Width_study.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "p4VMKRiX4ooS",
   "metadata": {
    "id": "p4VMKRiX4ooS"
   },
   "source": [
    "## Different imports and setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5f283300-faaf-4190-9141-1a440609dec0",
   "metadata": {
    "executionInfo": {
     "elapsed": 240,
     "status": "ok",
     "timestamp": 1633456269224,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "5f283300-faaf-4190-9141-1a440609dec0"
   },
   "outputs": [],
   "source": [
    "# Standard import\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7939e302-5114-4976-ac2e-50cae4bf4a08",
   "metadata": {
    "executionInfo": {
     "elapsed": 2587,
     "status": "ok",
     "timestamp": 1633456279008,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "7939e302-5114-4976-ac2e-50cae4bf4a08"
   },
   "outputs": [],
   "source": [
    "# Machine learning libraries\n",
    "from tensorflow import keras\n",
    "import tensorflow as tf\n",
    "from tensorflow.keras.optimizers import Adam\n",
    "from tensorflow.keras.losses import MeanSquaredError\n",
    "\n",
    "from tqdm.keras import TqdmCallback\n",
    "from tqdm.notebook import tqdm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "U9ToDb51-Skx",
   "metadata": {
    "executionInfo": {
     "elapsed": 431,
     "status": "ok",
     "timestamp": 1633456280677,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "U9ToDb51-Skx"
   },
   "outputs": [],
   "source": [
    "# Custom plots file and tensorflow models\n",
    "from Tools import Plot\n",
    "from Tools import Custom_models\n",
    "from Tools import Helpers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "EWhE1OE1MzDl",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 248,
     "status": "ok",
     "timestamp": 1633456282826,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "EWhE1OE1MzDl",
    "outputId": "b8e50e40-8a3b-492e-d8be-9f443c7263e3"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Not working on GPU !\n"
     ]
    }
   ],
   "source": [
    "device_name = tf.test.gpu_device_name()\n",
    "if device_name != '/device:GPU:0':\n",
    "  print('Not working on GPU !')\n",
    "else:\n",
    "  print('Found GPU at: {}'.format(device_name))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "94c22c2b-8717-48d3-8582-7a47014b017c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[PhysicalDevice(name='/physical_device:CPU:0', device_type='CPU')]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.config.list_physical_devices()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "el0Ux8NC4twA",
   "metadata": {
    "id": "el0Ux8NC4twA"
   },
   "source": [
    "## Set the seeds and extract the training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "daacbda2-823b-4502-a53d-eb3c7de68de5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the seed for reproducibility\n",
    "seed = 6\n",
    "np.random.seed(seed)\n",
    "tf.random.set_seed(seed*2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "72e04219-4b01-445c-a907-6fef368621ab",
   "metadata": {
    "executionInfo": {
     "elapsed": 265,
     "status": "ok",
     "timestamp": 1633456289887,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "72e04219-4b01-445c-a907-6fef368621ab"
   },
   "outputs": [],
   "source": [
    "# Load the data\n",
    "features_train, labels_train, features_val, labels_val, features_test, labels_test = Helpers.Load_and_split_val(\n",
    "    'Data/tanh_10D.txt', D=10, seed=seed, ratio_test=0.1, ratio_val=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "RUMo8Dbs5CR1",
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "executionInfo": {
     "elapsed": 5,
     "status": "ok",
     "timestamp": 1633456291017,
     "user": {
      "displayName": "cyril.vallez@orange.fr",
      "photoUrl": "https://lh3.googleusercontent.com/a/default-user=s64",
      "userId": "15783316175492714013"
     },
     "user_tz": -120
    },
    "id": "RUMo8Dbs5CR1",
