3.9 Consider an autoassociative net with the bipolar step function as the activation func- tion and weights set by the Hebb rule (outer products), with the main diagonal of the weight matrix set to zero. a. Find the weight matrix to store the vector V, = (1, 1, 1, 1, 1, 1). b. Test the net, using V1 as input. c. Test the net, using т %3D (1, 1, 1, 1, -1, - 1). d. Find the weight matrix to store the vector V2 = (1, 1, 1, -1, -1, - 1). e. Test the net, using V2 as input. f. Test the net, using Т, 3D (1, 1, 1, —1, 0, 0). g. Find the weight matrix to store both V, and V2. h. Test the net on V,, V2, T1, T2.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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3.9 Consider an autoassociative net with the bipolar step function as the activation func- tion and weights set by the Hebb rule (outer products), with the main diagonal of the weight matrix set to zero. a. Find the weight matrix to store the vector Vi=(,1,1,1,1, 1. b. Test the net, using V, as input. ¢. Test the net, using T =(,1,11,-1,-1. d. Find the weight matrix to store the vector Ya= (il 1 ~1,~1, ~1), Test the net, using V; as input. f. Test the net, using Lh=(,11,-10,0). Find the weight matrix to store both V, and V,. . Test the neton V,, V5, Ty, T>. Fw
3.9 Consider an autoassociative net with the bipolar step function as the activation func-
tion and weights set by the Hebb rule (outer products), with the main diagonal of
the weight matrix set to zero.
a. Find the weight matrix to store the vector
V, = (1, 1, 1, 1, 1, 1).
b. Test the net, using V1 as input.
c. Test the net, using
т %3D (1, 1, 1, 1, -1, - 1).
d. Find the weight matrix to store the vector
V2 = (1, 1, 1, -1, -1, -1).
e. Test the net, using V2 as input.
f. Test the net, using
Т, %3D (1, 1, 1, —1, 0, 0).
g. Find the weight matrix to store both V, and V2.
h. Test the net on V,, V2, T1, T2.
Transcribed Image Text:3.9 Consider an autoassociative net with the bipolar step function as the activation func- tion and weights set by the Hebb rule (outer products), with the main diagonal of the weight matrix set to zero. a. Find the weight matrix to store the vector V, = (1, 1, 1, 1, 1, 1). b. Test the net, using V1 as input. c. Test the net, using т %3D (1, 1, 1, 1, -1, - 1). d. Find the weight matrix to store the vector V2 = (1, 1, 1, -1, -1, -1). e. Test the net, using V2 as input. f. Test the net, using Т, %3D (1, 1, 1, —1, 0, 0). g. Find the weight matrix to store both V, and V2. h. Test the net on V,, V2, T1, T2.
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