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161 lines
6.1 KiB
Haskell
161 lines
6.1 KiB
Haskell
-- Copyright 2016 TensorFlow authors.
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--
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-- Licensed under the Apache License, Version 2.0 (the "License");
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-- you may not use this file except in compliance with the License.
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-- You may obtain a copy of the License at
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--
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-- http://www.apache.org/licenses/LICENSE-2.0
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--
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-- Unless required by applicable law or agreed to in writing, software
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-- distributed under the License is distributed on an "AS IS" BASIS,
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-- WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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-- See the License for the specific language governing permissions and
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-- limitations under the License.
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{-# LANGUAGE OverloadedLists #-}
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import Control.Monad (zipWithM, when, forM, forM_)
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import Control.Monad.IO.Class (liftIO)
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import Data.Int (Int32, Int64)
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import qualified Data.Text.IO as T
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import qualified Data.Vector as V
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import qualified TensorFlow.ControlFlow as TF
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import qualified TensorFlow.Build as TF
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import qualified TensorFlow.Ops as TF
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import qualified TensorFlow.Session as TF
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import qualified TensorFlow.Tensor as TF
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import qualified TensorFlow.Types as TF
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import qualified TensorFlow.Gradient as TF
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import TensorFlow.Examples.MNIST.InputData
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import TensorFlow.Examples.MNIST.Parse
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numPixels = 28^2 :: Int64
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numLabels = 10 :: Int64
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-- | Create tensor with random values where the stddev depends on the width.
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randomParam :: Int64 -> TF.Shape -> TF.Build (TF.Tensor TF.Value Float)
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randomParam width (TF.Shape shape) =
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(* stddev) <$> TF.truncatedNormal (TF.vector shape)
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where
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stddev = TF.scalar (1 / sqrt (fromIntegral width))
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-- Types must match due to model structure (sparseToDense requires
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-- index types to match)
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type LabelType = Int32
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type BatchSize = Int32
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-- | Convert scalar labels to one-hot vectors.
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labelClasses :: TF.Tensor TF.Value LabelType
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-> LabelType
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-> BatchSize
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-> TF.Tensor TF.Value Float
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labelClasses labels numClasses batchSize =
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let indices = TF.range 0 (TF.scalar batchSize) 1
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concated = TF.concat 1 [TF.expandDims indices 1, TF.expandDims labels 1]
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in TF.sparseToDense concated
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(TF.constant [2] [batchSize, numClasses])
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1 {- ON value -}
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0 {- default (OFF) value -}
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-- | Fraction of elements that differ between two vectors.
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errorRate :: Eq a => V.Vector a -> V.Vector a -> Double
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errorRate xs ys = fromIntegral (len - numCorrect) / fromIntegral len
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where
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numCorrect = V.length $ V.filter id $ V.zipWith (==) xs ys
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len = V.length xs
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data Model = Model {
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train :: TF.TensorData Float -- ^ images
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-> TF.TensorData LabelType
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-> TF.Session ()
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, infer :: TF.TensorData Float -- ^ images
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-> TF.Session (V.Vector LabelType) -- ^ predictions
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}
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createModel :: Int64 -> TF.Build Model
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createModel batchSize = do
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-- Inputs.
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images <- TF.placeholder [batchSize, numPixels]
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-- Hidden layer.
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let numUnits = 500
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hiddenWeights <-
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TF.initializedVariable =<< randomParam numPixels [numPixels, numUnits]
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hiddenBiases <- TF.zeroInitializedVariable [numUnits]
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let hiddenZ = (images `TF.matMul` hiddenWeights) `TF.add` hiddenBiases
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let hidden = TF.relu hiddenZ
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-- Logits.
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logitWeights <-
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TF.initializedVariable =<< randomParam numUnits [numUnits, numLabels]
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logitBiases <- TF.zeroInitializedVariable [numLabels]
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let logits = (hidden `TF.matMul` logitWeights) `TF.add` logitBiases
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predict <- TF.render $ TF.cast $
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TF.argMax (TF.softmax logits) (TF.scalar (1 :: LabelType))
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-- Create training action.
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labels <- TF.placeholder [batchSize]
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let labelVecs = labelClasses labels 10 (fromIntegral batchSize)
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loss = fst $ TF.softmaxCrossEntropyWithLogits logits labelVecs
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params = [hiddenWeights, hiddenBiases, logitWeights, logitBiases]
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grads <- TF.gradients loss params
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let lr = TF.scalar $ 0.001 / fromIntegral batchSize
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applyGrad param grad
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= TF.assign param $ param `TF.sub` (lr * grad)
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trainStep <- TF.group =<< zipWithM applyGrad params grads
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return Model {
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train = \imFeed lFeed -> TF.runWithFeeds_ [
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TF.feed images imFeed
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, TF.feed labels lFeed
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] trainStep
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, infer = \imFeed -> TF.runWithFeeds [TF.feed images imFeed] predict
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}
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main = TF.runSession $ do
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-- Read training and test data.
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trainingImages <- liftIO (readMNISTSamples =<< trainingImageData)
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trainingLabels <- liftIO (readMNISTLabels =<< trainingLabelData)
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testImages <- liftIO (readMNISTSamples =<< testImageData)
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testLabels <- liftIO (readMNISTLabels =<< testLabelData)
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let batchSize = 100 :: Int64
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-- Create the model.
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model <- TF.build $ createModel batchSize
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-- Helpers for generate batches.
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let selectBatch i xs = take size $ drop (i * size) $ cycle xs
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where size = fromIntegral batchSize
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let getImageBatch i xs = TF.encodeTensorData
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[batchSize, numPixels]
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$ fromIntegral <$> mconcat (selectBatch i xs)
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let getExpectedLabelBatch i xs =
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fromIntegral <$> V.fromList (selectBatch i xs)
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-- Train.
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forM_ ([0..1000] :: [Int]) $ \i -> do
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let images = getImageBatch i trainingImages
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labels = getExpectedLabelBatch i trainingLabels
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train model images (TF.encodeTensorData [batchSize] labels)
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when (i `mod` 100 == 0) $ do
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preds <- infer model images
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liftIO $ putStrLn $
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"training error " ++ show (errorRate preds labels * 100)
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liftIO $ putStrLn ""
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-- Test.
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let numTestBatches = length testImages `div` fromIntegral batchSize
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testPreds <- fmap mconcat $ forM [0..numTestBatches] $ \i -> do
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infer model (getImageBatch i testImages)
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let testExpected = fromIntegral <$> V.fromList testLabels
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liftIO $ putStrLn $
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"test error " ++ show (errorRate testPreds testExpected * 100)
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-- Show some predictions.
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liftIO $ forM_ ([0..3] :: [Int]) $ \i -> do
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putStrLn ""
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T.putStrLn $ drawMNIST $ testImages !! i
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putStrLn $ "expected " ++ show (testLabels !! i)
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putStrLn $ " got " ++ show (testPreds V.! i)
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