    "outputId": "91089857-c150-4e3d-ade0-9c11119956b4"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "We will be training on 80000 examples !\n",
      "We will be validating on 10000 examples !\n",
      "And testing on 10000 examples !\n"
     ]
    }
   ],
   "source": [
    "print(f'We will be training on {len(features_train)} examples !')\n",
    "print(f'We will be validating on {len(features_val)} examples !')\n",
    "print(f'And testing on {len(features_test)} examples !')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b4122962-46fa-465d-bd56-fbce838b7a7f",
   "metadata": {},
   "source": [
    "## Define the parameters and train all the models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bbbe772d-de69-4066-93bf-631c900acfd2",
   "metadata": {},
   "outputs": [],
   "source": [
    "batches = [32, 64, 128]\n",
    "Ks = [40*i for i in range(1,6)]\n",
    "N_model = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5396e093-bd5f-4b6c-8bf2-774908e41e54",
   "metadata": {},
   "outputs": [],
   "source": [
    "learning_rate = 5e-5\n",
    "K_out = 1\n",
    "N_epochs = 250"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a8131ba3-5865-4531-8d55-bebde5919e3a",
   "metadata": {},
   "outputs": [],
   "source": [
    "for i, batch in tqdm(enumerate(batches)):\n",
    "    \n",
    "    for j, K in tqdm(enumerate(Ks)):\n",
    "        \n",
    "        for k in tqdm(range(N_model)):\n",
    "            \n",
    "            name = f'batch_{batch}-K_{K}-lr_{learning_rate:.1e}'\n",
    "            save_name = f'Saved_models/10D/2_layer_width_study/batch_{batch}-K_{K}-iter_{k}'\n",
    "            opt = Adam(learning_rate=learning_rate)\n",
    "            \n",
    "            model = Custom_models.Model_depth(K1=K, K_output=K_out, depth=2, name=name)\n",
    "            model.compile(loss=MeanSquaredError(), optimizer=opt)\n",
    "            \n",
    "            logger = tf.keras.callbacks.CSVLogger(save_name + '.csv')\n",
    "            saver = tf.keras.callbacks.ModelCheckpoint(save_name, save_best_only=True, mode='min')\n",
    "            \n",
    "            history = model.fit(features_train, labels_train, validation_data=(features_val, labels_val),\n",
    "                                epochs=N_epochs, batch_size=batch, validation_batch_size=batch, verbose=0,\n",
    "                                shuffle=True, initial_epoch=0, callbacks=[logger, saver])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0aff1775-48a3-4961-be81-7672355a18c9",
   "metadata": {},
   "source": [
    "# Study the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "bfdc184b-fcf0-4882-896b-d156f976554f",
   "metadata": {},
   "outputs": [],
   "source": [
    "batches = [32, 64, 128]\n",
    "Ks = [40*i for i in range(1,6)]\n",
    "N_model = 5\n",
    "\n",
    "MSE = np.zeros((len(batches), len(Ks), N_model))\n",
    "MAE = np.zeros((len(batches), len(Ks), N_model))\n",
    "MaAE = np.zeros((len(batches), len(Ks), N_model))\n",
    "\n",
    "for i, batch in enumerate(batches):\n",
    "    \n",
    "    for j, K in enumerate(Ks):\n",
    "        \n",
    "        for k in range(N_model):\n",
    "            \n",
    "            name = f'Saved_models/10D/2_layer_width_study/batch_{batch}-K_{K}-iter_{k}'\n",
    "            model = keras.models.load_model(name)\n",
    "            MSE[i,j,k] = Helpers.MSE(model, features_test, labels_test)\n",
    "            MAE[i,j,k] = Helpers.MAE(model, features_test, labels_test)\n",
    "            MaAE[i,j,k] = Helpers.MaAE(model, features_test, labels_test)\n",
    "            \n",
    "\n",
    "mean_MSE = np.mean(MSE, axis=-1)  \n",
    "mean_MAE = np.mean(MAE, axis=-1)  \n",
    "mean_MaAE = np.mean(MaAE, axis=-1) \n",
    "\n",
    "max_MSE = np.max(MSE, axis=-1)\n",
    "max_MAE = np.max(MAE, axis=-1)\n",
    "max_MaAE = np.max(MaAE, axis=-1)\n",
    "\n",
    "min_MSE = np.min(MSE, axis=-1)\n",
    "min_MAE = np.min(MAE, axis=-1)\n",
    "min_MaAE = np.min(MaAE, axis=-1)\n",
    "\n",
    "lower_error_MSE = mean_MSE - min_MSE\n",
    "upper_error_MSE = max_MSE - mean_MSE\n",
    "lower_error_MAE = mean_MAE - min_MAE\n",
    "upper_error_MAE = max_MAE - mean_MAE\n",
    "lower_error_MaAE = mean_MaAE - min_MaAE\n",
    "upper_error_MaAE = max_MaAE - mean_MaAE\n",
    "\n",
    "error_MSE = np.stack([lower_error_MSE, upper_error_MSE], axis=1)\n",
    "error_MAE = np.stack([lower_error_MAE, upper_error_MAE], axis=1)\n",
    "error_MaAE = np.stack([lower_error_MaAE, upper_error_MaAE], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "be20f8cf-5136-4156-b506-af11c7bb0128",
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.errorbar(Ks, mean_MSE[0,:], error_MSE[0,:], label='batch = 32', color='b', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MSE[1,:], error_MSE[1,:], label='batch = 64', color='r', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MSE[2,:], error_MSE[2,:], label='batch = 128', color='g', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('$K$')\n",
    "plt.ylabel('MSE')\n",
    "plt.legend()\n",
    "plt.grid(True,'minor',linestyle='--',linewidth=0.25)\n",
    "#plt.savefig('Figures/10D/2_layers/width_study_MSE.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "3644fd24-2a47-47ae-88fb-483ed37f2f98",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import stats\n",
    "test = stats.linregress(np.log10(Ks), np.log10(mean_MSE[2,:]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "5992be48-981f-4388-bbe4-fa343bd8cf18",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The slope is : -0.78 +- 0.01\n",
      "The intercept is : -0.41 +- 0.03\n"
     ]
    }
   ],
   "source": [
    "print(f'The slope is : {test.slope:.2f} +- {test.stderr:.2f}')\n",
    "print(f'The intercept is : {test.intercept:.2f} +- {test.intercept_stderr:.2f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "3a327ffa-7174-4fce-9512-4086c2fcf8c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c366879010cb417186629745e34e5e77",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.plot(Ks, mean_MSE[2,:], 'b-')\n",
    "plt.plot(Ks, np.array(Ks)**test.slope*10**test.intercept, 'r-')\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "46b6b2ac-3c7e-48b8-a1d5-aeb2a4cae703",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ed3c6c50ca1e4a0795c2dd6377ea45ce",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.errorbar(Ks, mean_MAE[0,:], error_MAE[0,:], label='batch = 32', color='b', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MAE[1,:], error_MAE[1,:], label='batch = 64', color='r', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MAE[2,:], error_MAE[2,:], label='batch = 128', color='g', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('$K$')\n",
    "plt.ylabel('MAE')\n",
    "plt.legend()\n",
    "plt.grid(True,'minor',linestyle='--',linewidth=0.25)\n",
    "#plt.savefig('Figures/10D/2_layers/width_study_MAE.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "86190f22-f371-407e-bd72-9c8eff120c98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ba0fae0d9f414ae98bf6cc07d34a5e12",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.errorbar(Ks, mean_MaAE[0,:], error_MaAE[0,:], label='batch = 32', color='b', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MaAE[1,:], error_MaAE[1,:], label='batch = 64', color='r', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.errorbar(Ks, mean_MaAE[2,:], error_MaAE[2,:], label='batch = 128', color='g', linestyle='-',\n",
    "             marker='+', capsize=5, capthick=1.5)\n",
    "plt.yscale('log')\n",
    "plt.xscale('log')\n",
    "plt.xlabel('$K$')\n",
    "plt.ylabel('MaAE')\n",
    "plt.legend()\n",
    "plt.grid(True,'minor',linestyle='--',linewidth=0.25)\n",
    "#plt.savefig('Figures/10D/2_layers/width_study_MaAE.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1c7c0491-3d3e-4372-a9bd-34094a920498",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "Train_model_1D.ipynb",
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