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Evolutionary Computation

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https://www.readbyqxmd.com/read/28489414/on-proportions-of-fit-individuals-in-population-of-mutation-based-evolutionary-algorithm-with-tournament-selection
#1
Anton V Eremeev
In this paper, we consider a fitness-level model of a non-elitist mutation-only evolutionary algorithm (EA) with tournament selection. The model provides upper and lower bounds for the expected proportion of the individuals with fitness above given thresholds. In the case of so-called monotone mutation, the obtained bounds imply that increasing the tournament size improves the EA performance. As corollaries, we obtain an exponentially vanishing tail bound for the Randomized Local Search on unimodal functions and polynomial upper bounds on the runtime of EAs on 2-SAT problem and on a family of Set Cover problems proposed by E...
May 10, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28388221/exploiting-linkage-information-and-problem-specific-knowledge-in-evolutionary-distribution-network-expansion-planning
#2
Ngoc Hoang Luong, Han La Poutré, Peter A N Bosman
This article tackles the Distribution Network Expansion Planning (DNEP) problemthat has to be solved by distribution network operators to decide which, where, and/or when enhancements to electricity networks should be introduced to satisfy the future power demands. Because of many real-world details involved, the structure of the problem is not exploited easily using mathematical programming techniques, for which reason we consider solving this problem with evolutionary algorithms (EAs). We compare three types of EAs for optimizing expansion plans: the classic genetic algorithm (GA), the estimation-of-distribution algorithm (EDA), and the Gene-pool Optimal Mixing Evolutionary Algorithm (GOMEA)...
April 7, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28358647/co-optimization-free-lunches-tractability-of-optimal-black-box-algorithms-for-maximizing-expected-utility
#3
Elena Popovici
Co-optimization problems often involve settings in which the quality ( utility) of a potential solution is dependent on the scenario within which it is evaluated, and many such scenarios exist. Maximizing expected utility is simply the goal of finding the potential solution whose expected utility value over all possible scenarios is best. Such problems are often approached using coevolutionary algorithms. We are interested in the design of generally well-performing black-box algorithms for this problem, that is algorithms which have access to the utility function only via input-output queries...
March 30, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28323435/quantifying-selection-pressure
#4
Evert Haasdijk, Jacqueline Heinerman
Selection is an essential component of any evolutionary systemand analysing this fundamental force in evolution can provide relevant insights into the evolutionary development of a population. The 1990s and early 2000s saw a substantial number of publications that investigated selection pressure through methods such as takeover time and Markov chain analysis. Over the last decade, however, interest in the analysis of selection in evolutionary computing has waned. The established methods for analysis of selection pressure provide little insight when selection is based in more than comparison of fitness values...
March 21, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28207296/gambit-a-parameterless-model-based-evolutionary-algorithm-for-mixed-integer-problems
#5
Krzysztof L Sadowski, Dirk Thierens, Peter A N Bosman
Learning and exploiting problem structure is one of the key challenges in optimization. This is especially important for black-box optimization (BBO) where prior structural knowledge of a problem is not available. Existing model-based Evolutionary Algorithms (EAs) are very efficient at learning structure in both the discrete, and in the continuous domain. In this paper, discrete and continuous model-building mechanisms are integrated for the Mixed-Integer (MI) domain, comprising discrete and continuous variables...
February 16, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28207295/competent-geometric-semantic-genetic-programming-for-symbolic-regression-and-boolean-function-synthesis
#6
Tomasz P Pawlak, Krzysztof Krawiec
Program semantics is a promising recent research thread in Genetic Programming (GP). Over a dozen of semantic-aware search, selection, and initialization operators for GP have been proposed to date. Some of those operators are designed to exploit the geometric properties of semantic space, while some others focus on making offspring effective, i.e., semantically different from their parents. Only a small fraction of previous works aimed at addressing both these features simultaneously. In this paper, we propose a suite of competent operators that combine effectiveness with geometry for population initialization, mate selection, mutation and crossover...
February 16, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28103060/a-new-algorithm-using-the-non-dominated-tree-to-improve-non-dominated-sorting
#7
Patrik Gustavsson, Anna Syberfeldt
Non-dominated sorting is a technique often used in evolutionary algorithms to determine the quality of solutions in a population. The most common algorithm is the Fast Non-dominated Sort (FNS). This algorithm, however, has the drawback that its performance deteriorates when the population size grows. The same drawback applies also to other non-dominating sorting algorithms such as the Efficient Non-dominated Sort with Binary Strategy (ENS-BS). An algorithm suggested to overcome this drawback is the Divide-and-Conquer Non-dominated Sort (DCNS) which works well on a limited number of objectives but deteriorates when the number of objectives grows...
