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Variational quantum Monte Carlo (VMC) combined with neural-network quantum states offers a novel angle of attack on the curse-of-dimensionality encountered in a particular class of partial differential equations (PDEs); namely, the real-…

Numerical Analysis · Mathematics 2022-07-26 Tianchen Zhao , Chuhao Sun , Asaf Cohen , James Stokes , Shravan Veerapaneni

Recently a machine learning approach to Monte-Carlo simulations called Neural Markov Chain Monte-Carlo (NMCMC) is gaining traction. In its most popular form it uses neural networks to construct normalizing flows which are then trained to…

Machine Learning · Statistics 2022-03-01 Piotr Bialas , Piotr Korcyl , Tomasz Stebel

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

Computational Finance · Quantitative Finance 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee

In this study, we discuss a machine learning technique to price exotic options with two underlying assets based on a non-Gaussian Levy process model. We introduce a new multivariate Levy process model named the generalized normal tempered…

Mathematical Finance · Quantitative Finance 2024-03-27 Young Shin Kim , Hyun-Gyoon Kim

The pricing of options, warrants and other derivative securities is one of the great success of financial economics. These financial products can be modeled and simulated using quantum mechanical instruments based on a Hamiltonian…

Soft Condensed Matter · Physics 2008-12-18 Belal E. Baaquie , Claudio Coriano , Marakani Srikant

In this paper we present a new approach to control variates for improving computational efficiency of Ensemble Monte Carlo. We present the approach using simulation of paths of a time-dependent nonlinear stochastic equation. The core idea…

Computational Engineering, Finance, and Science · Computer Science 2008-09-25 T. Borogovac , F. J. Alexander , P. Vakili

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

In sampling tasks, it is common for target distributions to be known up to a normalizing constant. However, in many situations, even evaluating the unnormalized distribution can be costly or infeasible. This issue arises in scenarios such…

Computation · Statistics 2025-02-06 Wei Yuan , Guanyang Wang

This study presents contemporaneous modeling of asset return and price range within the framework of stochastic volatility with leverage. A new representation of the probability density function for the price range is provided, and its…

Computation · Statistics 2021-10-28 Yuta Kurose

Generative adversarial networks (GANs) have emerged as a powerful tool for generating high-fidelity data. However, the main bottleneck of existing approaches is the lack of supervision on the generator training, which often results in…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Baoren Xiao , Hao Ni , Weixin Yang

We introduce a fast and flexible Machine Learning (ML) framework for pricing derivative products whose valuation depends on volatility surfaces. By parameterizing volatility surfaces with the 5-parameter stochastic volatility inspired (SVI)…

Pricing of Securities · Quantitative Finance 2025-05-30 Lijie Ding , Egang Lu , Kin Cheung

In statistics and machine learning, approximation of an intractable integration is often achieved by using the unbiased Monte Carlo estimator, but the variances of the estimation are generally high in many applications. Control variates…

Machine Learning · Statistics 2019-10-16 Ruosi Wan , Mingjun Zhong , Haoyi Xiong , Zhanxing Zhu

We present a unified, market-complete model that integrates both the Bachelier and Black-Scholes-Merton frameworks for asset pricing. The model allows for the study, within a unified framework, of asset pricing in a natural world that…

Mathematical Finance · Quantitative Finance 2024-06-11 W. Brent Lindquist , Svetlozar T. Rachev , Jagdish Gnawali , Frank J. Fabozzi

We describe a regression-based method, generally referred to as the Least Squares Monte Carlo (LSMC) method, to speed up exposure calculations of a portfolio. We assume that the portfolio contains several exotic derivatives that are priced…

Computational Finance · Quantitative Finance 2021-05-18 Yuriy Krepkiy , Asif Lakhany , Amber Zhang

American and Bermudan-type financial instruments are often priced with specific Monte Carlo techniques whose efficiency critically depends on the effective dimensionality of the problem and the available computational power. In our work we…

Pricing of Securities · Quantitative Finance 2021-05-04 Riccardo Aiolfi , Nicola Moreni , Marco Bianchetti , Marco Scaringi , Filippo Fogliani

Monte Carlo (MC) dropout is one of the state-of-the-art approaches for uncertainty estimation in neural networks (NNs). It has been interpreted as approximately performing Bayesian inference. Based on previous work on the approximation of…

Machine Learning · Computer Science 2020-07-13 Joachim Sicking , Maram Akila , Tim Wirtz , Sebastian Houben , Asja Fischer

Traditional neural networks provide deterministic predictions without inherent uncertainty estimates. While Bayesian Neural Networks (BNNs) offer a principled approach to uncertainty quantification, their computational complexity limits…

Machine Learning · Statistics 2026-05-25 Rouaa Hoblos , Noura Dridi , Noureddine Zerhouni , Zeina Al Masry

We address the problem of accurate, training-free guidance for conditional generation in trained diffusion models. Existing methods typically rely on point-estimates to approximate the posterior score, often resulting in biased…

Machine Learning · Statistics 2026-01-30 Aidan Gleich , Scott C. Schmidler

This paper leverages machine learning algorithms to forecast and analyze financial time series. The process begins with a denoising autoencoder to filter out random noise fluctuations from the main contract price data. Then, one-dimensional…

Machine Learning · Computer Science 2025-07-22 Zhuohuan Hu , Richard Yu , Zizhou Zhang , Haoran Zheng , Qianying Liu , Yining Zhou

We proposed classification models that utilize the result from the Quasi-Reversibility Method, which solves the Black-Scholes equation to forecast the option prices one day in advance. Combining the minimizer from QRM with our machine…

Optimization and Control · Mathematics 2025-01-28 Benjamin Jiang , Matthieu Durieux , Kirill V. Golubnichiy