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Diffstat (limited to 'tensorflow/contrib/autograph/examples/notebooks/dev_summit_2018_demo.ipynb')
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1 files changed, 753 insertions, 740 deletions
diff --git a/tensorflow/contrib/autograph/examples/notebooks/dev_summit_2018_demo.ipynb b/tensorflow/contrib/autograph/examples/notebooks/dev_summit_2018_demo.ipynb index 0702273fac..a3109fa5db 100644 --- a/tensorflow/contrib/autograph/examples/notebooks/dev_summit_2018_demo.ipynb +++ b/tensorflow/contrib/autograph/examples/notebooks/dev_summit_2018_demo.ipynb @@ -1,49 +1,20 @@ { - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "colab": { - "name": "Dev Summit 2018 - Autograph", - "version": "0.3.2", - "views": {}, - "default_view": {}, - "provenance": [ - { - "file_id": "1wCZUh73zTNs1jzzYjqoxMIdaBWCdKJ2K", - "timestamp": 1522238054357 - }, - { - "file_id": "1_HpC-RrmIv4lNaqeoslUeWaX8zH5IXaJ", - "timestamp": 1521743157199 - }, - { - "file_id": "1mjO2fQ2F9hxpAzw2mnrrUkcgfb7xSGW-", - "timestamp": 1520522344607 - } - ], - "collapsed_sections": [] - }, - "kernelspec": { - "name": "python2", - "display_name": "Python 2" - } - }, "cells": [ { + "cell_type": "markdown", "metadata": { - "id": "g7nGs4mzVUHP", - "colab_type": "text" + "colab_type": "text", + "id": "g7nGs4mzVUHP" }, - "cell_type": "markdown", "source": [ - "# Experimental: TF Autograph\n", + "# Experimental: TF AutoGraph\n", "**TensorFlow Dev Summit, 2018.**\n", "\n", - "This interactive notebook demonstrates **autograph**, an experimental source-code transformation library to automatically convert TF.Eager and Python code to TensorFlow graphs.\n", + "This interactive notebook demonstrates **AutoGraph**, an experimental source-code transformation library to automatically convert Python, TensorFlow and NumPy code to TensorFlow graphs.\n", "\n", "**Note: this is pre-alpha software!** The notebook works best with Python 2, for now.\n", "\n", - "> \n", + "\u003e \n", "\n", "### Table of Contents\n", "1. _Write Eager code that is fast and scalable._\n", @@ -53,37 +24,39 @@ ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "uFcgBENZqkB2", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "uFcgBENZqkB2" }, - "cell_type": "code", + "outputs": [], "source": [ "# Install TensorFlow; note that Colab notebooks run remotely, on virtual\n", "# instances provided by Google.\n", "!pip install -U -q tf-nightly" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "Pa2qpEmoVOGe", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "Pa2qpEmoVOGe" }, - "cell_type": "code", + "outputs": [], "source": [ "import os\n", "import time\n", @@ -96,170 +69,172 @@ "import six\n", "\n", "from google.colab import widgets" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "ZVKfj5ttVkqz", - "colab_type": "text" + "colab_type": "text", + "id": "ZVKfj5ttVkqz" }, - "cell_type": "markdown", "source": [ "# 1. Write Eager code that is fast and scalable\n", "\n", "TF.Eager gives you more flexibility while coding, but at the cost of losing the benefits of TensorFlow graphs. For example, Eager does not currently support distributed training, exporting models, and a variety of memory and computation optimizations.\n", "\n", - "Autograph gives you the best of both worlds: write your code in an Eager style, and we will automatically transform it into the equivalent TF graph code. The graph code can be executed eagerly (as a single op), included as part of a larger graph, or exported." + "AutoGraph gives you the best of both worlds: you can write your code in an Eager style, and we will automatically transform it into the equivalent TF graph code. The graph code can be executed eagerly (as a single op), included as part of a larger graph, or exported." ] }, { + "cell_type": "markdown", "metadata": { - "id": "snaZRFdWd9ym", - "colab_type": "text" + "colab_type": "text", + "id": "snaZRFdWd9ym" }, - "cell_type": "markdown", "source": [ - "For example, autograph can convert a function like this:" + "For example, AutoGraph can convert a function like this:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "9__n8cSIeDnD", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "9__n8cSIeDnD" }, - "cell_type": "code", + "outputs": [], "source": [ "def g(x):\n", - " if x > 0:\n", + " if x \u003e 0:\n", " x = x * x\n", " else:\n", " x = 0\n", " return x" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "gq0eQcuReHET", - "colab_type": "text" + "colab_type": "text", + "id": "gq0eQcuReHET" }, - "cell_type": "markdown", "source": [ "... into a TF graph-building function:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "sELSn599ePUF", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", - "height": 413 + "height": 431 }, - "outputId": "bb0c7216-1ca3-4da1-d1fb-589902cdcd1a", + "colab_type": "code", "executionInfo": { + "elapsed": 69, "status": "ok", - "timestamp": 1522345737505, - "user_tz": 240, - "elapsed": 243, + "timestamp": 1531750911837, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "sELSn599ePUF", + "outputId": "2858bde5-ae05-4c32-be01-7770ac914f02" }, - "cell_type": "code", - "source": [ - "print(autograph.to_code(g))" - ], - "execution_count": 0, "outputs": [ { + "name": "stdout", "output_type": "stream", "text": [ "from __future__ import print_function\n", "import tensorflow as tf\n", - "from tensorflow.contrib.autograph.impl import api as autograph_api\n", - "from tensorflow.contrib.autograph import utils as autograph_utils\n", "\n", "def tf__g(x):\n", - " with tf.name_scope('g'):\n", + " try:\n", + " with tf.name_scope('g'):\n", "\n", - " def if_true():\n", - " with tf.name_scope('if_true'):\n", - " x_1, = x,\n", - " x_1 = x_1 * x_1\n", - " return x_1,\n", + " def if_true():\n", + " with tf.name_scope('if_true'):\n", + " x_1, = x,\n", + " x_1 = x_1 * x_1\n", + " return x_1,\n", "\n", - " def if_false():\n", - " with tf.name_scope('if_false'):\n", - " x_1, = x,\n", - " x_1 = 0\n", - " return x_1,\n", - " x = autograph_utils.run_cond(tf.greater(x, 0), if_true, if_false)\n", - " return x\n", + " def if_false():\n", + " with tf.name_scope('if_false'):\n", + " x_2, = x,\n", + " x_2 = 0\n", + " return x_2,\n", + " x = ag__.utils.run_cond(tf.greater(x, 0), if_true, if_false)\n", + " return