notes on submodels

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Mike J Innes 2017-02-01 19:03:59 +05:30
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@ -116,4 +116,52 @@ The function provided, `x -> W * x + b`, will be used when `MyAffine` is used as
However, `@net` does not simply save us some keystrokes; it's the secret sauce that makes everything else in Flux go. For example, it analyses the code for the forward function so that it can differentiate it or convert it to a TensorFlow graph.
The above code is almost exactly how `Affine` is defined in Flux itself! There's no difference between "library-level" and "user-level" models, so making your code reusable doesn't involve a lot of extra complexity. Moreover, much more complex models than `Affine` are equally simple to define, and equally close to the mathematical notation; read on to find out how.
The above code is almost exactly how `Affine` is defined in Flux itself! There's no difference between "library-level" and "user-level" models, so making your code reusable doesn't involve a lot of extra complexity. Moreover, much more complex models than `Affine` are equally simple to define.
### Sub-Templates
`@net` models can contain sub-models as well as just array parameters:
```julia
@net type TLP
first
second
function (x)
l1 = σ(first(x))
l2 = softmax(second(l1))
end
end
```
Just as above, this is roughly equivalent to writing:
```julia
type TLP
first
second
end
function (self::TLP)(x)
l1 = σ(self.first)
l2 = softmax(self.second(l1))
end
```
Clearly, the `first` and `second` parameters are not arrays here, but should be models themselves, and produce a result when called with an input array `x`. The `Affine` layer fits the bill so we can instantiate `TLP` with two of them:
```julia
model = TLP(Affine(10, 20),
Affine(20, 15))
x1 = rand(20)
model(x1) # [0.057852,0.0409741,0.0609625,0.0575354 ...
```
You may recognise this as being equivalent to
```julia
Chain(
Affine(10, 20), σ
Affine(20, 15)), softmax
```
given that it's just a sequence of calls. For simple networks `Chain` is completely fine, although the `@net` version is more powerful as we can (for example) reuse the output `l1` more than once.