{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "88d462e9", "metadata": {}, "outputs": [], "source": [ "import os \n", "os.environ['TF_CPP_MIN_LOG_LEVEL'] = '3' \n", "import numpy as np\n", "from sklearn.preprocessing import StandardScaler\n", "import tensorflow as tf\n", "import tensorflow_probability as tfp\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-paper')\n", "from data_loader import load_data\n", "from data_preprocesser import preprocess_data\n", "from cubic import Cubic" ] }, { "cell_type": "code", "execution_count": 27, "id": "34e11a77", "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data successfully loaded...\n", "\n", "Data successfully preprocessed...\n", "\n" ] }, { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "TensorSpec(shape=(None, 2), dtype=tf.float32, name=None)\n", "TensorSpec(shape=(None, 2), dtype=tf.float32, name=None)\n", "\n", "Epoch 0...\n", "Epoch 1...\n", "Epoch 2...\n", "Epoch 3...\n", "Epoch 4...\n", "Epoch 5...\n", "Epoch 6...\n", "Epoch 7...\n", "Epoch 8...\n", "Epoch 9...\n" ] }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def main():\n", " \n", " tfd = tfp.distributions\n", " tfb = tfp.bijectors\n", " \n", " \"\"\" load data \"\"\"\n", "\n", " filename = 'prostate.xls'\n", " directory = '/Users/kaanguney.keklikci/Data/'\n", "\n", " loader = load_data(filename, directory)\n", " loader.create_directory(directory)\n", " data = loader.read_data(directory, filename)\n", " print('Data successfully loaded...\\n')\n", "\n", " \"\"\" preprocess data \"\"\"\n", "\n", " fillna_vals = ['sz', 'sg', 'wt']\n", " dropna_vals = ['ekg', 'age']\n", " drop_vals = ['patno', 'sdate']\n", "\n", " preprocesser = preprocess_data(StandardScaler(), fillna_vals, dropna_vals, drop_vals)\n", " data = preprocesser.dropna_features(data)\n", " data = preprocesser.impute(data)\n", " data = preprocesser.drop_features(data)\n", " data = preprocesser.encode_categorical(data)\n", " data = preprocesser.scale(data)\n", " print('Data successfully preprocessed...\\n')\n", " \n", " \"\"\" define the base distributon as bivariate gaussian \"\"\"\n", "\n", " n = 10000\n", " base_dist = tfd.MultivariateNormalDiag(loc=[0.,0.], scale_diag=[1.,1.])\n", " \n", " \"\"\" instantiate the bijector \"\"\"\n", " \n", " a = -0.1\n", " b = 5.\n", " bijector = Cubic(a, b, validate_args=True)\n", "\n", " x = np.linspace(start=-4, stop=4, num=n).astype(np.float32).reshape(-1, 2)\n", " plt.title('Forward transformation')\n", " plt.plot(x, bijector.forward(x))\n", " plt.show()\n", " \n", " plt.plot(x, bijector.inverse(x))\n", " plt.title('Inverse transformation')\n", " plt.show()\n", " \n", " plt.plot(x, bijector.forward_log_det_jacobian(x))\n", " plt.title('Jacobian determinant')\n", " plt.show()\n", " \n", " plt.plot(x, bijector.inverse_log_det_jacobian(x))\n", " plt.title('Inverse Jacobian determinant')\n", " plt.show()\n", " \n", " \"\"\" create transformed distribution \"\"\"\n", " tfd_dist = tfd.TransformedDistribution(distribution=base_dist, \n", " bijector=bijector\n", " )\n", " # prior training\n", "\n", " plt.figure(figsize=(12,5))\n", " plt.plot(tfd_dist.prob(x), label='Trainable')\n", " plt.plot(base_dist.prob(x), label='Base')\n", " plt.title('Target and Trainable distribution')\n", " plt.legend()\n", " plt.show()\n", " \n", " # sample, batch -- train, validation \n", " \n", " x_train = base_dist.sample(10000)\n", " x_train = tf.data.Dataset.from_tensor_slices(x_train)\n", " x_train = x_train.batch(int(n/2))\n", "\n", " x_valid = base_dist.sample(1000)\n", " x_valid = tf.data.Dataset.from_tensor_slices(x_valid)\n", " x_valid = x_valid.batch(int(n/2))\n", "\n", " print(x_train.element_spec)\n", " print(x_valid.element_spec)\n", " print()\n", " \n", " # instantiate trainable bijector \n", "\n", " trainable_bijector = tfb.Invert(Cubic(tf.Variable(a, \n", " name='alpha'), \n", " tf.Variable(b, \n", " name='beta')\n", " ))\n", "\n", " # instantiate trainable distribution \n", "\n", " trainable_dist = tfd.TransformedDistribution(tfd_dist, \n", " trainable_bijector\n", " )\n", " \n", " # Train the bijector\n", " \n", " num_epochs = 10\n", " opt = tf.keras.optimizers.Adam()\n", " train_losses = []\n", " valid_losses = []\n", " norm = 1e3\n", "\n", " for epoch in range(num_epochs):\n", " print(\"Epoch {}...\".format(epoch))\n", " train_loss = tf.keras.metrics.Mean()\n", " val_loss = tf.keras.metrics.Mean()\n", " for train_batch in x_train:\n", " with tf.GradientTape() as tape:\n", " tape.watch(trainable_bijector.trainable_variables)\n", " loss = -trainable_dist.log_prob(train_batch)\n", " train_loss(loss)\n", " grads = tape.gradient(loss, trainable_bijector.trainable_variables)\n", " grads, _ = tf.clip_by_global_norm(grads, norm) \n", " # grads = tf.reshape(tf.nn.softmax(grads[-1], axis=1), [2])\n", " # note that both alternatives work almost identically\n", " opt.apply_gradients(zip(grads, trainable_bijector.trainable_variables))\n", " train_losses.append(train_loss.result().numpy())\n", " # validation\n", " for valid_batch in x_valid:\n", " loss = -trainable_dist.log_prob(valid_batch)\n", " val_loss(loss)\n", " valid_losses.append(val_loss.result().numpy())\n", " \n", " # Plot the learning curves\n", "\n", " plt.plot(train_losses, label='train')\n", " plt.plot(valid_losses, label='valid')\n", " plt.legend()\n", " plt.xlabel(\"Epochs\")\n", " plt.ylabel(\"Negative log likelihood\")\n", " plt.title(\"Training and validation loss curves\")\n", " plt.show()\n", " \n", " # Plot the data and learned distributions\n", "\n", " plt.figure(figsize=(12,5))\n", " plt.plot(trainable_dist.prob(x), label='Learned')\n", " plt.plot(base_dist.prob(x), label='Data')\n", " plt.legend()\n", " plt.show()\n", " \n", " ### best result obtained with tuning displayed as above\n", " ### radial flows converge fast, more epochs overfit\n", " ### DO NOT CHANGE validate_args=True\n", "\n", "if __name__ == '__main__':\n", " main()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 5 }