Dyadic combining
In dyadic combining two mappings W1
and W2
are related by one of the Matlab
operators
+, -, .*, .^ , /, , ./, |, &, ~, xor, >, >=, <, <=, =, ~=, ~
e.g.
W = W1 + W2
The *
-operator (matrix multiplication) is already overloaded as a sequential mapping and falls thereby outside this group. The ~
-operator (logical not) is a monadic operator but is implemented similarly as the other logical operators.
For every of the above operators, like + holds that the following should be true:
A*W = A*(W1+W2) A*W = A*W1 + A*W2 A*W = B1 + B2
Here A
is a dataset or a datafile that is applied to the mappings W
, W1
or W2
. The two mappings to be combined should thereby be of the same type (untrained, fixed or trained) and have the same sizes. There are a few exceptions. Fixed and trained mappings of the same input and output dimensions can be combined. One of the two mappings can also be a matrix of doubles, in which case it is treated as a fixed mapping. A scalar used instead of W1
or W2
just multiplies all elements of the dataset A
and is thereby also treated as a fixed mapping.
In case W1
and W2
are untrained mappings, they are trained by A
. The results B1
and B2
are thereby trained mappings.
The resulting mapping W
is always given the same annotation as W1
, unless it is a scalar or a matrix of doubles. In that case W
copies the annotation of W2
.
Links
operations: basic, datasets, datafiles, mappings, classifiers, stacked, parallel, sequential, dyadic
commands: datasets, representation , classifiers, evaluation, clustering and regression, examples, support