Online portfolio selection is a sequential decision-making problem in financial engineering, aiming to construct a portfolio by optimizing the allocation of wealth across a set of assets to achieve the highest return . In this paper, we present a novel context-aware dynamic assets selection problem and propose two innovative online portfolio selection methods named Exp4.ONSE and Exp4.EGE respectively based on contextual bandit algorithms to adapt to the dynamic assets selection scenario. We also provide regret upper bounds for both methods which achieve sublinear regrets. In addition, we analyze the computational complexity of the proposed algorithms, which implies that the computational complexity can be significantly reduced to polynomial time. Extensive experiments demonstrate that our algorithms have marked superiority across representative real-world market datasets in term of efficiency and effectiveness .
As the cornerstone of modern portfolio theory, Markowitz's mean-variance optimization is considered a major model adopted in portfolio management. However, due to the difficulty of estimating its parameters, it cannot be applied to all periods. In some cases, naive strategies such as Equally-weighted and Value-weighted portfolios can even get better performance. Under these circumstances, we can use multiple classic strategies as multiple strategic arms in multi-armed bandit to naturally establish a connection with the portfolio selection problem. This can also help to maximize the rewards in the bandit algorithm by the trade-off between exploration and exploitation . In this paper, we present a portfolio bandit strategy through Thompson sampling which aims to make online portfolio choices by effectively exploiting the performances among multiple arms. Also, by constructing multiple strategic arms, we can obtain the optimal investment portfolio to adapt different investment periods. Moreover, we devise a novel reward function based on users' different investment risk preferences, which can be adaptive to various investment styles. Our experimental results demonstrate that our proposed portfolio strategy has marked superiority across representative real-world market datasets in terms of extensive evaluation criteria .
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Online portfolio selection is a sequential decision-making problem in financial engineering, aiming to construct a portfolio by optimizing the allocation of wealth across a set of assets to achieve the highest return
As the cornerstone of modern portfolio theory, Markowitz's mean-variance optimization is considered a major model adopted in portfolio management. However, due to the difficulty of estimating its parameters, it cannot be applied to all periods. In some cases, naive strategies such as Equally-weighted and Value-weighted portfolios can even get better performance. Under these circumstances, we can use multiple classic strategies as multiple strategic arms in multi-armed bandit to naturally establish a connection with the portfolio selection problem. This can also help to maximize the rewards in the bandit algorithm by the trade-off between exploration and exploitation
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novel context-aware dynamic assets selection problem and propose two innovative online portfolio selection methods named Exp4.ONSE and Exp4.EGE respectively based on contextual bandit algorithms to adapt to the dynamic assets selection scenario. We also provide regret upper bounds for both methods which achieve sublinear regrets. In addition, we analyze the computational complexity of the proposed algorithms, which implies that the computational complexity can be significantly reduced to polynomial time. Extensive experiments
portfolio bandit strategy through Thompson sampling which aims to make online portfolio choices by effectively exploiting the performances among multiple arms. Also, by constructing multiple strategic arms, we can obtain the optimal investment portfolio to adapt different investment periods. Moreover, we devise a novel reward function based on users' different investment risk preferences, which can be adaptive to various investment styles. Our experimental results
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algorithms have
proposed portfolio strategy has
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term of efficiency and effectiveness
terms of extensive evaluation criteria