eager: Update introduction notebooks.

PiperOrigin-RevId: 198022387

diff --git a/tensorflow/contrib/eager/python/examples/notebooks/1_basics.ipynb b/tensorflow/contrib/eager/python/examples/notebooks/1_basics.ipynb
index 9fd2d8d..51d10a7 100644 (file)
--- a/tensorflow/contrib/eager/python/examples/notebooks/1_basics.ipynb
+++ b/tensorflow/contrib/eager/python/examples/notebooks/1_basics.ipynb
@@ -1,495 +1,429 @@
 {
-  "nbformat": 4,
-  "nbformat_minor": 0,
-  "metadata": {
-    "colab": {
-      "name": "Eager Execution Tutorial: Basics",
-      "version": "0.3.2",
-      "views": {},
-      "default_view": {},
-      "provenance": [
-        {
-          "file_id": "0B0kLcpwLFwKEVm9XNkFueGk4bTg",
-          "timestamp": 1504118841551
-        }
-      ]
-    }
-  },
   "cells": [
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "U9i2Dsh-ziXr",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "U9i2Dsh-ziXr"
       },
-      "cell_type": "markdown",
       "source": [
-        "# Eager Execution Tutorial: Basics\n",
+        "# An introduction to TensorFlow\n",
         "\n",
-        "This notebook introduces the basics of using TensorFlow's eager execution capabilities. It covers concepts such as:\n",
+        "This is an introductory tutorial for using TensorFlow. It will cover:\n",
         "\n",
         "* Importing required packages\n",
-        "* Enabling eager execution\n",
-        "* Creating and using TensorFlow Tensors and Variables\n",
-        "* Using TensorFlow interactively\n",
-        "* Using GPUs with eager execution enabled\n",
-        "\n",
-        "This notebook does *not* cover modeling topics, such as gradients."
+        "* Creating and using Tensors\n",
+        "* Using GPU acceleration\n"
       ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "z1JcS5iBXMRO",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "z1JcS5iBXMRO"
       },
-      "cell_type": "markdown",
       "source": [
-        "# Step 1: Import Eager\n",
+        "## Import TensorFlow\n",
         "\n",
-        "The key imports for eager execution are the following:"
+        "To get started, import the `tensorflow` module and enable eager execution.\n",
+        "Eager execution enables a more interactive frontend to TensorFlow, the details of which we will discuss much later."
       ]
     },
     {
+      "cell_type": "code",
+      "execution_count": 0,
       "metadata": {
-        "id": "RlIWhyeLoYnG",
-        "colab_type": "code",
+        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
           }
         },
-        "cellView": "code"
+        "colab_type": "code",
+        "id": "RlIWhyeLoYnG"
       },
-      "cell_type": "code",
+      "outputs": [],
       "source": [
-        "# Import TensorFlow.\n",
         "import tensorflow as tf\n",
         "\n",
-        "# Import TensorFlow eager execution support (subject to future changes).\n",
-        "tfe = tf.contrib.eager"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "tf.enable_eager_execution()"
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "H9UySOPLXdaw",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "H9UySOPLXdaw"
       },
-      "cell_type": "markdown",
       "source": [
-        "# Step 2: Enable eager execution\n",
+        "## Tensors\n",
         "\n",
-        "All future TensorFlow calls will execute the\n",
-        "underlying TensorFlow ops immediately:"
+        "A Tensor is a multi-dimensional array. Similar to NumPy `ndarray` objects, `Tensor` objects have a data type and a shape. Additionally, Tensors can reside in accelerator (like GPU) memory. TensorFlow offers a rich library of operations ([tf.add](https://www.tensorflow.org/api_docs/python/tf/add), [tf.matmul](https://www.tensorflow.org/api_docs/python/tf/matmul), [tf.linalg.inv](https://www.tensorflow.org/api_docs/python/tf/linalg/inv) etc.) that consume and produce Tensors. These operations automatically convert native Python types. For example:\n"
       ]
     },
     {
-      "metadata": {
-        "id": "WPTUfGq6kJ5w",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        },
-        "cellView": "code"
-      },
       "cell_type": "code",
-      "source": [
-        "tf.enable_eager_execution()"
-      ],
       "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "metadata": {
-        "id": "twBfWd5xyu_d",
-        "colab_type": "text"
-      },
-      "cell_type": "markdown",
-      "source": [
-        "# Step 3: Interactively Use TensorFlow!\n",
-        "\n",
-        "Now you can call TensorFlow functions and get results, immediately! No more `tf.Sessions`!\n",
-        "\n",
-        "TensorFlow will automatically wrap native Python types for you with operator overloading for TensorFlow Tensors."
-      ]
-    },
-    {
       "metadata": {
-        "id": "ngUe237Wt48W",
-        "colab_type": "code",
+        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
-          }
+          },
+          "height": 125
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 320,
+          "status": "ok",
+          "timestamp": 1526420535530,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
         },
-        "cellView": "code"
+        "id": "ngUe237Wt48W",
+        "outputId": "b1a1cd60-4eb3-443d-cd6b-68406390784e"
       },
-      "cell_type": "code",
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "tf.Tensor(3, shape=(), dtype=int32)\n",
+            "tf.Tensor([4 6], shape=(2,), dtype=int32)\n",
+            "tf.Tensor(25, shape=(), dtype=int32)\n",
+            "tf.Tensor(6, shape=(), dtype=int32)\n",
+            "tf.Tensor(aGVsbG8gd29ybGQ, shape=(), dtype=string)\n",
+            "tf.Tensor(13, shape=(), dtype=int32)\n"
+          ]
+        }
+      ],
       "source": [
         "print(tf.add(1, 2))\n",
         "print(tf.add([1, 2], [3, 4]))\n",
         "print(tf.square(5))\n",
         "print(tf.reduce_sum([1, 2, 3]))\n",
         "print(tf.encode_base64(\"hello world\"))\n",
-        "print(\"\")\n",
         "\n",
-        "x = tf.constant(2)\n",
-        "y = tf.constant(3)\n",
-        "print(x * y + 1)\n",
-        "\n",
-        "# Most TensorFlow ops are directly usable with eager execution, giving\n",
-        "# results immediately.\n",
-        "print(tf.contrib.signal.hamming_window(x * y + 1))"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "# Operator overloading is also supported\n",
+        "print(tf.square(2) + tf.square(3))"
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "IDY4WsYRhP81",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "IDY4WsYRhP81"
       },
-      "cell_type": "markdown",
       "source": [
-        "Numpy arrays are supported, too:"
+        "Each Tensor has a shape and a datatype"
       ]
     },
     {
-      "metadata": {
-        "id": "lCUWzso6mbqR",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        }
-      },
       "cell_type": "code",
-      "source": [
-        "import numpy as np\n",
-        "\n",
-        "ones = np.ones([3, 3])\n",
-        "\n",
-        "print(\"numpy 3x3 matrix of 1s:\")\n",
-        "print(ones)\n",
-        "print(\"\")\n",
-        "\n",
-        "print(\"Multiplied by 42:\")\n",
-        "print(tf.multiply(ones, 42))"
-      ],
       "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "metadata": {
-        "id": "PBNP8yTRfu_X",
-        "colab_type": "text"
-      },
-      "cell_type": "markdown",
-      "source": [
-        "# Step 4: Define and Print TensorFlow Variables\n",
-        "\n",
-        "To define TensorFlow variables, use the `get_variable()` function as follows:"
-      ]
-    },
-    {
       "metadata": {
-        "id": "3Twf_Rw-gQFM",
-        "colab_type": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
-          }
+          },
+          "height": 53
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 215,
+          "status": "ok",
+          "timestamp": 1526420538162,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
         },
-        "cellView": "code"
+        "id": "srYWH1MdJNG7",
+        "outputId": "5e4ac41c-5115-4e50-eba0-42e249c16561"
       },
-      "cell_type": "code",
-      "source": [
-        "x = tfe.Variable(0.)"
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "(1, 2)\n",
+            "\u003cdtype: 'int32'\u003e\n"
+          ]
+        }
       ],
-      "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "metadata": {
-        "id": "45G7094TxsMb",
-        "colab_type": "text"
-      },
-      "cell_type": "markdown",
       "source": [
-        "## Printing TensorFlow Variables"
+        "x = tf.matmul([[1]], [[2, 3]])\n",
+        "print(x.shape)\n",
+        "print(x.dtype)"
       ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "UJBJeZ5XxuwA",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        },
-        "cellView": "code"
+        "colab_type": "text",
+        "id": "eBPw8e8vrsom"
       },
-      "cell_type": "code",
       "source": [
-        "# This does NOT print the Variable's actual value:\n",
-        "print(\"Printing a TensorFlow Variable:\")\n",
-        "print(x)\n",
-        "print(\"\")\n",
+        "The most obvious differences between NumPy arrays and TensorFlow Tensors are:\n",
         "\n",
-        "\n",
-        "print(\"Printing a TensorFlow Variable's value as a numpy array:\")\n",
-        "print(x.numpy())"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "1. Tensors can be backed by accelerator memory (like GPU, TPU).\n",
+        "2. Tensors are immutable."
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "2njjWHcTpBEn",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "Dwi1tdW3JBw6"
       },
-      "cell_type": "markdown",
       "source": [
-        "## Changing a TensorFlow Variable's value\n",
+        "### NumPy Compatibility\n",
         "\n",
-        "To change a TensorFlow Variable's value, use its `.assign()` or `.assign_add()` method:"
+        "Conversion between TensorFlow Tensors and NumPy ndarrays is quite simple as:\n",
+        "* TensorFlow operations automatically convert NumPy ndarrays to Tensors.\n",
+        "* NumPy operations automatically convert Tensors to NumPy ndarrays.\n",
+        "\n",
+        "Tensors can be explicitly converted to NumPy ndarrays by invoking the `.numpy()` method on them.\n",
+        "These conversions are typically cheap as the array and Tensor share the underlying memory representation if possible. However, sharing the underlying representation isn't always possible since the Tensor may be hosted in GPU memory while NumPy arrays are always backed by host memory, and the conversion will thus involve a copy from GPU to host memory."
       ]
     },
     {
-      "metadata": {
-        "id": "v3wr6Erbo_hB",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        }
-      },
       "cell_type": "code",
-      "source": [
-        "x.assign(42)\n",
-        "print(x)\n",
-        "\n",
-        "x.assign_add(3)\n",
-        "print(x)"
-      ],
       "execution_count": 0,
-      "outputs": []
-    },
-    {
       "metadata": {
-        "id": "uhtynjHVpTB5",
-        "colab_type": "text"
-      },
-      "cell_type": "markdown",
-      "source": [
-        "## Use a Variable just like any other Tensor"
-      ]
-    },
-    {
-      "metadata": {
-        "id": "7PbktdnHoehR",
-        "colab_type": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
-          }
-        }
+          },
+          "height": 251
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 238,
+          "status": "ok",
+          "timestamp": 1526420540562,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
+        },
+        "id": "lCUWzso6mbqR",
+        "outputId": "fd0a22bc-8249-49dd-fcbd-63161cc47e46"
       },
-      "cell_type": "code",
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "TensorFlow operations convert numpy arrays to Tensors automatically\n",
+            "tf.Tensor(\n",
+            "[[ 42.  42.  42.]\n",
+            " [ 42.  42.  42.]\n",
+            " [ 42.  42.  42.]], shape=(3, 3), dtype=float64)\n",
+            "And NumPy operations convert Tensors to numpy arrays automatically\n",
+            "[[ 43.  43.  43.]\n",
+            " [ 43.  43.  43.]\n",
+            " [ 43.  43.  43.]]\n",
+            "The .numpy() method explicitly converts a Tensor to a numpy array\n",
+            "[[ 42.  42.  42.]\n",
+            " [ 42.  42.  42.]\n",
+            " [ 42.  42.  42.]]\n"
+          ]
+        }
+      ],
       "source": [
-        "print(x + 3)\n",
+        "import numpy as np\n",
         "\n",
-        "# This code will broadcast the value across the list of numbers:\n",
-        "print(x * [1, 2, 4])"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "ndarray = np.ones([3, 3])\n",
+        "\n",
+        "print(\"TensorFlow operations convert numpy arrays to Tensors automatically\")\n",
+        "tensor = tf.multiply(ndarray, 42)\n",
+        "print(tensor)\n",
+        "\n",
+        "\n",
+        "print(\"And NumPy operations convert Tensors to numpy arrays automatically\")\n",
+        "print(np.add(tensor, 1))\n",
+        "\n",
+        "print(\"The .numpy() method explicitly converts a Tensor to a numpy array\")\n",
+        "print(tensor.numpy())"
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "GVChqwlwy1SI",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "PBNP8yTRfu_X"
       },
-      "cell_type": "markdown",
       "source": [
-        "# Step 5: Debug Errors with Instant Feedback\n",
+        "## GPU acceleration\n",
         "\n",
-        "TensorFlow's eager execution helps you identify and debug runtime issues through interactive exploration of code snippets.\n",
-        "\n",
-        "Below, we'll define a length-4 vector, and attempt two `tf.slice()` operations,\n",
-        "one being legal and the other being illegal, leading to a runtime error that is\n",
-        "raised immediately."
+        "Many TensorFlow operations can be accelerated by using the GPU for computation. Without any annotations, TensorFlow automatically decides whether to use the GPU or CPU for an operation (and copies the tensor between CPU and GPU memory if necessary). Tensors produced by an operation are typically backed by the memory of the device on which the operation executed. For example:"
       ]
     },
     {
-      "metadata": {
-        "id": "23ap04N0v4k0",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        },
-        "cellView": "code"
-      },
       "cell_type": "code",
-      "source": [
-        "vector = tf.constant([10.0, 20.0, 30.0, 40.0])"
-      ],
       "execution_count": 0,
-      "outputs": []
-    },
-    {
       "metadata": {
-        "id": "FCUMsIYxxRRa",
-        "colab_type": "code",
+        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
-          }
+          },
+          "height": 53
         },
-        "cellView": "code"
-      },
-      "cell_type": "code",
-      "source": [
-        "# Works, because the values of `begin` and `size` (the 2nd and 3rd input\n",
-        "# arguments) are within the bound of `vector`.\n",
-        "print(tf.slice(vector, [1], [3]))"
-      ],
-      "execution_count": 0,
-      "outputs": []
-    },
-    {
-      "metadata": {
-        "id": "T8me2oCNxpFp",
         "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
+        "executionInfo": {
+          "elapsed": 340,
+          "status": "ok",
+          "timestamp": 1526420543562,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
         },
-        "cellView": "code"
+        "id": "3Twf_Rw-gQFM",
+        "outputId": "2239ae2b-adf3-4895-b1f3-464cf5361d1b"
       },
-      "cell_type": "code",
-      "source": [
-        "# The following does NOT work, because the value of `size` (the 3rd\n",
-        "# argument) causes the indices to go out of the bounds of `vector`. The\n",
-        "# error is raised immediately.\n",
-        "try:\n",
-        "  print(tf.slice(vector, [1], [4]))\n",
-        "except tf.OpError as e:\n",
-        "  print(\"Caught error: %s\" % e)"
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "Is there a GPU available:  False\n",
+            "Is the Tensor on GPU #0:   False\n"
+          ]
+        }
       ],
-      "execution_count": 0,
-      "outputs": []
+      "source": [
+        "x = tf.random_uniform([3, 3])\n",
+        "\n",
+        "print(\"Is there a GPU available: \"),\n",
+        "print(tf.test.is_gpu_available())\n",
+        "\n",
+        "print(\"Is the Tensor on GPU #0:  \"),\n",
+        "print(x.device.endswith('GPU:0'))"
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "irxJhAgar84v",
-        "colab_type": "text"
+        "colab_type": "text",
+        "id": "vpgYzgVXW2Ud"
       },
-      "cell_type": "markdown",
       "source": [
-        "# Step 6: Using the GPU\n",
-        "\n",
-        "You can explicitly place Tensors on the GPU by calling a Tensor's `.gpu()` method. The `.device` property tells you whether the Tensor is backed by CPU or GPU memory.\n",
+        "### Device Names\n",
         "\n",
-        "The first operation executing on the GPU may be slow as TensorFlow initializes. Subsequent uses will be much faster."
+        "The `Tensor.device` property provides a fully qualified string name of the device hosting the contents of the Tensor. This name encodes a bunch of details, such as an identifier of the network address of the host on which this program is executing and the device within that host. This is required for distributed execution of TensorFlow programs, but we'll skip that for now. The string will end with `GPU:\u003cN\u003e` if the tensor is placed on the `N`-th tensor on the host."
       ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "7J4N9baqaKCL",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        }
+        "colab_type": "text",
+        "id": "ZWZQCimzuqyP"
       },
-      "cell_type": "code",
       "source": [
-        "# Create some Tensors\n",
-        "SIZE = 1000\n",
-        "tensor = tf.random_normal([SIZE, SIZE])\n",
-        "print(tensor.device)\n",
         "\n",
         "\n",
-        "if tf.test.is_gpu_available():\n",
-        "  gpu_tensor = tensor.gpu()\n",
-        "  cpu_tensor = tensor.cpu()\n",
-        "else:\n",
-        "  print(\"GPU not available.\")\n",
-        "  cpu_tensor = tensor"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "### Explicit Device Placement\n",
+        "\n",
+        "The term \"placement\" in TensorFlow refers to how individual operations are assigned (placed on) a device for execution. As mentioned above, when there is no explicit guidance provided, TensorFlow automatically decides which device to execute an operation, and copies Tensors to that device if needed. However, TensorFlow operations can be explicitly placed on specific devices using the `tf.device` context manager. For example:"
+      ]
     },
     {
+      "cell_type": "code",
+      "execution_count": 0,
       "metadata": {
-        "id": "4E-2n7VbzY1n",
-        "colab_type": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
-          }
-        }
+          },
+          "height": 53
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 1762,
+          "status": "ok",
+          "timestamp": 1526420547562,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
+        },
+        "id": "RjkNZTuauy-Q",
+        "outputId": "2e613293-ccac-4db2-b793-8ceb5b5adcfd"
       },
-      "cell_type": "code",
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "On CPU:\n",
+            "10 loops, best of 3: 35.8 ms per loop\n"
+          ]
+        }
+      ],
       "source": [
-        "# Time a CPU-based matrix multiplication\n",
+        "def time_matmul(x):\n",
+        "  %timeit tf.matmul(x, x)\n",
         "\n",
-        "print(\"Time to conduct matmul on CPU:\")\n",
-        "%time tf.matmul(cpu_tensor, cpu_tensor)"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "# Force execution on CPU\n",
+        "print(\"On CPU:\")\n",
+        "with tf.device(\"CPU:0\"):\n",
+        "  x = tf.random_uniform([1000, 1000])\n",
+        "  assert x.device.endswith(\"CPU:0\")\n",
+        "  time_matmul(x)\n",
+        "\n",
+        "# Force execution on GPU #0 if available\n",
+        "if tf.test.is_gpu_available():\n",
+        "  with tf.device(\"GPU:0\"): # Or GPU:1 for the 2nd GPU, GPU:2 for the 3rd etc.\n",
+        "    x = tf.random_uniform([1000, 1000])\n",
+        "    assert x.device.endswith(\"GPU:0\")\n",
+        "    time_matmul(x)"
+      ]
     },
     {
+      "cell_type": "markdown",
       "metadata": {
-        "id": "vbSFW-T5zhZF",
-        "colab_type": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          }
-        }
+        "colab_type": "text",
+        "id": "YEOJTNiOvnpQ"
       },
-      "cell_type": "code",
       "source": [
-        "# Time GPU-based matrix multiplications.\n",
+        "## Next Steps\n",
         "\n",
-        "if tf.test.is_gpu_available():\n",
-        "  # First use of the GPU will be slow:\n",
-        "  print(\"Time to conduct first matmul on GPU:\")\n",
-        "  %time tf.matmul(gpu_tensor, gpu_tensor)\n",
-        "  print()\n",
-        "\n",
-        "  # Subsequent uses are much faster:\n",
-        "  print(\"Time to conduct second matmul on GPU:\")\n",
-        "  %time tf.matmul(gpu_tensor, gpu_tensor)"
-      ],
-      "execution_count": 0,
-      "outputs": []
+        "In this tutorial we covered the most fundamental concepts in TensorFlow - `Tensor`s, operations, and devices.\n",
+        "In [the next tutorial](https://github.com/tensorflow/models/tree/master/official/contrib/eager/python/examples/notebooks/2_gradients.ipynb) we will cover automatic differentiation - a building block required for training many machine learning models like neural networks."
+      ]
+    }
+  ],
+  "metadata": {
+    "colab": {
+      "collapsed_sections": [],
+      "default_view": {},
+      "name": "TensorFlow: An introduction",
+      "provenance": [],
+      "version": "0.3.2",
+      "views": {}
     }
-  ]
-}
\ No newline at end of file
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}

diff --git a/tensorflow/contrib/eager/python/examples/notebooks/2_gradients.ipynb b/tensorflow/contrib/eager/python/examples/notebooks/2_gradients.ipynb
index 1e65b27..9c1af9c 100644 (file)
--- a/tensorflow/contrib/eager/python/examples/notebooks/2_gradients.ipynb
+++ b/tensorflow/contrib/eager/python/examples/notebooks/2_gradients.ipynb
@@ -7,12 +7,9 @@
         "id": "vDJ4XzMqodTy"
       },
       "source": [
-        "# Eager Execution: Working with Gradients\n",
+        "# Automatic Differentiation\n",
         "\n",
-        "This notebook demonstrates:\n",
-        "\n",
-        "* How to get gradients using TensorFlow's eager execution capabilities\n",
-        "* How to apply the gradients so you can update your variables"
+        "In the previous tutorial we introduced `Tensor`s and operations on them. In this tutorial we will cover [automatic differentiation](https://en.wikipedia.org/wiki/Automatic_differentiation), a key technique for optimizing machine learning models."
       ]
     },
     {
@@ -22,7 +19,7 @@
         "id": "GQJysDM__Qb0"
       },
       "source": [
-        "# Setup: Import eager and enable eager execution.\n"
+        "## Setup\n"
       ]
     },
     {
@@ -40,12 +37,10 @@
       },
       "outputs": [],
       "source": [
-        "# Import TensorFlow.\n",
         "import tensorflow as tf\n",
+        "tf.enable_eager_execution()\n",
         "\n",
-        "\n",
-        "# Enable eager execution.\n",
-        "tf.enable_eager_execution()"
+        "tfe = tf.contrib.eager # Shorthand for some symbols"
       ]
     },
     {
@@ -55,28 +50,15 @@
         "id": "1CLWJl0QliB0"
       },
       "source": [
-        "# Fitting a Simple Linear Model"
-      ]
-    },
-    {
-      "cell_type": "markdown",
-      "metadata": {
-        "colab_type": "text",
-        "id": "-39gouo7mtgu"
-      },
-      "source": [
-        "## Step 1: Synthesize some data\n",
-        "\n",
-        "To demonstrate fitting a model with TensorFlow's eager execution, we'll fit a linear model to some synthesized data (which includes some noise).\n",
+        "## Derivatives of a function\n",
         "\n",
-        "In the code, we  use the variable names `w` and `b` to represent the single weight and bias we'll use to fit our model."
+        "TensorFlow provides APIs for automatic differentiation - computing the derivative of a function. The way that more closely mimics the math is to encapsulate the computation in a Python function, say `f`, and use `tfe.gradients_function` to create a function that computes the derivatives of `f` with respect to its arguments. If you're familiar with [autograd](https://github.com/HIPS/autograd) for differentiating numpy functions, this will be familiar. For example: "
       ]
     },
     {
       "cell_type": "code",
       "execution_count": 0,
       "metadata": {
-        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
@@ -84,105 +66,53 @@
           }
         },
         "colab_type": "code",
-        "id": "rQsdCg9PfIL-"
+        "id": "9FViq92UX7P8"
       },
       "outputs": [],
       "source": [
-        "# The constants we'll try to fit our variables to:\n",
-        "true_w = 3\n",
-        "true_b = 2\n",
-        "\n",
-        "NUM_EXAMPLES = 1000\n",
+        "from math import pi\n",
         "\n",
-        "# Our inputs:\n",
-        "inputs = tf.random_normal(shape=[NUM_EXAMPLES, 1])\n",
+        "def f(x):\n",
+        "  return tf.square(tf.sin(x))\n",
         "\n",
-        "# Our labels, with noise:\n",
-        "noise = tf.random_normal(shape=[NUM_EXAMPLES, 1])\n",
-        "labels = inputs * true_w + true_b + noise"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": 0,
-      "metadata": {
-        "cellView": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          },
-          "base_uri": "https://localhost:8080/",
-          "height": 347
-        },
-        "colab_type": "code",
-        "executionInfo": {
-          "elapsed": 374,
-          "status": "ok",
-          "timestamp": 1525154227149,
-          "user": {
-            "displayName": "",
-            "photoUrl": "",
-            "userId": ""
-          },
-          "user_tz": 420
-        },
-        "id": "O4lsC4ckAcar",
-        "outputId": "f8becb3f-498b-4cb7-9ef3-608a68cb65d0"
-      },
-      "outputs": [
-        {
-          "data": {
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YAeBjDZNQrB/6b37A6cXh/+kUfV+4tCfXlXPHiINzW1sbJk6cCKs1NtXe6/XiscceQ0dH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\ny5mIiKjCsJyJiIgqzC8iivHPF8qqogAAAABJRU5ErkJggg==\n",
-            "text/plain": [
-              "\u003cmatplotlib.figure.Figure at 0x7f7a18dfb8d0\u003e"
-            ]
-          },
-          "metadata": {
-            "tags": []
-          },
-          "output_type": "display_data"
-        }
-      ],
-      "source": [
-        "# Plot the Data (Optional)\n",
+        "assert f(pi/2).numpy() == 1.0\n",
         "\n",
-        "import matplotlib.pyplot as plt\n",
         "\n",
-        "plt.scatter(inputs, labels)\n",
-        "plt.show()"
+        "# grad_f will return a list of derivatives of f\n",
+        "# with respect to its arguments. Since f() has a single argument,\n",
+        "# grad_f will return a list with a single element.\n",
+        "grad_f = tfe.gradients_function(f)\n",
+        "assert tf.abs(grad_f(pi/2)[0]).numpy() \u003c 1e-7"
       ]
     },
     {
       "cell_type": "markdown",
       "metadata": {
         "colab_type": "text",
-        "id": "JaFHyAG9nDET"
+        "id": "v9fPs8RyopCf"
       },
       "source": [
-        "## Step 2: Define our TensorFlow variables\n",
+        "### Higher-order gradients\n",
         "\n",
-        "We'll use Keras's object-oriented [`Dense`](https://www.tensorflow.org/api_docs/python/tf/keras/layers/Dense) layer to create our variables. In this case, we'll create a `Dense` layer with a single weight and bias."
+        "The same API can be used to differentiate as many times as you like:\n"
       ]
     },
     {
       "cell_type": "code",
       "execution_count": 0,
       "metadata": {
-        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
             "wait_interval": 0
           },
-          "base_uri": "https://localhost:8080/",
-          "height": 34
+          "height": 276
         },
         "colab_type": "code",
         "executionInfo": {
-          "elapsed": 332,
+          "elapsed": 730,
           "status": "ok",
-          "timestamp": 1525154229931,
+          "timestamp": 1527005655565,
           "user": {
             "displayName": "",
             "photoUrl": "",
@@ -190,54 +120,61 @@
           },
           "user_tz": 420
         },
-        "id": "z9r-ZeyrXu3A",
-        "outputId": "e19a698e-5892-4fcd-80d3-1394605ee72c"
+        "id": "3D0ZvnGYo0rW",
+        "outputId": "e23f8cc6-6813-4944-f20f-825b8a03c2ff"
       },
       "outputs": [
         {
           "data": {
+            "image/png": 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5nzUnrbzzj51MmZnKmUvGhbCnbQn1eH79RR77d5Zx+Q2zSEju+1F0u7YUsXVj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\nF3bGGIswXNgZYyzC/Be68EGj7hfMcwAAAABJRU5ErkJggg==\n",
             "text/plain": [
-              "[]"
+              "\u003cmatplotlib.figure.Figure at 0x7f385e198650\u003e"
             ]
           },
-          "execution_count": 48,
           "metadata": {
             "tags": []
           },
-          "output_type": "execute_result"
+          "output_type": "display_data"
         }
       ],
       "source": [
-        "# Create TensorFlow Variables using Keras's Dense layer.\n",
+        "def f(x):\n",
+        "  return tf.square(tf.sin(x))\n",
         "\n",
-        "wb = tf.keras.layers.Dense(units=1, use_bias=True)\n",
+        "def grad(f):\n",
+        "  return lambda x: tfe.gradients_function(f)(x)[0]\n",
         "\n",
-        "# We can access the underlying TensorFlow variables using wb.variables.\n",
-        "# However, the variables won't exist until the dimensions of the input\n",
-        "# tensors are known. Once the dimensions of the input tensors are known,\n",
-        "# Keras can create and initialize the variables. Until then, Keras will\n",
-        "# report the variables as an empty list: [].\n",
+        "x = tf.lin_space(-2*pi, 2*pi, 100)  # 100 points between -2π and +2π\n",
         "\n",
-        "wb.variables"
+        "import matplotlib.pyplot as plt\n",
+        "\n",
+        "plt.plot(x, f(x), label=\"f\")\n",
+        "plt.plot(x, grad(f)(x), label=\"first derivative\")\n",
+        "plt.plot(x, grad(grad(f))(x), label=\"second derivative\")\n",
+        "plt.plot(x, grad(grad(grad(f)))(x), label=\"third derivative\")\n",
+        "plt.legend()\n",
+        "plt.show()"
       ]
     },
     {
       "cell_type": "markdown",
       "metadata": {
         "colab_type": "text",
-        "id": "docKLUaonYG_"
+        "id": "-39gouo7mtgu"
       },
       "source": [
-        "## Step 3: *Define the loss function*\n",
+        "## Gradient tapes\n",
         "\n",
-        "Our loss function is the standard L2 loss (where we reduce the loss to its mean across its inputs)."
+        "Every differentiable TensorFlow operation has an associated gradient function. For example, the gradient function of `tf.square(x)` would be a function that returns `2.0 * x`.  To compute the gradient of a user-defined function (like `f(x)` in the example above), TensorFlow first \"records\" all the operations applied to compute the output of the function. We call this record a \"tape\". It then uses that tape and the gradients functions associated with each primitive operation to compute the gradients of the user-defined function using [reverse mode differentiation](https://en.wikipedia.org/wiki/Automatic_differentiation).\n",
+        "\n",
+        "Since operations are recorded as they are executed, Python control flow (using `if`s and `while`s for example) is naturally handled:\n",
+        "\n"
       ]
     },
     {
       "cell_type": "code",
       "execution_count": 0,
       "metadata": {
-        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
@@ -245,125 +182,42 @@
           }
         },
         "colab_type": "code",
-        "id": "0_w8ZJSCtuY7"
+        "id": "MH0UfjympWf7"
       },
       "outputs": [],
       "source": [
-        "def loss_fn(predictions, labels):\n",
-        "  \"\"\"Calculates the mean L2 loss for our linear model.\"\"\"\n",
-        "  return tf.reduce_mean(tf.square(predictions - labels))"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": 0,
-      "metadata": {
-        "cellView": "code",
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          },
-          "base_uri": "https://localhost:8080/",
-          "height": 34
-        },
-        "colab_type": "code",
-        "executionInfo": {
-          "elapsed": 348,
-          "status": "ok",
-          "timestamp": 1525154234538,
-          "user": {
-            "displayName": "",
-            "photoUrl": "",
-            "userId": ""
-          },
-          "user_tz": 420
-        },
-        "id": "RkNbXoXkpjVH",
-        "outputId": "e4688f3c-e29f-416d-f541-6d81953b5660"
-      },
-      "outputs": [
-        {
-          "data": {
-            "text/plain": [
-              "\u003ctf.Tensor: id=1252, shape=(), dtype=float32, numpy=16.979801\u003e"
-            ]
-          },
-          "execution_count": 50,
-          "metadata": {
-            "tags": []
-          },
-          "output_type": "execute_result"
-        }
-      ],
-      "source": [
-        "# Test loss function (optional).\n",
+        "def f(x, y):\n",
+        "  output = 1\n",
+        "  for i in range(y):\n",
+        "    output = tf.multiply(output, x)\n",
+        "  return output\n",
         "\n",
-        "loss_fn(wb(inputs), labels)"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": 0,
-      "metadata": {
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          },
-          "base_uri": "https://localhost:8080/",
-          "height": 51
-        },
-        "colab_type": "code",
-        "executionInfo": {
-          "elapsed": 418,
-          "status": "ok",
-          "timestamp": 1525154260083,
-          "user": {
-            "displayName": "",
-            "photoUrl": "",
-            "userId": ""
-          },
-          "user_tz": 420
-        },
-        "id": "K_7beXoHOU7t",
-        "outputId": "8f55c028-fe2b-4edb-ad68-a849afc60623"
-      },
-      "outputs": [
-        {
-          "name": "stdout",
-          "output_type": "stream",
-          "text": [
-            "w: -0.311619\n",
-            "b: 0.000000\n"
-          ]
-        }
-      ],
-      "source": [
-        "# At this point, the variables exist, and can now be queried:\n",
+        "def g(x, y):\n",
+        "  # Return the gradient of `f` with respect to it's first parameter\n",
+        "  return tfe.gradients_function(f)(x, y)[0]\n",
         "\n",
-        "w, b = wb.variables\n",
-        "print(\"w: %f\" % w.numpy())\n",
-        "print(\"b: %f\" % b.numpy())"
+        "assert f(3.0, 2).numpy() == 9.0   # f(x, 2) is essentially x * x\n",
+        "assert g(3.0, 2).numpy() == 6.0   # And its gradient will be 2 * x\n",
+        "assert f(4.0, 3).numpy() == 64.0  # f(x, 3) is essentially x * x * x\n",
+        "assert g(4.0, 3).numpy() == 48.0  # And its gradient will be 3 * x * x"
       ]
     },
     {
       "cell_type": "markdown",
       "metadata": {
         "colab_type": "text",
-        "id": "JVDWpL9VYWdP"
+        "id": "aNmR5-jhpX2t"
       },
       "source": [
-        "## Step 4: Create an optimizer\n",
+        "At times it may be inconvenient to encapsulate computation of interest into a function. For example, if you want the gradient of the output with respect to intermediate values computed in the function. In such cases, the slightly more verbose but explicit [tf.GradientTape](https://www.tensorflow.org/api_docs/python/tf/GradientTape) context is useful. All computation inside the context of a `tf.GradientTape` is \"recorded\".\n",
         "\n",
-        "We'll use a `GradientDescentOptimizer` to fit our model."
