In essence, *all* the torch code <https://github.com/torch/nn> is 
matrix/tensor operations. The only exception is the function 
StochasticGradient:train, which performs the training iteration. This is 
approximately zero percent of the code base.

In retrospect, this makes sense.  The result of training is nothing but an 
array of numbers, so everything else, including loss functions (Criteria) 
must also be expressed in that form.  Still it was a big, big shock. I'll 
never forget it.

I'm trying to think what I was expecting.  First, I was expecting some form 
of statistics and partial derivatives.  They are there, I think, but 
expressed in matrix/tensor form.

Second, I'm so used to thinking in terms of algorithms.  To see a supremely 
important "algorithm" that is nothing but math operations was quite a 
shock.  It shows the latent power of mathematics.

Evolution almost certainly acts on similar arrays of numbers, namely the 
weights attached to synapses.  Just as evolution is "merely" a process, 
without any understanding, direction or purpose, the deep learning 
algorithm has no understanding, direction or purpose.  *Processes are not 
the kinds of things that can have understanding, direction or purpose! * 
Otoh, just as we can speak of selection pressure when talking about 
evolution, the *results *of deep learning create agents that appear to 
understand games (and other things) very deeply indeed.

Two questions come to mind.  First, how is it that arrays can be trained so 
effectively?  Second, how do those arrays can then drive actions, say the 
playing of Atari games with super-human skill?  I'll be investigating these 
questions in my spare time.

Edward

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