Bio-medical Ontologies Maintenance and Change Management

202 I.R. Godínez et al.
2. The V l matrices are built according to the learning phase of the alphabeta
heteroassociative multimemories type Max. The output patterns of
these memories are denoted as y.
3. The Λ l matrices are built according to the learning phase of the alphabeta
heteroassociative multimemories type Min. The output patterns of
these memories are denoted as yz.
RECALLING PHASE
1. A pattern to be classified is presented to the learning matrix type Max
and the resulting vector is known as ymax.
2. The same pattern is presented to the learning matrix type Min and the
resulting vector is known as ymin.
3. The vector ymin is negated to obtain the ˜ymin vector.
4. Apply the OR binary operation between the components of the ymax
and ˜ymin. The resulting vector is known as total class vector y.
5. The first k components from y, corresponding to the first class, are added;
the second k components from y, corresponding to the second class, are
added too, and so on, until we obtain as many values as classes we have.
6. The greater value(s) is(are) taken as the correct class(es).
7. For those cases in which there are more than one correct class elected, it
will not be possible determine to which class the pattern belongs, so it
will be considered as incorrect classification.
Example 3. Let the input patterns be divided in three different classes, x1 ,x2 to class 1 x3 ,x4 to class 2 and x5 ,x6 to class 3 :
x 1 ⎛ ⎞
1
⎜ 0 ⎟
⎜
= ⎜ 1 ⎟
⎜ 1 ⎟ ,x
⎟
⎝ 0 ⎠
0
2 ⎛ ⎞
0
⎜ 1 ⎟
⎜
= ⎜ 0 ⎟
⎜ 0 ⎟ ,x
⎟
⎝ 0 ⎠
1
3 ⎛ ⎞
1
⎜ 0 ⎟
⎜
= ⎜ 0 ⎟
⎜ 1 ⎟ ,
⎟
⎝ 0 ⎠
1
x 4 ⎛ ⎞
1
⎜ 1 ⎟
⎜
= ⎜ 0 ⎟
⎜ 1 ⎟ ,x
⎟
⎝ 1 ⎠
1
5 ⎛ ⎞
1
⎜ 0 ⎟
⎜
= ⎜ 0 ⎟
⎜ 1 ⎟ ,x
⎟
⎝ 1 ⎠
1
6 ⎛ ⎞
1
⎜ 1 ⎟
⎜
= ⎜ 1 ⎟
⎜ 0 ⎟
⎝ 0 ⎠
0
and the corresponding output patterns yμ in one-hot and yzμ in zero-hot
codifications. Then the fundamentals sets are expressed as follow:
�� 1 1
x ,y � , � x 2 ,y 2� , � x 3 ,y 3� , � x 4 ,y 4� , � x 5 ,y 5� , � x 6 ,y 6��
�� 1 1
x ,yz � , � x 2 ,yz 2� , � x 3 ,yz 3� , � x 4 ,yz 4� , � x 5 ,yz 5� , � x 6 ,yz 6��