Modeling temporal morphological systems via lattice dynamical systems Conference Paper uri icon

abstract

  • This paper introduces the family of Finite Lattice Dynamical Systems (FLDS), that includes, for example, the family of finite chain dynamical systems. It also gives a constructive algebraic representation for these systems, based on classical lattice operator morphological representations, and formalizes the problem of FLDS identification from stochastic initial condition, input and ideal output. Under acceptable practical conditions, the identification problem reduces to a set of problems of lattice operator design from observed input-output data, that has been extensively studied in the context of designing morphological image operators. Finally, an application of this technique for the identification of Boolean Networks (i.e., Boolean lattice dynamical systems) from simulated data is presented and analyzed.

name of conference

  • Nonlinear Image Processing and Pattern Analysis XII

published proceedings

  • Proceedings of SPIE

author list (cited authors)

  • Barrera, .., Dougherty, E. R., Gubitoso, M. D., & Hirata, N.

citation count

  • 1

complete list of authors

  • Dougherty, Edward R||Gubitoso, Marco D||Hirata, Nina ST

editor list (cited editors)

  • Dougherty, E. R., & Astola, J. T.

publication date

  • May 2001