mathflow(Dependently typed tensorflow modeler)

This package provides a model of tensor-operations. The model is independent from tensorflow-binding of python and haskell, though this package generates python-code. tensor's dimensions and constraints are described by dependent types. The tensor-operations are based on tensorflow-api. Currently the model can be translated into python-code. To write this package, I refer to this neural network document and singletons.

Install

Install tensorflow of python and this package.

> sudo apt install python3 python3-pip
> pip3 install -U pip
> pip3 install tensorflow
> git clone git@github.com:junjihashimoto/mathflow.git
> cd mathflow
> stack install

Usage

About model

Model has a type of Tensor (dimensions:[Nat]) value-type output-type.

• dimensions are tensor-dimensions.
• value-type is a value type like Integer or Float of tensorflow-data-types.
• output-type is a type of code which this package generates. PyString-type is used for generating python-code.

This package makes tensorflow-graph from the mode. The model's endpoint is always a tensor-type.

At first write graph by using arithmetic operators like (+,-,,/), % (which is matrix multiply) and tensorflow-functions. Mathflow.{TF,TF.NN,TF.Train} packages define Tensorflow-functions.

A example is below.

testMatMul :: Tensor '[2,1] Int PyString
testMatMul = 
  let n1 = (Tensor "tf.constant([[2],[3]])") :: Tensor '[2,1] Int PyString
      n2 = (Tensor "tf.constant([[2,0],[0,1]])") :: Tensor '[2,2] Int PyString
      y = (n2 %* n1) :: Tensor '[2,1] Int PyString
  in y

Create model and run it

Write tensorflow-model.

testMatMul :: Tensor '[2,1] Int PyString
testMatMul = 
  let n1 = (Tensor "tf.constant([[2],[3]])") :: Tensor '[2,1] Int PyString
      n2 = (Tensor "tf.constant([[2,0],[0,1]])") :: Tensor '[2,2] Int PyString
      y = n2 %* n1 :: Tensor '[2,1] Int PyString
  in y

Run the model. This run function generates python-code and excecute the code by python.

main = do
  (retcode,stdout,stderr) <- run testMatMul
  print stdout