Adaboost-GRU_crypto.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"accelerator":"GPU","colab":{"name":"Adaboost-GRU_crypto.ipynb","provenance":[],"collapsed_sections":[],"machine_shape":"hm","authorship_tag":"ABX9TyMd0jOF24xFeJMxHjAD2STZ"},"kernelspec":{"display_name":"Python 3","name":"python3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"0Hdp752jaZ0T"},"source":["# Default Setting"]},{"cell_type":"markdown","metadata":{"id":"9u4ey8c0cRHp"},"source":["Executed in Colab pro environment.\n","\n","* ML Framework\n","   - Python 3.7.10\n","   - Tensorflow 2.5.0\n","\n","* Hardware\n","   - RAM: 12.7G \n","   - CPU: Intel(R) Xeon(R) CPU @ 2.30GHz (1core)\n","   - GPU: Tesla P100-PCIE-16GB"]},{"cell_type":"markdown","metadata":{"id":"4jLTRYPxgd6e"},"source":["# 0. import packages"]},{"cell_type":"code","metadata":{"id":"VdQN_EyWgm_7","executionInfo":{"status":"ok","timestamp":1622374855615,"user_tz":-540,"elapsed":3302,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["# 빗썸 가상화폐 데이터 모듈\n","!pip install -q pybithumb"],"execution_count":1,"outputs":[]},{"cell_type":"code","metadata":{"id":"GSaG1Ilbi5lB","executionInfo":{"status":"ok","timestamp":1622374857515,"user_tz":-540,"elapsed":1903,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["import numpy as np\n","import pandas as pd\n","import time\n","from tqdm import tqdm\n","import pybithumb\n","import matplotlib.pyplot as plt\n","from sklearn.preprocessing import MinMaxScaler\n","from sklearn.model_selection import train_test_split\n","from tensorflow.keras import Sequential\n","from tensorflow.keras.layers import Dense, GRU, Dropout, LSTM, InputLayer\n","from tensorflow.keras.wrappers.scikit_learn import KerasRegressor\n","from sklearn.ensemble import AdaBoostRegressor"],"execution_count":2,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"YwaN7tb9gXhs"},"source":["# 2. Data Preprocessing"]},{"cell_type":"code","metadata":{"id":"76xu0w0uVYhj","executionInfo":{"status":"ok","timestamp":1622374857911,"user_tz":-540,"elapsed":398,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["mydf = pybithumb.get_ohlcv(\"ETH\",interval='hour').reset_index()"],"execution_count":3,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":204},"id":"0aUWEJiO0y2m","executionInfo":{"status":"ok","timestamp":1622374857911,"user_tz":-540,"elapsed":11,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"51cb01c0-34bc-4e2d-cd01-ac079e0578fd"},"source":["mydf.head()"],"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/html":["<div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  <thead>\n","    <tr style=\"text-align: right;\">\n","      <th></th>\n","      <th>time</th>\n","      <th>open</th>\n","      <th>high</th>\n","      <th>low</th>\n","      <th>close</th>\n","      <th>volume</th>\n","    </tr>\n","  </thead>\n","  <tbody>\n","    <tr>\n","      <th>0</th>\n","      <td>2020-11-30 21:00:00</td>\n","      <td>643000.0</td>\n","      <td>651000.0</td>\n","      <td>643000.0</td>\n","      <td>651000.0</td>\n","      <td>6306.955222</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>2020-11-30 22:00:00</td>\n","      <td>651500.0</td>\n","      <td>657000.0</td>\n","      <td>647000.0</td>\n","      <td>653500.0</td>\n","      <td>6637.429368</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>2020-11-30 23:00:00</td>\n","      <td>653500.0</td>\n","      <td>660000.0</td>\n","      <td>646500.0</td>\n","      <td>648000.0</td>\n","      <td>10275.021635</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>2020-12-01 00:00:00</td>\n","      <td>649000.0</td>\n","      <td>654500.0</td>\n","      <td>644500.0</td>\n","      <td>646000.0</td>\n","      <td>8321.061685</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>2020-12-01 01:00:00</td>\n","      <td>645500.0</td>\n","      <td>660000.0</td>\n","      <td>645500.0</td>\n","      <td>650500.0</td>\n","      <td>5272.889987</td>\n","    </tr>\n","  </tbody>\n","</table>\n","</div>"],"text/plain":["                 time      open      high       low     close        volume\n","0 2020-11-30 21:00:00  643000.0  651000.0  643000.0  651000.0   6306.955222\n","1 2020-11-30 22:00:00  651500.0  657000.0  647000.0  653500.0   6637.429368\n","2 2020-11-30 23:00:00  653500.0  660000.0  646500.0  648000.0  10275.021635\n","3 2020-12-01 00:00:00  649000.0  654500.0  644500.0  646000.0   8321.061685\n","4 2020-12-01 01:00:00  645500.0  660000.0  645500.0  650500.0   5272.889987"]},"metadata":{"tags":[]},"execution_count":4}]},{"cell_type":"code","metadata":{"id":"yDx2k1TqmvkK","executionInfo":{"status":"ok","timestamp":1622374857912,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["plt.rcParams[\"figure.figsize\"] = (15,10)"],"execution_count":5,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":624},"id":"c_rRfzmMjLzJ","executionInfo":{"status":"ok","timestamp":1622374858356,"user_tz":-540,"elapsed":452,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"4f17413f-ddae-4edb-bf92-69f7ba371da9"},"source":["plt.plot(mydf['open'])\n","plt.title('ETH')"],"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'ETH')"]},"metadata":{"tags":[]},"execution_count":6},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x720 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"KDmXCipdvkZt","executionInfo":{"status":"ok","timestamp":1622374858357,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["def preprocess(series, window_size=None, scaling=True):\n","\n","    if window_size!