Simple CNN LSTM.ipynb

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  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import keras\n",
    "import tensorflow as tf\n",
    "from numpy import array\n",
    "from keras.models import Sequential\n",
    "from keras.layers import LSTM\n",
    "from keras.layers import Dense\n",
    "from keras.layers import Flatten\n",
    "from keras.layers import TimeDistributed\n",
    "from keras.layers.convolutional import Conv1D\n",
    "from keras.layers.convolutional import MaxPooling1D\n",
    "from keras_tqdm import TQDMNotebookCallback\n",
    "from tqdm import tqdm_notebook\n",
    "import matplotlib.pyplot as plt\n",
    "import random\n",
    "from random import randint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "# split a univariate sequence into samples\n",
    "def split_sequence(sequence, n_steps):\n",
    "    X, y = list(), list()\n",
    "    for i in range(len(sequence)):\n",
    "        # find the end of this pattern\n",
    "        end_ix = i + n_steps\n",
    "        # check if we are beyond the sequence\n",
    "        if end_ix > len(sequence)-1:\n",
    "            break\n",
    "        # gather input and output parts of the pattern\n",
    "        seq_x, seq_y = sequence[i:end_ix], sequence[end_ix]\n",
    "        X.append(seq_x)\n",
    "        y.append(seq_y)\n",
    "    return array(X), array(y)\n",
    "\n",
    "def plot_multi_graph(xAxis,yAxes,title='',xAxisLabel='number',yAxisLabel='Y'):\n",
    "    linestyles = ['-', '--', '-.', ':']\n",
    "    plt.figure()\n",
    "    plt.title(title)\n",
    "    plt.xlabel(xAxisLabel)\n",
    "    plt.ylabel(yAxisLabel)\n",
    "    for key, value in yAxes.items():\n",
    "        plt.plot(xAxis, np.array(value), label=key, linestyle=linestyles[randint(0,3)])\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[78 64 16 ... 85 73 34]\n",
      " [64 16 68 ... 73 34 40]\n",
      " [16 68  3 ... 34 40 50]\n",
      " ...\n",
      " [53 56 61 ... 45 44  1]\n",
      " [56 61 92 ... 44  1 43]\n",
      " [61 92 49 ...  1 43 98]]\n",
      "[40 50 76 39 90 89 13 30 21 84  2 18 52 10 74  8 47 20 70  7 59 23 80 93\n",
      " 17 79 26 88 96  4 35 65 58 36 91  9 31 12 11 25 19 14 46 75 29 55 57 87\n",
      "  5 83 22 15 28 71 62 38 94 53 56 61 92 49 81 37 33 41 69 97 99 24  0 51\n",
      " 86  6 45 44  1 43 98 42]\n"
     ]
    }
   ],
   "source": [
    "# define input sequence\n",
    "raw_seq = [i for i in range(100)]\n",
    "\n",
    "random.seed('sam') # set the seed\n",
    "raw_seq = random.sample(raw_seq, 100)\n",
    "\n",
    "# choose a number of time steps for sliding window from data start to target start\n",
    "sliding_window = 20\n",
    "# split into samples\n",
    "X, y = split_sequence(raw_seq, sliding_window)\n",
    "\n",
    "print(X)\n",
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "# reshape from [samples, timesteps] into [samples, subsequences, timesteps, features]\n",
    "n_features = 1\n",
    "n_seq = 20\n",
    "n_steps = 1\n",
    "X = X.reshape((X.shape[0], n_seq, n_steps, n_features))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "# define model\n",
    "model = Sequential()\n",
    "model.add(TimeDistributed(Conv1D(filters=64, kernel_size=1, activation='relu'), input_shape=(None, n_steps, n_features)))\n",
    "model.add(TimeDistributed(MaxPooling1D(pool_size=1)))\n",
    "model.add(TimeDistributed(Flatten()))\n",
    "model.add(LSTM(50, activation='relu'))\n",
    "model.add(Dense(1))\n",
    "model.compile(optimizer='adam', loss='mse', metrics=['mse'])"
   ]
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   ],
   "source": [
    "early_stop = keras.callbacks.EarlyStopping(monitor='val_loss', patience=10)\n",
    "# fit model\n",
    "history = model.fit(X, y, epochs=100, verbose=0,\n",
    "                    validation_data=(X,y),\n",
    "                    callbacks=[TQDMNotebookCallback(\n",
    "                    #    leave_inner=True\n",
    "                    )\n",
    "                             #  ,early_stop\n",
    "                              ]\n",
    "                   )"
   ]
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  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot Error\n",
    "\n",
    "# Mean Square Error\n",
    "\n",
    "yAxes = {}\n",
    "yAxes[\"Training\"]=history.history['mean_squared_error']\n",
    "yAxes[\"Validation\"]=history.history['val_mean_squared_error']\n",
    "plot_multi_graph(history.epoch,yAxes, title='Mean Square Error',xAxisLabel='Epochs')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117\n",
      " 118 119]\n",
      "[[91.06552]]\n"
     ]
    }
   ],
   "source": [
    "# demonstrate prediction\n",
    "x_input = array([i for i in range(100,120)])\n",
    "print(x_input)\n",
    "x_input = x_input.reshape((1, n_seq, n_steps, n_features))\n",
    "yhat = model.predict(x_input, verbose=0)\n",
    "print(yhat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[44.44245 ]\n",
      " [55.593536]\n",
      " [34.18795 ]\n",
      " [49.316406]\n",
      " [77.37667 ]\n",
      " [92.14894 ]\n",
      " [32.88875 ]\n",
      " [45.24442 ]\n",
      " [53.226524]\n",
      " [45.076912]\n",
      " [51.196365]\n",
      " [36.10516 ]\n",
      " [45.171623]\n",
      " [44.233356]\n",
      " [51.04828 ]\n",
      " [50.077377]\n",
      " [50.57363 ]\n",
      " [48.322327]\n",
      " [55.939674]\n",
      " [52.09527 ]\n",
      " [43.701496]\n",
      " [43.452168]\n",
      " [65.56243 ]\n",
      " [56.4361  ]\n",
      " [20.901958]\n",
      " [71.36655 ]\n",
      " [46.29732 ]\n",
      " [86.99962 ]\n",
      " [89.56538 ]\n",
      " [14.59629 ]\n",
      " [40.41057 ]\n",
      " [33.81991 ]\n",
      " [55.538563]\n",
      " [63.625736]\n",
      " [75.59745 ]\n",
      " [37.290424]\n",
      " [39.311775]\n",
      " [38.02833 ]\n",
      " [39.915882]\n",
      " [31.34694 ]\n",
      " [37.534286]\n",
      " [38.171944]\n",
      " [50.211754]\n",
      " [67.21801 ]\n",
      " [52.83474 ]\n",
      " [42.518456]\n",
      " [35.1315  ]\n",
      " [57.347336]\n",
      " [14.842256]\n",
      " [37.13909 ]\n",
      " [28.48974 ]\n",
      " [33.4993  ]\n",
      " [46.77608 ]\n",
      " [47.22924 ]\n",
      " [53.894653]\n",
      " [39.172462]\n",
      " [53.1559  ]\n",
      " [33.901726]\n",
      " [49.77066 ]\n",
      " [62.75428 ]\n",
      " [70.17219 ]\n",
      " [61.451   ]\n",
      " [70.645386]\n",
      " [48.2623  ]\n",
      " [32.519764]\n",
      " [40.41966 ]\n",
      " [40.316166]\n",
      " [47.54779 ]\n",
      " [62.5297  ]\n",
      " [31.963535]\n",
      " [29.583345]\n",
      " [35.737347]\n",
      " [43.49123 ]\n",
      " [51.260323]\n",
      " [73.220795]\n",
      " [41.40855 ]\n",
      " [42.53614 ]\n",
      " [46.12001 ]\n",
      " [39.103943]\n",
      " [45.377815]]\n"
     ]
    }
   ],
   "source": [
    "# demonstrate prediction in data\n",
    "yhat = model.predict(X, verbose=0)\n",
    "print(yhat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[40 50 76 39 90 89 13 30 21 84  2 18 52 10 74  8 47 20 70  7 59 23 80 93\n",
      " 17 79 26 88 96  4 35 65 58 36 91  9 31 12 11 25 19 14 46 75 29 55 57 87\n",
      "  5 83 22 15 28 71 62 38 94 53 56 61 92 49 81 37 33 41 69 97 99 24  0 51\n",
      " 86  6 45 44  1 43 98 42]\n"
     ]
    }
   ],
   "source": [
    "print(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "xAxis = [i for i in range(len(y))]\n",
    "yAxes = {}\n",
    "yAxes[\"Data\"]=raw_seq[0:len(raw_seq)-sliding_window]\n",
    "yAxes[\"Target\"]=y\n",
    "yAxes[\"Prediction\"]=yhat\n",
    "plot_multi_graph(xAxis,yAxes,title='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}