Accession Number:

ADA586715

Title:

The Mathematics of the Brain

Descriptive Note:

Final rept. 15 Mar 2008-14 Mar 2009

Corporate Author:

AVEL ELECTRONICS PALO ALTO CA

Report Date:

2009-05-27

Pagination or Media Count:

50.0

Abstract:

The project develops a formalism for bridging the gap between symbolic and dynamic levels of the mathematical theory of the brain. The formalism is based on the hypotheses that the neocortex processes symbolic information in a nonclassical way. Instead of manipulating data in a readwrite memory, as the classical symbolic systems do, the neocortex changes the states of dynamic memory representing different temporary attributes of data stored in a long-term memory. This nonclassical symbolicdynamic computational paradigm is called the concept of E-machine. Intuitively, an E-machine manipulates characteristic functions over the sets of memory addresses of data rather than addresses and data themselves. The main results include 1 demonstrating the Turing universality of the E-machine paradigm, 2 showing how an E-machine can learn to simulate a readwrite working memory without actually re-writing data, 3 demonstrating how the E-machine paradigm can be efficiently implemented in biologically-realistic neural networks with temporal modulation. Several computer simulations supporting the theoretical results were performed.

Subject Categories:

  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE