LGM_Task3_HM&KPLocalEdited.ipynb

{"cells":[{"cell_type":"markdown","metadata":{"id":"Ru1OZFpu6qh8"},"source":["# Imports"]},{"cell_type":"code","execution_count":1,"metadata":{"id":"Gt8GrLMq502Z","executionInfo":{"status":"ok","timestamp":1682685355400,"user_tz":-120,"elapsed":9181,"user":{"displayName":"Kai Ponel","userId":"09877000230544749752"}}},"outputs":[],"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","import tensorflow as tf\n","import tensorflow_probability as tfp\n","tfd = tfp.distributions"]},{"cell_type":"markdown","metadata":{"id":"wHJ0I3006sOy"},"source":["# Data (Loading MNist and \"Binarize\" it)"]},{"cell_type":"code","execution_count":4,"metadata":{"id":"SuFGu1eg61-f","executionInfo":{"status":"ok","timestamp":1682685625730,"user_tz":-120,"elapsed":912,"user":{"displayName":"Kai Ponel","userId":"09877000230544749752"}}},"outputs":[],"source":["# Load MNIST dataset\n","(x_train, y_train), (x_test, y_test) = tf.keras.datasets.mnist.load_data()\n","\n","# Binarize the dataset\n","x_train = tf.where(x_train >= 128, 1, 0)\n","x_test = tf.where(x_test >= 128, 1, 0)\n","\n","# Flatten the images\n","x_train = tf.reshape(x_train, [-1, 784])\n","x_test = tf.reshape(x_test, [-1, 784])\n","\n","# Create a tf.data.Dataset from the training data\n","train_dataset = tf.data.Dataset.from_tensor_slices(x_train)\n","\n","# Set the batch size\n","m = 256\n","\n","# Create batches of size m\n","train_dataset = train_dataset.batch(m).repeat()"]},{"cell_type":"code","source":["# Take one batch of the dataset\n","for images in train_dataset.take(1):\n","    # Reshape the images back to their original shape\n","    images = tf.reshape(images, [-1, 28, 28])\n","    \n","    # Plot the images\n","    fig, axes = plt.subplots(4, 8)\n","    for i, ax in enumerate(axes.flat):\n","        ax.imshow(images[i], cmap='gray')\n","        ax.axis('off')\n","    plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":379},"id":"_TVSlvQR3JGx","executionInfo":{"status":"ok","timestamp":1682685628434,"user_tz":-120,"elapsed":1326,"user":{"displayName":"Kai Ponel","userId":"09877000230544749752"}},"outputId":"b06bb449-cf56-41fe-ef70-5719e77ecf4b"},"execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 32 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"markdown","metadata":{"id":"bPhUeG5x7liI"},"source":["# The Real Deal"]},{"cell_type":"markdown","metadata":{"id":"O6O2xM3M8Mws"},"source":["## Global declaration"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"Ebu971xe8NDD"},"outputs":[],"source":["n_hidden = 128\n","k_gibbs_steps = 50\n","learning_rate = 0.001\n","train_iters = 200\n","\n","b = tf.Variable(np.random.uniform(-.5, .5, size=(784, 1)))\n","c = tf.Variable(np.random.uniform(-.5, .5, size=(n_hidden, 1)))\n","W = tf.Variable(np.random.uniform(-.5, .5, size=(784, n_hidden)))"]},{"cell_type":"markdown","metadata":{"id":"2B2RgZpx7vL1"},"source":["## Positive Phase "]},{"cell_type":"code","execution_count":null,"metadata":{"id":"d8I_Tjc99WrQ"},"outputs":[],"source":["def sample_H_given_V(V):\n","  VW = tf.matmul(V, W)\n","  c_broadcasted = tf.broadcast_to(tf.transpose(c), tf.shape(VW))\n","  return tf.nn.sigmoid(VW + c_broadcasted) # 64*784 x 784 x 100 + (64*100) - This works!\n","def sample_V_given_H(H):\n","  HW = tf.matmul(H, tf.transpose(W))\n","  c_broadcasted = tf.broadcast_to(tf.transpose(b), tf.shape(HW))\n","  return tf.nn.sigmoid(HW + c_broadcasted)\n","  # return np.asarray(tf.nn.sigmoid(tf.matmul(H,tf.transpose(W))+c))\n","def energy_function_single_input(v,h): #This is working for single inputs, can be used to verify future results\n","  return -tf.matmul(tf.transpose(b),v)-tf.matmul(tf.transpose(c),h)-tf.matmul(tf.matmul(tf.transpose(v),W),h) \n","def energy_function_batch(V,H): # This is producing the same results as the single function.\n","  return -tf.matmul(V,b)-tf.matmul(H,c)-tf.reduce_sum(tf.matmul(V, W) * H, axis=1)"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"zefAA65y7lA7"},"outputs":[],"source":["def positive_training(data):\n","  with tf.GradientTape() as tape:\n","    tape.watch([W,b,c])\n","    V = tf.constant(tf.cast(data, tf.float64), dtype=tf.float64)\n","    print(tf.math.reduce_mean(sample_H_given_V(V)))\n","    H = tf.constant(tf.cast(tfd.Bernoulli(probs=sample_H_given_V(V)).sample(), tf.float64), dtype=tf.float64)\n","    E = -energy_function_batch(V,H)\n","    #print(\"Energy, positive training: {}\".format(E))\n","\n","  grads = tape.gradient(E, [W,b,c])\n","  return V,H,grads"]},{"cell_type":"markdown","metadata":{"id":"zIJNrD3iwpTN"},"source":["## Negative Phase (Buuuuuh)"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"xRqdqU8lwpTN"},"outputs":[],"source":["def negative_training_basic():\n","    #1. Get m samples\n","\n","    # Create an m x 784 array of random values\n","    V_mc = tf.random.uniform((m, 784), dtype=tf.float64)\n","\n","    # Normalize the columns so that they sum to 1\n","    V_mc = V_mc / tf.reduce_sum(V_mc, axis=0)\n","\n","    with tf.GradientTape() as tape:\n","        H = []\n","        tape.watch([W,b,c])\n","        for i in range(k_gibbs_steps):\n","            # 1: Given V, calc H:\n","            H = tf.cast(tfd.Bernoulli(probs=sample_H_given_V(V_mc)).sample(), tf.float64)\n","            V_mc = tf.cast(tfd.Bernoulli(probs=sample_V_given_H(H)).sample(), tf.float64)\n","            E = -energy_function_batch(V_mc,H)\n","            #print(\"Energy, negative training: {}\".format(E))\n","    grads = tape.gradient(E,[W,b,c])\n","    return V_mc, H, grads"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"TfqBOQhVwpTN"},"outputs":[],"source":["def negative_training_cd(data):\n","     #1. Get m samples\n","\n","    # Create an m x 784 array of random values\n","    V_mc = tf.constant(tf.cast(data, tf.float64), dtype=tf.float64)\n","\n","    with tf.GradientTape() as tape:\n","        H = []\n","        tape.watch([W,b,c])\n","        for i in range(k_gibbs_steps):\n","            # 1: Given V, calc H:\n","            H = tf.cast(tfd.Bernoulli(probs=sample_H_given_V(V_mc)).sample(), tf.float64)\n","            V_mc = tf.cast(tfd.Bernoulli(probs=sample_V_given_H(H)).sample(), tf.float64)\n","            E = -energy_function_batch(V_mc,H)\n","            #print(\"Energy, negative training: {}\".format(E))\n","    grads = tape.gradient(E,[W,b,c])\n","    return V_mc, H, grads"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"Oxsdm4EqwpTO"},"outputs":[],"source":["def negative_training_pcd(V_prev):\n","    if V_prev is None:\n","        # Create an m x 784 array of random values\n","        V_prev = tf.random.uniform((m, 784), dtype=tf.float64)\n","\n","        # Normalize the columns so that they sum to 1\n","        V_prev = V_prev / tf.reduce_sum(V_prev, axis=0)\n","    with tf.GradientTape() as tape:\n","        H = []\n","        tape.watch([W,b,c])\n","        for i in range(k_gibbs_steps):\n","            # 1: Given V, calc H:\n","            H = tf.cast(tfd.Bernoulli(probs=sample_H_given_V(V_prev)).sample(), tf.float64)\n","            V_prev = tf.cast(tfd.Bernoulli(probs=sample_V_given_H(H)).sample(), tf.float64)\n","            E = -energy_function_batch(V_prev,H)\n","            #print(\"Energy, negative training: {}\".format(E))\n","    grads = tape.gradient(E,[W,b,c])\n","    return V_prev, H, grads"]},{"cell_type":"markdown","metadata":{"id":"2fGPhQAkwpTO"},"source":["## Putting everything together + Updating parameters"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"CDrdpRZJwpTO","outputId":"20653071-b8c7-4d86-8d4c-73140fca69bf"},"outputs":[{"name":"stdout","output_type":"stream","text":["tf.Tensor(0.5301967568930442, shape=(), dtype=float64)\n","0\n","tf.Tensor(0.1403471855988794, shape=(), dtype=float64)\n","1\n","tf.Tensor(0.11772701755574999, shape=(), dtype=float64)\n","2\n","tf.Tensor(0.1619016705729972, shape=(), dtype=float64)\n","3\n","tf.Tensor(0.2022560531092928, shape=(), dtype=float64)\n","4\n","tf.Tensor(0.09210740408771612, shape=(), dtype=float64)\n","5\n","tf.Tensor(0.14140202657315576, shape=(), dtype=float64)\n","6\n","tf.Tensor(0.12739541974460802, shape=(), dtype=float64)\n","7\n","tf.Tensor(0.18078435325168724, shape=(), dtype=float64)\n","8\n","tf.Tensor(0.11756288076103996, shape=(), dtype=float64)\n","9\n","tf.Tensor(0.15981934635456946, shape=(), dtype=float64)\n","10\n","tf.Tensor(0.11890613742419642, shape=(), 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dtype=float64)\n","184\n","tf.Tensor(0.12181770046014592, shape=(), dtype=float64)\n","185\n","tf.Tensor(0.1231675545613414, shape=(), dtype=float64)\n","186\n","tf.Tensor(0.13402225550583963, shape=(), dtype=float64)\n","187\n","tf.Tensor(0.12817754535446002, shape=(), dtype=float64)\n","188\n","tf.Tensor(0.12428879494951697, shape=(), dtype=float64)\n","189\n","tf.Tensor(0.12616299887578108, shape=(), dtype=float64)\n","190\n","tf.Tensor(0.12982221206616118, shape=(), dtype=float64)\n","191\n","tf.Tensor(0.12105907426012279, shape=(), dtype=float64)\n","192\n","tf.Tensor(0.11604374717583678, shape=(), dtype=float64)\n","193\n","tf.Tensor(0.12719874752354648, shape=(), dtype=float64)\n","194\n","tf.Tensor(0.1321942611284314, shape=(), dtype=float64)\n","195\n","tf.Tensor(0.1223975769237064, shape=(), dtype=float64)\n","196\n","tf.Tensor(0.12528337843559587, shape=(), dtype=float64)\n","197\n","tf.Tensor(0.13175101568378755, shape=(), dtype=float64)\n","198\n","tf.Tensor(0.12710608066566392, shape=(), dtype=float64)\n","199\n","tf.Tensor(0.1189009359664776, shape=(), dtype=float64)\n","200\n"]}],"source":["V_n = None\n","for i, data in enumerate(train_dataset):\n","    V_p, H_p, grads_p = positive_training(data)\n","    #V_n, H_n, grads_n = negative_training_pcd(V_n)\n","    V_n, H_n, grads_n = negative_training_cd(data)\n","\n","\n","    W_grad = (grads_p[0] - grads_n[0])/m\n","    b_grad = (grads_p[1] - grads_n[1])/m\n","    c_grad = (grads_p[2] - grads_n[2])/m\n","\n","    W = W + learning_rate*W_grad\n","    b = b + learning_rate*b_grad\n","    c = c + learning_rate*c_grad\n","    print(i)\n","    if i==train_iters:\n","        break\n"]},{"cell_type":"markdown","metadata":{"id":"w5DUXvIXwpTO"},"source":["## Let's do some sampling now!"]},{"cell_type":"code","execution_count":null,"metadata":{"id":"VGnikeOMwpTO","outputId":"3673d897-7db5-478e-9581-974fda229bd3"},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 640x480 with 32 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":[" # Create an m x 784 array of random values\n","V_mc = tf.random.uniform((32, 784), dtype=tf.float64)\n","\n","# Normalize the columns so that they sum to 1\n","V_mc = V_mc / tf.reduce_sum(V_mc, axis=0)\n","H = []\n","for i in range(k_gibbs_steps):\n","    # 1: Given V, calc H:\n","    H = tf.cast(tfd.Bernoulli(probs=sample_H_given_V(V_mc)).sample(), tf.float64)\n","    V_mc = tf.cast(tfd.Bernoulli(probs=sample_V_given_H(H)).sample(), tf.float64)\n","\n","x_reshaped = tf.reshape(V_mc, (32, 28, 28))\n","# Create a figure and axes\n","fig, axes = plt.subplots(4, 8)\n","\n","# Loop over the rows and columns of the grid\n","for i in range(4):\n","    for j in range(8):\n","        # Get the index of the image to display\n","        index = i * 8 + j\n","        \n","        # Display the image on the current axis\n","        axes[i, j].imshow(x_reshaped[index], cmap='gray')\n","        axes[i, j].axis('off')\n","\n","# Show the figure\n","plt.show()\n"]},{"cell_type":"markdown","metadata":{"id":"L9aYk_PgwpTO"},"source":[]},{"cell_type":"code","execution_count":null,"metadata":{"id":"jRrTR_3uwpTO"},"outputs":[],"source":[]}],"metadata":{"accelerator":"GPU","colab":{"provenance":[]},"gpuClass":"standard","kernelspec":{"display_name":"Python 3","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":"3.10.8"}},"nbformat":4,"nbformat_minor":0}