{ "cells": [ { "cell_type": "markdown", "id": "0716d800", "metadata": {}, "source": [ "## Прогнозирование заболеваемости COVID\n", "Для решения данной задачи будет проведено обучение рекурентной LSTM нейронной сети. Данная архитектура сети лучше всего позволяет прогнозировать временные ряды.\n", "В качестве тестовых и трейновых данных будет использоваться датасет о заболеваемости короновирусом в России - [COVID.csv](https://github.com/Koldim2001/time_series_theory/blob/main/COVID.csv)" ] }, { "cell_type": "code", "execution_count": 843, "id": "85987ebc", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.preprocessing import MinMaxScaler\n", "from keras.models import Sequential\n", "from keras.layers import Dense, LSTM, Dropout, Activation\n", "import math\n", "from sklearn.metrics import mean_squared_error\n", "from matplotlib.pyplot import figure\n", "import datetime\n", "from sklearn.metrics import mean_absolute_error" ] }, { "cell_type": "markdown", "id": "3b7935ca", "metadata": {}, "source": [ "Будем рассматривать данные по числу заражений в день" ] }, { "cell_type": "code", "execution_count": 844, "id": "0d30c9d5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Всего дней в датасете 976\n" ] }, { "data": { "text/html": [ "
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DateTimeЗаражений за деньВыздоровлений за деньСмертей за день
02020-03-12 00:00:003400
12020-03-13 00:00:001100
22020-03-14 00:00:001400
32020-03-15 00:00:00430
42020-03-16 00:00:002820
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" ], "text/plain": [ " DateTime Заражений за день Выздоровлений за день \\\n", "0 2020-03-12 00:00:00 34 0 \n", "1 2020-03-13 00:00:00 11 0 \n", "2 2020-03-14 00:00:00 14 0 \n", "3 2020-03-15 00:00:00 4 3 \n", "4 2020-03-16 00:00:00 28 2 \n", "\n", " Смертей за день \n", "0 0 \n", "1 0 \n", "2 0 \n", "3 0 \n", "4 0 " ] }, "execution_count": 844, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('COVID.csv')\n", "columns = df.columns\n", "print(\"Всего дней в датасете\", len(df))\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 845, "id": "71299725", "metadata": {}, "outputs": [], "source": [ "max_time = datetime.datetime(2022, 1, 1, 0, 0)" ] }, { "cell_type": "code", "execution_count": 846, "id": "5cf03547", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2020-03-12 00:00:00')" ] }, "execution_count": 846, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df['DateTime'] = pd.to_datetime(df['DateTime'])\n", "df = df.query(\"DateTime < @max_time\")\n", "df['DateTime'].min()" ] }, { "cell_type": "markdown", "id": "09e6f2a2", "metadata": {}, "source": [ "Обрежем данные по конец 2021 года. Будем предсказывать именно поведение заболеваемости в конце того года по результатам исследования заболеваемости начиная с марта 2020 года. То есть предсказание будет осуществляться благодаря данным о заболеваемости за последние чуть больше чем полтора года " ] }, { "cell_type": "code", "execution_count": 847, "id": "5e83a675", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2021-12-31 00:00:00')" ] }, "execution_count": 847, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df['DateTime'].max()" ] }, { "cell_type": "code", "execution_count": 848, "id": "9b709367", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Заражений за день
DateTime
2020-03-1234
2020-03-1311
2020-03-1414
2020-03-154
2020-03-1628
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" ], "text/plain": [ " Заражений за день\n", "DateTime \n", "2020-03-12 34\n", "2020-03-13 11\n", "2020-03-14 14\n", "2020-03-15 4\n", "2020-03-16 28" ] }, "execution_count": 848, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.index = pd.to_datetime(df.DateTime)\n", "df = df['Заражений за день'].to_frame()\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 849, "id": "c4e07a30", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(12, 4), dpi=80)\n", "plt.plot(df.index,df['Заражений за день'])\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('Весь исследуемый диапазон')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "08b1ca3b", "metadata": {}, "source": [ "Отрежем последние 100 дней от исходного датафрейма. Будем последние 100 дней ипользовать как тест нашего предсказания.