x\n", + " except:\n", + " ag__.rewrite_graph_construction_error(ag_source_map__)\n", "\n" - ], - "name": "stdout" + ] } + ], + "source": [ + "print(autograph.to_code(g))" ] }, { + "cell_type": "markdown", "metadata": { - "id": "j74n-8hEe6dk", - "colab_type": "text" + "colab_type": "text", + "id": "j74n-8hEe6dk" }, - "cell_type": "markdown", "source": [ "You can then use the converted function as you would any regular TF op -- you can pass `Tensor` arguments and it will return `Tensor`s:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "AkVaY0-dfEbH", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", "height": 53 }, - "outputId": "4ffe3757-c44d-424c-c2a8-7ddc973bfcce", + "colab_type": "code", "executionInfo": { + "elapsed": 83, "status": "ok", - "timestamp": 1522345737841, - "user_tz": 240, - "elapsed": 257, + "timestamp": 1531750911965, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "AkVaY0-dfEbH", + "outputId": "f04541ad-b1d3-4663-bf27-4d902648283d" }, - "cell_type": "code", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "g(9) = 81\n", + "tf_g(9) = 81\n" + ] + } + ], "source": [ "tf_g = autograph.to_graph(g)\n", "\n", @@ -272,77 +247,72 @@ "\n", " print('g(9) = %s' % g(9))\n", " print('tf_g(9) = %s' % tf_g_result)" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "g(9) = 81\n", - "tf_g(9) = 81\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "trrHQBM1VnD0", - "colab_type": "text" + "colab_type": "text", + "id": "trrHQBM1VnD0" }, - "cell_type": "markdown", "source": [ "# 2. Case study: complex control flow\n", "\n", - "Autograph can convert a large chunk of the Python language into graph-equivalent code, and we're adding new supported language features all the time. In this section, we'll give you a taste of some of the functionality in autograph.\n", - "Autograph will automatically convert most Python control flow statements into their correct graph equivalent.\n", + "Autograph can convert a large subset of the Python language into graph-equivalent code, and we're adding new supported language features all the time. In this section, we'll give you a taste of some of the functionality in AutoGraph.\n", + "AutoGraph will automatically convert most Python control flow statements into their graph equivalent.\n", " " ] }, { + "cell_type": "markdown", "metadata": { - "id": "u0YG3DPgZxoW", - "colab_type": "text" + "colab_type": "text", + "id": "u0YG3DPgZxoW" }, - "cell_type": "markdown", "source": [ "We support common statements like `while`, `for`, `if`, `break`, `return` and more. You can even nest them as much as you like. Imagine trying to write the graph version of this code by hand:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "xJYDzOcrZ8pI", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", "height": 35 }, - "outputId": "6c244ee4-b141-4ad6-eefa-cfffa71f33c6", + "colab_type": "code", "executionInfo": { + "elapsed": 169, "status": "ok", - "timestamp": 1522345738402, - "user_tz": 240, - "elapsed": 483, + "timestamp": 1531750912183, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "xJYDzOcrZ8pI", + "outputId": "f392b475-bf87-4d90-919d-44f895ee9fc7" }, - "cell_type": "code", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sum of even numbers: 42\n" + ] + } + ], "source": [ "def sum_even(numbers):\n", " s = 0\n", " for n in numbers:\n", - " if n % 2 > 0:\n", + " if n % 2 \u003e 0:\n", " continue\n", " s += n\n", " return s\n", @@ -358,77 +328,74 @@ " \n", "# Uncomment the line below to print the generated graph code\n", "# print(autograph.to_code(sum_even))" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "Sum of even numbers: 42\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "_YXo4KOcbKrn", - "colab_type": "text" + "colab_type": "text", + "id": "_YXo4KOcbKrn" }, - "cell_type": "markdown", "source": [ "Try replacing the `continue` in the above code with `break` -- Autograph supports that as well!" ] }, { + "cell_type": "markdown", "metadata": { - "id": "xHmC0rBIavW_", - "colab_type": "text" + "colab_type": "text", + "id": "xHmC0rBIavW_" }, - "cell_type": "markdown", "source": [ "The Python code above is much more readable than the matching graph code. Autograph takes care of tediously converting every piece of Python code into the matching TensorFlow graph version for you, so that you can quickly write maintainable code, but still benefit from the optimizations and deployment benefits of graphs." ] }, { + "cell_type": "markdown", "metadata": { - "id": "UEHWGpBXbS7g", - "colab_type": "text" + "colab_type": "text", + "id": "UEHWGpBXbS7g" }, - "cell_type": "markdown", "source": [ "Let's try some other useful Python constructs, like `print` and `assert`. We automatically convert Python `assert` statements into the equivalent `tf.Assert` code. " ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "qUU57xlEbauI", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", "height": 53 }, - "outputId": "add3db4a-2077-4dd5-f7a7-a5b5a4529c26", + "colab_type": "code", "executionInfo": { + "elapsed": 56, "status": "ok", - "timestamp": 1522345738697, - "user_tz": 240, - "elapsed": 253, + "timestamp": 1531750912292, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "qUU57xlEbauI", + "outputId": "c9cd536a-4a95-4eb0-98c0-aafce5d79580" }, - "cell_type": "code", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Got error message: assertion failed: [Do not pass zero!]\n", + "\t [[Node: f/Assert/Assert = Assert[T=[DT_STRING], summarize=3, _device=\"/job:localhost/replica:0/task:0/device:CPU:0\"](f/NotEqual, f/Assert/Assert/data_0)]]\n" + ] + } + ], "source": [ "def f(x):\n", " assert x != 0, 'Do not pass zero!'\n", @@ -444,61 +411,35 @@ " \n", "# Uncomment the line below to print the generated graph code\n", "# print(autograph.to_code(f))" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "Got error message: assertion failed: [Do not pass zero!]