Adaptive Empirical Distributions in the Framework of Inverse Problems

Tiago A. N. Silva, Maria Amélia Ramos Loja, Alda Carvalho, Nuno M. M. Maia, Joaquim I. Barbosa

Research output: Contribution to journalArticlepeer-review


This article presents an innovative framework regarding an inverse problem. One presents the extension of a global optimization algorithm to estimate not only an optimal set of modeling parameters, but also their optimal distributions. Regarding its characteristics, differential evolution algorithm is used to demonstrate this extension, although other population-based algorithms may be considered. The adaptive empirical distributions algorithm is here introduced for the same purpose. Both schemes rely on the minimization of the dissimilarity between the empirical cumulative distribution functions of two data sets, using a goodness-of-fit test to evaluate their resemblance.
Original languageEnglish
Pages (from-to) 277-291
JournalInternational Journal for Computational Methods in Engineering Science and Mechanics
Issue number6
Publication statusPublished - 1 Feb 2017


  • Adaptive empirical distributions
  • differential evolution
  • empirical CDF
  • Inverse problems
  • inverse sampling
  • two samples Kolmogorov–Smirnov goodness-of-fit test


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