\n", "Данное число дней взято таким образом, чтобы пресказать на тесте поведение новой волны - последней волны 2021 года, которая началась в сентябре" ] }, { "cell_type": "code", "execution_count": 850, "id": "2b3a051c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Число дней, на которых будем обучать = 560\n" ] } ], "source": [ "x = df.shape[0] - 100\n", "print('Число дней, на которых будем обучать =', x)" ] }, { "cell_type": "markdown", "id": "535adcb0", "metadata": {}, "source": [ "Обрежем данные на тест и трейн:" ] }, { "cell_type": "code", "execution_count": 851, "id": "bbb8f8f8", "metadata": {}, "outputs": [], "source": [ "dataset = df.values.astype('float32') \n", "train = df.iloc[:x]\n", "test = df.iloc[x:]" ] }, { "cell_type": "code", "execution_count": 852, "id": "e2fd9650", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(12, 4), dpi=80)\n", "plt.plot(train.index, train['Заражений за день'])\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('train диапазон')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 853, "id": "981fc4df", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(12, 4), dpi=80)\n", "plt.plot(test.index, test['Заражений за день'])\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('test диапазон')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "45624e08", "metadata": {}, "source": [ "Теперь сделаем нормализацию данных, которые будут использоваться при обучении и тестировании работы нейронной сети. Воспользуемся для этого MinMaxScaler и сделаем его fit на трейновых данных" ] }, { "cell_type": "code", "execution_count": 854, "id": "1632c4c0", "metadata": {}, "outputs": [], "source": [ "scaler = MinMaxScaler()\n", "scaler.fit(train) \n", "\n", "train_scaled = scaler.transform(train)\n", "test_scaled = scaler.transform(test)" ] }, { "cell_type": "markdown", "id": "b39621b0", "metadata": {}, "source": [ "Напишем функцию для предподготовки данных для обучения и тестирования работы рекурентной сети.
\n", "На вход подаются значения за _seq_size_ дней предыдущих и на выходе сеть предсказывает последующее одно значение. Тем самым архитектура сети является Sequence-to-vector " ] }, { "cell_type": "code", "execution_count": 855, "id": "418faa0b", "metadata": {}, "outputs": [], "source": [ "seq_size = 20" ] }, { "cell_type": "markdown", "id": "432d9c74", "metadata": {}, "source": [ "Благодаря проведенным испытаниям работы сети лучшим гиперпараметром стало число шагов назад для анализа равное 20.
\n", "То есть сеть при предсказании последующего значения обладает информацией о последних 20 значениях заболеваемости. На вход LSTM сети будет поступать на каждом шаге именно 20 значений." ] }, { "cell_type": "code", "execution_count": 856, "id": "1f3f72a6", "metadata": {}, "outputs": [], "source": [ "def to_sequences(dataset, seq_size=1):\n", " x = []\n", " y = []\n", "\n", " for i in range(len(dataset)-seq_size-1):\n", " window = dataset[i:(i+seq_size), 0]\n", " x.append(window)\n", " y.append(dataset[i+seq_size, 0])\n", " \n", " return np.array(x),np.array(y)" ] }, { "cell_type": "code", "execution_count": 857, "id": "8a6e9d27", "metadata": {}, "outputs": [], "source": [ "trainX, trainY = to_sequences(train_scaled, seq_size)\n", "testX, testY = to_sequences(test_scaled, seq_size)" ] }, { "cell_type": "code", "execution_count": 858, "id": "39b67878", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Размер данных для обучения (train): (539, 20)\n", "Размер данных для теста (test): (79, 20)\n" ] } ], "source": [ "print(\"Размер данных для обучения (train): {}\".format(trainX.shape))\n", "print(\"Размер данных для теста (test): {}\".format(testX.shape))" ] }, { "cell_type": "markdown", "id": "9cd4378b", "metadata": {}, "source": [ "При этом оценивать качество сети мы будем не только как умение с высокой точностью пресказывать 21-ое значение при задании 20 известных значений, но и сам факт пресказания, в котором каждое последующее пресказание имеет накопительную ошибку предыдущих предсказаний.\n", "
То есть при тестировании будет использоваться не только test датасет, который мы на прошлом шаге составили, но и датасет который будет составляться сам в процессе пресказания. В таком случае мы по предсказвнным значениям будем предсказывать следующие значения и так далее." ] }, { "cell_type": "markdown", "id": "e91a6ed0", "metadata": {}, "source": [ "Для подачи данных на обучение надо немного решейпнуть данные, приведя их к виду: trainX.shape[0], число фич, trainX.shape[1].
\n", "Число фич - это по сути число различных временных одновременных последовательностей, принимающих участие в предсказании.
В нашем случае мы предсказывем поведение временной зависимости заболеваемости от ее же поведения за предыдущие моменты времени, поэтому число фич = 1" ] }, { "cell_type": "code", "execution_count": 859, "id": "09e2af87", "metadata": {}, "outputs": [], "source": [ "n_features = 1" ] }, { "cell_type": "code", "execution_count": 860, "id": "6ac7f9c9", "metadata": {}, "outputs": [], "source": [ "trainX = np.reshape(trainX, (trainX.shape[0], n_features, trainX.shape[1]))\n", "testX = np.reshape(testX, (testX.shape[0], n_features, testX.shape[1]))" ] }, { "cell_type": "code", "execution_count": 861, "id": "be4d5751", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Финальный размер данных для обучения (train): (539, 1, 20)\n", "Финальный размер данных для теста (test): (79, 1, 20)\n" ] } ], "source": [ "print(\"Финальный размер данных для обучения (train): {}\".format(trainX.shape))\n", "print(\"Финальный размер данных для теста (test): {}\".format(testX.shape))" ] }, { "cell_type": "markdown", "id": "9a6da313", "metadata": {}, "source": [ "__Зададим модель нейронной сети:__" ] }, { "cell_type": "markdown", "id": "1f6fd242", "metadata": {}, "source": [ "LSTM (long short-term memory, дословно (долгая краткосрочная память) — тип рекуррентной нейронной сети, способный обучаться долгосрочным зависимостям." ] }, { "cell_type": "code", "execution_count": 862, "id": "47a681b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model: \"sequential_18\"\n", "_________________________________________________________________\n", " Layer (type) Output Shape Param # \n", "=================================================================\n", " lstm_36 (LSTM) (None, None, 150) 102600 \n", " \n", " lstm_37 (LSTM) (None, 64) 55040 \n", " \n", " dense_36 (Dense) (None, 64) 4160 \n", " \n", " dense_37 (Dense) (None, 1) 65 \n", " \n", "=================================================================\n", "Total params: 161,865\n", "Trainable params: 161,865\n", "Non-trainable params: 0\n", "_________________________________________________________________\n" ] } ], "source": [ "model = Sequential()\n", "model.add(LSTM(150, activation='relu', return_sequences=True, input_shape=(None, seq_size))) # Первый слой LSTM\n", "# return_sequences=True так LSTM первого слоя передает данные на второй слой LSTM\n", "model.add(LSTM(64, activation='relu')) # Второй слой LSTM\n", "model.add(Dense(64)) # Полносвязный слой из 64 нейронов\n", "model.add(Dense(1)) # Выходной слой (одно значение на выходе сети)\n", "model.compile(optimizer='adam', loss='mean_squared_error')\n", "\n", "model.summary()" ] }, { "cell_type": "markdown", "id": "712eff02", "metadata": {}, "source": [ "__Обучение сети:__" ] }, { "cell_type": "code", "execution_count": 863, "id": "2416a1f6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train...\n", "Epoch 1/50\n", "17/17 [==============================] - 2s 20ms/step - loss: 0.1259 - val_loss: 0.0207\n", "Epoch 2/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0199 - val_loss: 0.0756\n", "Epoch 3/50\n", "17/17 [==============================] - 0s 5ms/step - loss: 0.0118 - val_loss: 0.0442\n", "Epoch 4/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0076 - val_loss: 0.0401\n", "Epoch 5/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0059 - val_loss: 0.0415\n", "Epoch 6/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0053 - val_loss: 0.0544\n", "Epoch 7/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0048 - val_loss: 0.0629\n", "Epoch 8/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0043 - val_loss: 0.0476\n", "Epoch 9/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0035 - val_loss: 0.0313\n", "Epoch 10/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0027 - val_loss: 0.0426\n", "Epoch 11/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0019 - val_loss: 0.0249\n", "Epoch 12/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 0.0013 - val_loss: 0.0124\n", "Epoch 13/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 9.3401e-04 - val_loss: 0.0069\n", "Epoch 14/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.8995e-04 - val_loss: 0.0074\n", "Epoch 15/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.5560e-04 - val_loss: 0.0027\n", "Epoch 16/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.2472e-04 - val_loss: 0.0047\n", "Epoch 17/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.8879e-04 - val_loss: 0.0042\n", "Epoch 18/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.7255e-04 - val_loss: 