\n", - "\t [[Node: f/Assert/Assert = Assert[T=[DT_STRING], summarize=3, _device=\"/job:localhost/replica:0/task:0/device:CPU:0\"](f/NotEqual, f/Assert/Assert/data_0)]]\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "w5hBZaVJbck4", - "colab_type": "text" + "colab_type": "text", + "id": "w5hBZaVJbck4" }, - "cell_type": "markdown", "source": [ "You can also use `print` functions in-graph:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "6NdzRKLEboRv", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 - }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", - "height": 35 - }, - "outputId": "fb82dfc3-790f-4127-87f6-361805be9e9b", - "executionInfo": { - "status": "ok", - "timestamp": 1522345739013, - "user_tz": 240, - "elapsed": 247, - "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" } - } + }, + "colab_type": "code", + "id": "6NdzRKLEboRv" }, - "cell_type": "code", + "outputs": [], "source": [ "def print_sign(n):\n", - " if n >= 0:\n", + " if n \u003e= 0:\n", " print(n, 'is positive!')\n", " else:\n", " print(n, 'is negative!')\n", @@ -512,62 +453,58 @@ " \n", "# Uncomment the line below to print the generated graph code\n", "# print(autograph.to_code(print_sign))" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "1 is positive!\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "9u_Z3i3AivLA", - "colab_type": "text" + "colab_type": "text", + "id": "9u_Z3i3AivLA" }, - "cell_type": "markdown", "source": [ - "We can convert lists to TensorArray, so appending to lists also works, with a few modifications:" + "Appending to lists also works, with a few modifications:" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "MjhCQJVuiTNR", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", "height": 35 }, - "outputId": "dc320b87-595b-4392-d29c-994486fd8a0a", + "colab_type": "code", "executionInfo": { + "elapsed": 148, "status": "ok", - "timestamp": 1522345744470, - "user_tz": 240, - "elapsed": 5391, + "timestamp": 1531750912595, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "MjhCQJVuiTNR", + "outputId": "96bf9131-c7c1-4359-ee82-9c38575e7ab4" }, - "cell_type": "code", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0 1 2 3 4]\n" + ] + } + ], "source": [ "def f(n):\n", " numbers = []\n", " # We ask you to tell us about the element dtype.\n", - " autograph.utils.set_element_type(numbers, tf.int32)\n", + " autograph.set_element_type(numbers, tf.int32)\n", " for i in range(n):\n", " numbers.append(i)\n", " return autograph.stack(numbers) # Stack the list so that it can be used as a Tensor\n", @@ -580,65 +517,62 @@ " \n", "# Uncomment the line below to print the generated graph code\n", "# print(autograph.to_code(f))" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "[0 1 2 3 4]\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "UdG8ZFrkTAF2", - "colab_type": "text" + "colab_type": "text", + "id": "UdG8ZFrkTAF2" }, - "cell_type": "markdown", "source": [ "And all of these functionalities, and more, can be composed into more complicated code:\n" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "DVs6wt8NKaGQ", - "colab_type": "code", + "cellView": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {} - ], - "base_uri": "https://localhost:8080/", "height": 53 }, - "cellView": "code", - "outputId": "0a4b8d08-8f65-4bbc-85ba-dc4c60563519", + "colab_type": "code", "executionInfo": { + "elapsed": 555, "status": "ok", - "timestamp": 1522345745186, - "user_tz": 240, - "elapsed": 658, + "timestamp": 1531750913176, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "DVs6wt8NKaGQ", + "outputId": "8729229c-4f08-4640-d3a1-0d3f9c697a87" }, - "cell_type": "code", + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The prime numbers less than 50 are:\n", + "[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47]\n" + ] + } + ], "source": [ "def print_primes(n):\n", " \"\"\"Returns all the prime numbers less than n.\"\"\"\n", - " assert n > 0\n", + " assert n \u003e 0\n", " \n", " primes = []\n", - " autograph.utils.set_element_type(primes, tf.int32)\n", + " autograph.set_element_type(primes, tf.int32)\n", " for i in range(2, n):\n", " is_prime = True\n", " for k in range(2, i):\n", @@ -663,45 +597,36 @@ " \n", "# Uncomment the line below to print the generated graph code\n", "# print(autograph.to_code(print_primes))" - ], - "execution_count": 0, - "outputs": [ - { - "output_type": "stream", - "text": [ - "The prime numbers less than 50 are:\n", - "[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47]\n" - ], - "name": "stdout" - } ] }, { + "cell_type": "markdown", "metadata": { - "id": "JQ8kQT99VqDk", - "colab_type": "text" + "colab_type": "text", + "id": "JQ8kQT99VqDk" }, - "cell_type": "markdown", "source": [ "# 3. Case study: training MNIST with Keras\n", "\n", - "As we've seen, writing control flow in Autograph is easy. So running a training loop in graph should be easy as well!\n", + "As we've seen, writing control flow in AutoGraph is easy. So running a training loop in graph should be easy as well!\n", "\n", "Here, we show an example of such a training loop for a simple Keras model that trains on MNIST." ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "0CrtGWgwuLJr", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "0CrtGWgwuLJr" }, - "cell_type": "code", + "outputs": [], "source": [ "import gzip\n", "import shutil\n", @@ -754,66 +679,67 @@ "\n", "def mnist_test(directory):\n", " return dataset(directory, 't10k-images-idx3-ubyte', 't10k-labels-idx1-ubyte')" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "2zu1U9Nqir6L", - "colab_type": "text" + "colab_type": "text", + "id": "2zu1U9Nqir6L" }, - "cell_type": "markdown", "source": [ "First, we'll define a small three-layer neural network using the Keras API" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "x_MU13boiok2", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "x_MU13boiok2" }, - "cell_type": "code", + "outputs": [], "source": [ "def mlp_model(input_shape):\n", - " model = tf.keras.Sequential([\n", + " model = tf.keras.Sequential((\n", " tf.keras.layers.Dense(100, activation='relu', input_shape=input_shape),\n", " tf.keras.layers.Dense(100, activation='relu'),\n", - " tf.keras.layers.Dense(10, activation='softmax')])\n", + " tf.keras.layers.Dense(10, activation='softmax'),\n", + " ))\n", " model.build()\n", " return model" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "Wuqg3H8mi0Xj", - "colab_type": "text" + "colab_type": "text", + "id": "Wuqg3H8mi0Xj" }, - "cell_type": "markdown", "source": [ "Let's connect the model definition (here abbreviated as `m`) to a loss function, so that we can train our model." ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "W51sfbONiz_5", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "W51sfbONiz_5" }, - "cell_type": "code", + "outputs": [], "source": [ "def predict(m, x, y):\n", " y_p = m(x)\n", @@ -822,63 +748,63 @@ " accuracies = tf.keras.metrics.categorical_accuracy(y, y_p)\n", " accuracy = tf.reduce_mean(accuracies)\n", " return l, accuracy" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "035tNWQki9tr", - "colab_type": "text" + "colab_type": "text", + "id": "035tNWQki9tr" }, - "cell_type": "markdown", "source": [ "Now the final piece of the problem specification (before loading data, and clicking everything together) is backpropagating the loss through the model, and optimizing the weights using the gradient." ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "CsAD0ajbi9iZ", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "CsAD0ajbi9iZ" }, - "cell_type": "code", + "outputs": [], "source": [ "def fit(m, x, y, opt):\n", " l, accuracy = predict(m, x, y)\n", " opt.minimize(l)\n", " return l, accuracy" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "PcVRIacKjSwb", - "colab_type": "text" + "colab_type": "text", + "id": "PcVRIacKjSwb" }, - "cell_type": "markdown", "source": [ "These are some utility functions to download data and generate batches for training" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "RVw57HdTjPzi", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "RVw57HdTjPzi" }, - "cell_type": "code", + "outputs": [], "source": [ "def setup_mnist_data(is_training, hp, batch_size):\n", " if is_training:\n", @@ -896,16 +822,14 @@ " x = tf.to_float(tf.reshape(image, (-1, 28 * 28)))\n", " y = tf.one_hot(tf.squeeze(label), 10)\n", " return x, y" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "2zEJH5XNjgFz", - "colab_type": "text" + "colab_type": "text", + "id": "2zEJH5XNjgFz" }, - "cell_type": "markdown", "source": [ "This function specifies the main training loop. We instantiate the model (using the code above), instantiate an optimizer (here we'll use SGD with momentum, nothing too fancy), and we'll instantiate some lists to keep track of training and test loss and accuracy over time.\n", "\n", @@ -913,33 +837,35 @@ ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "UUI0566FjZPx", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "UUI0566FjZPx" }, - "cell_type": "code", + "outputs": [], "source": [ "def train(train_ds, test_ds, hp):\n", " m = mlp_model((28 * 28,))\n", " opt = tf.train.MomentumOptimizer(hp.learning_rate, 0.9)\n", + "\n", " train_losses = []\n", - " train_losses = autograph.utils.set_element_type(train_losses, tf.float32)\n", + " autograph.set_element_type(train_losses, tf.float32)\n", " test_losses = []\n", - " test_losses = autograph.utils.set_element_type(test_losses, tf.float32)\n", + " autograph.set_element_type(test_losses, tf.float32)\n", " train_accuracies = []\n", - " train_accuracies = autograph.utils.set_element_type(train_accuracies,\n", - " tf.float32)\n", + " autograph.set_element_type(train_accuracies, tf.float32)\n", " test_accuracies = []\n", - " test_accuracies = autograph.utils.set_element_type(test_accuracies,\n", - " tf.float32)\n", - " i = tf.constant(0)\n", - " while i < hp.max_steps:\n", + " autograph.set_element_type(test_accuracies, tf.float32)\n", + "\n", + " i = 0\n", + " while i \u003c hp.max_steps:\n", " train_x, train_y = get_next_batch(train_ds)\n", " test_x, test_y = get_next_batch(test_ds)\n", " step_train_loss, step_train_accuracy = fit(m, train_x, train_y, opt)\n", @@ -956,173 +882,144 @@ " return (autograph.stack(train_losses), autograph.stack(test_losses),\n", " autograph.stack(train_accuracies),\n", " autograph.stack(test_accuracies))" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "cYiUQ1ppkHzk", - "colab_type": "text" + "colab_type": "text", + "id": "cYiUQ1ppkHzk" }, - "cell_type": "markdown", "source": [ "Everything is ready to go, let's train the model and plot its performance!" ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "K1m8TwOKjdNd", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {}, - {}, - {} - ], - "base_uri": "https://localhost:8080/", - "height": 988 + "height": 585 }, - "outputId": "f9d3eef3-5bea-45c1-ddf9-4edee73e4436", + "colab_type": "code", "executionInfo": { + "elapsed": 17094, "status": "ok", - "timestamp": 1522345800262, - "user_tz": 240, - "elapsed": 52391, + "timestamp": 1531750930585, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "K1m8TwOKjdNd", + "outputId": "9f63da19-c3bf-498b-cf00-29090bf3b4f0" }, - "cell_type": "code", - "source": [ - "with tf.Graph().as_default():\n", - " hp = tf.contrib.training.HParams(\n", - " learning_rate=0.05,\n", - " max_steps=500,\n", - " )\n", - " train_ds = setup_mnist_data(True, hp, 50)\n", - " test_ds = setup_mnist_data(False, hp, 1000)\n", - " tf_train = autograph.to_graph(train)\n", - " (train_losses, test_losses, train_accuracies,\n", - " test_accuracies) = tf_train(train_ds, test_ds, hp)\n", - "\n", - " with tf.Session() as sess:\n", - " sess.run(tf.global_variables_initializer())\n", - " (train_losses, test_losses, train_accuracies,\n", - " test_accuracies) = sess.run([train_losses, test_losses, train_accuracies,\n", - " test_accuracies])\n", - " plt.title('MNIST train/test losses')\n", - " plt.plot(train_losses, label='train loss')\n", - " plt.plot(test_losses, label='test loss')\n", - " plt.legend()\n", - " plt.xlabel('Training step')\n", - " plt.ylabel('Loss')\n", - " plt.show()\n", - " plt.title('MNIST train/test accuracies')\n", - " plt.plot(train_accuracies, label='train accuracy')\n", - " plt.plot(test_accuracies, label='test accuracy')\n", - " plt.legend(loc='lower right')\n", - " plt.xlabel('Training step')\n", - " plt.ylabel('Accuracy')\n", - " plt.show()" - ], - "execution_count": 0, "outputs": [ { - "output_type": "stream", - "text": [ - "Downloading https://storage.googleapis.com/cvdf-datasets/mnist/train-images-idx3-ubyte.gz to /tmp/autograph_mnist_data/train-images-idx3-ubyte.gz\n", - "Downloading https://storage.googleapis.com/cvdf-datasets/mnist/train-labels-idx1-ubyte.gz to /tmp/autograph_mnist_data/train-labels-idx1-ubyte.gz\n", - "Downloading https://storage.googleapis.com/cvdf-datasets/mnist/t10k-images-idx3-ubyte.gz to /tmp/autograph_mnist_data/t10k-images-idx3-ubyte.gz\n", - "Downloading https://storage.googleapis.com/cvdf-datasets/mnist/t10k-labels-idx1-ubyte.gz to /tmp/autograph_mnist_data/t10k-labels-idx1-ubyte.gz\n", - "Step 0 train loss: 2.244329 test loss: 2.2499208 train accuracy: 0.12 test accuracy: 0.161\n", - "Step 50 train loss: 0.64771986 test loss: 0.56013924 train accuracy: 0.82 test accuracy: 0.836\n", - "Step 100 train loss: 0.49011207 test loss: 0.42143965 train accuracy: 0.84 test accuracy: 0.879\n", - "Step 150 train loss: 0.3768609 test loss: 0.39319593 train accuracy: 0.88 test accuracy: 0.883\n", - "Step 200 train loss: 0.36007702 test loss: 0.37089333 train accuracy: 0.9 test accuracy: 0.881\n", - "Step 250 train loss: 0.182115 test loss: 0.28543878 train accuracy: 0.94 test accuracy: 0.915\n", - "Step 300 train loss: 0.2119576 test loss: 0.22305593 train accuracy: 0.92 test accuracy: 0.93\n", - "Step 350 train loss: 0.12932214 test loss: 0.29057172 train accuracy: 0.96 test accuracy: 0.906\n", - "Step 400 train loss: 0.22937602 test loss: 0.2200287 train accuracy: 0.92 test accuracy: 0.925\n", - "Step 450 train loss: 0.23444137 test loss: 0.19857481 train accuracy: 0.94 test accuracy: 0.94\n" - ], - "name": "stdout" - }, - { - "output_type": "display_data", "data": { - "image/png": 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PDu/a0FgAQAysvImIhrM1a1ajvb0Nixe/DABIJMzu0pNP/jquvvq/cNpps3D66bN63E+u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fICcIgjiRSalgTJ48GbNnz467ffny5Th8+DAWL16MJ598Eo899lhSry9wIjhB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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f72fab5e290>" + "\u003cmatplotlib.figure.Figure at 0x7f97f1e98d90\u003e" ] }, "metadata": { "tags": [] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { - "image/png": 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cyF8Xe3P+RCkpJprmulWcyzb4wlqmXE3ewTEKEpebgSpE3gEBSDMsUDXkQKT2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\nH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mjPakO1MT/AmSac1pSwy5kTc/enoRna3WjNtLCm2JLnYeyq7D6V86gW4YPPDi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"text/plain": [ - "<matplotlib.figure.Figure at 0x7f72f867ef90>" + "\u003cmatplotlib.figure.Figure at 0x7f97f1330850\u003e" ] }, "metadata": { "tags": [] - } + }, + "output_type": "display_data" } + ], + "source": [ + "def plot(train, test, label):\n", + " plt.title('MNIST model %s' % label)\n", + " plt.plot(train, label='train %s' % label)\n", + " plt.plot(test, label='test %s' % label)\n", + " plt.legend()\n", + " plt.xlabel('Training step')\n", + " plt.ylabel(label.capitalize())\n", + " plt.show()\n", + " \n", + "\n", + "with tf.Graph().as_default():\n", + " hp = tf.contrib.training.HParams(\n", + " learning_rate=0.05,\n", + " max_steps=tf.constant(500),\n", + " )\n", + " train_ds = setup_mnist_data(True, hp, 50)\n", + " test_ds = setup_mnist_data(False, hp, 1000)\n", + " tf_train = autograph.to_graph(train)\n", + " all_losses = tf_train(train_ds, test_ds, hp)\n", + "\n", + " with tf.Session() as sess:\n", + " sess.run(tf.global_variables_initializer())\n", + " (train_losses, test_losses, train_accuracies,\n", + " test_accuracies) = sess.run(all_losses)\n", + " \n", + " plot(train_losses, test_losses, 'loss')\n", + " plot(train_accuracies, test_accuracies, 'accuracy')" ] }, { + "cell_type": "markdown", "metadata": { - "id": "HNqUFL4deCsL", - "colab_type": "text" + "colab_type": "text", + "id": "HNqUFL4deCsL" }, - "cell_type": "markdown", "source": [ "# 4. Case study: building an RNN\n" ] }, { + "cell_type": "markdown", "metadata": { - "id": "YkC1k4HEQ7rw", - "colab_type": "text" + "colab_type": "text", + "id": "YkC1k4HEQ7rw" }, - "cell_type": "markdown", "source": [ "In this exercise we build and train a model similar to the RNNColorbot model that was used in the main Eager notebook. The model is adapted for converting and training in graph mode." ] }, { + "cell_type": "markdown", "metadata": { - "id": "7nkPDl5CTCNb", - "colab_type": "text" + "colab_type": "text", + "id": "7nkPDl5CTCNb" }, - "cell_type": "markdown", "source": [ "To get started, we load the colorbot dataset. The code is identical to that used in the other exercise and its details are unimportant." ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "A0uREmVXCQEw", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "A0uREmVXCQEw" }, - "cell_type": "code", + "outputs": [], "source": [ "def parse(line):\n", " \"\"\"Parses a line from the colors dataset.\n", @@ -1137,7 +1034,7 @@ " A tuple of three tensors (rgb, chars, length), of shapes: (batch_size, 3),\n", " (batch_size, max_sequence_length, 256) and respectively (batch_size).\n", " \"\"\"\n", - " items = tf.string_split([line], \",\").values\n", + " items = tf.string_split(tf.expand_dims(line, 0), \",\").values\n", " rgb = tf.string_to_number(items[1:], out_type=tf.float32) / 255.0\n", " color_name = items[0]\n", " chars = tf.one_hot(tf.decode_raw(color_name, tf.uint8), depth=256)\n", @@ -1169,23 +1066,21 @@ " dataset = dataset.repeat()\n", " if training:\n", " dataset = dataset.shuffle(buffer_size=3000)\n", - " dataset = dataset.padded_batch(batch_size, padded_shapes=([None], [None, None], []))\n", + " dataset = dataset.padded_batch(batch_size, padded_shapes=((None,), (None, None), ()))\n", " return dataset\n", "\n", "\n", - "train_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/extras/colorbot/data/train.csv\"\n", - "test_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/extras/colorbot/data/test.csv\"\n", + "train_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/archive/extras/colorbot/data/train.csv\"\n", + "test_url = \"https://raw.githubusercontent.com/random-forests/tensorflow-workshop/master/archive/extras/colorbot/data/test.csv\"\n", "data_dir = \"tmp/rnn/data\"" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "waZ89t3DTUla", - "colab_type": "text" + "colab_type": "text", + "id": "waZ89t3DTUla" }, - "cell_type": "markdown", "source": [ "Next, we set up the RNNColobot model, which is very similar to the one we used in the main exercise.