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This paper describes a novel approach to planning which takes advantage of decision theory to greatly improve robustness in an uncertain environment. We present an algorithm which computes conditional plans of maximum expected utility. This…

人工智能 · 计算机科学 2013-02-28 Stephen G. Pimentel , Lawrence M. Brem

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

系统与控制 · 电气工程与系统科学 2025-01-20 Chung-Han Hsieh

Many of the successes of machine learning are based on minimizing an averaged loss function. However, it is well-known that this paradigm suffers from robustness issues that hinder its applicability in safety-critical domains. These issues…

机器学习 · 计算机科学 2022-06-09 Alexander Robey , Luiz F. O. Chamon , George J. Pappas , Hamed Hassani

This paper is concerned with portfolio optimization models for creating high-quality lists of recommended items to balance the accuracy and diversity of recommendations. However, the statistics (i.e., expectation and covariance of ratings)…

信息检索 · 计算机科学 2024-10-01 Tomoya Yanagi , Shunnosuke Ikeda , Yuichi Takano

We study a discrete-time portfolio selection problem with partial information and maxi\-mum drawdown constraint. Drift uncertainty in the multidimensional framework is modeled by a prior probability distribution. In this Bayesian framework,…

投资组合管理 · 定量金融 2020-11-02 Carmine De Franco , Johann Nicolle , Huyên Pham

This paper studies a discrete-time mean-variance model based on reinforcement learning. Compared with its continuous-time counterpart in \cite{zhou2020mv}, the discrete-time model makes more general assumptions about the asset's return…

数理金融 · 定量金融 2023-12-27 Xiangyu Cui , Xun Li , Yun Shi , Si Zhao

In this paper, we study an insurer's reinsurance-investment problem under a mean-variance criterion. We show that excess-loss is the unique equilibrium reinsurance strategy under a spectrally negative L\'{e}vy insurance model when the…

风险管理 · 定量金融 2017-03-22 Danping Li , Dongchen Li , Virginia R. Young

This paper studies a variation of the continuous-time mean-variance portfolio selection where a tracking-error penalization is added to the mean-variance criterion. The tracking error term penalizes the distance between the allocation…

计算金融 · 定量金融 2020-09-21 William Lefebvre , Gregoire Loeper , Huyên Pham

The Sharpe ratio is a way to compare the excess returns (over the risk free asset) of portfolios for each unit of volatility that is generated by a portfolio. In this paper we introduce a robust Sharpe ratio portfolio under the assumption…

投资组合管理 · 定量金融 2020-05-28 Juan F. Monge , Mercedes Landete , José L. Ruiz

In portfolio optimization, decision makers face difficulties from uncertainties inherent in real-world scenarios. These uncertainties significantly influence portfolio outcomes in both classical and multi-objective Markowitz models. To…

投资组合管理 · 定量金融 2026-01-07 Yannick Becker , Pascal Halffmann , Anita Schöbel

We consider the problem of robustly maximizing the growth rate of investor wealth in the presence of model uncertainty. Possible models are all those under which the assets' region $E$ and instantaneous covariation $c$ are known, and where…

投资组合管理 · 定量金融 2018-01-22 Constantinos Kardaras , Scott Robertson

In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

计算复杂性 · 计算机科学 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

最优化与控制 · 数学 2024-04-30 Marc Goerigk , Mohammad Khosravi

We introduce a universal framework for mean-covariance robust risk measurement and portfolio optimization. We model uncertainty in terms of the Gelbrich distance on the mean-covariance space, along with prior structural information about…

投资组合管理 · 定量金融 2025-10-02 Viet Anh Nguyen , Soroosh Shafiee , Damir Filipović , Daniel Kuhn

This paper presents a deep reinforcement learning (DRL) framework for dynamic portfolio optimization under market uncertainty and risk. The proposed model integrates a Sharpe ratio-based reward function with direct risk control mechanisms,…

投资组合管理 · 定量金融 2025-11-17 Emmanuel Lwele , Sabuni Emmanuel , Sitali Gabriel Sitali

In several applications such as clinical trials and financial portfolio optimization, the expected value (or the average reward) does not satisfactorily capture the merits of a drug or a portfolio. In such applications, risk plays a crucial…

机器学习 · 统计学 2022-05-13 Vincent Y. F. Tan , Prashanth L. A. , Krishna Jagannathan

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true cost is revealed. Also known as min-max-min robustness (a…

最优化与控制 · 数学 2019-10-29 Marc Goerigk , Jannis Kurtz , Michael Poss

Robust optimization(RO) is an important tool for handling optimization problem with uncertainty. The main objective of RO is to solve optimization problems due to uncertainty associated with constraints satisfying all realizations of…

最优化与控制 · 数学 2025-04-02 Parthasarathi Mondal , Akshay Kumar Ojha

Index tracking is a popular form of asset management. Typically, a quadratic function is used to define the tracking error of a portfolio and the look back approach is applied to solve the index tracking problem. We argue that a forward…

投资组合管理 · 定量金融 2021-07-27 Spiridon Penev , Pavel Shevchenko , Wei Wu

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

最优化与控制 · 数学 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo