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Many systems require optimisation over multiple objectives, where objectives are characteristics of the system such as energy consumed or increase in time to perform the work. Optimisation is performed by selecting the `best' set of input…

Performance · Computer Science 2019-10-08 Alexander J. M. Kell , Matthew Forshaw , A. Stephen McGough

Optimizing multiple competing objectives is a common problem across science and industry. The inherent inextricable trade-off between those objectives leads one to the task of exploring their Pareto front. A meaningful quantity for the…

Machine Learning · Computer Science 2023-10-24 Jim Boelrijk , Bernd Ensing , Patrick Forré

Multi-objective optimisation is regarded as one of the most promising ways for dealing with constrained optimisation problems in evolutionary optimisation. This paper presents a theoretical investigation of a multi-objective optimisation…

Neural and Evolutionary Computing · Computer Science 2015-02-13 Jun He , Yong Wang , Yuren Zhou

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

A new kind of six degree-of-freedom teaching manipulator without actuators is designed, for recording and conveniently setting a trajectory of an industrial robot. The device requires good gravity balance and operating force performance to…

Robotics · Computer Science 2018-02-01 Zhun Fan , Yugen You , Haodong Zheng , Guijie Zhu , Wenji Li , Shen Chen , Kalyanmoy Deb , Erik Goodman

Parent selection in evolutionary algorithms for multi-objective optimisation is usually performed by dominance mechanisms or indicator functions that prefer non-dominated points. We propose to refine the parent selection on evolutionary…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Edgar Covantes Osuna , Wanru Gao , Frank Neumann , Dirk Sudholt

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

It has been widely recognized that the performance of a multi-agent system is highly affected by its organization. A large scale system may have billions of possible ways of organization, which makes it impractical to find an optimal choice…

Multiagent Systems · Computer Science 2014-11-25 Zhiqi Shen , Ling Yu , Han Yu

Learning to optimize has emerged as a powerful framework for various optimization and machine learning tasks. Current such "meta-optimizers" often learn in the space of continuous optimization algorithms that are point-based and…

Machine Learning · Computer Science 2019-11-19 Yue Cao , Tianlong Chen , Zhangyang Wang , Yang Shen

Multi-objective optimization is a common problem in practical applications, and multi-objective evolutionary algorithm (MOEA) is considered as one of the effective methods to solve these problems. However, their randomness sometimes…

Neural and Evolutionary Computing · Computer Science 2024-10-04 Wanyi Liu , Long Chen , Zhenzhou Tang

Optimization problems involving minimization of a rank-one convex function over constraints modeling restrictions on the support of the decision variables emerge in various machine learning applications. These problems are often modeled…

Optimization and Control · Mathematics 2023-11-29 Soroosh Shafiee , Fatma Kılınç-Karzan

We study the convex hull membership (CHM) problem in the pure exploration setting where one aims to efficiently and accurately determine if a given point lies in the convex hull of means of a finite set of distributions. We give a complete…

Machine Learning · Statistics 2024-10-22 Gang Qiao , Ambuj Tewari

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

Creating diverse sets of high quality solutions has become an important problem in recent years. Previous works on diverse solutions problems consider solutions' objective quality and diversity where one is regarded as the optimization goal…

Neural and Evolutionary Computing · Computer Science 2024-01-17 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

In this paper we propose a crossover operator for evolutionary algorithms with real values that is based on the statistical theory of population distributions. The operator is based on the theoretical distribution of the values of the genes…

Neural and Evolutionary Computing · Computer Science 2011-09-13 N. García-Pedrajas , C. Hervás-Martínez , D. Ortiz-Boyer

We propose a localized approach to multiple kernel learning that can be formulated as a convex optimization problem over a given cluster structure. For which we obtain generalization error guarantees and derive an optimization algorithm…

Machine Learning · Computer Science 2016-10-14 Yunwen Lei , Alexander Binder , Ürün Dogan , Marius Kloft

Evolutionary algorithms (EAs) are the preferred method for solving black-box multi-objective optimization problems, but when gradients of the objective functions are available, it is not straightforward to exploit these efficiently. By…

Optimization and Control · Mathematics 2021-02-23 Timo M. Deist , Stefanus C. Maree , Tanja Alderliesten , Peter A. N. Bosman

Optimization problems with set-valued objective functions arise in contexts such as multi-stage optimization with vector-valued objectives. The aim is to identify an optimizer -- a feasible point with an optimal objective value -- based on…

Optimization and Control · Mathematics 2024-09-27 Andreas Löhne

A common goal in evolutionary multi-objective optimization is to find suitable finite-size approximations of the Pareto front of a given multi-objective optimization problem. While many multi-objective evolutionary algorithms have proven to…

Neural and Evolutionary Computing · Computer Science 2024-09-26 Hao Wang , Angel E. Rodriguez-Fernandez , Lourdes Uribe , André Deutz , Oziel Cortés-Piña , Oliver Schütze

In real-world environments it usually is difficult to specify target operating conditions precisely, for example, target misclassification costs. This uncertainty makes building robust classification systems problematic. We show that it is…

Machine Learning · Computer Science 2007-05-23 Foster Provost , Tom Fawcett