\n", "\n", @@ -1193,17 +1088,19 @@ ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "9v8AJouiC44V", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "9v8AJouiC44V" }, - "cell_type": "code", + "outputs": [], "source": [ "def model_components():\n", " lower_cell = tf.contrib.rnn.LSTMBlockCell(256)\n", @@ -1227,12 +1124,13 @@ " Returns:\n", " A Tensor of shape (max_sequence_length, batch_size, output_size).\n", " \"\"\"\n", - " hidden_outputs = []\n", - " autograph.utils.set_element_type(hidden_outputs, tf.float32)\n", + " hidden_outputs = tf.TensorArray(tf.float32, size=0, dynamic_size=True)\n", " state, output = cell.zero_state(batch_size, tf.float32)\n", + " initial_state_shape = state.shape\n", + " initial_output_shape = output.shape\n", " n = tf.shape(chars)[0]\n", " i = 0\n", - " while i < n:\n", + " while i \u003c n:\n", " ch = chars[i]\n", " cell_output, (state, output) = cell.call(ch, (state, output))\n", " hidden_outputs.append(cell_output)\n", @@ -1261,50 +1159,51 @@ " A Tensor of shape (batch_size, 3) - the model predictions.\n", " \"\"\"\n", " (chars, length) = inputs\n", - " chars_time_major = tf.transpose(chars, [1, 0, 2])\n", + " chars_time_major = tf.transpose(chars, (1, 0, 2))\n", " chars_time_major.set_shape((None, batch_size, 256))\n", "\n", " hidden_outputs = rnn_layer(chars_time_major, lower_cell, batch_size, training)\n", " final_outputs = rnn_layer(hidden_outputs, upper_cell, batch_size, training)\n", "\n", " # Grab just the end-of-sequence from each output.\n", - " indices = tf.stack([length - 1, range(batch_size)], axis=1)\n", + " indices = tf.stack((length - 1, range(batch_size)), axis=1)\n", " sequence_ends = tf.gather_nd(final_outputs, indices)\n", + " sequence_ends.set_shape((batch_size, 128))\n", " return relu_layer(sequence_ends)\n", "\n", "def loss_fn(labels, predictions):\n", " return tf.reduce_mean((predictions - labels) ** 2)" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "JjK4gXFvFsf4", - "colab_type": "text" + "colab_type": "text", + "id": "JjK4gXFvFsf4" }, - "cell_type": "markdown", "source": [ "The train and test functions are also similar to the ones used in the Eager notebook. Since the network requires a fixed batch size, we'll train in a single shot, rather than by epoch." ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "ZWQMExk0S6X6", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "ZWQMExk0S6X6" }, - "cell_type": "code", + "outputs": [], "source": [ "def train(optimizer, train_data, lower_cell, upper_cell, relu_layer, batch_size, num_steps):\n", " iterator = train_data.make_one_shot_iterator()\n", " step = 0\n", - " while step < num_steps:\n", + " while step \u003c num_steps:\n", " labels, chars, sequence_length = iterator.get_next()\n", " predictions = model((chars, sequence_length), lower_cell, upper_cell, relu_layer, batch_size, training=True)\n", " loss = loss_fn(labels, predictions)\n", @@ -1319,7 +1218,7 @@ " total_loss = 0.0\n", " iterator = eval_data.make_one_shot_iterator()\n", " step = 0\n", - " while step < num_steps:\n", + " while step \u003c num_steps:\n", " labels, chars, sequence_length = iterator.get_next()\n", " predictions = model((chars, sequence_length), lower_cell, upper_cell, relu_layer, batch_size, training=False)\n", " total_loss += loss_fn(labels, predictions)\n", @@ -1340,16 +1239,14 @@ " # Here, we create a no_op that will drive the execution of all other code in\n", " # this function. Autograph will add the necessary control dependencies.\n", " return tf.no_op()" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "iopcs5hXG2od", - "colab_type": "text" + "colab_type": "text", + "id": "iopcs5hXG2od" }, - "cell_type": "markdown", "source": [ "Finally, we add code to run inference on a single input, which we'll read from the input.\n", "\n", @@ -1357,17 +1254,19 @@ ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "DyU0wnnAFEYj", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 } - } + }, + "colab_type": "code", + "id": "DyU0wnnAFEYj" }, - "cell_type": "code", + "outputs": [], "source": [ "@autograph.do_not_convert(run_as=autograph.RunMode.PY_FUNC)\n", "def draw_prediction(color_name, pred):\n", @@ -1389,16 +1288,14 @@ " draw_prediction(color_name, pred)\n", " # Create an op that will drive the entire function.\n", " return tf.no_op()" - ], - "execution_count": 0, - "outputs": [] + ] }, { + "cell_type": "markdown", "metadata": { - "id": "Nt0Kv5OCHip0", - "colab_type": "text" + "colab_type": "text", + "id": "Nt0Kv5OCHip0" }, - "cell_type": "markdown", "source": [ "Finally, we put everything together.\n", "\n", @@ -1406,218 +1303,132 @@ ] }, { + "cell_type": "code", + "execution_count": 0, "metadata": { - "id": "-GmWa0GtYWdh", - "colab_type": "code", "colab": { "autoexec": { "startup": false, "wait_interval": 0 }, - "output_extras": [ - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {}, - {} - ], - "base_uri": "https://localhost:8080/", - "height": 668 + "height": 415 }, - "outputId": "61f4af1d-c81e-44db-9079-1a7b8ed8ce58", + "colab_type": "code", "executionInfo": { + "elapsed": 15536, "status": "ok", - "timestamp": 1522345877153, - "user_tz": 240, - "elapsed": 75500, + "timestamp": 1531750946373, "user": { - "displayName": "Dan Moldovan", - "photoUrl": "//lh5.googleusercontent.com/-Rneh8xjecyk/AAAAAAAAAAI/AAAAAAAACB4/c5vwsJpbktY/s50-c-k-no/photo.jpg", - "userId": "112023154726779574577" - } - } + "displayName": "", + "photoUrl": "", + "userId": "" + }, + "user_tz": 240 + }, + "id": "-GmWa0GtYWdh", + "outputId": "2e7a9856-9809-43a3-8b43-3c8514ea43e9" }, - "cell_type": "code", - "source": [ - "def run_input_loop(sess, inference_ops, color_name_placeholder):\n", - " \"\"\"Helper function that reads from input and calls the inference ops in a loop.\"\"\"\n", - "\n", - " tb = widgets.TabBar([\"RNN Colorbot\"])\n", - " while True:\n", - " with tb.output_to(0):\n", - " try:\n", - " color_name = six.moves.input(\"Give me a color name (or press 'enter' to exit): \")\n", - " except (EOFError, KeyboardInterrupt):\n", - " break\n", - " if not color_name:\n", - " break\n", - " with tb.output_to(0):\n", - " tb.clear_tab()\n", - " sess.run(inference_ops, {color_name_placeholder: color_name})\n", - " plt.show()\n", - "\n", - "with tf.Graph().as_default():\n", - " # Read the data.