Accession Number:

AD0275323

Title:

BOOLEAN MATRICES AND THE STABILITY OF NEURAL NETS

Descriptive Note:

Corporate Author:

AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s):

• URBANO,R.H.

Report Date:

1962-01-01

Pagination or Media Count:

1.0

Abstract:

THE FUNCTIONAL STATES OF A NEURAL COMBINATORIAL NET OF PRESCRIBED INTERCONNECTION GEOMETRY AND OVER-ALL NET FUNCTION ARE CHARACTERIZED AND ENUMERATED. The problem i formalized for nets having an arbitrary number of inputs and outputs by introducing the notion of a Boolean matrix. Various theorems forming a basis for the treatment of other neural net problems are proved.A discu sion of the concept of staility leads to a definition of a measure of net stability closely related to the set of functional s tes over which the input-output function i invariant. Author

Descriptors:

• *ELECTRICAL NETWORKS
• *MATRICES(MATHEMATICS)
• *NETS
• *TRANSFORMATIONS(MATHEMATICS)
• ALGEBRA
• COMBINATORIAL ANALYSIS
• FUNCTIONS(MATHEMATICS)
• GEOMETRY
• MATHEMATICAL LOGIC
• STABILITY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE