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3 operations for machine learning in CAP
 3.1 Add-methods

3 operations for machine learning in CAP

3.1 Add-methods

3.1-1 AddMultiplicationForMorphisms
‣ AddMultiplicationForMorphisms( C, F )( operation )
‣ AddMultiplicationForMorphisms( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation MultiplicationForMorphisms. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha, beta ) \mapsto \mathtt{MultiplicationForMorphisms}(alpha, beta).

3.1-2 AddReverseDifferential
‣ AddReverseDifferential( C, F )( operation )
‣ AddReverseDifferential( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ReverseDifferential. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( alpha ) \mapsto \mathtt{ReverseDifferential}(alpha).

3.1-3 AddReverseDifferentialWithGivenObjects
‣ AddReverseDifferentialWithGivenObjects( C, F )( operation )
‣ AddReverseDifferentialWithGivenObjects( C, F, weight )( operation )

Returns: nothing

The arguments are a category C and a function F. This operation adds the given function F to the category for the basic operation ReverseDifferentialWithGivenObjects. Optionally, a weight (default: 100) can be specified which should roughly correspond to the computational complexity of the function (lower weight = less complex = faster execution). F: ( source, alpha, range ) \mapsto \mathtt{ReverseDifferentialWithGivenObjects}(source, alpha, range).

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