【机器学习】-Week4.4 Examples and Intu

Examples and Intuitions II

The Θ(1) matrices for AND, NOR(Not x1 and Not x2), and OR are:

We can combine these to get the XNOR logical operator (which gives 1 if x_1 and x_2 are both 0 or both 1).

For the transition between the first and second layer, we'll use a Θ(1) matrix that combines the values for AND and NOR:

For the transition between the second and third layer, we'll use a Θ(2) matrix that uses the value for OR:

Let's write out the values for all our nodes:

And there we have the XNOR operator using a hidden layer with two nodes! The following summarizes the above algorithm:

来源：coursera 斯坦福 吴恩达 机器学习