paper available
mm@santafe.edu
mm at santafe.edu
Wed Mar 17 17:51:39 EST 1993
Though not about connectionist networks, the following TR may be of interest
to readers of this list:
-----------------------------
The following paper is available by public ftp.
Revisiting the Edge of Chaos:
Evolving Cellular Automata to Perform Computations
Melanie Mitchell Peter T. Hraber James P. Crutchfield
Santa Fe Institute Santa Fe Institute University of California, Berkeley
Santa Fe Institute Working Paper 93-03-014
Abstract
We present results from an experiment similar to one performed by
Packard (1988), in which a genetic algorithm is used to evolve
cellular automata (CA) to perform a particular computational task. Packard
examined the frequency of evolved CA rules as a function of Langton's
lambda parameter (Langton, 1990), and interpreted the results of his
experiment as giving evidence for the following two hypotheses:
(1) CA rules able to perform complex computations are most likely
to be found near ``critical'' lambda values, which have been claimed
to correlate with a phase transition between ordered and chaotic behavioral
regimes for CA; (2) When CA rules are evolved to perform a complex
computation, evolution will tend to select rules with lambda values
close to the critical values. Our experiment produced very different results,
and we suggest that the interpretation of the original results is not
correct. We also review and discuss issues related to lambda,
dynamical-behavior classes, and computation in CA.
The main constructive results of our study are identifying the emergence
and competition of computational strategies and analyzing the central
role of symmetries in an evolutionary system. In particular, we
demonstrate how symmetry breaking can impede the evolution toward
higher computational capability.
To obtain an electronic copy:
ftp santafe.edu
login: anonymous
password: <your email address>
cd /pub/Users/mm
binary
get rev-edge.ps.Z
quit
Then at your system:
uncompress rev-edge.ps.Z
lpr -P<printer-name> rev-edge.ps
To obtain a hard copy, send a request to mm at santafe.edu.
More information about the Connectionists
mailing list