=None:\n","        series = series.rolling(window_size, min_periods=0).mean()\n","    array = np.array(series)\n","    \n","    if scaling==True:\n","        scaler = MinMaxScaler()\n","        training_data = scaler.fit_transform(array.reshape(-1,1))\n","    else:\n","        scaler = None\n","\n","    return training_data, scaler"],"execution_count":7,"outputs":[]},{"cell_type":"code","metadata":{"id":"pD-LXGYddHBv","executionInfo":{"status":"ok","timestamp":1622374858357,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["def make_dataset(training_data, t, h=0, test_size=0.2):\n","    \n","    X_train = []\n","    y_train = []\n","    for i in range(t, len(training_data)-h):\n","        X_train.append(training_data[i-t:i])\n","        y_train.append(training_data[i+h])\n","    X = np.array(X_train)\n","    y = np.array(y_train)\n","\n","    X_train,X_test,y_train,y_test = train_test_split(X, y, test_size=test_size, shuffle=False)\n","\n","    return X_train,X_test,y_train,y_test"],"execution_count":8,"outputs":[]},{"cell_type":"code","metadata":{"id":"Ja18LLvgwFw6","executionInfo":{"status":"ok","timestamp":1622374858359,"user_tz":-540,"elapsed":9,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["training_data, scaler = preprocess(mydf['open'], window_size=10)"],"execution_count":9,"outputs":[]},{"cell_type":"code","metadata":{"id":"qvhx8d_YhZPf","executionInfo":{"status":"ok","timestamp":1622374858359,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["X_train,X_test,y_train,y_test = make_dataset(training_data, t = 168)"],"execution_count":10,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"LU6COe313FG_"},"source":["# MAE, MSE, RMSE"]},{"cell_type":"code","metadata":{"id":"JSBXDTkK3Hj1","executionInfo":{"status":"ok","timestamp":1622374858360,"user_tz":-540,"elapsed":9,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["def MAE(y_true, y_pred):\n","    return \"{:.2e}\".format(np.mean(np.abs(y_true-y_pred)))\n","\n","def MSE(y_true, y_pred):\n","    return \"{:.2e}\".format(np.mean(np.square(y_true-y_pred)))\n","\n","def RMSE(y_true, y_pred):\n","    return \"{:.2e}\".format(np.sqrt(np.mean(np.square(y_true-y_pred))))"],"execution_count":11,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"G2Ep7eHWpvH2"},"source":["# GRU-adaboost FIT"]},{"cell_type":"code","metadata":{"id":"pzvx8uQAdekA","executionInfo":{"status":"ok","timestamp":1622374859431,"user_tz":-540,"elapsed":1079,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model = Sequential()\n","model.add(InputLayer(input_shape=(X_train.shape[1],1)))\n","model.add(GRU(units=128))\n","model.add(Dropout(0.5))\n","model.add(Dense(units=1))"],"execution_count":12,"outputs":[]},{"cell_type":"code","metadata":{"id":"5o5U7e6uemqe","executionInfo":{"status":"ok","timestamp":1622374859431,"user_tz":-540,"elapsed":7,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model.compile(loss='mean_squared_error', optimizer='adam')"],"execution_count":13,"outputs":[]},{"cell_type":"code","metadata":{"id":"1rgZh7rVfWbS","executionInfo":{"status":"ok","timestamp":1622374859432,"user_tz":-540,"elapsed":7,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["# adaboost\n","GRU_Predictors = KerasRegressor(build_fn=lambda:model, epochs=20, batch_size=30)\n","final_model = AdaBoostRegressor(GRU_Predictors, n_estimators=5, random_state=42)"],"execution_count":14,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hH0N9R-Lgwcm","executionInfo":{"status":"ok","timestamp":1622374943039,"user_tz":-540,"elapsed":83613,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"378ced05-326a-469f-f201-580a5393d6c2"},"source":["final_model.fit(X_train,y_train)"],"execution_count":15,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/sklearn/utils/validation.py:760: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n","  y = column_or_1d(y, warn=True)\n"],"name":"stderr"},{"output_type":"stream","text":["Epoch 1/20\n","112/112 [==============================] - 4s 9ms/step - loss: 0.0055\n","Epoch 2/20\n","112/112 [==============================] - 1s 8ms/step - loss: 9.2590e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 8ms/step - loss: 7.9299e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 8ms/step - loss: 6.9253e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 8ms/step - loss: 6.3085e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 8ms/step - loss: 6.1664e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 8ms/step - loss: 5.5611e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 8ms/step - loss: 5.1749e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 