{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "BOjujz601HcS"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.3.0\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(tf.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "Zswl7jRtGzkk"
   },
   "outputs": [],
   "source": [
    "def plot_series(time, series, format=\"-\", start=0, end=None):\n",
    "    plt.plot(time[start:end], series[start:end], format)\n",
    "    plt.xlabel(\"Time\")\n",
    "    plt.ylabel(\"Value\")\n",
    "    plt.grid(True)\n",
    "\n",
    "def trend(time, slope=0):\n",
    "    return slope * time\n",
    "\n",
    "def seasonal_pattern(season_time):\n",
    "    \"\"\"Just an arbitrary pattern, you can change it if you wish\"\"\"\n",
    "    return np.where(season_time < 0.4,\n",
    "                    np.cos(season_time * 2 * np.pi),\n",
    "                    1 / np.exp(3 * season_time))\n",
    "\n",
    "def seasonality(time, period, amplitude=1, phase=0):\n",
    "    \"\"\"Repeats the same pattern at each period\"\"\"\n",
    "    season_time = ((time + phase) % period) / period\n",
    "    return amplitude * seasonal_pattern(season_time)\n",
    "\n",
    "def noise(time, noise_level=1, seed=None):\n",
    "    rnd = np.random.RandomState(seed)\n",
    "    return rnd.randn(len(time)) * noise_level\n",
    "\n",
    "time = np.arange(4 * 365 + 1, dtype=\"float32\")\n",
    "baseline = 10\n",
    "series = trend(time, 0.1)  \n",
    "baseline = 10\n",
    "amplitude = 20\n",
    "slope = 0.09\n",
    "noise_level = 5\n",
    "\n",
    "# Create the series\n",
    "series = baseline + trend(time, slope) + seasonality(time, period=365, amplitude=amplitude)\n",
    "# Update with noise\n",
    "series += noise(time, noise_level, seed=42)\n",
    "\n",
    "split_time = 1000\n",
    "time_train = time[:split_time]\n",
    "x_train = series[:split_time]\n",
    "time_valid = time[split_time:]\n",
    "x_valid = series[split_time:]\n",
    "\n",
    "window_size = 20\n",
    "batch_size = 32\n",
    "shuffle_buffer_size = 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "tVH2XEt4yA4m"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plot_series(time_valid, x_valid)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "4sTTIOCbyShY"
   },
   "outputs": [],
   "source": [
    "def windowed_dataset(series, window_size, batch_size, shuffle_buffer):\n",
    "  dataset = tf.data.Dataset.from_tensor_slices(series)\n",
    "  dataset = dataset.window(window_size + 1, shift=1, drop_remainder=True)\n",
    "  dataset = dataset.flat_map(lambda window: window.batch(window_size + 1))\n",
    "  dataset = dataset.shuffle(shuffle_buffer).map(lambda window: (window[:-1], window[-1]))\n",
    "  dataset = dataset.batch(batch_size).prefetch(1)\n",
    "  return dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "TW-vT7eLYAdb"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x000001926D65FF70> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n",
      "WARNING: AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x000001926D65FF70> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<tensorflow.python.keras.callbacks.History at 0x1926e89fcd0>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "    tf.keras.layers.Dense(10, input_shape=[window_size], activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(10, activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "model.compile(loss=\"mse\", optimizer=tf.keras.optimizers.SGD(lr=1e-6, momentum=0.9))\n",
    "model.fit(dataset,epochs=100,verbose=0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "efhco2rYyIFF"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast = []\n",
    "for time in range(len(series) - window_size):\n",
    "  forecast.append(model.predict(series[time:time + window_size][np.newaxis]))\n",
    "\n",
    "forecast = forecast[split_time-window_size:]\n",
    "results = np.array(forecast)[:, 0, 0]\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plot_series(time_valid, x_valid)\n",
    "plot_series(time_valid, results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "-kT6j186YO6K"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.856567"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "id": "tnCe_nBKu7RB"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x000001926F2D7AF0> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n",
      "WARNING: AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x000001926F2D7AF0> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n"
