Continuous Optimization: Current Trends and Modern Applications (Applied Optimization)

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Products of this store will be shipped directly from China to your country. Following that, the tutorial will identify the problems that the introduction of grammars into EC helps to eliminate e. The tutorial will then demonstrate that By the end of the tutorial, audience members will: Understand how derivation trees and context-free grammars can be used as the basis of an evolutionary search mechanism. Observe how context-free grammar GP CFG-GP can be used to search for solutions to arbitrary problems that can be defined through a context-free grammar.

Be introduced to the relevant software to easily apply grammar-based methods esp. The proposed tutorial is primarily aimed at researchers that are familiar with general evolutionary computation concepts, but with little experience with using grammar-based techniques in EC. A second stream of interest will be from those researchers wishing to better understand how they might apply grammar-based methods to their own problems.

Students wishing to embark on new research into the theoretical properties of grammar-based methods will also find the content very useful. Many real-world optimization problems involve a large number of decision variables. The trend in en- gineering optimization shows that the number of decision variables involved in a typical optimization problem has grown exponentially over the last 50 years [10], and this trend continues with an ever- increasing rate. The proliferation of big-data analytic applications has also resulted in the emergence of large-scale optimization problems at the heart of many machine learning problems [1, 11].

The recent advances in the area of machine learning has also witnessed very large scale optimization problems en- countered in training deep neural network architectures so-called deep learning , some of which have over a billion decision variables [3, 7]. Current optimization methods are often ill-equipped in dealing with such problems.

It is this research gap in both theory and practice that has attracted much research interest, making large-scale optimization an active field in recent years. We are currently witnessing a wide range of mathematical and metaheuristics optimization algorithms being developed to overcome this scalability issue. Among these, metaheuristics have gained popularity due to their ability in dealing with black-box optimization problems. Currently, there are two different approaches to tackle this complex search.

The first one is to apply decomposition methods, that divide the total number of variables into groups of variables allowing researcher to optimize each one separately, reducing the curse of dimension- ality.

Their main drawback is that choosing proper decomposition could be very difficult and expensive computationally. The other approach is to propose algorithms specifically designed for large-scale global optimization, creating algorithms whose features are well-suited for that type of search.

The Tutorial is divided in two parts, each dedicated to exploring the advances in the approaches stated above, presented by experts in each respective field. This tutorial is suitable for anyone with an interest in evolutionary computation who wishes to learn more about the state-of-the-art in large-scale global optimization. The tutorial is specifically targeted for Ph. The tutorial can also be of interest to more experienced researchers as well as practitioners who wish to get a glimpse of the latest developments in the field. In addition to our prime goal which is to inform and educate, we also wish to use this tutorial as a forum for exchanging ideas between researchers.

Overall, this tutorial provides a unique opportunity to showcase the latest developments on this hot research topic to the EC research community. The expected duration of each part is approximately minutes. Many practical optimization problems should better be posed as bilevel optimization problems in which there are two levels of optimization tasks.

A solution at the upper level is feasible if the cor- responding lower level variable vector is optimal for the lower level optimization problem. Consid- er, for example, an inverted pendulum problem for which the motion of the platform relates to the upper level optimization problem of performing the balancing task in a time-optimal manner. For a given motion of the platform, whether the pendulum can be balanced at all becomes a lower level optimization problem of maximizing stability margin.

Such nested optimization problems are commonly found in transportation, engineering design, game playing and business models. They are also known as Stackelberg games in the operations research community.

Introduction To Optimization: Gradients, Constraints, Continuous and Discrete Variables

These problems are too complex to be solved using classical optimization methods simply due to the "nestedness" of one optimization task into another. Evolutionary Algorithms EAs provide some amenable ways to solve such problems due to their flexibility and ability to handle constrained search spaces efficiently.

Accepted IEEE CEC 12222 Tutorials

Clearly, EAs have an edge in solving such difficult yet practically important problems. In the recent past, there has been a surge in research activities towards solving bilevel optimization problems. In this tutorial, we will introduce principles of bilevel optimization for single and multiple objectives, and discuss the difficulties in solving such problems in general.

With a brief survey of the existing literature, we will pre- sent a few viable evolutionary algorithms for both single and multi-objective EAs for bilevel optimization. Our recent studies on bilevel test problems and some application studies will be dis- cussed. Finally, a number of immediate and future research ideas on bilevel optimization will also be highlighted.

