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Computer models play a key role in many scientific and engineering problems. One major source of uncertainty in computer model experiment is input parameter uncertainty. Computer model calibration is a formal statistical procedure to infer…

Machine Learning · Statistics 2020-09-09 Saumya Bhatnagar , Won Chang , Seonjin Kim Jiali Wang

Options have provided a field of much study because of the complexity involved in pricing them. The Black-Scholes equations were developed to price options but they are only valid for European styled options. There is added complexity when…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Michael Maio Pires , Tshilidzi Marwala

Deep neural network (DNN) regression models are widely used in applications requiring state-of-the-art predictive accuracy. However, until recently there has been little work on accurate uncertainty quantification for predictions from such…

Methodology · Statistics 2020-09-07 Nadja Klein , David J. Nott , Michael Stanley Smith

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

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

Many problems in machine learning are naturally expressed in the language of undirected graphical models. Here, we propose black-box learning and inference algorithms for undirected models that optimize a variational approximation to the…

Machine Learning · Computer Science 2017-11-20 Volodymyr Kuleshov , Stefano Ermon

An efficient computational algorithm to price financial derivatives is presented. It is based on a path integral formulation of the pricing problem. It is shown how the path integral approach can be worked out in order to obtain fast and…

Statistical Mechanics · Physics 2009-11-07 G. Montagna , O. Nicrosini , N. Moreni

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

The application of deep learning techniques for predicting stock market prices is a prominent and widely researched topic in the field of data science. To effectively predict market trends, it is essential to utilize a diversified dataset.…

Computational Finance · Quantitative Finance 2024-07-18 Yuhui Jin

Traditional deep neural nets (NNs) have shown the state-of-the-art performance in the task of classification in various applications. However, NNs have not considered any types of uncertainty associated with the class probabilities to…

Machine Learning · Computer Science 2019-10-16 Xujiang Zhao , Yuzhe Ou , Lance Kaplan , Feng Chen , Jin-Hee Cho

Extracting the risk neutral density (RND) function from option prices is well defined in principle, but is very sensitive to errors in practice. For risk management, knowledge of the entire RND provides more information for Value-at-Risk…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Jerome V. Healy , Maurice Dixon , Brian J. Read , Fang Fang Cai

In this paper, we propose a machine learning algorithm for time-inconsistent portfolio optimization. The proposed algorithm builds upon neural network based trading schemes, in which the asset allocation at each time point is determined by…

Portfolio Management · Quantitative Finance 2023-09-06 Kristoffer Andersson , Cornelis W. Oosterlee

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

Financial markets are difficult to predict due to its complex systems dynamics. Although there have been some recent studies that use machine learning techniques for financial markets prediction, they do not offer satisfactory performance…

Statistical Finance · Quantitative Finance 2022-01-31 Jia Wang , Tong Sun , Benyuan Liu , Yu Cao , Degang Wang

Uncertainty quantification is an important part of many performance critical applications. This paper provides a simple alternative to existing approaches such as ensemble learning and bayesian neural networks. By directly modeling the loss…

Machine Learning · Computer Science 2024-08-28 Yi Hung Lim

This article proposes a calibration framework for complex option pricing models that jointly fits market option prices and the term structure of variance. Calibrated models under the conventional objective function, the sum of squared…

General Finance · Quantitative Finance 2025-09-11 Jiwook Yoo

We present a neural network (NN) approach to fit and predict implied volatility surfaces (IVSs). Atypically to standard NN applications, financial industry practitioners use such models equally to replicate market prices and to value other…

Pricing of Securities · Quantitative Finance 2020-10-27 Damien Ackerer , Natasa Tagasovska , Thibault Vatter

Deep neural network (DNN) classifiers are often overconfident, producing miscalibrated class probabilities. In high-risk applications like healthcare, practitioners require $\textit{fully calibrated}$ probability predictions for…

Machine Learning · Statistics 2022-12-09 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Quantum neural networks (QNNs) provide expressive probabilistic models by leveraging quantum superposition and entanglement, yet their practical training remains challenging due to highly oscillatory loss landscapes and noise inherent to…

Quantum Physics · Physics 2026-01-26 Jaemin Seo

Machine learning in asset pricing typically predicts expected returns as point estimates, ignoring uncertainty. We develop new methods to construct forecast confidence intervals for expected returns obtained from neural networks. We show…

Econometrics · Economics 2025-03-04 Yuan Liao , Xinjie Ma , Andreas Neuhierl , Linda Schilling