MACHINE LEARNING TECHNIQUES APPLIED TO ROBUST OPTIMAL CONTROL PROBLEMS

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Date

2024-04-19

Authors

Zhangunissov, Dilzhan

Journal Title

Journal ISSN

Volume Title

Publisher

Nazarbayev University School of Sciences and Humanities

Abstract

This project aims to solve the discrete time stochastic optimal control problem of evaluation of Average Value-at-Risk (AVaR) function. AVaR is an important tool in market risk management used to measure the risk. In the paper it was designed as a sequential decision model and solved by formulating an optimal control problem of minimizing the value. Brute force and Approximate Dynamic Programming (ADP) techniques were used for exact and approximate solutions respectively. Golden section search was used to solve the problem completely. The numerical experiments conducted at the end showed the effectiveness of the algorithm in evaluating the AVaR.

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Keywords

Type of access: Open Access, approximate dynamic programming, average value-at-risk, optimal control, Markov decision processes

Citation

Zhangunissov, D. (2024). Machine Learning Techniques Applied To Robust Optimal Control Problems. Nazarbayev University School of Sciences and Humanities