Bilevel optimization belongs to a difficult class of optimization problems. Most of the classical optimization methods are unable to solve even simpler instances of bilevel problems.

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This offers a niche to the researchers in the field of evolutionary computation to work on the development of efficient bilevel procedures. However, many researchers working in the area of evolutionary computation are not familiar with this important class of optimization problems. Bilevel optimization has immense practical applications and it certainly requires attention of the researchers working on evolutionary computation.

The target audience for this tutorial will be researchers and students looking to work on bilevel optimization. The tutorial will make the basic concepts on bilevel optimization and the recent results easily accessible to the audience.

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Benchmarking optimization solvers aims at supporting practitioners in choosing the best algorithmic technique and its optimal configuration for the problem at hand through a systematic empirical investigation and comparison amongst competing techniques. For theoreticians, benchmarking can be an essential tool for the enhancements of mathematically-derived ideas into techniques being broadly applicable in practical optimization.

In addition, empirical performance comparisons constitute an important source for formulating new research questions. Sound benchmarking environments therefore make an essential contribution towards our understanding of optimization algorithms. In the context of evolutionary computation for discrete optimization problems, no commonly agreed-upon benchmarking environment exist. We therefore recently announced IOHprofiler, a new tool for analyzing and comparing iterative optimization heuristics such as EAs and local search variants.

Given as input algorithms and problems written in C or Python, it provides as output a statistical evaluation of the algorithms' anytime performance by means of detailed statistics for the fixed-target and fixed-budget performance. In addition, IOHprofiler also allows to track the evolution of algorithm parameters, making our tool particularly useful for the analysis, comparison, and design of self- adaptive algorithms. IOHprofiler is a ready-to-use software.

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It consists of two parts: an experimental part, which generates the running time data, and a post-processing part, which produces the summarizing comparisons and statistical evaluations. The experimental part is built on the COCO software, which has been adjusted to cope with discrete optimization problems. The post-processing part is our own work.

It can be used as a stand-alone tool for the evaluation of running time data of arbitrary benchmark problems. This tutorial addresses all CEC participants interested in learning how to benefit from the automated performance analyses that IOHprofiler offers. We also welcome researchers interested in discussing various performance measures, ranging from fixed-budget results over fixed-target results and ECDF curves and probabilities of success to multi-criterial performance statistics, and beyond. No specific background is required to attend this tutorial. Attendees bringing an implementation of their own favorite algorithms and problems will be able to test the advantages of IOHprofiler with their own data.

Great advances have been made in recent years towards the runtime complexity analysis of evolutionary algorithms for combinatorial optimisation problems. Much of this progress has been due to the application of techniques from the study of randomised algorithms. The first pieces of work, started in the 90s, were directed towards analysing simple toy problems with significant structures. This work had two main goals: to understand on which kind of landscapes EAs are efficient, and when they are not to develop the first basis of general mathematical techniques needed to perform the analysis.

Continuous Optimization: Current Trends and Modern Applications (Applied Optimization)

Thanks to this preliminary work, nowadays, it is possible to analyse the runtime of evolutionary algorithms on different combinatorial optimisation problems. The tutorial is targeted at scientists and engineers who wish to: theoretically understand the behaviour and performance of the search algorithms they design; familiarise with the techniques used in the runtime analysis of EAs; pursue research in the area of time complexity analysis of randomised algorithms in general and EAs in particular. The slides online at www. Per Kristian Lehre. The tutorial will aim to: provide a sufficient introduction and overview of evolutionary algorithm hyper-heuristics to enable researchers to start their own research in this domain provide an overview of recent research directions in evolutionary algorithms and hyper-heuristics highlight the benefits of evolutionary algorithms to the field of hyper-heuristics highlight the benefits and hyper-heuristics to evolutionary algorithms stimulate interest and discussion on future research directions in the area of evolutionary algorithms and hyper-heuristics.

The tutorial is aimed at researchers in computational intelligence who have an interest in hyper-heuristics or have just started working in this area. A background in evolutionary algorithms is assumed. A fusion of Evolutionary Computation and Machine Learning, namely Evolutionary Machine Learning EML , has been recognized as a rapidly growing research area as these powerful search and learning mechanisms are combined. Many specific branches of EML with different learning schemes and different ML problem domains have been proposed.