8ms/step - loss: 4.7786e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 9ms/step - loss: 4.3924e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 9ms/step - loss: 4.4698e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.8703e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.8092e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.6540e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.1388e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.9692e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.0641e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7578e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5694e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5227e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7399e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7372e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.8114e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7257e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7439e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.2322e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4952e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4613e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4879e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6134e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6004e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3360e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3648e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3503e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4160e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 8ms/step - loss: 2.3568e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 8ms/step - loss: 2.4054e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5318e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5009e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5346e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3265e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5738e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3342e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.2679e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4438e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5175e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4149e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4380e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.2809e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.2432e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4135e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4541e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6118e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7282e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.3006e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.1693e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 8ms/step - loss: 2.4899e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.4595e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.2007e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5835e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.1439e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.9950e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.0670e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.8311e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.8712e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 9ms/step - loss: 3.0808e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7176e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6642e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 8ms/step - loss: 2.8156e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.9557e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7656e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.8373e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.9727e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6280e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.7365e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.8890e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.5889e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6691e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6650e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 9ms/step - loss: 2.6781e-04\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["AdaBoostRegressor(base_estimator=<tensorflow.python.keras.wrappers.scikit_learn.KerasRegressor object at 0x7f02400a9490>,\n","                  learning_rate=1.0, loss='linear', n_estimators=5,\n","                  random_state=42)"]},"metadata":{"tags":[]},"execution_count":15}]},{"cell_type":"code","metadata":{"id":"-jzrCMOYwpKh","executionInfo":{"status":"ok","timestamp":1622374943409,"user_tz":-540,"elapsed":382,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["preds = final_model.predict(X_test)\n","preds = scaler.inverse_transform(preds.reshape(-1,1))\n","preds_series = np.hstack([mydf['open'][:-len(preds)], preds.squeeze(1)])"],"execution_count":16,"outputs":[]},{"cell_type":"code","metadata":{"id":"53UPU833qavt","colab":{"base_uri":"https://localhost:8080/","height":607},"executionInfo":{"status":"ok","timestamp":1622374943982,"user_tz":-540,"elapsed":575,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"443fe8e0-88d5-472d-9dc9-50637d84ab56"},"source":["plt.plot(preds_series, label='prediction')\n","plt.plot(mydf['open'], label='true')\n","plt.axvline(x=len(mydf['open'])-len(preds), color='r')\n","plt.legend()\n","plt.title('Adaboost-GRU FIT')\n","plt.show()"],"execution_count":17,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x720 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"KXu12zit4A_7","executionInfo":{"status":"ok","timestamp":1622374943983,"user_tz":-540,"elapsed":12,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["y_true = mydf['open'][-len(preds):]\n","y_pred = preds.squeeze(1)"],"execution_count":18,"outputs":[]},{"cell_type":"code","metadata":{"id":"VdOs3kYLnPuH","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1622374943983,"user_tz":-540,"elapsed":11,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"61ab01b1-4c30-4cf7-b868-db8942066b7d"},"source":["print(MAE(y_true, y_pred))\n","print(MSE(y_true, y_pred))\n","print(RMSE(y_true, y_pred))"],"execution_count":19,"outputs":[{"output_type":"stream","text":["7.92e+04\n","1.23e+10\n","1.11e+05\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"ChLTsGkev1iY"},"source":["# LSTM-adaboost FIT"]},{"cell_type":"code","metadata":{"id":"V1DIz3MLv06Y","executionInfo":{"status":"ok","timestamp":1622374944689,"user_tz":-540,"elapsed":711,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model = Sequential()\n","model.add(InputLayer(input_shape=(X_train.shape[1],1)))\n","model.add(LSTM(units=128))\n","model.add(Dropout(0.5))\n","model.add(Dense(units=1))"],"execution_count":20,"outputs":[]},{"cell_type":"code","metadata":{"id":"tvnU6m43v7K8","executionInfo":{"status":"ok","timestamp":1622374944690,"user_tz":-540,"elapsed":6,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model.compile(loss='mean_squared_error', optimizer='adam')"],"execution_count":21,"outputs":[]},{"cell_type":"code","metadata":{"id":"klgbFooOv-pf","executionInfo":{"status":"ok","timestamp":1622374944690,"user_tz":-540,"elapsed":5,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["LSTM_Predictors = KerasRegressor(build_fn=lambda:model, epochs=20, batch_size=30)\n","final_model = AdaBoostRegressor(LSTM_Predictors, n_estimators=5, random_state=42)"],"execution_count":22,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vBdhcghNwAbO","executionInfo":{"status":"ok","timestamp":1622375061986,"user_tz":-540,"elapsed":117300,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"52467ba6-c301-4537-ce9d-44e94f229118"},"source":["final_model.fit(X_train,y_train)"],"execution_count":23,"outputs":[{"output_type":"stream","text":["/usr/local/lib/python3.7/dist-packages/sklearn/utils/validation.py:760: DataConversionWarning: A column-vector y was passed when a 1d array was expected. Please change the shape of y to (n_samples, ), for example using ravel().\n","  y = column_or_1d(y, warn=True)\n"],"name":"stderr"},{"output_type":"stream","text":["Epoch 1/20\n","112/112 [==============================] - 3s 10ms/step - loss: 0.0040\n","Epoch 2/20\n","112/112 [==============================] - 1s 10ms/step - loss: 9.5776e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 10ms/step - loss: 7.7908e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 10ms/step - loss: 7.6283e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 10ms/step - loss: 6.4653e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 10ms/step - loss: 5.8055e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 10ms/step - loss: 4.9498e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 10ms/step - loss: 4.9507e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 10ms/step - loss: 4.2566e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 10ms/step - loss: 4.4694e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 10ms/step - loss: 4.0940e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.7889e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.2467e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.1087e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.3554e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.8512e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5472e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7472e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6732e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4157e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.9436e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.0163e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7742e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6006e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4637e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6786e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5261e