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https://hdl.handle.net/2142/22671
Description
Title
Optimal representation of experimental data
Author(s)
Breeden, Joseph Lynn
Issue Date
1992
Doctoral Committee Chair(s)
Packard, Norman H.
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Physics, General
Physics, Astronomy and Astrophysics
Language
eng
Abstract
No single state space reconstruction of experimental data is optimal for all scientific endeavors. This thesis is all about the coordinates used in reconstruction, the goals of reconstruction, and the criteria used to select optimal reconstructions. A learning algorithm is described, which when given a space of possible coordinates and an optimality criterion selects the best state space reconstruction. This method is applied to specific problems: modeling nonuniformly sampled data, computing the inferable dimension of a data set, and model-based control.
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