exploding gradient problem which is more prominently seen in training of Recurrent Neural Networks (RNNs). Thus several algorithms have been proposed for training RNNs.…

Machine Learning · Computer Science 2019-09-10 S. Indrapriyadarsini , Shahrzad Mahboubi , Hiroshi Ninomiya , Hideki Asai

As a representative continuous-depth neural network approach, stochastic differential equation (SDE)-based Bayesian neural networks (BNNs) have attracted considerable attention due to their solid theoretical foundations and strong potential…

Machine Learning · Statistics 2026-03-27 Chenxu Yu , Wenqi Fang

This paper proposes a two-phase deep reinforcement learning approach, for hedging variable annuity contracts with both GMMB and GMDB riders, which can address model miscalibration in Black-Scholes financial and constant force of mortality…

Risk Management · Quantitative Finance 2022-10-04 Wing Fung Chong , Haoen Cui , Yuxuan Li

The increasing complexity of deep learning models and the demand for processing vast amounts of data make the utilization of large-scale distributed systems for efficient training essential. These systems, however, face significant…

Machine Learning · Computer Science 2024-09-17 Yuesheng Xu , Arielle Carr

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) is a fast-developing technique that allows multiple workers to train a global model based on a distributed dataset. Conventional FL (FedAvg) employs gradient descent algorithm, which may not be efficient enough.…

Machine Learning · Computer Science 2022-10-27 Zhengjie Yang , Wei Bao , Dong Yuan , Nguyen H. Tran , Albert Y. Zomaya

Classical machine learning models such as deep neural networks are usually trained by using Stochastic Gradient Descent-based (SGD) algorithms. The classical SGD can be interpreted as a discretization of the stochastic gradient flow. In…

Optimization and Control · Mathematics 2023-10-03 Valentin Leplat , Daniil Merkulov , Aleksandr Katrutsa , Daniel Bershatsky , Olga Tsymboi , Ivan Oseledets

In this study, we constitute an adaptive hedging method based on empirical mode decomposition (EMD) method to extract the adaptive hedging horizon and build a time series cross-validation method for robust hedging performance estimation.…

Econometrics · Economics 2023-02-02 Wang Haoyu , Junpeng Di , Qing Han

Research in quantitative finance has demonstrated that reinforcement learning (RL) methods have delivered promising outcomes in the context of hedging financial portfolios. For example, hedging a portfolio of European options using RL…

Computational Engineering, Finance, and Science · Computer Science 2024-07-16 Anil Sharma , Freeman Chen , Jaesun Noh , Julio DeJesus , Mario Schlener

This paper investigates the deep hedging framework, based on reinforcement learning (RL), for the dynamic hedging of swaptions, contrasting its performance with traditional sensitivity-based rho-hedging. We design agents under three…

Risk Management · Quantitative Finance 2025-12-09 Zaniar Ahmadi , Frédéric Godin

We propose AdaNAG, an adaptive accelerated gradient method based on Nesterov's accelerated gradient method. AdaNAG is line-search-free, parameter-free, and achieves the accelerated convergence rates $f(x_k) - f_\star =…

Optimization and Control · Mathematics 2025-05-20 Jaewook J. Suh , Shiqian Ma

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

In this paper, we study the robustness of classical deep hedging strategies under distributional shifts by leveraging the concept of adversarial attacks. We first demonstrate that standard deep hedging models are highly vulnerable to small…

Optimization and Control · Mathematics 2025-10-24 Guangyi He , Tobias Sutter , Lukas Gonon

We show that the Hedge algorithm, a method that is widely used in Machine Learning, can be interpreted as a particular instance of Dual Averaging schemes, which have recently been introduced by Nesterov for regret minimization. Based on…

Optimization and Control · Mathematics 2011-12-07 Michel Baes , Michael Bürgisser