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A new R2 indicator for better hypervolume approximation
Proceedings of the Genetic and Evolutionary Computation Conference, 2018In this paper, a new R2 indicator is proposed for better hypervolume approximation. First the fact that the original R2 indicator is not a good approximation for the hypervolume is illustrated by examples.
Ke Shang +3 more
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Proceedings of the 16th International Joint Conference on Computational Intelligence: Various interactive evolutionary multiobjective optimization methods have been proposed in the literature for problems with multiple, conflicting objective functions.
Maomao Liang +4 more
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Population size matters: rigorous runtime results for maximizing the hypervolume indicator
Theoretical Computer Science, 2013 Using the hypervolume indicator to guide the search of evolutionary multi-objective algorithms has become very popular in recent years. We contribute to the theoretical understanding of these algorithms by carrying out rigorous runtime analyses.
A. Nguyen, Andrew M. Sutton, F. Neumann
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The Hypervolume Indicator as a Performance Measure in Dynamic Optimization
International Conference on Evolutionary Multi-Criterion Optimization, 2019 In many real world problems the quality of solutions needs to be evaluated at least according to a bi-objective non-dominated front, where the goal is to optimize solution quality using as little computational resources as possible. This is even more important in the context of dynamic optimization, where quickly addressing problem changes is critical.
S. Oliveira +4 more
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Hypervolume Indicator Gradient Ascent Multi-objective Optimization
International Conference on Evolutionary Multi-Criterion Optimization, 2017Many evolutionary algorithms are designed to solve black-box multi-objective optimization problems MOPs using stochastic operators, where neither the form nor the gradient information of the problem is accessible. In some real-world applications, e.g. surrogate-based global optimization, the gradient of the objective function is accessible.
Hao Wang +3 more
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Evaluating Memetic Building Spatial Design Optimisation Using Hypervolume Indicator Gradient Ascent
Numerical and Evolutionary Optimization Workshop, 2017In traditional, single objective, optimisation local optima may be found by gradient search. With the recently introduced hypervolume indicator (HVI) gradient search, this is now also possible for multi-objective optimisation, by steering the whole Pareto front approximation (PFA) in the direction of maximal improvement.
K. Blom +4 more
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Parameterized average-case complexity of the hypervolume indicator
Proceedings of the 15th annual conference on Genetic and evolutionary computation, 2013The hypervolume indicator (HYP) is a popular measure for the quality of a set of n solutions in ℜRd. We discuss its asymptotic worst-case runtimes and several lower bounds depending on different complexity-theoretic assumptions. Assuming that P ≠ NP, there is no algorithm with runtime poly(n,d).
K. Bringmann, T. Friedrich
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The logarithmic hypervolume indicator
Proceedings of the 11th workshop proceedings on Foundations of genetic algorithms, 2011It was recently proven that sets of points maximizing the hypervolume indicator do not give a good multiplicative approximation of the Pareto front. We introduce a new "logarithmic hypervolume indicator" and prove that it achieves a close-to-optimal multiplicative approximation ratio.
Friedrich, Tobias +3 more
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Multiplicative approximations and the hypervolume indicator
Proceedings of the 11th Annual conference on Genetic and evolutionary computation, 2009Indicator-based algorithms have become a very popular approach to solve multi-objective optimization problems. In this paper, we contribute to the theoretical understanding of algorithms maximizing the hypervolume for a given problem by distributing μ points on the Pareto front.
Friedrich, T., Horoba, C., Neumann, F.
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A hypervolume approach to niche specialism, tested for the old-growth indicator status of calicioids
The Lichenologist, 2022Certain lichen epiphytes are restricted to old-growth forest stands with long ‘ecological continuity’, explained by i) niche specialism and their dependence on microhabitats associated with old stands including veteran or senescent trees, and/or ii ...
C. Ellis
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