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Introduce reverse mode autodiff

So far we have only worked on forward mode autodiff. However, to implement backprop and build some simple machine learning application we'll need to implement some reverse mode autodiff.

For now I'd like create a new module to follow with this example.

The implementation requires a Variable and a TapeEntry class:

classDiagram
    Variable ..> TapeEntry
    GradientTape ..> TapeEntry

    class Variable {
         +String name
         +f32 value
         +add(Variable) Variable
         +mul(Variable) Variable
    }
    class TapeEntry {
        +Vec[&Variable] inputs
        +Vec[&Variable] outputs
        +Fn propagate
    }
    class GradientTape {
        +Vec<TapeEntry>
        +add_entry(TapeEntry)
        +clear()
     }
Loading

Additional some functions need to be implemented:

  • reset_tape: reset gradient tape
  • grad: calculate gradients

Note

This is only a rough outline for now. I will refine the issue as the development proceeds.

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