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4388e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6489e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3362e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4484e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3430e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4423e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5229e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6556e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5568e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4496e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5706e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4956e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4697e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6030e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3183e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3748e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4727e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4810e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4518e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.2374e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3783e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5550e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4474e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3514e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4553e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3530e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3715e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4792e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5025e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.2883e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.2857e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4059e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.3414e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4760e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7159e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6048e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5650e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.9162e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7573e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5091e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7055e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7193e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5886e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6468e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6187e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6687e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7256e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5850e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5896e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6097e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5549e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4765e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.4947e-04\n","Epoch 1/20\n","112/112 [==============================] - 1s 10ms/step - loss: 3.1236e-04\n","Epoch 2/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7991e-04\n","Epoch 3/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7013e-04\n","Epoch 4/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7960e-04\n","Epoch 5/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7036e-04\n","Epoch 6/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7417e-04\n","Epoch 7/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7536e-04\n","Epoch 8/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6292e-04\n","Epoch 9/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.8261e-04\n","Epoch 10/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7722e-04\n","Epoch 11/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6045e-04\n","Epoch 12/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7867e-04\n","Epoch 13/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6071e-04\n","Epoch 14/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6765e-04\n","Epoch 15/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6413e-04\n","Epoch 16/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5886e-04\n","Epoch 17/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.6341e-04\n","Epoch 18/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.5138e-04\n","Epoch 19/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.7451e-04\n","Epoch 20/20\n","112/112 [==============================] - 1s 10ms/step - loss: 2.8390e-04\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["AdaBoostRegressor(base_estimator=<tensorflow.python.keras.wrappers.scikit_learn.KerasRegressor object at 0x7f01d0246ad0>,\n","                  learning_rate=1.0, loss='linear', n_estimators=5,\n","                  random_state=42)"]},"metadata":{"tags":[]},"execution_count":23}]},{"cell_type":"code","metadata":{"id":"pFAqE7ZUwE69","executionInfo":{"status":"ok","timestamp":1622375063214,"user_tz":-540,"elapsed":1237,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["preds = final_model.predict(X_test)\n","preds = scaler.inverse_transform(preds.reshape(-1,1))\n","preds_series = np.hstack([mydf['open'][:-len(preds)], preds.squeeze(1)])"],"execution_count":24,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":607},"id":"E6oJ3Imx_R74","executionInfo":{"status":"ok","timestamp":1622375063215,"user_tz":-540,"elapsed":13,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"6b3c2e37-e358-432b-d263-03731ab675c0"},"source":["plt.plot(preds_series, label='prediction')\n","plt.plot(mydf['open'], label='true')\n","plt.axvline(x=len(mydf['open'])-len(preds), color='r')\n","plt.legend()\n","plt.title('Adaboost-LSTM FIT')\n","plt.show()"],"execution_count":25,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x720 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"4z0k-cOv_UQr","executionInfo":{"status":"ok","timestamp":1622375063215,"user_tz":-540,"elapsed":9,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["y_true = mydf['open'][-len(preds):]\n","y_pred = preds.squeeze(1)"],"execution_count":26,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"jLHVuUbN4u6R","executionInfo":{"status":"ok","timestamp":1622375063571,"user_tz":-540,"elapsed":364,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"f771855a-c08e-4e15-dfe1-a3e65a83e48a"},"source":["print(MAE(y_true, y_pred))\n","print(MSE(y_true, y_pred))\n","print(RMSE(y_true, y_pred))"],"execution_count":27,"outputs":[{"output_type":"stream","text":["9.76e+04\n","1.49e+10\n","1.22e+05\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"PEjpMr53R-D5"},"source":["# GRU Fit"]},{"cell_type":"code","metadata":{"id":"A8URo_aiR492","executionInfo":{"status":"ok","timestamp":1622375063571,"user_tz":-540,"elapsed":5,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model = Sequential()\n","model.add(InputLayer(input_shape=(X_train.shape[1],1)))\n","model.add(GRU(units=128))\n","model.add(Dropout(0.5))\n","model.add(Dense(units=1))"],"execution_count":28,"outputs":[]},{"cell_type":"code","metadata":{"id":"1jlXOdS7SOmJ","executionInfo":{"status":"ok","timestamp":1622375063572,"user_tz":-540,"elapsed":5,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model.compile(loss='mean_squared_error', optimizer='adam')"],"execution_count":29,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"SGye99MeSOym","executionInfo":{"status":"ok","timestamp":1622375082696,"user_tz":-540,"elapsed":19128,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"c27479c8-7c45-4a46-fa9a-be0d2e867dc4"},"source":["model.fit(X_train,y_train,batch_size=30,epochs=20,validation_split=0.2)"],"execution_count":30,"outputs":[{"output_type":"stream","text":["Epoch 1/20\n","89/89 [==============================] - 3s 14ms/step - loss: 0.0031 - val_loss: 1.9511e-04\n","Epoch 2/20\n","89/89 [==============================] - 1s 10ms/step - loss: 6.0257e-04 - val_loss: 2.2880e-04\n","Epoch 3/20\n","89/89 [==============================] - 1s 10ms/step - loss: 5.0351e-04 - val_loss: 9.7975e-05\n","Epoch 4/20\n","89/89 [==============================] - 1s 10ms/step - loss: 4.5455e-04 - val_loss: 8.7406e-05\n","Epoch 5/20\n","89/89 [==============================] - 1s 10ms/step - loss: 4.0057e-04 - val_loss: 1.5397e-04\n","Epoch 6/20\n","89/89 [==============================] - 1s 10ms/step - loss: 3.5338e-04 - val_loss: 1.6214e-05\n","Epoch 7/20\n","89/89 [==============================] - 1s 10ms/step - loss: 3.2508e-04 - val_loss: 5.8658e-05\n","Epoch 8/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.9006e-04 - val_loss: 1.2104e-04\n","Epoch 9/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.5875e-04 - val_loss: 1.3339e-04\n","Epoch 10/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.4363e-04 - val_loss: 1.6509e-05\n","Epoch 11/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.3799e-04 - val_loss: 1.2658e-05\n","Epoch 12/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.2796e-04 - val_loss: 4.8660e-05\n","Epoch 13/20\n","89/89 [==============================] - 1s 10ms/step - loss: 2.0109e-04 - val_loss: 5.6916e-05\n","Epoch 14/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.9206e-04 - val_loss: 7.2298e-05\n","Epoch 15/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.7862e-04 - val_loss: 7.2547e-05\n","Epoch 16/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.7887e-04 - val_loss: 8.8907e-06\n","Epoch 17/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.5173e-04 - val_loss: 3.4693e-05\n","Epoch 18/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.5692e-04 - val_loss: 9.6441e-05\n","Epoch 19/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.5296e-04 - val_loss: 1.0451e-04\n","Epoch 20/20\n","89/89 [==============================] - 1s 10ms/step - loss: 1.4518e-04 - val_loss: 1.9300e-04\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["<tensorflow.python.keras.callbacks.History at 