A Constrained Consensus Based Optimization algorithm and its Application to Finance
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TL;DR: In this article, a predictor-corrector type Consensus Based Optimization (CBO) algorithm on a convex feasible set is proposed, which generalizes the CBO algorithm in [11] to tackle a constrained optimization problem for the global minima of the non-convex function defined on convex domain.
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About: This article is published in Applied Mathematics and Computation. The article was published on 01 Mar 2022. and is currently open access. The article focuses on the topics: Feasible region & Maxima and minima.
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Citations
Consensus-based optimization via jump-diffusion stochastic differential equations
TL;DR: In this article , a consensus based optimization (CBOO) method is introduced where an interacting particle system is driven by jump-diffusion stochastic differential equations and well-posedness of the particle system as well as its mean-field limit is studied.
Time-delayed stochastic volatility model
01 Feb 2022
TL;DR: In this article , the authors proposed a multivariate stochastic volatility model with time-delayed interactions, and studied its emergent dynamics, and provided theoretical and numerical solutions of the proposed model and showed that their proposed theoretical framework is sufficient for volatility's exponential convergence toward a constant asymptotic value.
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Time-delayed stochastic volatility model
TL;DR: In this paper, the authors proposed a multivariate stochastic volatility model with time-delayed interactions, and studied its emergent dynamics, and provided theoretical and numerical solutions of the proposed model and showed that their proposed theoretical framework is sufficient for volatility's exponential convergence toward a constant asymptotic value.
3
•Posted Content
Constrained consensus-based optimization
TL;DR: In this article, a consensus-based optimization (CBO) approach combined with suitable penalization techniques is introduced for high dimensional constrained nonlinear optimization problems by particle-based gradient-free techniques.
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