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We propose to use deep learning to estimate parameters in statistical models when standard likelihood estimation methods are computationally infeasible. We show how to estimate parameters from max-stable processes, where inference is…

Methodology · Statistics 2021-08-02 Amanda Lenzi , Julie Bessac , Johann Rudi , Michael L. Stein

Generating realistic synthetic option prices requires implied volatility as an input, yet implied volatility is itself derived from observed option prices, creating a circular dependency that limits synthetic data for machine-learning and…

Computational Finance · Quantitative Finance 2026-05-15 Julia Sun , Zheyu Jin , Jiawei Zhang , Jeffrey D. Varner

We present a deep long short-term memory (LSTM)-based neural network for predicting asset prices, together with a successful trading strategy for generating profits based on the model's predictions. Our work is motivated by the fact that…

Statistical Finance · Quantitative Finance 2019-05-09 Chariton Chalvatzis , Dimitrios Hristu-Varsakelis

Efficient sampling for the conditional time integrated variance process in the Heston stochastic volatility model is key to the simulation of the stock price based on its exact distribution. We construct a new series expansion for this…

Pricing of Securities · Quantitative Finance 2021-01-08 Simon J. A. Malham , Jiaqi Shen , Anke Wiese

An accurate and efficient simulation of the hysteretic behavior of materials and components is essential for structural analysis. The surrogate model based on neural networks shows significant potential in balancing efficiency and accuracy.…

Machine Learning · Computer Science 2023-06-21 Yongjia Xu , Xinzheng Lu , Yifan Fei , Yuli Huang

In this paper, we relax the power parameter of instantaneous variance and develop a new stochastic volatility plus jumps model that generalize the Heston model and 3/2 model as special cases. This model has two distinctive features. First,…

Mathematical Finance · Quantitative Finance 2017-03-20 Wei Lin , Shenghong Li , Shane Chern

We consider the Heston model as an example of a parameterized parabolic partial differential equation. A space-time variational formulation is derived that allows for parameters in the coefficients (for calibration) as well as choosing the…

Numerical Analysis · Mathematics 2014-08-13 Antonia Mayerhofer , Karsten Urban

We propose a new pseudo-Siamese Network for Asset Pricing (SNAP) model, based on deep learning approaches, for conditional asset pricing. Our model allows for the deep alpha, deep beta and deep factor risk premia conditional on high…

Computational Finance · Quantitative Finance 2025-09-08 Hongyi Liu

Tree structured graphical models are powerful at expressing long range or hierarchical dependency among many variables, and have been widely applied in different areas of computer science and statistics. However, existing methods for…

Machine Learning · Statistics 2014-01-17 Le Song , Han Liu , Ankur Parikh , Eric Xing

In this paper an improved Cuckoo Search Algorithm is developed to allow for an efficient and robust calibration of the Heston option pricing model for American options. Calibration of stochastic volatility models like the Heston is…

Neural and Evolutionary Computing · Computer Science 2015-08-03 Stefan Haring , Ronald Hochreiter

We study the use of Temporal-Difference learning for estimating the structural parameters in dynamic discrete choice models. Our algorithms are based on the conditional choice probability approach but use functional approximations to…

Econometrics · Economics 2022-12-23 Karun Adusumilli , Dita Eckardt

Recognizing the importance of jump risk in option pricing, we propose a neural jump stochastic differential equation model in this paper, which integrates neural networks as parameter estimators in the conventional jump diffusion model. To…

General Finance · Quantitative Finance 2025-06-06 Duosi Zheng , Hanzhong Guo , Yanchu Liu , Wei Huang

This paper presents a new model for options pricing. The Black-Scholes-Merton (BSM) model plays an important role in financial options pricing. However, the BSM model assumes that the risk-free interest rate, volatility, and equity premium…

Mathematical Finance · Quantitative Finance 2024-08-29 Nicole Hao , Echo Li , Diep Luong-Le

The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the…

Mathematical Finance · Quantitative Finance 2023-12-15 Alexander M. G. Cox , Annemarie M. Grass

Modeling high-dimensional, nonlinear dynamic structural systems under natural hazards presents formidable computational challenges, especially when simultaneously accounting for uncertainties in external loads and structural parameters.…

Machine Learning · Computer Science 2026-03-13 Haimiti Atila , Seymour M. J. Spence

The aim of this paper is to propose a suitable method for constructing prediction intervals for the output of neural network models. To do this, we adapt the extremely randomized trees method originally developed for random forests to…

Machine Learning · Statistics 2021-05-14 Tullio Mancini , Hector Calvo-Pardo , Jose Olmo

While asset-pricing models increasingly recognize that factor risk premia are subject to structural change, existing literature typically assumes that investors correctly account for such instability. This paper studies how investors…

Portfolio Management · Quantitative Finance 2026-04-02 Yimeng Qiu

The value of an American option is the maximized value of the discounted cash flows from the option. At each time step, one needs to compare the immediate exercise value with the continuation value and decide to exercise as soon as the…

Computational Finance · Quantitative Finance 2023-06-27 Zineb El Filali Ech-Chafiq , Pierre Henry-Labordere , Jérôme Lelong

We consider high-dimensional asset price models that are reduced in their dimension in order to reduce the complexity of the problem or the effect of the curse of dimensionality in the context of option pricing. We apply model order…

Probability · Mathematics 2021-04-02 Martin Redmann , Christian Bayer , Pawan Goyal

The rough Heston model is a very popular recent model in mathematical finance; however, the lack of Markov and semimartingale properties poses significant challenges in both theory and practice. A way to resolve this problem is to use…

Computational Finance · Quantitative Finance 2023-09-14 Christian Bayer , Simon Breneis
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