     ]
    }
   ],
   "source": [
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "    tf.keras.layers.Dense(10, input_shape=[window_size], activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(10, activation=\"relu\"), \n",
    "    tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "lr_schedule = tf.keras.callbacks.LearningRateScheduler(\n",
    "    lambda epoch: 1e-8 * 10**(epoch / 20))\n",
    "optimizer = tf.keras.optimizers.SGD(lr=1e-8, momentum=0.9)\n",
    "model.compile(loss=\"mse\", optimizer=optimizer)\n",
    "history = model.fit(dataset, epochs=100, callbacks=[lr_schedule], verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "id": "2ZaNsM2IgCd_"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1e-08, 0.001, 0.0, 300.0)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "lrs = 1e-8 * (10 ** (np.arange(100) / 20))\n",
    "plt.semilogx(lrs, history.history[\"loss\"])\n",
    "plt.axis([1e-8, 1e-3, 0, 300])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "QDwW0Q7ovYK1"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING:tensorflow:AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x0000019270888550> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n",
      "WARNING: AutoGraph could not transform <function windowed_dataset.<locals>.<lambda> at 0x0000019270888550> and will run it as-is.\n",
      "Please report this to the TensorFlow team. When filing the bug, set the verbosity to 10 (on Linux, `export AUTOGRAPH_VERBOSITY=10`) and attach the full output.\n",
      "Cause: module 'gast' has no attribute 'Index'\n",
      "To silence this warning, decorate the function with @tf.autograph.experimental.do_not_convert\n"
     ]
    }
   ],
   "source": [
    "window_size = 30\n",
    "dataset = windowed_dataset(x_train, window_size, batch_size, shuffle_buffer_size)\n",
    "\n",
    "model = tf.keras.models.Sequential([\n",
    "  tf.keras.layers.Dense(10, activation=\"relu\", input_shape=[window_size]),\n",
    "  tf.keras.layers.Dense(10, activation=\"relu\"),\n",
    "  tf.keras.layers.Dense(1)\n",
    "])\n",
    "\n",
    "optimizer = tf.keras.optimizers.SGD(lr=8e-6, momentum=0.9)\n",
    "model.compile(loss=\"mse\", optimizer=optimizer)\n",
    "history = model.fit(dataset, epochs=500, verbose=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "iXBMO1HM9AHX"
   },
   "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": [
    "loss = history.history['loss']\n",
    "epochs = range(len(loss))\n",
    "plt.plot(epochs, loss, 'b', label='Training Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "xakiRU7R7WAo"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[46.20861053466797, 53.492820739746094, 42.5755729675293, 46.31443786621094, 46.898658752441406, 41.472496032714844, 48.06779479980469, 40.989078521728516, 40.2744255065918, 41.72981262207031, 39.71963119506836, 42.08159637451172, 40.264015197753906, 39.01811218261719, 38.83747863769531, 44.382293701171875, 41.36380386352539, 39.685752868652344, 36.345787048339844, 39.52951431274414, 41.276885986328125, 40.00035095214844, 48.37184143066406, 35.875545501708984, 36.31554412841797, 36.1299934387207, 37.475799560546875, 37.41002655029297, 49.56418991088867, 42.852779388427734, 35.283103942871094, 36.58647537231445, 36.85570526123047, 39.5954475402832, 42.556121826171875, 35.6016731262207, 35.11481475830078, 36.677513122558594, 43.233524322509766, 36.17265319824219, 34.4447135925293, 35.84858322143555, 34.64154815673828, 38.35755157470703, 37.71623229980469, 37.95021438598633, 40.00520324707031, 35.19761657714844, 39.91579818725586, 35.02032470703125, 37.98740005493164, 36.92236328125, 34.56694412231445, 38.112953186035156, 45.13162612915039, 40.291595458984375, 37.4044303894043, 46.451637268066406, 45.33941650390625, 36.85009002685547, 34.19567108154297, 35.486785888671875, 35.429710388183594, 34.12199401855469, 35.17934036254883, 38.9776496887207, 40.135372161865234, 37.774906158447266, 39.930023193359375, 33.55930709838867, 35.90028762817383, 39.46592330932617, 35.077327728271484, 37.44422149658203, 36.38296890258789, 35.89262008666992, 37.95493698120117, 34.98941421508789, 34.6778564453125, 37.9212532043457, 37.95183563232422, 34.84284973144531, 34.74577331542969, 38.304542541503906, 39.2210807800293, 36.44137954711914, 34.44782257080078, 33.523128509521484, 34.611228942871094, 36.354942321777344, 36.82292938232422, 38.36900329589844, 39.63499069213867, 33.69522476196289, 34.14662551879883, 34.431427001953125, 36.19734191894531, 34.46622085571289, 34.25430679321289, 36.541316986083984, 36.17633819580078, 37.9506721496582, 40.86921310424805, 37.60546112060547, 35.99622344970703, 40.43804931640625, 33.71754455566406, 33.578765869140625, 36.995426177978516, 35.12937927246094, 33.89805221557617, 33.24343490600586, 34.10618591308594, 35.95478820800781, 35.15113830566406, 35.579410552978516, 33.630496978759766, 36.423728942871094, 34.72602462768555, 38.32712936401367, 39.849857330322266, 34.341556549072266, 36.84070587158203, 34.90073776245117, 34.3575439453125, 34.93536376953125, 33.34466552734375, 32.758827209472656, 34.4117317199707, 35.607906341552734, 32.83195877075195, 34.53245162963867, 35.7826042175293, 34.068050384521484, 36.163326263427734, 33.169246673583984, 34.45491409301758, 40.85895919799805, 38.540164947509766, 37.51013946533203, 33.47237014770508, 35.733516693115234, 33.03636169433594, 39.09770584106445, 39.151451110839844, 33.53813934326172, 34.83110046386719, 32.74064254760742, 34.885467529296875, 36.702457427978516, 33.552093505859375, 33.338539123535156, 35.681480407714844, 35.14402770996094, 37.67997741699219, 38.87607955932617, 33.405765533447266, 32.759315490722656, 33.31980895996094, 43.44607925415039, 52.27482604980469, 37.81148147583008, 33.638362884521484, 33.57137680053711, 34.8587532043457, 33.57476806640625, 33.8426399230957, 34.516578674316406, 33.60371398925781, 33.16712188720703, 41.26129913330078, 36.40618133544922, 33.83821105957031, 32.845829010009766, 36.01231002807617, 33.04607009887695, 35.39580535888672, 33.50405502319336, 36.15072250366211, 40.012020111083984, 39.971309661865234, 35.8687744140625, 34.750465393066406, 33.30601501464844, 35.72481155395508, 33.2008056640625, 34.75465774536133, 38.652347564697266, 32.47166061401367, 42.151737213134766, 33.40533447265625, 32.7321662902832, 36.22294998168945, 34.58762741088867, 34.07158279418945, 35.37663269042969, 42.42210006713867, 35.3515739440918, 34.03387451171875, 36.37282180786133, 32.84772491455078, 42.247406005859375, 36.502357482910156, 36.58644104003906, 35.83685302734375, 37.33003616333008, 34.03976058959961, 37.99359130859375, 43.09299850463867, 35.514404296875, 33.918678283691406, 37.8380241394043, 39.6358757019043, 41.10201644897461, 38.955448150634766, 34.35613250732422, 33.669471740722656, 37.40156936645508, 38.3041877746582, 36.76409149169922, 34.66930389404297, 38.3749885559082, 49.159996032714844, 39.12236785888672, 36.997581481933594, 38.942909240722656, 45.6699104309082, 41.91144943237305, 33.33610916137695, 32.56500244140625, 36.76780319213867, 40.843475341796875, 36.167179107666016, 44.880409240722656, 36.15997314453125, 36.44786834716797, 34.73625946044922, 43.9611701965332, 41.26113510131836, 39.07081985473633, 37.631065368652344, 38.55096435546875, 32.77845764160156, 34.53621292114258, 34.106746673583984, 34.547176361083984, 36.331573486328125, 33.82542419433594, 32.7994384765625, 35.958492279052734, 34.397499084472656, 36.709877014160156, 37.79531478881836, 37.39628982543945, 36.84117889404297, 39.75916290283203, 38.127933502197266, 38.120567321777344, 35.20745849609375, 34.860145568847656, 34.55318069458008, 34.876129150390625, 35.610347747802734, 36.68376541137695, 36.26140594482422, 33.92125701904297, 33.911617279052734, 33.45774841308594, 35.68050003051758, 42.0577392578125, 38.58240509033203, 39.241214752197266, 37.025901794433594, 35.59477615356445, 40.59785842895508, 33.79258346557617, 32.99883270263672, 36.54979705810547, 38.03118133544922, 35.47163009643555, 34.59352493286133, 45.51474380493164, 35.90401077270508, 36.94170379638672, 32.842994689941406, 33.717369079589844, 33.95869827270508, 36.72378158569336, 34.01726150512695, 33.62641143798828, 34.5543327331543, 34.38718032836914, 37.72881317138672, 34.09075164794922, 36.53758239746094, 36.145843505859375, 33.68030548095703, 35.17033004760742, 35.92072677612305, 33.849998474121094, 34.94184112548828, 38.112422943115234, 32.929996490478516, 33.50786209106445, 33.31935501098633, 34.0079345703125, 35.16291046142578, 33.052040100097656, 40.42740249633789, 40.16886520385742, 38.98780059814453, 32.210548400878906, 34.86873245239258, 36.65800857543945, 36.10905838012695, 35.196414947509766, 38.624271392822266, 35.671329498291016, 33.98874282836914, 35.642539978027344, 39.55978012084961, 35.09090042114258, 33.57429885864258, 34.20888900756836, 34.26227951049805, 