CBO algorithm with average drift and applications to portfolio optimization

Fuente: arXiv
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Autori principali: Bae, Hyeong-Ohk, Ha, Seung-Yeal, Min, Chanho, Yoo, Jane, Yoon, Jaeyoung
Natura: Preprint
Pubblicazione: 2026
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author Bae, Hyeong-Ohk
Ha, Seung-Yeal
Min, Chanho
Yoo, Jane
Yoon, Jaeyoung
author_facet Bae, Hyeong-Ohk
Ha, Seung-Yeal
Min, Chanho
Yoo, Jane
Yoon, Jaeyoung
contents We propose a consensus based optimization algorithm with average drift (in short Ad-CBO) and provide a theoretical framework for it. In the theoretical analysis, we show that particle solutions to Ad-CBO converge to a global minimizer. In numerical simulations, we examine Ad-CBO's performance in optimizing static and dynamic objective functions. As a real-time application, we test the efficiency of Ad-CBO to find the optimal portfolio given stochastically evolving multi-asset prices in a financial market. The proposed Ad-CBO exhibits higher searching speed, lower tracking errors and regret bound than the CBO without stochastic diffusion
format Preprint
id arxiv_https___arxiv_org_abs_2602_19204
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle CBO algorithm with average drift and applications to portfolio optimization
Bae, Hyeong-Ohk
Ha, Seung-Yeal
Min, Chanho
Yoo, Jane
Yoon, Jaeyoung
Optimization and Control
Dynamical Systems
We propose a consensus based optimization algorithm with average drift (in short Ad-CBO) and provide a theoretical framework for it. In the theoretical analysis, we show that particle solutions to Ad-CBO converge to a global minimizer. In numerical simulations, we examine Ad-CBO's performance in optimizing static and dynamic objective functions. As a real-time application, we test the efficiency of Ad-CBO to find the optimal portfolio given stochastically evolving multi-asset prices in a financial market. The proposed Ad-CBO exhibits higher searching speed, lower tracking errors and regret bound than the CBO without stochastic diffusion
title CBO algorithm with average drift and applications to portfolio optimization
topic Optimization and Control
Dynamical Systems
url https://arxiv.org/abs/2602.19204