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d62c614695
Distinguish between "rendered" and "unrendered" Tensors. There are now three types of `Tensor`: - `Tensor Value a`: rendered value - `Tensor Ref a`: rendered reference - `Tensor Build a` : unrendered value The extra bookkeeping makes it easier to track (and enforce) which tensors are rendered or not. For examples where this has been confusing in the past, see With this change, pure ops look similar to before, returning `Tensor Build` instead of `Tensor Value`. "Stateful" (monadic) ops are unchanged. For example: add :: OneOf [..] t => Tensor v'1 t -> Tensor v'2 t -> Tensor Build t assign :: (MonadBuild m, TensorType t) => Tensor Ref t -> Tensor v'2 t -> m (Tensor Ref t) The `gradients` function now requires that the variables over which it's differentiating are pre-rendered: gradients :: (..., Rendered v2) => Tensor v1 a -> [Tensor v2 a] -> m [Tensor Value a] (`Rendered v2` means that `v2` is either a `Ref` or a `Value`.) Additionally, the implementation of `gradients` now takes care to render every intermediate value when performing the reverse accumulation. I suspect this fixes an exponential blowup for complicated expressions.
150 lines
5.7 KiB
Haskell
150 lines
5.7 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 FlexibleContexts #-}
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{-# LANGUAGE OverloadedLists #-}
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import Control.Monad (zipWithM, when, 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 Data.List (genericLength)
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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.Core as TF
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import qualified TensorFlow.Gradient as TF
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import qualified TensorFlow.Ops 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, numLabels :: Int64
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numPixels = 28*28 :: 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.Build Float)
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randomParam width (TF.Shape shape) =
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(`TF.mul` 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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reduceMean :: TF.Tensor TF.Build Float -> TF.Tensor TF.Build Float
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reduceMean xs = TF.mean xs (TF.scalar (0 :: Int32))
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-- Types must match due to model structure.
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type LabelType = Int32
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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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, errorRate :: TF.TensorData Float -- ^ images
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-> TF.TensorData LabelType
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-> TF.Session Float
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}
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createModel :: TF.Build Model
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createModel = do
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-- Use -1 batch size to support variable sized batches.
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let batchSize = -1
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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 = TF.oneHot labels (fromIntegral numLabels) 1 0
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loss =
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reduceMean $ 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 0.00001
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applyGrad param grad = TF.assign param $ param `TF.sub` (lr `TF.mul` grad)
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trainStep <- TF.group =<< zipWithM applyGrad params grads
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let correctPredictions = TF.equal predict labels
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errorRateTensor <- TF.render $ 1 - reduceMean (TF.cast correctPredictions)
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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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, errorRate = \imFeed lFeed -> TF.unScalar <$> TF.runWithFeeds [
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TF.feed images imFeed
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, TF.feed labels lFeed
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] errorRateTensor
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}
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main :: IO ()
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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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-- Create the model.
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model <- TF.build createModel
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-- Functions for generating batches.
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let encodeImageBatch xs =
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TF.encodeTensorData [genericLength xs, numPixels]
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(fromIntegral <$> mconcat xs)
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let encodeLabelBatch xs =
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TF.encodeTensorData [genericLength xs]
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(fromIntegral <$> V.fromList xs)
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let batchSize = 100
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let selectBatch i xs = take batchSize $ drop (i * batchSize) (cycle xs)
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-- Train.
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forM_ ([0..1000] :: [Int]) $ \i -> do
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let images = encodeImageBatch (selectBatch i trainingImages)
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labels = encodeLabelBatch (selectBatch i trainingLabels)
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train model images labels
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when (i `mod` 100 == 0) $ do
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err <- errorRate model images labels
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liftIO $ putStrLn $ "training error " ++ show (err * 100)
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liftIO $ putStrLn ""
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-- Test.
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testErr <- errorRate model (encodeImageBatch testImages)
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(encodeLabelBatch testLabels)
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liftIO $ putStrLn $ "test error " ++ show (testErr * 100)
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-- Show some predictions.
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testPreds <- infer model (encodeImageBatch testImages)
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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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