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» The logarithmic hypervolume indicator
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EC
2010
158views ECommerce» more  EC 2010»
13 years 2 months ago
An Efficient Algorithm for Computing Hypervolume Contributions
The hypervolume indicator serves as a sorting criterion in many recent multi-objective evolutionary algorithms (MOEAs). Typical algorithms remove the solution with the smallest lo...
Karl Bringmann, Tobias Friedrich
GECCO
2009
Springer
156views Optimization» more  GECCO 2009»
13 years 11 months ago
Articulating user preferences in many-objective problems by sampling the weighted hypervolume
The hypervolume indicator has become popular in recent years both for performance assessment and to guide the search of evolutionary multiobjective optimizers. Two critical resear...
Anne Auger, Johannes Bader, Dimo Brockhoff, Eckart...
GECCO
2009
Springer
148views Optimization» more  GECCO 2009»
13 years 11 months ago
Multiplicative approximations and the hypervolume indicator
Indicator-based algorithms have become a very popular approach to solve multi-objective optimization problems. In this paper, we contribute to the theoretical understanding of alg...
Tobias Friedrich, Christian Horoba, Frank Neumann
EC
2011
240views ECommerce» more  EC 2011»
12 years 12 months ago
HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization
Abstract—In the field of evolutionary multi-criterion optimization, the hypervolume indicator is the only single set quality measure that is known to be strictly monotonic with ...
Johannes Bader, Eckart Zitzler
GECCO
2009
Springer
145views Optimization» more  GECCO 2009»
13 years 9 months ago
Investigating and exploiting the bias of the weighted hypervolume to articulate user preferences
Optimizing the hypervolume indicator within evolutionary multiobjective optimizers has become popular in the last years. Recently, the indicator has been generalized to the weight...
Anne Auger, Johannes Bader, Dimo Brockhoff, Eckart...