Asynchronous distributed solution of large scale nonlinear inversion problems
Selected papers of the second Panamerican workshop on Applied and computational mathematics
Multi-Objective Programming in the U. S. S. R.
Multi-Objective Programming in the U. S. S. R.
Tracing the Efficient Curve for Multi-objective Control-Structure Optimization
Tracing the Efficient Curve for Multi-objective Control-Structure Optimization
Variable projections neural network training
Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras
Mathematics and Computers in Simulation
Integrated multiobjective optimization and a priori preferences using genetic algorithms
Information Sciences: an International Journal
Mathematics and Computers in Simulation
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In this paper, we consider the problem of generating a well sampled discrete representation of the Pareto manifold or the Pareto front corresponding to the equilibrium points of a multi-objective optimization problem. We show how the introduction of simple additional constraints into a continuation procedure produces equispaced points in either of those two sets. Moreover, we describe in detail a novel algorithm for global continuation that requires two orders of magnitude less function evaluations than evolutionary algorithms commonly used to solve this problem. The performance of the methods is demonstrated on problems from the current literature.