January 19, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/28072555/on-constructing-ensembles-for-combinatorial-optimisation
#8
Emma Hart, Kevin Sim
Although the use of ensemble methods in machine-learning is ubiquitous due to their proven ability to outperform their constituent algorithms, ensembles of optimisation algorithms have received relatively little attention. Existing approaches lag behind machine-learning in both theory and practice, with no principled design guidelines available. In this article, we address fundamental questions regarding ensemble composition in optimisation using the domain of bin-packing as an example. In particular, we investigate the trade-off between accuracy and diversity, and whether diversity metrics can be used as a proxy for constructing an ensemble, proposing a number of novel metrics for comparing algorithm diversity...
January 10, 2017: Evolutionary Computation
https://www.readbyqxmd.com/read/27982697/on-the-effectiveness-of-sampling-for-evolutionary-optimization-in-noisy-environments
#9
Chao Qian, Yang Yu, Ke Tang, Yaochu Jin, Xin Yao, Zhi-Hua Zhou
In real-world optimization tasks, the objective (i.e., fitness) function evaluation is often disturbed by noise due to a wide range of uncertainties. Evolutionary algorithms are often employed in noisy optimization, where reducing the negative effect of noise is a crucial issue. Sampling is a popular strategy for dealing with noise: to estimate the fitness of a solution, it evaluates the fitness multiple ([Formula: see text]) times independently and then uses the sample average to approximate the true fitness...
December 16, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27982696/theoretical-and-empirical-analysis-of-a-spatial-ea-parallel-boosting-algorithm
#10
Uday Kamath, Carlotta Domeniconi, Kenneth De Jong
Many real-world problems involve massive amounts of data. Under these circumstances learning algorithms often become prohibitively expensive, making scalability a pressing issue to be addressed. A common approach is to perform sampling to reduce the size of the dataset and enable efficient learning. Alternatively, one customizes learning algorithms to achieve scalability. In either case, the key challenge is to obtain algorithmic efficiency without compromising the quality of the results. In this article we discuss a meta-learning algorithm (PSBML) that combines concepts from spatially structured evolutionary algorithms (SSEAs) with concepts from ensemble and boosting methodologies to achieve the desired scalability property...
December 16, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27959580/performance-analysis-of-evolutionary-algorithms-for-steiner-tree-problems
#11
Xinsheng Lai, Yuren Zhou, Xiaoyun Xia, Qingfu Zhang
The Steiner tree problem (STP) aims to determine some Steiner nodes such that the minimum spanning tree over these Steiner nodes and a given set of special nodes has the minimum weight, which is NP-hard. STP includes several important cases. The Steiner tree problem in graphs (GSTP) is one of them. Many heuristics have been proposed for STP, and some of them have proved to be performance guarantee approximation algorithms for this problem. Since evolutionary algorithms (EAs) are general and popular randomized heuristics, it is significant to investigate the performance of EAs for STP...
December 13, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27893278/expected-fitness-gains-of-randomized-search-heuristics-for-the-traveling-salesperson-problem
#12
Samadhi Nallaperuma, Frank Neumann, Dirk Sudholt
Randomized search heuristics are frequently applied to NP-hard combinatorial optimization problems. The runtime analysis of randomized search heuristics has contributed tremendously to our theoretical understanding. Recently, randomized search heuristics have been examined regarding their achievable progress within a fixed-time budget. We follow this approach and present a fixed-budget analysis for an NP-hard combinatorial optimization problem. We consider the well-known Traveling Salesperson Problem (TSP) and analyze the fitness increase that randomized search heuristics are able to achieve within a given fixed-time budget...
November 28, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27819480/an-enhanced-memetic-algorithm-for-single-objective-bilevel-optimization-problems
#13
Md Monjurul Islam, Hemant Kumar Singh, Tapabrata Ray, Ankur Sinha
Bilevel optimization, as the name reflects, deals with optimization at two interconnected hierarchical levels. The aim is to identify the optimum of an upper-level leader problem, subject to the optimality of a lower-level follower problem. Several problems from the domain of engineering, logistics, economics, and transportation have an inherent nested structure which requires them to be modeled as bilevel optimization problems. Increasing size and complexity of such problems has prompted active theoretical and practical interest in the design of efficient algorithms for bilevel optimization...
