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CBO algorithm with average drift and applications to portfolio optimization

delete2026-03-01
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PRE
AI
H
Hyeong-Ohk Bae
H
Ha, Seung-Yeal
M
Min, Chanho
J
Jane Yoo
J
Jaeyoung Yoon *
DOI:10.1016/j.cam.2026.117535delete
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Abstract

Abstract

En 中文
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.
Keywords:
Consensus based optimization
Adaptive momentum
Average drift
Portfolio selection
Regret bound

Journal

J
Journal of Computational and Applied Mathematics
IF:
2.6
Papers:
336
Citations:
0

Organization

T
technical university of munich
Scholars:
6.9K
Papers: 2.8K
Citations: 1
A
Ajou University
Scholars:
1.1W
Papers: 1.0W
Citations: 8.9K