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We propose the deep parametric PDE method to solve high-dimensional parametric partial differential equations. A single neural network approximates the solution of a whole family of PDEs after being trained without the need of sample…

Computational Finance · Quantitative Finance 2020-12-14 Kathrin Glau , Linus Wunderlich

The Constant Elasticity of Variance (CEV) model significantly outperforms the Black-Scholes (BS) model in forecasting both prices and options. Furthermore, the CEV model has a marked advantage in capturing basic empirical regularities such…

Computational Finance · Quantitative Finance 2018-03-29 Axel A. Araneda , Marcelo J. Villena

The remarkable success of Deep Neural Networks(DNN) is driven by gradient-based optimization, yet this process is often undermined by its tendency to produce disordered weight structures, which harms feature clarity and degrades learning…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Anzhe Cheng , Chenzhong Yin , Mingxi Cheng , Shukai Duan , Shahin Nazarian , Paul Bogdan

In this paper, we present MLEANN (Meta-Learning Evolutionary Artificial Neural Network), an automatic computational framework for the adaptive optimization of artificial neural networks wherein the neural network architecture, activation…

Artificial Intelligence · Computer Science 2007-05-23 Ajith Abraham

Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

This paper applies a recurrent neural network (RNN) method to forecast cotton and oil prices. We show how these new tools from machine learning, particularly Long-Short Term Memory (LSTM) models, complement traditional methods. Our results…

Statistical Finance · Quantitative Finance 2021-01-18 Racine Ly , Fousseini Traore , Khadim Dia

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

One popular approach to option pricing in L\'evy models is through solving the related partial integro differential equation (PIDE). For the numerical solution of such equations powerful Galerkin methods have been put forward e.g. by Hilber…

Computational Finance · Quantitative Finance 2016-03-29 Maximilian Gaß , Kathrin Glau

The pricing of Bermudan options amounts to solving a dynamic programming principle, in which the main difficulty, especially in high dimension, comes from the conditional expectation involved in the computation of the continuation value.…

Probability · Mathematics 2020-12-03 Bernard Lapeyre , Jérôme Lelong

Using unitary (instead of general) matrices in artificial neural networks (ANNs) is a promising way to solve the gradient explosion/vanishing problem, as well as to enable ANNs to learn long-term correlations in the data. This approach…

Machine Learning · Computer Science 2017-04-04 Li Jing , Yichen Shen , Tena Dubček , John Peurifoy , Scott Skirlo , Yann LeCun , Max Tegmark , Marin Soljačić

Object recognition is an important task for improving the ability of visual systems to perform complex scene understanding. Recently, the Exponential Linear Unit (ELU) has been proposed as a key component for managing bias shift in…

Machine Learning · Computer Science 2018-01-11 Ludovic Trottier , Philippe Giguère , Brahim Chaib-draa

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

We develop generic and efficient importance sampling estimators for Monte Carlo evaluation of prices of single- and multi-asset European and path-dependent options in asset price models driven by L\'evy processes, extending earlier works…

Risk Management · Quantitative Finance 2016-08-17 Adrien Genin , Peter Tankov

We present NNN, an experimental Transformer-based neural network approach to marketing measurement. Unlike Marketing Mix Models (MMMs) which rely on scalar inputs and parametric decay functions, NNN uses rich embeddings to capture both…

Machine Learning · Computer Science 2025-06-05 Thomas Mulc , Mike Anderson , Paul Cubre , Huikun Zhang , Ivy Liu , Saket Kumar

Graph neural networks (GNN) have been shown to provide substantial performance improvements for atomistic material representation and modeling compared with descriptor-based machine learning models. While most existing GNN models for…

Materials Science · Physics 2022-04-08 Kamal Choudhary , Brian DeCost

We develop a tensor-network surrogate for option pricing, targeting large-scale portfolio revaluation problems arising in market risk management (e.g., VaR and Expected Shortfall computations). The method involves representing…

Pricing of Securities · Quantitative Finance 2026-03-30 Dominic Gribben , Carolina Allende , Alba Villarino , Aser Cortines , Mazen Ali , Román Orús , Pascal Oswald , Noureddine Lehdili

Increasing resolution and coverage of astrophysical and climate data necessitates increasingly sophisticated models, often pushing the limits of computational feasibility. While emulation methods can reduce calculation costs, the neural…

Earth and Planetary Astrophysics · Physics 2025-06-25 Tara P. A. Tahseen , Luís F. Simões , Kai Hou Yip , Nikolaos Nikolaou , João M. Mendonça , Ingo P. Waldmann

Artificial Neural Networks (ANNs) can be viewed as nonlinear sieves that can approximate complex functions of high dimensional variables more effectively than linear sieves. We investigate the performance of various ANNs in nonparametric…

Econometrics · Economics 2022-10-06 Jiafeng Chen , Xiaohong Chen , Elie Tamer

We analyze approximation rates by deep ReLU networks of a class of multi-variate solutions of Kolmogorov equations which arise in option pricing. Key technical devices are deep ReLU architectures capable of efficiently approximating tensor…

Functional Analysis · Mathematics 2021-10-12 Dennis Elbrächter , Philipp Grohs , Arnulf Jentzen , Christoph Schwab

Spiking Neural Networks (SNNs) offer a promising energy-efficient alternative to Artificial Neural Networks (ANNs) by utilizing sparse and asynchronous processing through discrete spike-based computation. However, the performance of deep…

Neural and Evolutionary Computing · Computer Science 2025-10-10 Eric Jahns , Davi Moreno , Michel A. Kinsy