+        "For example:"
       ]
     },
     {
       "cell_type": "code",
       "execution_count": 0,
       "metadata": {
-        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
@@ -371,36 +225,48 @@
           }
         },
         "colab_type": "code",
-        "id": "DudNEebMKDWN"
+        "id": "bAFeIE8EuVIq"
       },
       "outputs": [],
       "source": [
-        "optimizer = tf.train.GradientDescentOptimizer(learning_rate=0.1)"
+        "x = tf.ones((2, 2))\n",
+        "  \n",
+        "# TODO(b/78880779): Remove the 'persistent=True' argument and use\n",
+        "# a single t.gradient() call when the bug is resolved.\n",
+        "with tf.GradientTape(persistent=True) as t:\n",
+        "  # TODO(ashankar): Explain with \"watch\" argument better?\n",
+        "  t.watch(x)\n",
+        "  y = tf.reduce_sum(x)\n",
+        "  z = tf.multiply(y, y)\n",
+        "\n",
+        "# Use the same tape to compute the derivative of z with respect to the\n",
+        "# intermediate value y.\n",
+        "dz_dy = t.gradient(z, y)\n",
+        "assert dz_dy.numpy() == 8.0\n",
+        "\n",
+        "# Derivative of z with respect to the original input tensor x\n",
+        "dz_dx = t.gradient(z, x)\n",
+        "for i in [0, 1]:\n",
+        "  for j in [0, 1]:\n",
+        "    assert dz_dx[i][j].numpy() == 8.0"
       ]
     },
     {
       "cell_type": "markdown",
       "metadata": {
         "colab_type": "text",
-        "id": "YBeJYxY8YaiO"
+        "id": "DK05KXrAAld3"
       },
       "source": [
-        "### Step 5: Define a training step\n",
-        "\n",
-        "To fit model variables to the data we'll need to:\n",
+        "### Higher-order gradients\n",
         "\n",
-        "1. Calculate the gradients of the loss with respect to the model variables.\n",
-        "2. Use `optimizer` to compute updates to the variable values based on those gradients.\n",
-        "\n",
-        "To calculate the gradients, we use the [`tf.GradientTape`](https://www.tensorflow.org/api_docs/python/tf/GradientTape) context manager\n",
-        "and its `gradient` function to compute gradients through computation conducted within its context:\n"
+        "Operations inside of the `GradientTape` context manager are recorded for automatic differentiation. If gradients are computed in that context, then the gradient computation is recorded as well. As a result, the exact same API works for higher-order gradients as well. For example:"
       ]
     },
     {
       "cell_type": "code",
       "execution_count": 0,
       "metadata": {
-        "cellView": "code",
         "colab": {
           "autoexec": {
             "startup": false,
@@ -408,163 +274,37 @@
           }
         },
         "colab_type": "code",
-        "id": "diDZfrMJM3OC"
+        "id": "cPQgthZ7ugRJ"
       },
       "outputs": [],
       "source": [
-        "def run_step(inputs, labels):\n",
-        "  with tf.GradientTape() as g:\n",
-        "    loss = loss_fn(wb(inputs), labels)\n",
-        "  # Compute the partial derivatives of loss with respect to the variables\n",
-        "  grads = g.gradient(loss, wb.variables)\n",
-        "  optimizer.apply_gradients(zip(grads, wb.variables))\n",
-        "  return loss"
-      ]
-    },
-    {
-      "cell_type": "markdown",
-      "metadata": {
-        "colab_type": "text",
-        "id": "1WWepgmJQOzc"
-      },
-      "source": [
-        "Repeatedly running the training step will nudge the variables towards the values that best fit the data (i.e., \"w\" will move closer to 3.0, while \"b\" will tend to 2.0):\n",
-        "\n"
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": 0,
-      "metadata": {
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          },
-          "base_uri": "https://localhost:8080/",
-          "height": 51
-        },
-        "colab_type": "code",
-        "executionInfo": {
-          "elapsed": 380,
-          "status": "ok",
-          "timestamp": 1525154412590,
-          "user": {
-            "displayName": "",
-            "photoUrl": "",
-            "userId": ""
-          },
-          "user_tz": 420
-        },
-        "id": "ya5Qxz5XQlhU",
-        "outputId": "8dd47155-a6c1-44c5-c279-617c803f1723"
-      },
-      "outputs": [
-        {
-          "name": "stdout",
-          "output_type": "stream",
-          "text": [
-            "Values of w, b BEFORE applying gradients: 2.725763, 1.894334\n",
-            "Values of w, b AFTER  applying gradients: 2.774932, 1.922555\n"
-          ]
-        }
-      ],
-      "source": [
-        "w, b = wb.variables\n",
-        "print(\"Values of w, b BEFORE applying gradients: %f, %f\" % (w.numpy(), b.numpy()))\n",
-        "run_step(inputs, labels)\n",
-        "print(\"Values of w, b AFTER  applying gradients: %f, %f\" % (w.numpy(), b.numpy()))\n"
+        "# TODO(ashankar): Should we use the persistent tape here instead? Follow up on Tom and Alex's discussion\n",
+        "\n",
+        "x = tf.constant(1.0)  # Convert the Python 1.0 to a Tensor object\n",
+        "\n",
+        "with tf.GradientTape() as t:\n",
+        "  with tf.GradientTape() as t2:\n",
+        "    t2.watch(x)\n",
+        "    y = x * x * x\n",
+        "  # Compute the gradient inside the 't' context manager\n",
+        "  # which means the gradient computation is differentiable as well.\n",
+        "  dy_dx = t2.gradient(y, x)\n",
+        "d2y_dx2 = t.gradient(dy_dx, x)\n",
+        "\n",
+        "assert dy_dx.numpy() == 3.0\n",
+        "assert d2y_dx2.numpy() == 6.0"
       ]
     },
     {
       "cell_type": "markdown",
       "metadata": {
         "colab_type": "text",
-        "id": "61TgeLVlKEQp"
-      },
-      "source": [
-        "## Step 6: Create a training loop\n",
-        "\n",
-        "Of course, now we can simply turn all of this code into a self-standing training loop. We'll also capture our loss and approximations of `w` and `b` and plot them over time."
-      ]
-    },
-    {
-      "cell_type": "code",
-      "execution_count": 0,
-      "metadata": {
-        "colab": {
-          "autoexec": {
-            "startup": false,
-            "wait_interval": 0
-          },
-          "base_uri": "https://localhost:8080/",
-          "height": 364
-        },
-        "colab_type": "code",
-        "executionInfo": {
-          "elapsed": 580,
-          "status": "ok",
-          "timestamp": 1525154278709,
-          "user": {
-            "displayName": "",
-            "photoUrl": "",
-            "userId": ""
-          },
-          "user_tz": 420
-        },
-        "id": "VukGe-huNaJ4",
-        "outputId": "c79c8e63-c781-451e-f74f-20815d8da49f"
+        "id": "4U1KKzUpNl58"
       },
-      "outputs": [
-        {
-          "name": "stdout",
-          "output_type": "stream",
-          "text": [
-            "[0.9409681558609009, 1.3733772039413452, 1.7128530740737915, 1.9793939590454102, 2.188689708709717, 2.3530514240264893, 2.4821391105651855, 2.583533763885498, 2.6631851196289062, 2.7257626056671143]\n"
-          ]
-        },
-        {
-          "data": {
-            "image/png": 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DXNwuLFmyEgAwduxIdO3aHT/+uBWDBj2F3r374sCBf5GcfAfDhkXh4sULGDDgSatNzgkJ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\nviIiIln2BzQKNGAGnBgwAAAAAElFTkSuQmCC\n",
-            "text/plain": [
-              "\u003cmatplotlib.figure.Figure at 0x7f7a18df6b50\u003e"
-            ]
-          },
-          "metadata": {
-            "tags": []
-          },
-          "output_type": "display_data"
-        }
-      ],
       "source": [
-        "# Train our variables.\n",
-        "\n",
-        "# numpy is used for its asscalar() function.\n",
-        "import numpy as np\n",
-        "\n",
-        "num_training_steps = 10\n",
-        "\n",
-        "def train_model(inputs, labels, wb, optimizer, num_training_steps):\n",
-        "  loss_at_step = []\n",
-        "  w_at_step = []\n",
-        "  b_at_step = []\n",
-        "  for step_num in range(num_training_steps):\n",
-        "    loss_at_step.append(run_step(inputs, labels))\n",
-        "    w, b = wb.variables\n",
-        "    w_at_step.append(np.asscalar(w.numpy()))\n",
-        "    b_at_step.append(np.asscalar(b.numpy()))\n",
-        "\n",
-        "  print(w_at_step)\n",
-        "  t = range(0, num_training_steps)\n",
-        "  plt.plot(t, loss_at_step, 'k',\n",
-        "           t, w_at_step, 'r',\n",
-        "           t, [true_w] * num_training_steps, 'r--',\n",
-        "           t, b_at_step, 'b',\n",
-        "           t, [true_b] * num_training_steps, 'b--')\n",
-        "  plt.legend(['loss', 'w estimate', 'w true', 'b estimate', 'b true'])\n",
-        "  plt.show()\n",
+        "## Next Steps\n",
         "\n",
-        "train_model(inputs, labels, wb, optimizer, num_training_steps)"
+        "In this tutorial we covered gradient computation in TensorFlow. With that we have enough of the primitives required to build an train neural networks, which we will cover in the [next tutorial](https://github.com/tensorflow/models/tree/master/official/contrib/eager/python/examples/notebooks/3_neural_networks.ipynb)."
       ]
     }
   ],
@@ -572,7 +312,7 @@
     "colab": {
       "collapsed_sections": [],
       "default_view": {},
-      "name": "Eager Execution Tutorial: Working with Gradients",
+      "name": "Automatic Differentiation",
       "provenance": [],
       "version": "0.3.2",
       "views": {}

diff --git a/tensorflow/contrib/eager/python/examples/notebooks/3_training_models.ipynb b/tensorflow/contrib/eager/python/examples/notebooks/3_training_models.ipynb
new file mode 100644 (file)
index 0000000..d9a9bff
--- /dev/null
+++ b/tensorflow/contrib/eager/python/examples/notebooks/3_training_models.ipynb
@@ -0,0 +1,443 @@
+{
+  "cells": [
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "k2o3TTG4TFpt"
+      },
+      "source": [
+        "# Training Models\n",
+        "\n",
+        "In the previous tutorial we covered the TensorFlow APIs for automatic differentiation, a basic building block for machine learning.\n",
+        "In this tutorial we will use the TensorFlow primitives introduced in the prior tutorials to do some simple machine learning.\n",
+        "\n",
+        "TensorFlow also includes a higher-level neural networks API (`tf.keras`) which provides useful abstractions to reduce boilerplate. We strongly recommend those higher level APIs for people working with neural networks. However, in this short tutorial we cover neural network training from first principles to establish a strong foundation."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "3LXMVuV0VhDr"
+      },
+      "source": [
+        "## Setup"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "PJ64L90aVir3"
+      },
+      "outputs": [],
+      "source": [
+        "import tensorflow as tf\n",
+        "tf.enable_eager_execution()\n",
+        "tfe = tf.contrib.eager # Shorthand for some symbols"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "eMAWbDJFVmMk"
+      },
+      "source": [
+        "## Variables\n",
+        "\n",
+        "Neural networks are characterized by a set of parameters (sometimes called \"weights\", sometimes called \"variables\") with fixed shapes and types, where the actual values are computed and adjusted during the training process. The `tfe.Variable` object encapsulates such parameters.\n",
+        "\n",
+        "Recall that `Tensor` objects are immutable, i.e., the underlying value of the `Tensor` cannot be changed. `Variable` objects act like `Tensor`s but are mutable via calls to `assign`, `assign_add` etc.\n",
+        "\n",
+        "For example:"
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "itxmrMil6DQi"
+      },
+      "outputs": [],
+      "source": [
+        "v = tfe.Variable(1.0)\n",
+        "assert v.numpy() == 1.0\n",
+        "\n",
+        "# Re-assign the value\n",
+        "v.assign(3.0)\n",
+        "assert v.numpy() == 3.0\n",
+        "\n",
+        "# Use `v` in a TensorFlow operation like tf.square() and reassign\n",
+        "v.assign(tf.square(v))\n",
+        "assert v.numpy() == 9.0"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "BMiFcDzE7Qu3"
+      },
+      "source": [
+        "## Example: Fitting a linear model\n",
+        "\n",
+        "Let's now put the few concepts we have so far ---`Tensor`, `GradientTape`, `Variable` --- to build and train a simple model. This typically involves a few steps:\n",
+        "\n",
+        "1. Define the model.\n",
+        "2. Define a loss function.\n",
+        "3. Obtain training data.\n",
+        "4. Run through the training data and use an \"optimizer\" to adjust the variables to fit the data.\n",
+        "\n",
+        "In this tutorial, we'll walk through a trivial example of a simple linear model: `f(x) = x * W + b`, which has two variables - `W` and `b`. Furthermore, we'll synthesize data such that a well trained model would have `W = 3.0` and `b = 2.0`."
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "gFzH64Jn9PIm"
+      },
+      "source": [
+        "### Define the model\n",
+        "\n",
+        "Let's define a simple class to encapsulate the variables and the computation."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "_WRu7Pze7wk8"
+      },
+      "outputs": [],
+      "source": [
+        "class Model(object):\n",
+        "  def __init__(self):\n",
+        "    # Initialize variable to (5.0, 0.0)\n",
+        "    # In practice, these should be initialized to random values.\n",
+        "    self.W = tfe.Variable(5.0)\n",
+        "    self.b = tfe.Variable(0.0)\n",
+        "    \n",
+        "  def __call__(self, x):\n",
+        "    return self.W * x + self.b\n",
+        "  \n",
+        "model = Model()\n",
+        "\n",
+        "assert model(3.0).numpy() == 15.0"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "xa6j_yXa-j79"
+      },
+      "source": [
+        "### Define a loss function\n",
+        "\n",
+        "A loss function measures how well the output of a model for a given input matches the desired output. Let's use the standard L2 loss."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "Y0ysUFGY924U"
+      },
+      "outputs": [],
+      "source": [
+        "def loss(predicted_y, desired_y):\n",
+        "  return tf.reduce_mean(tf.square(predicted_y - desired_y))"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "qutT_fkl_CBc"
+      },
+      "source": [
+        "### Obtain training data\n",
+        "\n",
+        "Let's synthesize the training data with some noise."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "gxPTb-kt_N5m"
+      },
+      "outputs": [],
+      "source": [
+        "TRUE_W = 3.0\n",
+        "TRUE_b = 2.0\n",
+        "NUM_EXAMPLES = 1000\n",
+        "\n",
+        "inputs  = tf.random_normal(shape=[NUM_EXAMPLES])\n",
+        "noise   = tf.random_normal(shape=[NUM_EXAMPLES])\n",
+        "outputs = inputs * TRUE_W + TRUE_b + noise"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "-50nq-wPBsAW"
+      },
+      "source": [
+        "Before we train the model let's visualize where the model stands right now. We'll plot the model's predictions in red and the training data in blue."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 6,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          },
+          "height": 293
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 1210,
+          "status": "ok",
+          "timestamp": 1527005898290,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
+        },
+        "id": "_eb83LtrB4nt",
+        "outputId": "3873f508-72fb-41e7-a7f5-3f513deefe38"
+      },
+      "outputs": [
+        {
+          "data": {
+            "image/png": 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sGElVVcPfq0zMNj9E8AWv5+y8Zj1710V4p817v0cJcg9U1h2E6lLZBiW90ZZj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\n2wtBEQbDU5bM/iQwGVXeeSc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ubi59+/atedy+fXtyc3PdMZTgQKHJxL8HX0e306VUYF9b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\noZkggi8IgtBMEMEXBEFoJvw//5K32R/vBHAAAAAASUVORK5CYII=\n",
+            "text/plain": [
+              "\u003cmatplotlib.figure.Figure at 0x7f5be3c99f50\u003e"
+            ]
+          },
+          "metadata": {
+            "tags": []
+          },
+          "output_type": "display_data"
+        },
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "Current loss:  9.48636\n"
+          ]
+        }
+      ],
+      "source": [
+        "import matplotlib.pyplot as plt\n",
+        "\n",
+        "plt.scatter(inputs, outputs, c='b')\n",
+        "plt.scatter(inputs, model(inputs), c='r')\n",
+        "plt.show()\n",
+        "\n",
+        "print('Current loss: '),\n",
+        "print(loss(model(inputs), outputs).numpy())"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "sSDP-yeq_4jE"
+      },
+      "source": [
+        "### Define a training loop\n",
+        "\n",
+        "We now have our network and our training data. Let's train it, i.e., use the training data to update the model's variables (`W` and `b`) so that the loss goes down using [gradient descent](https://en.wikipedia.org/wiki/Gradient_descent). There are many variants of the gradient descent scheme that are captured in `tf.train.Optimizer` implementations. We'd highly recommend using those implementations, but in the spirit of building from first principles, in this particular example we will implement the basic math ourselves."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 0,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          }
+        },
+        "colab_type": "code",
+        "id": "MBIACgdnA55X"
+      },
+      "outputs": [],
+      "source": [
+        "def train(model, inputs, outputs, learning_rate):\n",
+        "  with tf.GradientTape() as t:\n",
+        "    current_loss = loss(model(inputs), outputs)\n",
+        "  dW, db = t.gradient(current_loss, [model.W, model.b])\n",
+        "  model.W.assign_sub(learning_rate * dW)\n",
+        "  model.b.assign_sub(learning_rate * db)"
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "RwWPaJryD2aN"
+      },
+      "source": [
+        "Finally, let's repeatedly run through the training data and see how `W` and `b` evolve."
+      ]
+    },
+    {
+      "cell_type": "code",
+      "execution_count": 10,
+      "metadata": {
+        "colab": {
+          "autoexec": {
+            "startup": false,
+            "wait_interval": 0
+          },
+          "height": 446
+        },
+        "colab_type": "code",
+        "executionInfo": {
+          "elapsed": 569,
+          "status": "ok",
+          "timestamp": 1527005915434,
+          "user": {
+            "displayName": "",
+            "photoUrl": "",
+            "userId": ""
+          },
+          "user_tz": 420
+        },
+        "id": "XdfkR223D9dW",
+        "outputId": "c43591ae-d5ac-4f2b-a8e7-bfce607e0919"
+      },
+      "outputs": [
+        {
+          "name": "stdout",
+          "output_type": "stream",
+          "text": [
+            "Epoch  0: W=5.00 b=0.00, loss=9.48636\n",
+            "Epoch  1: W=4.58 b=0.42, loss=6.28101\n",
+            "Epoch  2: W=4.24 b=0.76, loss=4.29357\n",
+            "Epoch  3: W=3.98 b=1.02, loss=3.06128\n",
+            "Epoch  4: W=3.78 b=1.23, loss=2.29721\n",
+            "Epoch  5: W=3.61 b=1.39, loss=1.82345\n",
+            "Epoch  6: W=3.49 b=1.52, loss=1.52970\n",
+            "Epoch  7: W=3.38 b=1.62, loss=1.34756\n",
+            "Epoch  8: W=3.30 b=1.70, loss=1.23463\n",
+            "Epoch  9: W=3.24 b=1.76, loss=1.16460\n"
+          ]
+        },
+        {
+          "data": {
+            "image/png": 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kWJNHwjJ8BOTwcJXTE7XM3z8ACQkDMH/+fRg6NAnDhyc3+rrBYMCCBY9g0aL5iIrqjG7d\nuju+9utfv4A//vElvPPOOthsIsaPv6PZ0k5IGIDNmzehXz/llXF69+6DoqIizJgx0+XP57q2ZrWX\n9uuvv97qsfzXvnVukcligSH9BEyHvlKK/OhhCNXVji+Lcb1gHT4C1uQRsCaNgBTR8jqhSzJphBZz\nMZNztJrJGdxPW0VumclqheHkCRgPfQ3T1wdhOHIYuqr6UwjFmFhYk0Y43lxxib0Wf50AbeZiJudo\nNZMzeBk7XR+jEeLtQyHePhQ1S5crJZ55UllKSTsI4+Fv4LVxPbw2rgcA2Lr3UNbD65ZUpM5d1M1P\n5OZY2nRzjEaIg26HOOh21Cx5HBBFGLIylBI/9BWMh9Lg9d4GeL23AQBg69odluQR9SUe3VXlJ0Dk\nXlja5FoGA8TbBkG8bRBq/mcpYLPB8G0WjF9/VV/iddvNAoAtuiusSSNgsS+ndO3mvi+TTdQOWNrU\ntvR6iIkDISYORM0vFwM2G/Q538KUdtAxjXtu+jc8NylXkNk6d3Gsh1uSRkDq3kPlJ0CkLSxtal96\nPWwJiahJSETNo/8DSBL0p3Ial/hHH8Dzow8AALZOUcCY0fDqkwAxcQDEhETI/gEqPwki9bC0SV06\nHWz9+qOmX3/U/OKXSol//x2MaV/BlKYsqeD99+GL9x13EXv0VKb3hAF1RT5Aefk2og6ApU3aotPB\nFt8Xtvi+qF24CJBlhJUWonx/GgyZGcpb1kl4frIF+GSL4262LtH1JZ44AGLiwDY5Z5zcT2VlJXbv\n/j/MnHlPm32PNWt+i+TkkRg9elybfQ87ljZpmyAAvXrBHNQJ5pRZyudkGbr8844CN2RmwJhxEh67\nPoPHrs8cd7WFR9SXeMJAiIkDIHWJ5g86Oxj7ftpNS1uSJOh07vc6MCxtcj+CACm6KyzRXWGZdqfj\n07qLhTBknmwwkWfA4z9fwOM/XziOkYKCHAVuf7N17wm44V9edzVokE+znz9+vMolxzfVcD9tvV4P\nLy9vREVF4ttvc/Dqq39Gaurj2LBhEwBlL+3a2hosWPALFBTk47XXXkFZWSk8PT2Rmvocunbtds3v\nc/ToYXz44fsoKSnG4sVPIClphFP5rhdLm24ZUkQkLBMnwzJxsuNzwpUrMGTVl7gh82T962va7+fr\nBzEh0bE+LiYOhC02DjDwr8etoOF+2unpx5Ga+gTWrn0VRqPfTe+l3VBh4U/429/eRH7+eSxd+hg2\nbdoGo9Ho8ufDP5V0S5NDQmAdMw7WMfVrjUJ5GQzZWfVTeVYGjIcPwXTo6/r7eXlB7NvfsT4uJg6A\n2DseMJnUeBq3FGcn5Bs9vjV9+/ZDVFRUi5exO7uXdkPjxk0EAHTpEo2oqM748ccfmt1c6maxtKnD\nkf0DHOeCO1RVwZCT3WAiz4AhIx3G40fr72c0QozvpxR4/0Rg2CAIIZ2VnQ65Tu42PD09Hbf1ej1s\ntvrXibRYzAAAWZbg5+fveLUbZzSd2K81wd8sljYRAPj4OPZUcTCbYfgup9FZK4Zvs2HMPOk4JBSA\n5B8AW2wsbDFxsMX1glj33tajJ+Dh0f7PhRrx9vZGdd3OlE33xwsKCkZpaQnKy8vh6emJtLSvMGxY\nEry9fdCpUxT27v1Pq3tp2+3d+x9MnjwNFy4U4MKFghbXv28GS5voWjw8IA64DeKA2+o/Z7VCn3sa\nhqwM+F/4EeaMbOjP5MKQlQnjieON7i7rdJC6doMYG+codFtsHMTYXsqLSXA6bxcN99M2mTwQHBzs\n+Jor9tK2i47uhsWLF6GkpBhPPbWyTdazAW7Nqipmco4WMwFNcokidOd+hOFMLvS5udCfyVXKPS8X\nustFV93XMZ3H1he5LTbupqdzLf5aMZNzuDUrUXsyGCD1jIGlZwzQ4OwVABBKS6DPy4U+LxeGuvf6\nvNOtT+f2Iq9bcuF0TgBLm6jNyYFBEAcPgTh4CMwNvyCK0J/7oa7E86DPO11X7KeVc8sbnF8O1E3n\nccpSixjXS1lyccF0Ts7bsGEd9u79DwRBgCzLEAQBY8dOwNy5C9otA5dHVMRMztFiJqBtc101neee\nVpZczv4XgtXa6FjHdB7XCx59eqEyJBK26GhIXaJh69IVcmioqhO6Fn//tJrJGZy0iTTIqem8bu3c\nUFfoHrs/B3Z/Dt+mj+XlBVvnLkqJR3eFFN0VtrpCl6KjIUV2AvT6dnx2dDNY2kTuxGCArWcsbD1j\ngTumNPqSUFKM0MorKMv8Dvr8c9Dln4f+/Pm69z/CkJfb7EPKBgOkqM6wdbFP59GOYpeio2HrHM3l\nFw1haRPdIuSgYKBXN1iir3FaWmUl9PnnlUI/fx76/PPQ5Z9zFLvx0NcQrrFaaguPUAo8uiukLg0K\nvW5al32d+6893TyWNlFH4esLW5942PrEN/91sxm6CwV1ZX4e+vPn6m+fOwdDxkkYjx9r9q5SYKBS\n4F2i69bT64sdiX0A2YNLMC7C0iYihYcHpB49IfXo2fzXbTboLhbWTen1yy/224b/5kHIzmz2rqF6\nPaTQMEjhEZAiIhq/D49s9DG8vdvwSbo/ljYROUevhxTVGVJUZ4hDh139dVmGUFzcYPlFKXPv4iKI\n5wuUrXPP5ELIymjx20h+/pDCwyFFRCrvHcVu/1wEpIhIyMHBHXJLXZY2EbmGIEAOCYEYEgI0uPTf\nO8wPpQ1OrxMqK6C7dBG6ixfr3hdCd+lS3fv6z+v/e+aaa+xA3Q9Qw8KbTO0RjlJvWPJosEmUu2Np\nE1G7kn39YPP1U86AaYnVCt2Vy1eVeePCvwjD96cgZKS3+FBSQGD91B4RAXTtAm9PX0jBIZCCgyEH\nBUMKCoYcEgIpKFjTJc/SJiJtMhohRXZSziNviSxDqChvMq03md7r3gy5px13a/71cOoe0ttbKfSg\nukIPaVDswcH1X6u7LQcHQ/bxbZeLmFjaROTeBAGyfwBs/gHKKw61xGKB7nIRQsQqlJ45D11JMYSS\nYuiuXGl0Wygpga6kGIYzeRCqnXsRBtlobDSty0H1hS4FBSsTfXDj4pcDAq97XZ6lTUQdh8kEKaoz\nEOYHa9dezt3HbFYKvbgYuuIrSrHbbxcX15e9/eOfLsBwKseph5Z1OsiBgZCCQ4AG/wtoCUubiKgl\nHh7KEk1kJ9icvY8oQigtVQq9boq/ZvHX3XYWS5uIyNUMBsihobCFhgJOvkxkmJMP3fFOciQicmMs\nbSIiN8LSJiJyIyxtIiI30uoPIi0WCx588EFYrVbYbDZMmjQJixcvbo9sRETURKulbTKZsGHDBnh5\necFms+H+++/HqFGjkJiY2B75iIioAaeWR7y8vAAoU7coim0aiIiIrs2p0pYkCSkpKUhOTkZycjKn\nbCIilTh1cY1Op8O2bdtQWVmJX/3qV8jLy0NsbAs7dHXvjmDp6i0Vi49nN3t48KD+zX7epcfrhKsy\nqZoHuCqT6nmaZNJEngaZNJPH7tyPmsrD42+N41tzXVdE+vr6YsiQITh48GDLpQ1Ar7t6t6trvkR8\nM8e2xfFNM6mdp2kmLeRpmEkreeyZtJSnxfuolMd+/FX3UznPVffVQJ5GH2skj7MEWW5hl3EAxcXF\nMBqN8PPzQ21tLRYuXIhFixZh9OjRLT5wUYNNz7UgLMyPmZzATM7TYi5mco5WMzmj1Um7qKgIzzzz\nDCRJgiRJmDp1aquFTUREbaPV0u7duze2bt3aHlmIiKgVvCKSiMiNsLSJiNwIS5uIyI2wtImI3AhL\nm4jIjbC0iYjcCEubiMiNsLSJiNwIS5uIyI2wtImI3AhLm4jIjbC0iYjcCEubiMiNsLSJiNwIS5uI\nyI2wtImI3AhLm4jIjbC0iYjcCEubiMiNsLSJiNwIS5uIyI2wtImI3AhLm4jIjbC0iYjcCEubiMiN\nsLSJiNwIS5uIyI2wtImI3AhLm4jIjbC0iYjcCEubiMiNsLSJiNwIS5uIyI2wtImI3AhLm4jIjbC0\niYjciKG1AwoLC5GamorLly9Dr9dj9uzZmDdvXntkIyKiJlotbb1ej2effRbx8fGoqqrC3XffjeTk\nZMTExLRHPiIiaqDV5ZGwsDDEx8cDAHx8fBATE4NLly61eTAiIrrada1p5+fn47vvvkNiYmJb5SEi\noha0ujxiV1VVhaVLl2LlypXw8fFp8dju3QFJuvqY48ermj1+0KDmH8+Vx+t0V2dSMw+AqzKpnadp\nJi3kaZhJK3nszp1r9tOq5eHxt8bxrXGqtEVRxNKlS3HXXXdhwoQJTj2wTnf1EB8W5neNY5t/DFcf\n3zST2nmaZtJCnoaZtJLHnklLeVq6j1p57Mc3vZ/aeZre1kKehh9rJY+zBFmW5dYOSk1NRVBQEJ59\n9lmnH7ioqOKGArWVsDA/ZnICMzlPi7mYyTlazeSMVte0jx8/ju3bt+Obb75BSkoKZs6ciQMHDtx0\nQCIiun6tLo8MGjQIp06dao8sRETUCl4RSUTkRljaRERuhKVNRORGWNpERG6EpU1E5EacviKSiIiu\nnyQBZWVASYmA4uL6t5ISwfG5khIBn37q3OOxtImInGSxoFHRNizgpkWsfAyUlgqQJMFlGVjaRNTh\nyDJQWYmrCvdaU7D981VVzpWvXi8jKEhGaKiMuDgJQUEygoOVt6Ag1L2XHe+DgmQAvk49NkubiG4Z\nNTVAUZGAixcFXLqkw6VLyu2iIuVj5fMCLl8GLBbnLhv39lZKtUcPqVHR1pdw4/INCZHh5wcIrhuu\nG2FpE5GmSZIyEV+6JDhK2F7IDd8uXtShvLzlpvTwkBERIWPgQMDfX2yxfO23vbza6Yk6iaVNRKqo\nqUGjwm1cwvVTcVG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TIWhoLwRBELBw4ULMmjULH374odpxkJ+fj6CgIDz77LOYOXMmVq1a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\n",
+            "text/plain": [
+              "\u003cmatplotlib.figure.Figure at 0x7f5be4b8ec50\u003e"
+            ]
+          },
+          "metadata": {
+            "tags": []
+          },
+          "output_type": "display_data"
+        }
+      ],
+      "source": [
+        "model = Model()\n",
+        "\n",
+        "# Collect the history of W-values and b-values to plot later\n",
+        "Ws, bs = [], []\n",
+        "epochs = range(10)\n",
+        "for epoch in epochs:\n",
+        "  Ws.append(model.W.numpy())\n",
+        "  bs.append(model.b.numpy())\n",
+        "  current_loss = loss(model(inputs), outputs)\n",
+        "\n",
+        "  train(model, inputs, outputs, learning_rate=0.1)\n",
+        "  print('Epoch %2d: W=%1.2f b=%1.2f, loss=%2.5f' %\n",
+        "        (epoch, Ws[-1], bs[-1], current_loss))\n",
+        "\n",
+        "# Let's plot it all\n",
+        "plt.plot(epochs, Ws, 'r',\n",
+        "         epochs, bs, 'b')\n",
+        "plt.plot([TRUE_W] * len(epochs), 'r--',\n",
+        "         [TRUE_b] * len(epochs), 'b--')\n",
+        "plt.legend(['W', 'b', 'true W', 'true_b'])\n",
+        "plt.show()\n",
+        "  "
+      ]
+    },
+    {
+      "cell_type": "markdown",
+      "metadata": {
+        "colab_type": "text",
+        "id": "vPnIVuaSJwWz"
+      },
+      "source": [
+        "## Next Steps\n",
+        "\n",
+        "In this tutorial we covered `Variable`s and built and trained a simple linear model using the TensorFlow primitives discussed so far.\n",
+        "\n",
+        "In theory, this is pretty much all you need to use TensorFlow for your machine learning research.\n",
+        "In practice, particularly for neural networks, the higher level APIs like `tf.keras` will be much more convenient since it provides higher level building blocks (called \"layers\"), utilities to save and restore state, a suite of loss functions, a suite of optimization strategies etc. \n",
+        "\n",
+        "The [next tutorial](TODO) will cover these higher level APIs."
+      ]
+    }
+  ],
+  "metadata": {
+    "colab": {
+      "collapsed_sections": [],
+      "default_view": {},
+      "name": "Training Models",
+      "provenance": [],
+      "version": "0.3.2",
+      "views": {}
+    }
+  },
+  "nbformat": 4,
+  "nbformat_minor": 0
+}