Visualizing High Dimensional Objective Spaces for Multi-objective Optimization: A Virtual Reality Approach

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  author =       "J. J. Valdes and A. J. Barton",
  title =        "Visualizing High Dimensional Objective Spaces for
                 Multi-objective Optimization: A Virtual Reality
  booktitle =    "2007 IEEE Congress on Evolutionary Computation",
  year =         "2007",
  editor =       "Dipti Srinivasan and Lipo Wang",
  pages =        "4199--4206",
  address =      "Singapore",
  month =        "25-28 " # sep,
  organization = "IEEE Computational Intelligence Society",
  publisher =    "IEEE Press",
  ISBN =         "1-4244-1340-0",
  file =         "1535.pdf",
  keywords =     "genetic algorithms, genetic programming, Pareto
                 optimisation, data mining, data visualisation, knapsack
                 problems, virtual reality4 dimensional knapsack
                 problem, Pareto fronts, high dimensional objective
                 spaces, multi-objective evolutionary algorithms,
                 multi-objective optimization, virtual reality, visual
  DOI =          "doi:10.1109/CEC.2007.4425019",
  abstract =     "This paper presents an approach for constructing
                 visual representations of high dimensional objective
                 spaces using virtual reality. These spaces arise from
                 the solution of multi-objective optimization problems
                 with more than 3 objective functions which lead to high
                 dimensional Pareto fronts which are difficult to use.
                 This approach is preliminarily investigated using both
                 theoretically derived high dimensional Pareto fronts
                 for a test problem (DTLZ2) and practically obtained
                 objective spaces for the 4 dimensional knapsack problem
                 via multi-objective evolutionary algorithms like HLGA,
                 NSGA, and VEGA. The expected characteristics of the
                 high dimensional fronts in terms of relative sizes,
                 sequencing, embedding and asymmetry were systematically
                 observed in the constructed virtual reality spaces.",
  notes =        "CEC 2007 - A joint meeting of the IEEE, the EPS, and
                 the IET.

                 IEEE Catalog Number: 07TH8963C Also known as

Genetic Programming entries for Julio J Valdes Alan J Barton