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The performance of evolutionary algorithms can be heavily undermined when constraints limit the feasible areas of the search space. For instance, while Covariance Matrix Adaptation Evolution Strategy is one of the most efficient algorithms…

Neural and Evolutionary Computing · Computer Science 2018-10-08 A. Maesani , G. Iacca , D. Floreano

I discuss some theoretical results with a view to motivate some practical choices in portfolio optimization. Even though the setting is not completely general (for example, the covariance matrix is assumed to be non-singular), I attempt to…

Portfolio Management · Quantitative Finance 2016-01-29 Vassilios Papathanakos

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

We introduce the class of multistage stochastic optimization problems with a random number of stages. For such problems, we show how to write dynamic programming equations and detail the Stochastic Dual Dynamic Programming algorithm to…

Optimization and Control · Mathematics 2019-07-18 Vincent Guigues

The design space of networked embedded systems is very large, posing challenges to the optimisation of such platforms when it comes to support applications with real-time guarantees. Recent research has shown that a number of inter-related…

Performance · Computer Science 2020-07-21 Leandro Soares Indrusiak , Robert I. Davis , Piotr Dziurzanski

In this paper, we extend a class of globally convergent evolution strategies to handle general constrained optimization problems. The proposed framework handles relaxable constraints using a merit function approach combined with a specific…

Optimization and Control · Mathematics 2018-10-18 Youssef Diouane

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…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

In this work, we deal with the problem of computing a comprehensive front of efficient solutions in multi-objective portfolio optimization problems in presence of sparsity constraints. We start the discussion pointing out some weaknesses of…

Optimization and Control · Mathematics 2025-09-23 Arturo Annunziata , Matteo Lapucci , Pieluigi Mansueto , Davide Pucci

The development, assessment, and comparison of randomized search algorithms heavily rely on benchmarking. Regarding the domain of constrained optimization, the number of currently available benchmark environments bears no relation to the…

Neural and Evolutionary Computing · Computer Science 2018-07-27 Michael Hellwig , Hans-Georg Beyer

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

Evolutionary algorithms have been successfully applied to a variety of optimisation problems in stationary environments. However, many real world optimisation problems are set in dynamic environments where the success criteria shifts…

Neural and Evolutionary Computing · Computer Science 2016-10-11 Matthew Hughes

Benchmarking plays an important role in the development of novel search algorithms as well as for the assessment and comparison of contemporary algorithmic ideas. This paper presents common principles that need to be taken into account when…

Neural and Evolutionary Computing · Computer Science 2018-10-08 Michael Hellwig , Hans-Georg Beyer

In this paper we develop a concrete and fully implementable approach to the optimization of functionally generated portfolios in stochastic portfolio theory. The main idea is to optimize over a family of rank-based portfolios parameterized…

Portfolio Management · Quantitative Finance 2021-10-12 Steven Campbell , Ting-Kam Leonard Wong

The practice of evolutionary algorithms involves the tuning of many parameters. How big should the population be? How many generations should the algorithm run? What is the (tournament selection) tournament size? What probabilities should…

Neural and Evolutionary Computing · Computer Science 2018-06-08 Moshe Sipper , Weixuan Fu , Karuna Ahuja , Jason H. Moore

In this paper we derive for a controlled stochastic evolution system on a Hilbert space sufficient conditions for optimality. Our result is derived by using its so-called adjoint backward stochastic evolution equation.

Probability · Mathematics 2013-08-28 AbdulRahman Al-Hussein

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Evolutionary algorithms have been widely used for a range of stochastic optimization problems in order to address complex real-world optimization problems. We consider the knapsack problem where the profits involve uncertainties. Such a…

Neural and Evolutionary Computing · Computer Science 2022-04-13 Aneta Neumann , Yue Xie , Frank Neumann

In this paper, we discuss the ambiguous chance constrained based portfolio optimization problems, in which the perturbations associated with the input parameters are stochastic in nature, but their distributions are not known precisely. We…

Optimization and Control · Mathematics 2023-11-09 Pulak Swain , Akshay Kumar Ojha

Single-objective bilevel optimization is a specialized form of constraint optimization problems where one of the constraints is an optimization problem itself. These problems are typically non-convex and strongly NP-Hard. Recently, there…

Neural and Evolutionary Computing · Computer Science 2024-02-13 Anuraganand Sharma

Evolutionary algorithms are particularly effective for optimisation problems with dynamic and stochastic components. We propose multi-objective evolutionary approaches for the knapsack problem with stochastic profits under static and…

Neural and Evolutionary Computing · Computer Science 2024-04-15 Kokila Kasuni Perera , Aneta Neumann