Artificial Intelligence By Example

Checking linear separability

The session has now taken the four XOR linearly non-separable (see Chapter 4, Become an Unconventional Innovator) predicates, that is, four possibilities, and computed a linearly separable solution:

The input of the output expected was the following:

XOR_Y = [[0],[1],[1],[0]]

One of the results obtained is the following:

Output [[ 0.01742549] [ 0.98353356] [ 0.98018438] [ 0.01550745]

The results are separable as described in Chapter 4, Become an Unconventional Innovator. If you plot the values, you can separate them with a line.

The results are displayed by printing the intermediate values as the session runs, as shown in the following code:

if epoch % 10000 == 0: print('Epoch ', epoch) print('Output ', sess.run(Output, ...