November 7, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27728772/evolutionary-design-of-classifiers-made-of-droplets-containing-a-nonlinear-chemical-medium
#14
Konrad Gizynski, Gerd Gruenert, Peter Dittrich, Jerzy Gorecki
Unconventional computing devices operating on nonlinear chemical media offer an interesting alternative to standard, semiconductor-based computers. In this work we study in-silico a chemical medium composed of communicating droplets that functions as a database classifier. The droplet network can be "programmed" by an externally provided illumination pattern. The complex relationship between the illumination pattern and the droplet behavior makes manual programming hard. We introduce an evolutionary algorithm that automatically finds the optimal illumination pattern for a given classification problem...
October 11, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27700279/a-probabilistic-reformulation-of-no-free-lunch-continuous-lunches-are-not-free
#15
Alan J Lockett, Risto Miikkulainen
No Free Lunch (NFL) theorems have been developed in many settings over the last two decades. Whereas NFL is known to be possible in any domain based on set-theoretic concepts, probabilistic versions of NFL are presently believed to be impossible in continuous domains. This article develops a new formalization of probabilistic NFL that is sufficiently expressive to prove the existence of NFL in large search domains, such as continuous spaces or function spaces. This formulation is arguably more complicated than its set-theoretic variants, mostly as a result of the numerous technical complications within probability theory itself...
October 4, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27700278/introducing-elitist-black-box-models-when-does-elitist-behavior-weaken-the-performance-of-evolutionary-algorithms
#16
Carola Doerr, Johannes Lengler
Black-box complexity theory provides lower bounds for the runtime of black-box optimizers like evolutionary algorithms and other search heuristics and serves as an inspiration for the design of new genetic algorithms. Several black-box models covering different classes of algorithms exist, each highlighting a different aspect of the algorithms under considerations. In this work we add to the existing black-box notions a new elitist black-box model, in which algorithms are required to base all decisions solely on (the relative performance of) a fixed number of the best search points sampled so far...
October 4, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27689468/performance-analysis-of-continuous-black-box-optimization-algorithms-via-footprints-in-instance-space
#17
Mario A Muñoz, Kate A Smith-Miles
This article presents a method for the objective assessment of an algorithm's strengths and weaknesses. Instead of examining the performance of only one or more algorithms on a benchmark set, or generating custom problems that maximize the performance difference between two algorithms, our method quantifies both the nature of the test instances and the algorithm performance. Our aim is to gather information about possible phase transitions in performance, that is, the points in which a small change in problem structure produces algorithm failure...
September 30, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27689467/problem-features-versus-algorithm-performance-on-rugged-multiobjective-combinatorial-fitness-landscapes
#18
Fabio Daolio, Arnaud Liefooghe, Sébastien Verel, Hernán Aguirre, Kiyoshi Tanaka
In this article, we attempt to understand and to contrast the impact of problem features on the performance of randomized search heuristics for black-box multiobjective combinatorial optimization problems. At first, we measure the performance of two conventional dominance-based approaches with unbounded archive on a benchmark of enumerable binary optimization problems with tunable ruggedness, objective space dimension, and objective correlation ([Formula: see text]MNK-landscapes). Precisely, we investigate the expected runtime required by a global evolutionary optimization algorithm with an ergodic variation operator (GSEMO) and by a neighborhood-based local search heuristic (PLS), to identify a ([Formula: see text]approximation of the Pareto set...
September 30, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27258841/a-hidden-markov-model-approach-to-the-problem-of-heuristic-selection-in-hyper-heuristics-with-a-case-study-in-high-school-timetabling-problems
#19
Ahmed Kheiri, Ed Keedwell
Operations research is a well established field that uses computational systems to support decisions in business and public life. Good solutions to operations research problems can make a large difference to the efficient running of businesses and organisations and so the field often searches for new methods to improve these solutions. The high school timetabling problem is an example of an operations research problem and is a challenging task which requires assigning events and resources to time slots subject to a set of constraints...
June 3, 2016: Evolutionary Computation
https://www.readbyqxmd.com/read/27070282/multimodal-optimization-by-covariance-matrix-self-adaptation-evolution-strategy-with-repelling-subpopulations
#20
Ali Ahrari, Kalyanmoy Deb, Mike Preuss
During the recent decades, many niching methods have been proposed and empirically verified on some available test problems. They often rely on some particular assumptions associated with the distribution, shape and size of the basins, which can seldom be made in practical optimization problems. This study utilizes several existing concepts and techniques, such as taboo points, normalized Mahalanobis distance, and the Ursem's hill-valley function in order to develop a new tool for multimodal optimization, which does not make any of these assumptions...
April 12, 2016: Evolutionary Computation
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