Monte-Carlo Simulations and Applications in Machine Learning, Option Pricing, and Quantum Processes
DOI:
https://doi.org/10.54097/5yrtzt20Keywords:
Monte-Carlo simulation; Machine learning; Optical pricing; Quantum process.Abstract
As a matter of fact, Monte Carlo simulations have evolved as a powerful computational tool with applications spanning various domains in recent years, thanks to the rapid development of computation ability. With this in mind, this research paper explores the application of Monte Carlo simulations in machine learning, optical pricing, and physical quantum processes. To be specific, this study will discuss the methodology of Monte Carlo simulations, present simulation results, and highlight the significance of employing these simulations in diverse fields. Additionally, this study will summary the historical development of Monte Carlo simulations, provide a literature review of main application scenarios, as well as outline the motivation behind this research. At the same time, it will address the current limitations of Monte Carlo simulations in these applications and offer insights into future prospects for usage. Overall, these results shed light on guiding further exploration of implementation in the state-of-art fields.
Downloads
References
Joy D C. An introduction to Monte Carlo simulations. Scanning microscopy, 1991, 5(2): 4.
Earl D J, Deem M W. Monte carlo simulations. Molecular modeling of proteins, 2008: 25-36.
Harrison R L. Introduction to monte carlo simulation. AIP conference proceedings. American Institute of Physics, 2010, 1204(1): 17-21.
Raychaudhuri S. Introduction to monte carlo simulation. 2008 Winter simulation conference. IEEE, 2008: 91-100.
Witten D, James G. An introduction to statistical learning with applications in R. springer publication, 2013.
Williams C K I, Rasmussen C E. Gaussian processes for machine learning. Cambridge, MA: MIT press, 2006.
Goodfellow I, Bengio Y, Courville A. Deep learning. MIT press, 2016.
Bishop C M. Pattern Recognition and Machine Learning. Springer, 2020.
Sutton R S, Barto A G. Reinforcement Learning: An Introduction. The MIT Press, 2021.
Thaler D, Elezaj L, Bamer F, et al. Training data selection for machine learning-enhanced Monte Carlo simulations in structural dynamics. Applied Sciences, 2022, 12(2): 581.
Hull J C. Options, Futures, and Other Derivatives. Pearson, 2021.
Broadie M, Glasserman P. Monte Carlo Methods in Financial Engineering. Springer, 2021.
Gatheral J. The Volatility Surface: A Practitioner's Guide. Wiley, 2020.
Carmona R. Statistical Analysis of Financial Data in R. Springer, 2020.
Reuer J J. Real options theory in strategic management. Strategic Management Journal, 2017, 38(1): 42-63.
Smith A B. Modern Techniques in Financial Simulation. McGraw-Hill Education, 2021.
Sachdev S. Quantum Phase Transitions. Cambridge University Press, 2021.
Nielsen M A, Chuang I L. Quantum Computation and Quantum Information. Cambridge University Press, 2020.
Preskill J. Quantum Computing in the NISQ era and beyond. Quantum, 2020, 2: 79.
Kitaev A, Shen A H, Vyalyi M N. Classical and Quantum Computation. American Mathematical Society, 2021.
Vidal G. Entanglement Renormalization. Springer, 2020.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Highlights in Science, Engineering and Technology

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.







