MyFirstNN.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.5.2"
    },
    "colab": {
      "name": "MyFirstNN.ipynb",
      "provenance": [],
      "toc_visible": true,
      "include_colab_link": true
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/zebrassimo/NN/blob/master/MyFirstNN.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Lf9lQVXQ9D3y",
        "colab_type": "text"
      },
      "source": [
        "# Iris data investigation\n",
        "Thy is my first try to make a ML of the iris dataset, so let's load it first."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ScvJSxAk54Ie",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 156
        },
        "outputId": "a6ea367c-76b3-40b1-f419-1187882b5358"
      },
      "source": [
        "%matplotlib inline\n",
        "import matplotlib.pyplot as plt\n",
        "#import tensorflow as tf\n",
        "import tensorflow.compat.v1 as tf\n",
        "tf.disable_v2_behavior()\n",
        "from sklearn import datasets\n",
        "iris=datasets.load_iris()\n",
        "\n",
        "print(\"targets: \"+str(iris.target_names))\n",
        "print(\"features: \"+str(iris.feature_names))\n",
        "print(\"TF Version: \", tf.__version__)\n",
        "print(\"GPU available: \", tf.test.is_gpu_available())"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/tensorflow/python/compat/v2_compat.py:96: disable_resource_variables (from tensorflow.python.ops.variable_scope) is deprecated and will be removed in a future version.\n",
            "Instructions for updating:\n",
            "non-resource variables are not supported in the long term\n",
            "targets: ['setosa' 'versicolor' 'virginica']\n",
            "features: ['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n",
            "TF Version:  2.3.0\n",
            "GPU available:  True\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "H0FF3G2t54Iq",
        "colab_type": "text"
      },
      "source": [
        "Now that the data is loaded, let's print some charts.\n",
        "\n",
        "data[:,i] means that we're using all data \n",
        "\n",
        "check out the users guide of matplotlib: https://matplotlib.org/users/index.html"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aEzY7iZ79Z8M",
        "colab_type": "text"
      },
      "source": [
        "#Check what it looks like"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JC3xf2ib54Is",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "2805caeb-3994-42c8-cfa0-0a416b5d23b6"
      },
      "source": [
        "import matplotlib.font_manager\n",
        "matplotlib.font_manager._rebuild()\n",
        "matplotlib.font_manager.findSystemFonts(fontpaths=None, fontext='ttf')\n",
        "\n",
        "for i in range(4):\n",
        "    print(i)\n",
        "    with plt.xkcd():\n",
        "        plt.scatter(iris.data[:,i-1],iris.data[:,i],c=iris.target, cmap=plt.cm.Paired)\n",
        "        plt.xlabel(iris.feature_names[i-1])\n",
        "        plt.ylabel(iris.feature_names[i])\n",
        "        #plt.legend()\n",
        "        plt.show()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "1\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "2\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "3\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gY3jZ9FK54Iy",
        "colab_type": "text"
      },
      "source": [
        "Let's define the activation function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ESrXmSNk54Iz",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 271
        },
        "outputId": "2b8626bc-ef91-4d98-9b13-3d230848d461"
      },
      "source": [
        "import numpy as np\n",
        "def sigmoid(a):\n",
        "        return 1/(1+np.exp(-a))\n",
        "\n",
        "x = np.linspace(-7, 7, 1000)\n",
        "\n",
        "#plt.subplots()\n",
        "with plt.xkcd():\n",
        "    plt.plot(x,sigmoid(x), label=\"sigmoid\")\n",
        "    plt.legend()\n",
        "    plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KaLVtOCQ54I5",
        "colab_type": "text"
      },
      "source": [
        "now, we're multiplying the leaf sizes (features) with a static multiplication matrix"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "30CGlvKL54I6",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "mult_matrix = np.array([[-0.2,0.2],[-1.0,1.0]])\n",
        "bias=np.array([0.1,-0.1])\n",
        "\n",
        "for features in iris.data:\n",
        "    our_feature =[features[2]-3,features[2]-2]\n",
        "    \n",
        "    a=np.matmul(our_feature,mult_matrix)\n",
        "    #print(\"activations before: \"+str(a))\n",
        "    a=a+bias #bias must be added before the sigmoid function is called\n",
        "    a=sigmoid(a)\n",
        "    #print(\"activations : \"+str(a))\n",
        "\n"
      ],
      "execution_count": 15,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "rDeaHecf54JA",
        "colab_type": "text"
      },
      "source": [
        "The following executes a simple forward pass"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vgslRxz554JB",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 68
        },
        "outputId": "7cdd9e54-9c84-4914-bf50-364269b85a97"
      },
      "source": [
        "n_input=len(iris.data[0])\n",
        "n_output=3\n",
        "input_shape=[None, n_input]\n",
        "learningrate=0.1\n",
        "\n",
        "ipph      = tf.placeholder(dtype=tf.float32,shape=input_shape, name=\"ipph\")\n",
        "\n",
        "weights   = tf.Variable(tf.random_normal([n_input,n_output]), name=\"weights\")\n",
        "biases    = tf.Variable(tf.zeros([n_output]), name=\"biases\")\n",
        "print(weights)\n",
        "print(biases)\n",
        "\n",
        "layer1    = tf.matmul(ipph,weights)\n",
        "layer2    = tf.add(layer1,biases)\n",
        "output_layer  = tf.nn.sigmoid(layer2)\n",
        "print(\"output_l: \"+str(output_layer))\n",
        "\n",
        "lpph      = tf.placeholder(dtype=tf.float32,shape=[None, n_output], name= \"labels_placeholder\")\n",
        "cost      = tf.losses.mean_squared_error(lpph,output_layer)\n",
        "#print(\"cost: \"+str(cost))\n",
        "optimizer = tf.train.GradientDescentOptimizer(learning_rate=learningrate).minimize(cost) #https://www.tensorflow.org/api_docs/python/tf/train/GradientDescentOptimizer\n",
        "#print(\"optimizer: \"+str(optimizer))"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "<tf.Variable 'weights:0' shape=(4, 3) dtype=float32_ref>\n",
            "<tf.Variable 'biases:0' shape=(3,) dtype=float32_ref>\n",
            "output_l: Tensor(\"Sigmoid:0\", shape=(?, 3), dtype=float32)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RmmiPbMT54JH",
        "colab_type": "text"
      },
      "source": [
        "Some initialization needs to occur"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g9GnLcH154JI",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "init    = tf.global_variables_initializer()\n",
        "sess    = tf.Session()\n",
        "sess.run(init)"
      ],
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "maqmZLiW54JP",
        "colab_type": "text"
      },
      "source": [
        "Scaling the activations "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ANdd-Ltq54JQ",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from sklearn import preprocessing\n",
        "from sklearn import model_selection \n",
        "x_train, x_test, y_train, y_test = model_selection.train_test_split(iris.data, iris.target, test_size=0.2, random_state=42)\n",
        "scaler = preprocessing.StandardScaler().fit(iris.data)\n",
        "scaled_data = scaler.transform(iris.data)\n",
        "scaled_data_test = scaler.transform(x_test)"
      ],
      "execution_count": 18,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "udM2d9zW54JW",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "mydata = list(zip(scaled_data, iris.target))"
      ],
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cbg3UzD754Jc",
        "colab_type": "text"
      },
      "source": [
        "the amount of inputs to train our network with"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cKV9iHAO54Jd",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "batch_size = 10"
      ],
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vQy9_uNG54Ji",
        "colab_type": "text"
      },
      "source": [
        "how many updates we want to apply on our network"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W6c_XI8X54Jj",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "iterations = 4000"
      ],
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "collapsed": true,
        "id": "CN7_uHko54Jp",
        "colab_type": "text"
      },
      "source": [
        "Now we need to to the back propagation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "o5erHerf54Jq",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "28163398-9d9e-46f6-a3ab-a853b6a7309e"
      },
      "source": [
        "import random\n",
        "\n",
        "history_loss = list()\n",
        "for _ in range(iterations):\n",
        "    inputdata = list()\n",
        "    output_data = list()\n",
        "    for _ in range(batch_size):\n",
        "        input_output_pairs = random.choice(mydata)\n",
        "        inputdata.append(input_output_pairs[0])\n",
        "        output_one_hot = [0.0,0.0,0.0]\n",
        "        output_one_hot[input_output_pairs[1]] = 1.0\n",
        "        output_data.append(output_one_hot)\n",
        "\n",
        "    res_optimizer, res_cost = sess.run([optimizer, cost], feed_dict={ipph: inputdata, lpph: output_data})\n",
        "    print(res_cost)\n",
        "    history_loss.append(res_cost)\n",
        "\n",
        "with plt.xkcd():\n",
        "    plt.plot(history_loss)\n",
        "        "
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
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            "0.10552137\n",
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            "0.10503205\n",
            "0.09377865\n",
            "0.061480556\n",
            "0.06470875\n",
            "0.12793471\n",
            "0.037964027\n",
            "0.025999865\n",
            "0.057451483\n",
            "0.10914867\n",
            "0.08022876\n",
            "0.043649245\n",
            "0.062075373\n",
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            "0.04416873\n",
            "0.08089276\n",
            "0.02628907\n",
            "0.1164097\n"
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          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}