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The only rigorous approaches for achieving a numerical proof of optimality in global optimization are interval-based methods that interleave branching of the search-space and pruning of the subdomains that cannot contain an optimal…

Artificial Intelligence · Computer Science 2015-10-20 Charlie Vanaret , Jean-Baptiste Gotteland , Nicolas Durand , Jean-Marc Alliot

This paper presents the main characteristics of the evolutionary optimization code named EOS, Evolutionary Optimization at Sapienza, and its successful application to challenging, real-world space trajectory optimization problems. EOS is a…

Neural and Evolutionary Computing · Computer Science 2020-07-14 Lorenzo Federici , Boris Benedikter , Alessandro Zavoli

Great efforts have been dedicated in recent years to explore practical applications for noisy intermediate-scale quantum (NISQ) computers, which is a fundamental and challenging problem in quantum computing. As one of the most promising…

Data-driven evolutionary algorithms usually aim to exploit the information behind a limited amount of data to perform optimization, which have proved to be successful in solving many complex real-world optimization problems. However, most…

Artificial Intelligence · Computer Science 2023-09-06 Qiqi Liu , Yuping Yan , Peter Ligeti , Yaochu Jin

Analytical and practical evidence indicates the advantage of quantum computing solutions over classical alternatives. Quantum-based heuristics relying on the variational quantum eigensolver (VQE) and the quantum approximate optimization…

Quantum Physics · Physics 2023-01-05 Sarthak Gupta , Vassilis Kekatos

We introduce a variational quantum algorithm to solve unconstrained black box binary optimization problems, i.e., problems in which the objective function is given as black box. This is in contrast to the typical setting of quantum…

Quantum Hamiltonian Descent (QHD) is a continuous optimization algorithm based on simulating a time-dependent quantum Hamiltonian whose potential energy encodes the objective function and whose kinetic energy promotes exploration through…

Quantum Physics · Physics 2026-05-13 Zeguan Wu , Mingze Li , Muqing Zheng , Meng Wang , Junyu Liu , Samuel Stein , Ang Li , Yousu Chen , Chenxu Liu

Differential Evolution (DE) proved to be one of the most successful evolutionary algorithms for global optimization purposes in continuous problems. The core operator in DE is mutation which can provide the algorithm with both exploration…

Neural and Evolutionary Computing · Computer Science 2016-04-12 H. Sharifi Noghabi , H. Rajabi Mashhadi , K. Shojaei

Quality diversity~(QD) is a branch of evolutionary computation that gained increasing interest in recent years. The Map-Elites QD approach defines a feature space, i.e., a partition of the search space, and stores the best solution for each…

Neural and Evolutionary Computing · Computer Science 2023-07-06 Jakob Bossek , Dirk Sudholt

Evolutionary algorithms have been successful in solving multi-objective optimization problems (MOPs). However, as a class of population-based search methodology, evolutionary algorithms require a large number of evaluations of the objective…

Neural and Evolutionary Computing · Computer Science 2024-08-16 Xueming Yan , Yaochu Jin

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Quantum computing is poised to transform the financial industry, yet its advantages over traditional methods have not been evidenced. As this technology rapidly evolves, benchmarking is essential to fairly evaluate and compare different…

Optimization and Control · Mathematics 2025-02-11 Ying Chen , Thorsten Koch , Hanqiu Peng , Hongrui Zhang

With the rapid development of quantum computers, several applications are being proposed for them. Quantum simulations, simulation of chemical reactions, solution of optimization problems and quantum neural networks (QNNs) are some…

Quantum Physics · Physics 2023-03-02 Lucas Friedrich , Jonas Maziero

This study first reviews fuzzy random Portfolio selection theory and describes the concept of portfolio optimization model as a useful instrument for helping finance practitioners and researchers. Second, this paper specifically aims at…

Optimization and Control · Mathematics 2014-02-18 Mir Ehsan Hesam Sadati , Ali Doniavi

A sequential quadratic programming method is designed for solving general smooth nonlinear stochastic optimization problems subject to expectation equality constraints. We consider the setting where the objective and constraint function…

Optimization and Control · Mathematics 2026-03-17 Haoming Shen , Yang Zeng , Baoyu Zhou

Dynamic multimodal multiobjective optimization presents the dual challenge of simultaneously tracking multiple equivalent pareto optimal sets and maintaining population diversity in time-varying environments. However, existing dynamic…

Artificial Intelligence · Computer Science 2025-12-23 Li Yan , Bolun Liu , Chao Li , Jing Liang , Kunjie Yu , Caitong Yue , Xuzhao Chai , Boyang Qu

A critical problem in the financial world deals with the management of risk, from regulatory risk to portfolio risk. Many such problems involve the analysis of securities modelled by complex dynamics that cannot be captured analytically,…

Quantum Physics · Physics 2025-04-03 Jeong Yu Han , Bin Cheng , Dinh-Long Vu , Patrick Rebentrost

This paper proposes a generalized Hybrid Real-coded Quantum Evolutionary Algorithm (HRCQEA) for optimizing complex functions as well as combinatorial optimization. The main idea of HRCQEA is to devise a new technique for mutation and…

Neural and Evolutionary Computing · Computer Science 2013-03-07 Md. Amjad Hossain , Md. Kawser Hossain , M. M. A. Hashem

Simulating the time evolution of Partial Differential Equations (PDEs) of large-scale systems is crucial in many scientific and engineering domains such as fluid dynamics, weather forecasting and their inverse optimization problems.…

Machine Learning · Computer Science 2022-10-13 Tailin Wu , Takashi Maruyama , Jure Leskovec

This paper presents how the most recent improvements made on covariance matrix estimation and model order selection can be applied to the portfolio optimisation problem. The particular case of the Maximum Variety Portfolio is treated but…

Applications · Statistics 2018-04-03 Emmanuelle Jay , Eugénie Terreaux , Jean-Philippe Ovarlez , Frédéric Pascal