Title
White Box Model of Feasible Solutions of Unity Gain Cells
Abstract
Equations or symbolic models of analog 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 modeling, as opposed to other, more opaque, modeling 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 optimized 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 optimization 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.
Year
DOI
Venue
2014
10.1109/MICAI.2014.32
2014 13th Mexican International Conference on Artificial Intelligence
Keywords
Field
DocType
Symbolic Regression,UGC,Analog Integrated Circuits,NSGA-II
Data modeling,Interpretability,Mathematical optimization,Expression (mathematics),Polynomial,White box,Computer science,Genetic programming,Operator (computer programming),Artificial intelligence,Symbolic regression,Machine learning
Conference
ISBN
Citations 
PageRank 
978-1-4673-7010-3
0
0.34
References 
Authors
13
2
Name
Order
Citations
PageRank
Said Polanco-Martagon111.07
José Ruíz Ascencio200.34