Analyzing Functions

The classification of the patterns depends on the analyzing function. 402040 stands for the '402040' rule. That means on a range from 0 to 1 h will be 0.6 (upper 40%) and l will be 0.4 (lower 40%). The middle 20% is represented by h-l. The classification of the patterns will depend on h, l and other constrains (see 402040 below).
WTA stands for winner takes all. That means the classification depends on the unit with the highest output and other constrains (see WTA below). Band is an analyzing function that checks a band of values around the teaching output. This is the only analyzing function that treats teaching outputs of value zero correctly.

402040:
A pattern is classified correctly if:

• the output of exactly one output unit is h.
• the 'teaching output' of this unit is the maximum teaching output of the pattern.
• the output of all other output units is 1.

A pattern is classified incorrectly if:

• the output of exactly one output unit is h.
• the 'teaching output' of this unit is NOT the maximum 'teaching output' of the pattern.
• the output of all other units is 1.

A pattern is unclassified in all other cases.

WTA:
A pattern is classified correctly if:

• there is an output unit with the value greater than the output value of all other output units (this output value is supposed to be 0).
• 0 > h.
• the 'teaching output of this unit is the maximum 'teaching output' of the pattern.
• the output of all other units is < a-1.

A pattern is classified incorrectly if:

• there is an output unit with the value greater than the output value of all other output units (this output value is supposed to be 0).
• 0 > h.
• the 'teaching output ' of this unit is NOT the maximum 'teaching output' of the pattern.
• the output of all other output units is < a-1.

A pattern is unclassified in all other cases.

Band:
A pattern is classified correctly if for all output units:

• the output is >= the teaching output - low.
• the output is <= the teaching output + high.

A pattern is classified incorrectly if for all output units:

• the output is <= the teaching output - low.
  or
• the output is >= the teaching output + high.