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We propose a distributionally robust formulation of the traditional risk parity portfolio optimization problem. Distributional robustness is introduced by targeting the discrete probabilities attached to each observation used during…

最优化与控制 · 数学 2021-10-14 Giorgio Costa , Roy H. Kwon

We consider the problem of the statistical uncertainty of the correlation matrix in the optimization of a financial portfolio. We show that the use of clustering algorithms can improve the reliability of the portfolio in terms of the ratio…

物理与社会 · 物理学 2008-12-02 Vincenzo Tola , Fabrizio Lillo , Mauro Gallegati , Rosario N. Mantegna

Portfolio optimization is one of the most studied optimization problems at the intersection of quantum computing and finance. In this work, we develop the first quantum formulation for a portfolio optimization problem with higher-order…

量子物理 · 物理学 2026-01-28 Valter Uotila , Julia Ripatti , Bo Zhao

We consider portfolio optimization in futures markets. We model the entire futures price curve at once as a solution of a stochastic partial differential equation. The agents objective is to maximize her utility from the final wealth when…

投资组合管理 · 定量金融 2012-04-13 Fred Espen Benth , Jukka Lempa

Robust estimation for modern portfolio selection on a large set of assets becomes more important due to large deviation of empirical inference on big data. We propose a distributionally robust methodology for high-dimensional mean-variance…

统计方法学 · 统计学 2024-09-12 Ruike Wu , Yanrong Yang , Han Lin Shang , Huanjun Zhu

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

数据结构与算法 · 计算机科学 2018-05-22 Yasushi Kawase , Hanna Sumita

Feedback-based online optimization algorithms have gained traction in recent years because of their simple implementation, their ability to reject disturbances in real time, and their increased robustness to model mismatch. While the…

最优化与控制 · 数学 2019-05-20 Marcello Colombino , John W. Simpson-Porco , Andrey Bernstein

Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

数据结构与算法 · 计算机科学 2019-05-14 Will Ma , David Simchi-Levi

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

机器学习 · 统计学 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new…

投资组合管理 · 定量金融 2024-09-10 Jonathan Raimana Chan , Thomas Huckle , Antoine Jacquier , Aitor Muguruza

In this paper, we study stochastic coupon probing problem in social networks. Assume there is a social network and a set of coupons. We can offer coupons to some users adaptively and those users who accept the offer will act as seeds and…

社会与信息网络 · 计算机科学 2018-07-11 Shaojie Tang

We address the challenge of finding algorithms for online allocation (i.e. bipartite matching) using a machine learning approach. In this paper, we focus on the AdWords problem, which is a classical online budgeted matching problem of both…

机器学习 · 计算机科学 2020-10-19 Goran Zuzic , Di Wang , Aranyak Mehta , D. Sivakumar

We investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs. We first assume that only the constraints of the program are affected by uncertainty, while the…

最优化与控制 · 数学 2020-09-29 George Pantazis , Filiberto Fele , Kostas Margellos

We extend the classical mean-variance (MV) framework and propose a robust and sparse portfolio selection model incorporating an ellipsoidal uncertainty set to reduce the impact of estimation errors and fixed transaction costs to penalize…

投资组合管理 · 定量金融 2024-12-30 J. Chen , S. D. Ahipaşaoğlu , N. Zhang , Y. Yang

Stochastic and (distributionally) robust optimization problems often become computationally challenging as the number of scenarios or data points increases. Scenario reduction is therefore a key technique for improving tractability. We…

最优化与控制 · 数学 2026-03-10 Kevin-Martin Aigner , Sebastian Denzler , Frauke Liers , Sebastian Pokutta , Kartikey Sharma

In this paper, we explore the challenge of assortment planning in the context of quick-commerce, a rapidly-growing business model that aims to deliver time-sensitive products. In order to achieve quick delivery to satisfy the immediate…

最优化与控制 · 数学 2025-08-06 Yajing Chen , Taotao He , Ying Rong , Yunlong Wang

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

人工智能 · 计算机科学 2013-02-08 Carla P. Gomes , Bart Selman

We study a discrete portfolio pricing problem that selects one price per product from a finite menu under margin and fairness constraints. To account for demand uncertainty, we incorporate a budgeted robust formulation that controls…

最优化与控制 · 数学 2026-03-20 Zi Yuan Eric Shao

We extend Robust Optimization to fractional programming, where both the objective and the constraints contain uncertain parameters. Earlier work did not consider uncertainty in both the objective and the constraints, or did not use Robust…

最优化与控制 · 数学 2015-08-21 Bram L. Gorissen

We study a general online combinatorial auction problem in algorithmic mechanism design. A provider allocates multiple types of capacity-limited resources to customers that arrive in a sequential and arbitrary manner. Each customer has a…

计算机科学与博弈论 · 计算机科学 2023-10-10 Xiaoqi Tan , Alberto Leon-Garcia , Yuan Wu , Danny H. K. Tsang