\n", - " batch_size = 64\n", - " train_data = load_dataset(data_dir, train_url, batch_size)\n", - " eval_data = load_dataset(data_dir, test_url, 50, training=False)\n", - " \n", - " # Create the model components.\n", - " lower_cell, upper_cell, relu_layer = model_components()\n", - " # Create the helper placeholder for inference.\n", - " color_name_placeholder = tf.placeholder(tf.string, shape=())\n", - " \n", - " # Compile the train / test code.\n", - " tf_train_model = autograph.to_graph(train_model)\n", - " train_model_ops = tf_train_model(\n", - " train_data, eval_data, batch_size, lower_cell, upper_cell, relu_layer, train_steps=100)\n", - " \n", - " # Compile the inference code.\n", - " tf_inference = autograph.to_graph(inference)\n", - " inference_ops = tf_inference(color_name_placeholder, lower_cell, upper_cell, relu_layer)\n", - " \n", - " with tf.Session() as sess:\n", - " sess.run(tf.global_variables_initializer())\n", - " \n", - " # Run training and testing.\n", - " sess.run(train_model_ops)\n", - " \n", - " # Run the inference loop.\n", - " run_input_loop(sess, inference_ops, color_name_placeholder)" - ], - "execution_count": 0, "outputs": [ { + "name": "stdout", "output_type": "stream", "text": [ - "('Successfully downloaded', 'train.csv', 28010L, 'bytes.')\n", - "('Successfully downloaded', 'test.csv', 2414L, 'bytes.')\n", - "Step 0 train loss 0.37890616\n", - "Step 10 train loss 0.18515904\n", - "Step 20 train loss 0.0892782\n", - "Step 30 train loss 0.07883155\n", - "Step 40 train loss 0.08585831\n", - "Step 50 train loss 0.09302989\n", - "Step 60 train loss 0.089012615\n", - "Step 70 train loss 0.07275697\n", - "Step 80 train loss 0.06644974\n", - "Step 90 train loss 0.0854013\n", - "Test loss 0.13216865Colorbot is ready to generate colors!\n", - "\n", + "Test loss 0.138294\n", + "Colorbot is ready to generate colors!\n", "\n", "\n" - ], - "name": "stdout" + ] }, { - "output_type": "display_data", 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sourceURL=js_44805e254b" + "window[\"a6045496-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.getActiveOutputArea();\n", + "//# sourceURL=js_5531553c2f" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2ab6d0\u003e" ] }, "metadata": { @@ -1625,17 +1436,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"b106197a-3379-11e8-ac70-0242ac110002\"] = document.querySelector(\"#id1_content_0\");\n", - "//# sourceURL=js_a63d3c6c47" + "window[\"a6045497-8903-11e8-99f9-c8d3ffb5fbe0\"] = document.querySelector(\"#id1_content_0\");\n", + "//# sourceURL=js_d1f809ec17" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2ab990\u003e" ] }, "metadata": { @@ -1643,17 +1454,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"b1069f44-3379-11e8-ac70-0242ac110002\"] = google.colab.output.setActiveOutputArea(window[\"b106197a-3379-11e8-ac70-0242ac110002\"]);\n", - "//# sourceURL=js_7e203b8bce" + "window[\"a6045498-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a6045497-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n", + "//# sourceURL=js_3a3123cadb" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2aba50\u003e" ] }, "metadata": { @@ -1661,17 +1472,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"b1070f38-3379-11e8-ac70-0242ac110002\"] = window[\"id1\"].setSelectedTabIndex(0);\n", - "//# sourceURL=js_d53293d4a7" + "window[\"a6045499-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"id1\"].setSelectedTabIndex(0);\n", + "//# sourceURL=js_1a0e1f7d6f" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2ab890\u003e" ] }, "metadata": { @@ -1679,17 +1490,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c6d90d5c-3379-11e8-ac70-0242ac110002\"] = google.colab.output.setActiveOutputArea(window[\"b105b28c-3379-11e8-ac70-0242ac110002\"]);\n", - "//# sourceURL=js_3000dc2c05" + "window[\"a8e54762-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a6045496-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n", + "//# sourceURL=js_6213539615" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2abad0\u003e" ] }, "metadata": { @@ -1697,17 +1508,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c6da872c-3379-11e8-ac70-0242ac110002\"] = google.colab.output.getActiveOutputArea();\n", - "//# sourceURL=js_4136f669a3" + "window[\"a8e54763-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.getActiveOutputArea();\n", + "//# sourceURL=js_0bd7f95c6e" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2ab950\u003e" ] }, "metadata": { @@ -1715,17 +1526,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c6dac868-3379-11e8-ac70-0242ac110002\"] = document.querySelector(\"#id1_content_0\");\n", - "//# sourceURL=js_2f70dd9aee" + "window[\"a8e54764-8903-11e8-99f9-c8d3ffb5fbe0\"] = document.querySelector(\"#id1_content_0\");\n", + "//# sourceURL=js_215f004f6b" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2abb10\u003e" ] }, "metadata": { @@ -1733,17 +1544,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c6db07d8-3379-11e8-ac70-0242ac110002\"] = google.colab.output.setActiveOutputArea(window[\"c6dac868-3379-11e8-ac70-0242ac110002\"]);\n", - "//# sourceURL=js_7226726048" + "window[\"a8e54765-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54764-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n", + "//# sourceURL=js_a06186c8ad" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ee2aba90\u003e" ] }, "metadata": { @@ -1751,17 +1562,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - 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0x7f97ea9ef710\u003e" ] }, "metadata": { @@ -1839,17 +1650,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c7092726-3379-11e8-ac70-0242ac110002\"] = google.colab.output.setActiveOutputArea(window[\"c708dec4-3379-11e8-ac70-0242ac110002\"]);\n", - "//# sourceURL=js_7aa23d7385" + "window[\"a8e5476a-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54769-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n", + "//# sourceURL=js_3d87cf7d0f" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ea9efa90\u003e" ] }, "metadata": { @@ -1857,17 +1668,17 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c7099044-3379-11e8-ac70-0242ac110002\"] = window[\"id1\"].setSelectedTabIndex(0);\n", - "//# sourceURL=js_5722756ddb" + "window[\"a8e5476b-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"id1\"].setSelectedTabIndex(0);\n", + "//# sourceURL=js_5e91101199" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ea9efa50\u003e" ] }, "metadata": { @@ -1875,24 +1686,149 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" }, { - "output_type": "stream", - "text": [ - "Give me a color name (or press 'enter' to exit): \n" - ], - "name": "stdout" + "data": { + "text/html": [ + "\u003cdiv class=id_45185901 style=\"margin-right:10px; display:flex;align-items:center;\"\u003e\u003cspan style=\"margin-right: 3px;\"\u003e\u003c/span\u003e\u003c/div\u003e" + ], + "text/plain": [ + "\u003cIPython.core.display.HTML at 0x7f97ee42bd90\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a8e5476c-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 span\");\n", + "//# sourceURL=js_f43052a94e" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef750\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a8e5476d-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a8e5476c-8903-11e8-99f9-c8d3ffb5fbe0\"].text(\"Give me a color name (or press 'enter' to exit): \");\n", + "//# sourceURL=js_bfc0fb76ce" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9efb10\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a9e9b8b0-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 input\");\n", + "//# sourceURL=js_7f167283fa" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef610\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a9e9b8b1-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a9e9b8b0-8903-11e8-99f9-c8d3ffb5fbe0\"].remove();\n", + "//# sourceURL=js_016ae4bf21" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef250\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" }, { - "output_type": "display_data", "data": { "application/javascript": [ - "window[\"c7baac12-3379-11e8-ac70-0242ac110002\"] = google.colab.output.setActiveOutputArea(window[\"c70842c0-3379-11e8-ac70-0242ac110002\"]);\n", - "//# sourceURL=js_cdd622e58f" + "window[\"a9e9b8b2-8903-11e8-99f9-c8d3ffb5fbe0\"] = jQuery(\".id_45185901 span\");\n", + "//# sourceURL=js_e666f179bc" ], "text/plain": [ - "<IPython.core.display.Javascript object>" + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef550\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a9e9b8b3-8903-11e8-99f9-c8d3ffb5fbe0\"] = window[\"a9e9b8b2-8903-11e8-99f9-c8d3ffb5fbe0\"].text(\"Give me a color name (or press 'enter' to exit): \");\n", + "//# sourceURL=js_cbb9d14aec" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef1d0\u003e" + ] + }, + "metadata": { + "tags": [ + "id1_content_0", + "outputarea_id1", + "user_output" + ] + }, + "output_type": "display_data" + }, + { + "data": { + "application/javascript": [ + "window[\"a9e9b8b4-8903-11e8-99f9-c8d3ffb5fbe0\"] = google.colab.output.setActiveOutputArea(window[\"a8e54768-8903-11e8-99f9-c8d3ffb5fbe0\"]);\n", + "//# sourceURL=js_2967a79665" + ], + "text/plain": [ + "\u003cIPython.core.display.Javascript at 0x7f97ea9ef1d0\u003e" ] }, "metadata": { @@ -1900,21 +1836,98 @@ "id1_content_0", "outputarea_id1" ] - } + }, + "output_type": "display_data" } + ], + "source": [ + "def run_input_loop(sess, inference_ops, color_name_placeholder):\n", + " \"\"\"Helper function that reads from input and calls the inference ops in a loop.\"\"\"\n", + "\n", + " tb = widgets.TabBar([\"RNN Colorbot\"])\n", + " while True:\n", + " with tb.output_to(0):\n", + " try:\n", + " color_name = six.moves.input(\"Give me a color name (or press 'enter' to exit): \")\n", + " except (EOFError, KeyboardInterrupt):\n", + " break\n", + " if not color_name:\n", + " break\n", + " with tb.output_to(0):\n", + " tb.clear_tab()\n", + " sess.run(inference_ops, {color_name_placeholder: color_name})\n", + " plt.show()\n", + "\n", + "with tf.Graph().as_default():\n", + " # Read the data.\n", + " batch_size = 64\n", + " train_data = load_dataset(data_dir, train_url, batch_size)\n", + " eval_data = load_dataset(data_dir, test_url, 50, training=False)\n", + " \n", + " # Create the model components.\n", + " lower_cell, upper_cell, relu_layer = model_components()\n", + " # Create the helper placeholder for inference.\n", + " color_name_placeholder = tf.placeholder(tf.string, shape=())\n", + " \n", + " # Compile the train / test code.\n", + " tf_train_model = autograph.to_graph(train_model)\n", + " train_model_ops = tf_train_model(\n", + " train_data, eval_data, batch_size, lower_cell, upper_cell, relu_layer, train_steps=100)\n", + " \n", + " # Compile the inference code.\n", + " tf_inference = autograph.to_graph(inference)\n", + " inference_ops = tf_inference(color_name_placeholder, lower_cell, upper_cell, relu_layer)\n", + " \n", + " with tf.Session() as sess:\n", + " sess.run(tf.global_variables_initializer())\n", + " \n", + " # Run training and testing.\n", + " sess.run(train_model_ops)\n", + " \n", + " # Run the inference loop.\n", + " run_input_loop(sess, inference_ops, color_name_placeholder)" ] }, { + "cell_type": "markdown", "metadata": { - "id": "AHJ2c47U-A5W", - "colab_type": "text" + "colab_type": "text", + "id": "AHJ2c47U-A5W" }, - "cell_type": "markdown", "source": [ "# Where do we go next?\n", "\n", - "Autograph is available in tensorflow.contrib, but it's still in its early stages. We're excited about the possibilities it brings — write your machine learning code in the flexible Eager style, but still enjoy all the benefits that come with running in graph mode. A beta version will be available soon -- stay tuned!" + "AutoGraph is still in its early stages, but is available in [tensorflow.contrib](https://github.com/tensorflow/tensorflow/tree/master/tensorflow/contrib/autograph). We're excited about the possibilities it brings. New versions will be available soon — stay tuned!" ] } - ] + ], + "metadata": { + "colab": { + "collapsed_sections": [], + "default_view": {}, + "name": "Dev Summit 2018 - Autograph", + "provenance": [ + { + "file_id": "1wCZUh73zTNs1jzzYjqoxMIdaBWCdKJ2K", + "timestamp": 1522238054357 + }, + { + "file_id": "1_HpC-RrmIv4lNaqeoslUeWaX8zH5IXaJ", + "timestamp": 1521743157199 + }, + { + "file_id": "1mjO2fQ2F9hxpAzw2mnrrUkcgfb7xSGW-", + "timestamp": 1520522344607 + } + ], + "version": "0.3.2", + "views": {} + }, + "kernelspec": { + "display_name": "Python 2", + "name": "python2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 } |