numeric-optimization-backprop-0.1.0.1: README.md

# numeric-optimization-backprop

[![Hackage](https://img.shields.io/hackage/v/numeric-optimization-backprop.svg)](https://hackage.haskell.org/package/numeric-optimization-backprop)
[![Hackage Deps](https://img.shields.io/hackage-deps/v/numeric-optimization-backprop.svg)](https://packdeps.haskellers.com/feed?needle=numeric-optimization-backprop)
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Wrapper of [numeric-optimization](https://hackage.haskell.org/package/numeric-optimization) package for using with [backprop](https://hackage.haskell.org/package/backprop) package.

## Example Usage

```haskell
{-# LANGUAGE FlexibleContexts #-}
import Numeric.Optimization.Backprop
import Lens.Micro

main :: IO ()
main = do
  result <- minimize LBFGS def rosenbrock Nothing [] (-3,-4)
  print (resultSuccess result)  -- True
  print (resultSolution result)  -- [0.999999999009131,0.9999999981094296]
  print (resultValue result)  -- 1.8129771632403013e-18

-- https://en.wikipedia.org/wiki/Rosenbrock_function
rosenbrock :: Reifies s W => BVar s (Double, Double) -> BVar s Double
rosenbrock t = sq (1 - x) + 100 * sq (y - sq x)
  where
    x = t ^^. _1
    y = t ^^. _2

sq :: Floating a => a -> a
sq x = x ** 2
```