0.0025\n", "Epoch 19/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.2631e-04 - val_loss: 0.0052\n", "Epoch 20/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.4258e-04 - val_loss: 0.0021\n", "Epoch 21/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 7.3168e-04 - val_loss: 0.0030\n", "Epoch 22/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.2570e-04 - val_loss: 0.0018\n", "Epoch 23/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.5467e-04 - val_loss: 0.0031\n", "Epoch 24/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.2713e-04 - val_loss: 0.0020\n", "Epoch 25/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.1496e-04 - val_loss: 0.0017\n", "Epoch 26/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.2846e-04 - val_loss: 0.0017\n", "Epoch 27/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.9797e-04 - val_loss: 0.0025\n", "Epoch 28/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.4967e-04 - val_loss: 0.0028\n", "Epoch 29/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.2869e-04 - val_loss: 0.0017\n", "Epoch 30/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.7184e-04 - val_loss: 0.0015\n", "Epoch 31/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.9139e-04 - val_loss: 0.0038\n", "Epoch 32/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.5940e-04 - val_loss: 0.0024\n", "Epoch 33/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.7530e-04 - val_loss: 0.0021\n", "Epoch 34/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.8767e-04 - val_loss: 0.0019\n", "Epoch 35/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.0128e-04 - val_loss: 0.0031\n", "Epoch 36/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.8369e-04 - val_loss: 0.0047\n", "Epoch 37/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.9300e-04 - val_loss: 0.0021\n", "Epoch 38/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.5627e-04 - val_loss: 0.0023\n", "Epoch 39/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.5412e-04 - val_loss: 0.0015\n", "Epoch 40/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.7191e-04 - val_loss: 0.0015\n", "Epoch 41/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.0373e-04 - val_loss: 0.0030\n", "Epoch 42/50\n", "17/17 [==============================] - 0s 5ms/step - loss: 6.4395e-04 - val_loss: 0.0016\n", "Epoch 43/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.3837e-04 - val_loss: 0.0014\n", "Epoch 44/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.1590e-04 - val_loss: 0.0013\n", "Epoch 45/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 6.3255e-04 - val_loss: 0.0014\n", "Epoch 46/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.0401e-04 - val_loss: 0.0013\n", "Epoch 47/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.7433e-04 - val_loss: 0.0015\n", "Epoch 48/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.3620e-04 - val_loss: 0.0013\n", "Epoch 49/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.1158e-04 - val_loss: 0.0013\n", "Epoch 50/50\n", "17/17 [==============================] - 0s 4ms/step - loss: 5.1217e-04 - val_loss: 0.0023\n" ] } ], "source": [ "print('Train...')\n", "history = model.fit(x=trainX,\n", " y=trainY, \n", " validation_data=(testX, testY), \n", " epochs=50)" ] }, { "cell_type": "code", "execution_count": 864, "id": "7b5d7884", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "loss = history.history['loss']\n", "val_loss = history.history['val_loss']\n", "epochs = range(1, len(loss) + 1)\n", "figure(figsize=(13, 4), dpi=80)\n", "plt.plot(epochs[:20], loss[:20], 'y', label='Train loss')\n", "plt.plot(epochs[:20], val_loss[:20], 'r', label='Test loss')\n", "plt.title('Постепенное изменение величины ошибки на test и train')\n", "plt.xlabel('Число эпох обучения')\n", "plt.ylabel('RMSE')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 865, "id": "afe8933f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "17/17 [==============================] - 0s 1ms/step\n", "3/3 [==============================] - 0s 1ms/step\n" ] } ], "source": [ "trainPredict = model.predict(trainX)\n", "testPredict = model.predict(testX)\n", "\n", "\n", "trainPredict = scaler.inverse_transform(trainPredict)\n", "trainY = scaler.inverse_transform([trainY])\n", "testPredict = scaler.inverse_transform(testPredict)\n", "testY = scaler.inverse_transform([testY])\n" ] }, { "cell_type": "markdown", "id": "361ef6c0", "metadata": {}, "source": [ "Вычисление root mean squared error:" ] }, { "cell_type": "code", "execution_count": 