booktitle = "13th Mexican International Conference on Artificial
Intelligence (MICAI)",
title = "White Box Model of Feasible Solutions of Unity Gain
Cells",
year = "2014",
pages = "167--173",
abstract = "Equations or symbolic models of analogue circuits
increase designers' quantitative and qualitative
understanding of a circuit, leading to a better
decision-making. In this work symbolic regression is
defined as white-box modelling, as opposed to other,
more opaque, modelling types. This paper presents an
approach to generate data-driven white box models. Our
approach consists of two steps: firstly, the
Pareto-optimal performance sizes of the Unity Gain Cell
are obtained. For this work, unity gain and bandwidth
have been simultaneously optimised using the NSGA-II
algorithms. Secondly, the resulting Pareto Optimal
front is used as data for the construction of white box
models of performance as a function of the MOSFET
design variables using Multigene genetic programming,
which is a modified symbolic regression technique.
Experiments were carried out using data obtained by
SPICE simulation from the optimisation of a voltage
follower and a current follower, a set of nine
functions (including operators), RMSE as precision
measure, and a number of nodes as complexity measure.
Among the symbolic models obtained, the simplest in
terms of interpretability were sums of polynomials of
the design variables. It was found that Multigene
Genetic Programming can extract interpretable
expressions even where the original design space was
not sampled uniformly.",