Consider the problem of training a TLU (threshold logic unit) to do logical disj

Question

Consider the problem of training a TLU (threshold logic unit) to do logical disjunction using the error-correction procedure. Suppose that we start with the initial weights all equal to 0, and learning rate c=1. Find a minimal set of training instances that will correctly train the TLU (threshold logic unit) according to the procedure. Here a training set is minimal if removing any instance in it will not produce a TLU (threshold logic unit) for the logical disjunction. Please show the details of your work including the converging sequence of the weights

Explanation / Answer

Answer:-

In instruction to train the TLU we will need to have minimum 2^n training statistics where n is the number of inputs to TLU.

As this will confirm that the input statistics ideally efforts to characterize the truth table. There can be additional statistics which can be provided as well which will help fine adjust the weights and help resolve any variances but these is not mandatory.

e.g., For 3 input TLU minimum number of inputs required will be 2^3 = 8

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