40.320640563964844, 39.24268341064453, 35.909873962402344, 36.14547348022461, 34.22925567626953, 35.52304458618164, 34.80358123779297, 33.07022476196289, 38.7013053894043, 34.922542572021484, 34.96329879760742, 35.852294921875, 38.99753189086914, 36.56173324584961, 34.5250244140625, 36.55831527709961, 37.53154754638672, 34.89437484741211, 35.29535675048828, 33.474056243896484, 35.90522766113281, 38.03363037109375, 35.57916259765625, 34.41888427734375, 33.355430603027344, 34.692073822021484, 32.97639083862305, 34.802650451660156, 43.76038360595703, 41.263370513916016, 47.0219612121582, 35.12126922607422, 34.57231903076172, 32.33729934692383, 36.04344177246094, 34.535125732421875, 40.14323043823242, 38.58340835571289, 33.46970748901367, 36.37116622924805, 33.0665168762207, 34.48272705078125, 33.816619873046875, 39.561607360839844, 34.750057220458984, 35.15864181518555, 33.550392150878906, 32.718814849853516, 34.193885803222656, 37.67662811279297, 34.37795639038086, 33.602725982666016, 34.84342956542969, 43.26049041748047, 34.61115646362305, 45.67866897583008, 36.5174560546875, 34.3579216003418, 33.7091064453125, 32.90043640136719, 37.58805465698242, 33.21189880371094, 34.595458984375, 35.7304573059082, 35.52058410644531, 36.21887969970703, 33.6148796081543, 33.266048431396484, 37.923255920410156, 42.47880172729492, 36.428165435791016, 34.63028335571289, 37.5020866394043, 39.55706024169922, 39.712440490722656, 33.99565124511719, 34.81622314453125, 32.56386184692383, 38.67720413208008, 40.409297943115234, 33.699302673339844, 37.45996856689453, 33.515254974365234, 33.44207000732422, 34.1733283996582, 38.257835388183594, 35.049163818359375, 32.847068786621094, 35.045196533203125, 32.74639129638672, 33.625022888183594, 37.58287811279297, 33.312217712402344, 33.8419303894043, 40.9312744140625, 33.459922790527344, 35.5819091796875, 33.27508544921875, 33.989139556884766, 34.897491455078125, 41.06624984741211, 40.46564865112305, 34.45304870605469, 34.534019470214844, 32.09022521972656, 34.61874771118164, 33.283390045166016, 33.528926849365234, 35.80784225463867, 36.392311096191406, 46.63346862792969, 34.09735870361328, 32.93965530395508, 36.477474212646484, 34.21033477783203, 35.21377944946289, 43.52184295654297, 38.392608642578125, 35.361473083496094, 34.47962951660156, 34.71928405761719, 34.449283599853516, 37.04483413696289, 32.25642776489258, 34.917598724365234, 34.11570739746094, 34.538822174072266, 34.81612014770508, 33.705535888671875, 33.47391128540039, 36.50123977661133, 34.60300064086914, 34.60396957397461, 33.82836151123047, 33.070743560791016, 34.77118682861328, 36.26179885864258, 33.90839767456055, 34.19975280761719, 32.67517852783203, 41.506832122802734, 35.41632843017578, 44.99457931518555, 34.83503723144531, 35.354530334472656, 34.78565216064453, 34.385684967041016, 36.83097457885742, 39.01477813720703, 33.534645080566406, 37.303733825683594, 37.39472198486328, 35.82235336303711, 34.066673278808594, 38.41769790649414, 44.276546478271484, 35.87360763549805, 44.24220275878906, 35.80912399291992, 40.1907844543457, 33.89860534667969, 37.65794372558594, 33.75945281982422, 35.107452392578125, 33.12913513183594]\n"
     ]
    },
    {
     "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": [
    "# Plot all but the first 10\n",
    "loss = history.history['loss']\n",
    "epochs = range(10, len(loss))\n",
    "plot_loss = loss[10:]\n",
    "print(plot_loss)\n",
    "plt.plot(epochs, plot_loss, 'b', label='Training Loss')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "YUOPUeHWvvBG"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast = []\n",
    "for time in range(len(series) - window_size):\n",
    "  forecast.append(model.predict(series[time:time + window_size][np.newaxis]))\n",
    "\n",
    "forecast = forecast[split_time-window_size:]\n",
    "results = np.array(forecast)[:, 0, 0]\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "plot_series(time_valid, x_valid)\n",
    "plot_series(time_valid, results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "W-GPjL2wv0yc"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.775376"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tf.keras.metrics.mean_absolute_error(x_valid, results).numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "name": "S+P Week 2 Lesson 3.ipynb",
   "provenance": [],
   "toc_visible": true
  },
  "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": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
