- author = "Matthew Streeter and Lee A. Becker",
- title = "Toward a Better Sine Wave",
- booktitle = "2001 Genetic and Evolutionary Computation Conference Late Breaking Papers",
- year = "2001",
- editor = "Erik D. Goodman",
- pages = "398--404",
- address = "San Francisco, California, USA",
- month = "9-11 " # jul,
- keywords = "genetic algorithms, genetic programming, approximate computing",
-
URL = "
http://www.cs.cmu.edu/~matts/Research/mstreeter_gecco_2001_lb.pdf",
- size = "7 pages",
- abstract = "In a previous paper, we showed that genetic programming can be used to evolve approximations to functions which, given certain trade-offs between cost and error, are superior to Pade approximations, which represent a generalization of Taylor series and a powerful technique from numerical analysis. we present an extension to this work which allows existing Pade approximations to be used to bootstrap the evolutionary process. Specifically, we use program trees corresponding to existing Pade approximations to seed the initial GP population; this allows for the evolution of approximations which are much more accurate in approximating certain combinations of function and interval. We illustrate the effectiveness of this approach by evolving approximations to the function sin(x) over the interval [0,90 degrees] which build upon and significantly improve some of the most efficient Pade approximations to that function",
-
notes = "GECCO-2001LB. Follow up to
\cite{streeter:2001:GECCO}
See MSc https://digital.wpi.edu/concern/etds/g158bh353",