866, "id": "e860e538", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train Score: 687.06 RMSE\n", "Test Score: 1450.65 RMSE\n" ] } ], "source": [ "trainScore = math.sqrt(mean_squared_error(trainY[0], trainPredict[:,0]))\n", "print('Train Score: %.2f RMSE' % (trainScore))\n", "\n", "testScore = math.sqrt(mean_squared_error(testY[0], testPredict[:,0]))\n", "print('Test Score: %.2f RMSE' % (testScore))" ] }, { "cell_type": "markdown", "id": "b21fb78f", "metadata": {}, "source": [ "Подготовка данных к отображению на графиках:" ] }, { "cell_type": "markdown", "id": "fa3b22b1", "metadata": {}, "source": [ "Мы должны сместить прогнозы так, чтобы они совпали по оси x с исходным набором данных." ] }, { "cell_type": "code", "execution_count": 867, "id": "a6869e4c", "metadata": {}, "outputs": [], "source": [ "# shift train predictions for plotting\n", "trainPredictPlot = np.empty_like(dataset)\n", "trainPredictPlot[:, :] = np.nan\n", "trainPredictPlot[seq_size:len(trainPredict)+seq_size, :] = trainPredict\n", "\n", "# shift test predictions for plotting\n", "testPredictPlot = np.empty_like(dataset)\n", "testPredictPlot[:, :] = np.nan\n", "testPredictPlot[len(trainPredict)+(seq_size*2)+1:len(dataset)-1, :] = testPredict" ] }, { "cell_type": "code", "execution_count": 868, "id": "2d725391", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(15, 4), dpi=80)\n", "plt.plot(train.index, train['Заражений за день'], label='Реальные данные')\n", "plt.plot(train.index, trainPredictPlot[:x], label='Пресказание модели')\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('train диапазон')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 869, "id": "fa2db837", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(13, 4), dpi=80)\n", "plt.plot(test.index, test['Заражений за день'], label='Реальные данные')\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.plot(test.index, testPredictPlot[x:], label='Пресказание модели')\n", "plt.title('test диапазон')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "606bc5a9", "metadata": {}, "source": [ "Сдвиг такой вызван тем, что при тестировании мы начинали предсказыать лишь с 21 дня. Первые 20 дней стали участниками первого пресказания" ] }, { "cell_type": "code", "execution_count": 870, "id": "d3c96d17", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 79)\n", "(79, 1)\n" ] } ], "source": [ "print(testY.shape)\n", "print(testPredict.shape)" ] }, { "cell_type": "code", "execution_count": 871, "id": "3cde27db", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "В среднем прогноз числа заболеваний COVID-19 на 1 ближайший день ошибается на 1116 человек\n" ] } ], "source": [ "mae = mean_absolute_error(testY[0], testPredict[:,0])\n", "print('В среднем прогноз числа заболеваний COVID-19 на 1 ближайший день ошибается на',\n", " round(mae),'человек')" ] }, { "cell_type": "markdown", "id": "4a4d0bbe", "metadata": {}, "source": [ "Обратим внимание на то, что в даннный момент мы лишь оценивали качество текущего прогноза 21-ого значения временного ряда, основываясь на знании поведения 20 предыдущих изестных нам значений. То есть нейронка стремилась делать прогноз на 1 день с высокой степенью точности." ] }, { "cell_type": "markdown", "id": "605a0857", "metadata": {}, "source": [ "Но в задаче реального прогноза ошибка прогноза на n-ый день будет включать в себя ошибки прогноза на 1, 2, 3 и до n-1 дни. То есть с ростом времени все менее и менее точным будет наш прогноз. Убедимся в этом:" ] }, { "cell_type": "code", "execution_count": 872, "id": "b4a680fd", "metadata": {}, "outputs": [], "source": [ "current_batch = train_scaled[-seq_size:] # Зададим текущий батч для обучения\n", "current_batch = current_batch.reshape(1, n_features, seq_size) # Решейпним его в нужные для модели размеры" ] }, { "cell_type": "markdown", "id": "e3da66ff", "metadata": {}, "source": [ "Будем предсказывать на 30 дней:" ] }, { "cell_type": "code", "execution_count": 873, "id": "37c471cd", "metadata": {}, "outputs": [], "source": [ "future = 30 # дней" ] }, { "cell_type": "code", "execution_count": 874, "id": "ff3bd0d2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1/1 [==============================] - 0s 17ms/step\n", "1/1 [==============================] - 0s 17ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 17ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 15ms/step\n", "1/1 [==============================] - 0s 16ms/step\n", "1/1 [==============================] - 0s 17ms/step\n", "1/1 [==============================] - 0s 16ms/step\n" ] } ], "source": [ "prediction = [] # Пустой лист для добавления предсказаний\n", "\n", "# Тут возникло много мороки с решейпами, но задача оказалось решаемой :)\n", "\n", "for i in range(future):\n", " #print(model.predict(current_batch))\n", " current_pred = model.predict(current_batch)[0] # Текущий для данного батча предикт\n", " prediction.append(current_pred)\n", " current_batch = np.append(current_batch[0,0,1:], current_pred) \n", " # Переделывем батч, отбрасывая начальный элемент и добавляя в конце последний полученный предикт\n", " current_batch = current_batch.reshape(1, n_features, seq_size) # Опять решейпим" ] }, { "cell_type": "code", "execution_count": 875, "id": "e1b2b3a9", "metadata": {}, "outputs": [], "source": [ "prediction = np.asarray(prediction, dtype=np.float32)\n", "rescaled_prediction = scaler.inverse_transform(prediction) # Переводим в исходный масштаб предикты" ] }, { "cell_type": "code", "execution_count": 876, "id": "b577538f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(12, 4), dpi=80)\n", "plt.plot(test.index[:rescaled_prediction.shape[0]],\n", " test['Заражений за день'][:rescaled_prediction.shape[0]],\n", " label='Реальные данные')\n", "plt.plot(test.index[:rescaled_prediction.shape[0]],\n", " rescaled_prediction[:,0],\n", " label ='Предсказание модели')\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('Предсказываемый диапазон')\n", "plt.legend()\n", "plt.xticks(rotation = 30)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 877, "id": "420a105b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1/1 [==============================] - 0s 17ms/step\n" ] } ], "source": [ "current_pred = model.predict(current_batch)[0]" ] }, { "cell_type": "code", "execution_count": 878, "id": "85a4d809", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(660,)" ] }, "execution_count": 878, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_y = np.empty_like(df.values[:,0], dtype=np.float64)\n", "data_y[:] = np.nan\n", "data_y.shape" ] }, { "cell_type": "markdown", "id": "08110153", "metadata": {}, "source": [ "Дата, с которой у нас начинается предсказание:" ] }, { "cell_type": "code", "execution_count": 879, "id": "adb08ce3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Timestamp('2021-09-23 00:00:00')" ] }, "execution_count": 879, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.index[x]" ] }, { "cell_type": "markdown", "id": "f218d4d3", "metadata": {}, "source": [ "Итоговый результат предсказания на 30 дней с 23 сентября 2021:" ] }, { "cell_type": "code", "execution_count": 880, "id": "b498f1da", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data_y[x:rescaled_prediction.shape[0]+x] = rescaled_prediction[:,0]\n", "figure(figsize=(14, 5), dpi=80)\n", "plt.plot([df.index[x],df.index[x]], [0,40000],\n", " linestyle='dashed', color='gray',\n", " label ='Начало предсказания')\n", "plt.plot(df.index,df['Заражений за день'],\n", " label ='Реальные данные')\n", "plt.plot(df.index, data_y,\n", " label ='Предсказание на ближайшие 30 дней')\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('Весь исследуемый диапазон')\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 881, "id": "56bd4c7a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure(figsize=(13, 6), dpi=80)\n", "plt.plot([df.index[x],df.index[x]], [0,45000],\n", " linestyle='dashed', color='gray',\n", " label ='Начало предсказания')\n", "plt.plot(df.index,df['Заражений за день'],\n", " label ='Реальные данные')\n", "plt.plot(df.index, data_y,\n", " label ='Предсказание на ближайшие 30 дней')\n", "plt.xlabel('Дата')\n", "plt.ylabel('Число заболевших')\n", "plt.title('Прогноз заболеваемости')\n", "plt.legend()\n", "plt.xlim([df.index[x-80], df.index[x+79]])\n", "plt.ylim([15000, 43000])\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "d9f668c4", "metadata": {}, "source": [ "Тем самым мы на самом начале новой волны предсказали значительный рост случаев заражения в течение ближайшего месяца. Сеть с задачей предсказания справилась успешно." ] }, { "cell_type": "markdown", "id": "c56540a3", "metadata": {}, "source": [ "Если же предсказывать, начиная с 13 октября 2021 года (в период разгара новой волны), и запросить модель выдать прогноз на ближайшие 70 дней, то модель очень точно предскажет конец волны и начало скорого спада заболеваемости" ] }, { "cell_type": "markdown", "id": "4d6456fc", "metadata": {}, "source": [ "

\"kolesnokov__dima\" " ] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }