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Max Tegmark
Life 3.0
which is way more than there are atoms in our universe,
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Max Tegmark
Life 3.0
right, so in order to,
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Max Tegmark
Life 3.0
and then for each one of those,
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Max Tegmark
Life 3.0
I have to assign a number,
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Max Tegmark
Life 3.0
which is the probability that it's a dog.
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Max Tegmark
Life 3.0
So an arbitrary function of images
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Max Tegmark
Life 3.0
is a list of more numbers than there are atoms in our universe.
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Max Tegmark
Life 3.0
So clearly I can't store that under the hood of my GPU
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Max Tegmark
Life 3.0
or my computer, yet somehow it works.
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Max Tegmark
Life 3.0
So what does that mean?
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Max Tegmark
Life 3.0
Well, it means that out of all of the problems
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Max Tegmark
Life 3.0
that you could try to solve with a neural network,
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Max Tegmark
Life 3.0
almost all of them are impossible to solve
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Max Tegmark
Life 3.0
with a reasonably sized one.
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Max Tegmark
Life 3.0
But then what we showed in our paper
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Max Tegmark
Life 3.0
was that the fraction, the kind of problems,
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Max Tegmark
Life 3.0
the fraction of all the problems
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Max Tegmark
Life 3.0
that you could possibly pose,
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Max Tegmark
Life 3.0
that we actually care about given the laws of physics
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Max Tegmark
Life 3.0
is also an infinite testimony, tiny little part.
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Max Tegmark
Life 3.0
And amazingly, they're basically the same part.
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Max Tegmark
Life 3.0
Yeah, it's almost like our world was created for,
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Max Tegmark
Life 3.0
I mean, they kind of come together.
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Max Tegmark
Life 3.0
Yeah, well, you could say maybe where the world was created
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Max Tegmark
Life 3.0
for us, but I have a more modest interpretation,
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Max Tegmark
Life 3.0
which is that the world was created for us,
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Max Tegmark
Life 3.0
but I have a more modest interpretation,
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Max Tegmark
Life 3.0
which is that instead evolution endowed us
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Max Tegmark
Life 3.0
with neural networks precisely for that reason.
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Max Tegmark
Life 3.0
Because this particular architecture,
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Max Tegmark
Life 3.0
as opposed to the one in your laptop,
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Max Tegmark
Life 3.0
is very, very well adapted to solving the kind of problems
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Max Tegmark
Life 3.0
that nature kept presenting our ancestors with.
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Max Tegmark
Life 3.0
So it makes sense that why do we have a brain
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Max Tegmark
Life 3.0
in the first place?
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Max Tegmark
Life 3.0
It's to be able to make predictions about the future
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Max Tegmark
Life 3.0
and so on.
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Max Tegmark
Life 3.0
So if we had a sucky system, which could never solve it,
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Max Tegmark
Life 3.0
we wouldn't have a world.
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Max Tegmark
Life 3.0
So this is, I think, a very beautiful fact.
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Max Tegmark
Life 3.0
Yeah.
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Max Tegmark
Life 3.0
We also realize that there's been earlier work
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Max Tegmark
Life 3.0
on why deeper networks are good,
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Max Tegmark
Life 3.0
but we were able to show an additional cool fact there,
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Max Tegmark
Life 3.0
which is that even incredibly simple problems,
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Max Tegmark
Life 3.0
like suppose I give you a thousand numbers
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Max Tegmark
Life 3.0
and ask you to multiply them together,
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Max Tegmark
Life 3.0
and you can write a few lines of code, boom, done, trivial.
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Max Tegmark
Life 3.0
If you just try to do that with a neural network
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Max Tegmark
Life 3.0
that has only one single hidden layer in it,
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Max Tegmark
Life 3.0
you can do it,
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Max Tegmark
Life 3.0
but you're going to need two to the power of a thousand
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Max Tegmark
Life 3.0
neurons to multiply a thousand numbers,
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Max Tegmark
Life 3.0
which is, again, more neurons than there are atoms
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Max Tegmark
Life 3.0
in our universe.
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Max Tegmark
Life 3.0
That's fascinating.
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Max Tegmark
Life 3.0
But if you allow yourself to make it a deep network
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Max Tegmark
Life 3.0
with many layers, you only need 4,000 neurons.
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Max Tegmark
Life 3.0
It's perfectly feasible.
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Max Tegmark
Life 3.0
That's really interesting.
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Max Tegmark
Life 3.0
Yeah.
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Max Tegmark
Life 3.0
So on another architecture type,
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Max Tegmark
Life 3.0
I mean, you mentioned Schrodinger's equation,
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Max Tegmark
Life 3.0
and what are your thoughts about quantum computing
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Max Tegmark
Life 3.0
and the role of this kind of computational unit
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Max Tegmark
Life 3.0
in creating an intelligence system?
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Max Tegmark
Life 3.0
In some Hollywood movies that I will not mention by name
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Max Tegmark
Life 3.0
because I don't want to spoil them.
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Max Tegmark
Life 3.0
The way they get AGI is building a quantum computer.
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Max Tegmark
Life 3.0
Because the word quantum sounds cool and so on.
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Max Tegmark
Life 3.0
That's right.
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Max Tegmark
Life 3.0
First of all, I think we don't need quantum computers
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Max Tegmark
Life 3.0
to build AGI.
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Max Tegmark
Life 3.0
I suspect your brain is not a quantum computer
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Max Tegmark
Life 3.0
in any profound sense.
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Max Tegmark
Life 3.0
So you don't even wrote a paper about that
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Max Tegmark
Life 3.0
a lot many years ago.
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Max Tegmark
Life 3.0
I calculated the so called decoherence time,
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Max Tegmark
Life 3.0
how long it takes until the quantum computerness
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Max Tegmark
Life 3.0
of what your neurons are doing gets erased
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Max Tegmark
Life 3.0
by just random noise from the environment.
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Max Tegmark
Life 3.0
And it's about 10 to the minus 21 seconds.
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Max Tegmark
Life 3.0
So as cool as it would be to have a quantum computer
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Max Tegmark
Life 3.0
in my head, I don't think that fast.
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Max Tegmark
Life 3.0
On the other hand,
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Max Tegmark
Life 3.0
there are very cool things you could do
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Max Tegmark
Life 3.0
with quantum computers.
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Max Tegmark
Life 3.0
Or I think we'll be able to do soon
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Max Tegmark
Life 3.0
when we get bigger ones.
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Max Tegmark
Life 3.0
That might actually help machine learning
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Max Tegmark
Life 3.0
do even better than the brain.
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Max Tegmark
Life 3.0
So for example,
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Max Tegmark
Life 3.0
one, this is just a moonshot,
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Max Tegmark
Life 3.0
but learning is very much same thing as search.
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Max Tegmark
Life 3.0
If you're trying to train a neural network
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Max Tegmark
Life 3.0
to get really learned to do something really well,
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Max Tegmark
Life 3.0
you have some loss function,
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Max Tegmark
Life 3.0
you have a bunch of knobs you can turn,
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Max Tegmark
Life 3.0
represented by a bunch of numbers,
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Max Tegmark
Life 3.0
and you're trying to tweak them
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