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In this paper, we propose a machine learning (ML) method to learn how to solve a generic constrained continuous optimization problem. To the best of our knowledge, the generic methods that learn to optimize, focus on unconstrained…

机器学习 · 计算机科学 2021-01-05 Seyedrazieh Bayati , Faramarz Jabbarvaziri

Two-stage robust optimization problems constitute one of the hardest optimization problem classes. One of the solution approaches to this class of problems is K-adaptability. This approach simultaneously seeks the best partitioning of the…

最优化与控制 · 数学 2024-10-16 Esther Julien , Krzysztof Postek , Ş. İlker Birbil

In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogate-assisted derivative-free trust-region approach with the…

最优化与控制 · 数学 2023-04-20 Manuel Berkemeier , Sebastian Peitz

Hyperparameter tuning is a challenging problem especially when the system itself involves uncertainty. Due to noisy function evaluations, optimization under uncertainty can be computationally expensive. In this paper, we present a novel…

机器学习 · 计算机科学 2025-10-09 Akash Yadav , Ruda Zhang

Inverse optimization has been increasingly used to estimate unknown parameters in an optimization model based on decision data. We show that such a point estimation is insufficient in a prescriptive setting where the estimated parameters…

最优化与控制 · 数学 2025-02-11 Bo Lin , Erick Delage , Timothy C. Y. Chan

The exponential growth of volume, variety and velocity of data is raising the need for investigations of automated or semi-automated ways to extract useful patterns from the data. It requires deep expert knowledge and extensive…

机器学习 · 计算机科学 2020-07-22 Abbas Raza Ali , Marcin Budka , Bogdan Gabrys

In system analysis and design optimization, multiple computational models are typically available to represent a given physical system. These models can be broadly classified as high-fidelity models, which provide highly accurate…

机器学习 · 计算机科学 2024-11-01 Ruda Zhang , Negin Alemazkoor

We propose an approach for learning optimal tree-based prescription policies directly from data, combining methods for counterfactual estimation from the causal inference literature with recent advances in training globally-optimal decision…

机器学习 · 计算机科学 2020-12-07 Maxime Amram , Jack Dunn , Ying Daisy Zhuo

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

最优化与控制 · 数学 2020-09-22 Polina Alexeenko , Eilyan Bitar

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

We consider robust combinatorial optimization problems where the decision maker can react to a scenario by choosing from a finite set of $k$ solutions. This approach is appropriate for decision problems under uncertainty where the…

最优化与控制 · 数学 2019-03-28 André Chassein , Marc Goerigk , Jannis Kurtz , Michael Poss

We study how to utilize (possibly erroneous) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. Our aim is to minimize the number of queries needed to solve the minimum spanning tree…

数据结构与算法 · 计算机科学 2022-07-01 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

Multilevel optimization has gained renewed interest in machine learning due to its promise in applications such as hyperparameter tuning and continual learning. However, existing methods struggle with the inherent difficulty of efficiently…

机器学习 · 计算机科学 2024-10-16 Yuntian Gu , Xuzheng Chen

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

最优化与控制 · 数学 2022-08-10 Johannes O. Royset

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

最优化与控制 · 数学 2019-05-28 Lukáš Adam , Martin Branda

We explore generalizations of some integrated learning and optimization frameworks for data-driven contextual stochastic optimization that can adapt to heteroscedasticity. We identify conditions on the stochastic program, data generation…

最优化与控制 · 数学 2021-01-11 Rohit Kannan , Güzin Bayraksan , James Luedtke

Ensemble forecasting is, so far, the most successful approach to produce relevant forecasts with an estimation of their uncertainty. The main limitations of ensemble forecasting are the high computational cost and the difficulty to capture…

机器学习 · 计算机科学 2022-12-21 Maximiliano A. Sacco , Juan J. Ruiz , Manuel Pulido , Pierre Tandeo

We introduce a framework for the control of discrete-time switched stochastic systems with uncertain distributions. In particular, we consider stochastic dynamics with additive noise whose distribution lies in an ambiguity set of…

系统与控制 · 电气工程与系统科学 2024-05-21 Ibon Gracia , Dimitris Boskos , Morteza Lahijanian , Luca Laurenti , Manuel Mazo

This paper introduced key aspects of applying Machine Learning (ML) models, improved trading strategies, and the Quasi-Reversibility Method (QRM) to optimize stock option forecasting and trading results. It presented the findings of the…

计算金融 · 定量金融 2022-11-30 Zheng Cao , Raymond Guo , Wenyu Du , Jiayi Gao , Kirill V. Golubnichiy

Robust optimization is a popular paradigm for modeling and solving two- and multi-stage decision-making problems affected by uncertainty. In many real-world applications, the time of information discovery is decision-dependent and the…

最优化与控制 · 数学 2022-08-24 Phebe Vayanos , Angelos Georghiou , Han Yu