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This paper presents a discrete-time option pricing model that is rooted in Reinforcement Learning (RL), and more specifically in the famous Q-Learning method of RL. We construct a risk-adjusted Markov Decision Process for a discrete-time…

Computational Finance · Quantitative Finance 2019-09-04 Igor Halperin

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a…

Computational Finance · Quantitative Finance 2021-03-23 Sebastian Becker , Patrick Cheridito , Arnulf Jentzen

Deep Learning models have become dominant in tackling financial time-series analysis problems, overturning conventional machine learning and statistical methods. Most often, a model trained for one market or security cannot be directly…

Machine Learning · Computer Science 2022-07-26 Mostafa Shabani , Dat Thanh Tran , Juho Kanniainen , Alexandros Iosifidis

This paper presents the concept of "model-based neural network"(MNN), which is inspired by the classic artificial neural network (ANN) but for different usages. Instead of being used as a data-driven classifier, a MNN serves as a modeling…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Yi Jiang , Tianyi Zhang , Wei Zhang

We present an actor-critic-type reinforcement learning algorithm for solving the problem of hedging a portfolio of financial instruments such as securities and over-the-counter derivatives using purely historic data. The key characteristics…

Computational Finance · Quantitative Finance 2024-06-26 Hans Buehler , Phillip Murray , Ben Wood

We present an approximation method based on the mixing formula (Hull & White 1987, Romano & Touzi 1997) for pricing European options in Barndorff-Nielsen and Shephard models. This approximation is based on a Taylor expansion of the option…

Computational Finance · Quantitative Finance 2024-04-22 Álvaro Guinea Juliá , Alet Roux

Deep hedging uses recurrent neural networks to hedge financial products that cannot be fully hedged in incomplete markets. Previous work in this area focuses on minimizing some measure of quadratic hedging error by calculating pathwise…

Mathematical Finance · Quantitative Finance 2025-10-21 Alok Das , Kiseop Lee

Short-term load forecasting (STLF) is challenging due to complex time series (TS) which express three seasonal patterns and a nonlinear trend. This paper proposes a novel hybrid hierarchical deep learning model that deals with multiple…

Machine Learning · Computer Science 2021-12-07 Slawek Smyl , Grzegorz Dudek , Paweł Pełka

Bayesian Neural Networks (BNNs) are trained to optimize an entire distribution over their weights instead of a single set, having significant advantages in terms of, e.g., interpretability, multi-task learning, and calibration. Because of…

Machine Learning · Computer Science 2022-10-07 Jary Pomponi , Simone Scardapane , Aurelio Uncini

Mathematical modelling is ubiquitous in the financial industry and drives key decision processes. Any given model provides only a crude approximation to reality and the risk of using an inadequate model is hard to detect and quantify. By…

Mathematical Finance · Quantitative Finance 2020-07-09 Patryk Gierjatowicz , Marc Sabate-Vidales , David Šiška , Lukasz Szpruch , Žan Žurič

Kernel-based nonparametric models have become very attractive for model-based control approaches for nonlinear systems. However, the selection of the kernel and its hyperparameters strongly influences the quality of the learned model.…

Systems and Control · Electrical Eng. & Systems 2019-09-13 Thomas Beckers , Somil Bansal , Claire J. Tomlin , Sandra Hirche

The performance of deep neural networks (DNN) is very sensitive to the particular choice of hyper-parameters. To make it worse, the shape of the learning curve can be significantly affected when a technique like batchnorm is used. As a…

Machine Learning · Computer Science 2019-05-24 Hyunghun Cho , Yongjin Kim , Eunjung Lee , Daeyoung Choi , Yongjae Lee , Wonjong Rhee

This paper presents a general framework for constructing reduced models that approximate the Boltzmann equation with arbitrary orders of accuracy in terms of the Knudsen number $\mathit{Kn}$, applicable to general collision models in…

Mathematical Physics · Physics 2025-05-19 Zhenning Cai , Ruo Li , Yixiao Lu , Yanli Wang

Foundation models and their checkpoints have significantly advanced deep learning, boosting performance across various applications. However, fine-tuned models often struggle outside their specific domains and exhibit considerable…

Establishing accurate field development parameters to optimize long-term oil production takes time and effort due to the complexity of oil well development, and the uncertainty in estimating long-term well production. Traditionally, oil and…

Machine Learning · Computer Science 2024-02-27 Anjie Liu , Jinglang W. Sun , Anh Ngo , Ademide O. Mabadeje , Jose L. Hernandez-Mejia

We consider two data-driven approaches to hedging, Reinforcement Learning and Deep Trajectory-based Stochastic Optimal Control, under a stepwise mean-variance objective. We compare their performance for a European call option in the…

Computational Finance · Quantitative Finance 2023-11-22 Ali Fathi , Bernhard Hientzsch

Crash prediction is a critical component of road safety analyses. A widely adopted approach to crash prediction is application of regression based techniques. The underlying calibration process is often time-consuming, requiring significant…

Machine Learning · Computer Science 2018-12-20 Guangyuan Pan , Liping Fu , Lalita Thakali , Matthew Muresan , Ming Yu

Nowadays refinery optimization utilizes sheer amounts of data, which can be handled with modern Linear Programming (LP) software, but the interpreting and applying the results remains challenging. Large petrochemical companies use massive…

Hidden Markov Models (HMMs) are fundamental for modeling sequential data, yet learning their parameters from observations remains challenging. Classical methods like the Baum-Welch algorithm are computationally intensive and prone to local…

Machine Learning · Computer Science 2026-04-27 Reginald Zhiyan Chen , Heng-Sheng Chang , Prashant G. Mehta

This paper explores the use of deep residual networks for pricing European options on Petrobras, one of the world's largest oil and gas producers, and compares its performance with the Black-Scholes (BS) model. Using eight years of…

Statistical Finance · Quantitative Finance 2025-04-30 Joao Felipe Gueiros , Hemanth Chandravamsi , Steven H. Frankel