0x7f01b3b29b90>"]},"metadata":{"tags":[]},"execution_count":30}]},{"cell_type":"code","metadata":{"id":"eoFIAvnkSQ5-","executionInfo":{"status":"ok","timestamp":1622375083329,"user_tz":-540,"elapsed":644,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["preds = model.predict(X_test)\n","preds = scaler.inverse_transform(preds.reshape(-1,1))\n","preds_series = np.hstack([mydf['open'][:-len(preds)], preds.squeeze(1)])"],"execution_count":31,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":607},"id":"Mt0b9XDjS569","executionInfo":{"status":"ok","timestamp":1622375083870,"user_tz":-540,"elapsed":544,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"2a80cdfd-d63e-47d0-ffbe-ab92b314ff85"},"source":["plt.plot(preds_series, label='prediction')\n","plt.plot(mydf['open'], label='true')\n","plt.axvline(x=len(mydf['open'])-len(preds), color='r')\n","plt.legend()\n","plt.title('GRU FIT')\n","plt.show()"],"execution_count":32,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x720 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"vJXUW20sS76C","executionInfo":{"status":"ok","timestamp":1622375083871,"user_tz":-540,"elapsed":9,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["y_true = mydf['open'][-len(preds):]\n","y_pred = preds.squeeze(1)"],"execution_count":33,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ODmO7Uy259Ch","executionInfo":{"status":"ok","timestamp":1622375083871,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"53e68ca6-a1b6-4338-f6dc-f1f811e8fc0c"},"source":["print(MAE(y_true, y_pred))\n","print(MSE(y_true, y_pred))\n","print(RMSE(y_true, y_pred))"],"execution_count":34,"outputs":[{"output_type":"stream","text":["1.50e+05\n","3.06e+10\n","1.75e+05\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"8CDPs_g1TJAj"},"source":["# LSTM FIT"]},{"cell_type":"code","metadata":{"id":"_c8koubDTKm9","executionInfo":{"status":"ok","timestamp":1622375084488,"user_tz":-540,"elapsed":622,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model = Sequential()\n","model.add(InputLayer(input_shape=(X_train.shape[1],1)))\n","model.add(LSTM(units=128))\n","model.add(Dropout(0.5))\n","model.add(Dense(units=1))"],"execution_count":35,"outputs":[]},{"cell_type":"code","metadata":{"id":"_WzpeH4TTM2v","executionInfo":{"status":"ok","timestamp":1622375084489,"user_tz":-540,"elapsed":4,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["model.compile(loss='mean_squared_error', optimizer='adam')"],"execution_count":36,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"IprzuxYYTN9w","executionInfo":{"status":"ok","timestamp":1622375106989,"user_tz":-540,"elapsed":22503,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"02646a1f-86da-4fdf-b3e7-32abe0970b0b"},"source":["model.fit(X_train,y_train,batch_size=30,epochs=20,validation_split=0.2)"],"execution_count":37,"outputs":[{"output_type":"stream","text":["Epoch 1/20\n","89/89 [==============================] - 3s 16ms/step - loss: 0.0028 - val_loss: 2.6911e-04\n","Epoch 2/20\n","89/89 [==============================] - 1s 12ms/step - loss: 5.7852e-04 - val_loss: 6.3622e-04\n","Epoch 3/20\n","89/89 [==============================] - 1s 12ms/step - loss: 4.9562e-04 - val_loss: 1.3297e-04\n","Epoch 4/20\n","89/89 [==============================] - 1s 12ms/step - loss: 4.6960e-04 - val_loss: 1.3676e-04\n","Epoch 5/20\n","89/89 [==============================] - 1s 12ms/step - loss: 3.8529e-04 - val_loss: 2.9760e-04\n","Epoch 6/20\n","89/89 [==============================] - 1s 12ms/step - loss: 3.9958e-04 - val_loss: 1.7862e-04\n","Epoch 7/20\n","89/89 [==============================] - 1s 12ms/step - loss: 3.5736e-04 - val_loss: 7.6680e-05\n","Epoch 8/20\n","89/89 [==============================] - 1s 12ms/step - loss: 3.2584e-04 - val_loss: 1.1203e-04\n","Epoch 9/20\n","89/89 [==============================] - 1s 11ms/step - loss: 2.8554e-04 - val_loss: 1.4200e-04\n","Epoch 10/20\n","89/89 [==============================] - 1s 11ms/step - loss: 2.9546e-04 - val_loss: 2.2426e-04\n","Epoch 11/20\n","89/89 [==============================] - 1s 11ms/step - loss: 2.5210e-04 - val_loss: 6.8961e-05\n","Epoch 12/20\n","89/89 [==============================] - 1s 11ms/step - loss: 2.1471e-04 - val_loss: 6.9292e-04\n","Epoch 13/20\n","89/89 [==============================] - 1s 11ms/step - loss: 2.1003e-04 - val_loss: 6.4416e-05\n","Epoch 14/20\n","89/89 [==============================] - 1s 11ms/step - loss: 1.9800e-04 - val_loss: 5.7843e-05\n","Epoch 15/20\n","89/89 [==============================] - 1s 12ms/step - loss: 1.9453e-04 - val_loss: 5.0405e-04\n","Epoch 16/20\n","89/89 [==============================] - 1s 12ms/step - loss: 1.7663e-04 - val_loss: 1.6893e-04\n","Epoch 17/20\n","89/89 [==============================] - 1s 11ms/step - loss: 1.7751e-04 - val_loss: 6.6659e-05\n","Epoch 18/20\n","89/89 [==============================] - 1s 11ms/step - loss: 1.7570e-04 - val_loss: 2.8032e-04\n","Epoch 19/20\n","89/89 [==============================] - 1s 11ms/step - loss: 1.5362e-04 - val_loss: 5.7201e-05\n","Epoch 20/20\n","89/89 [==============================] - 1s 11ms/step - loss: 1.4615e-04 - val_loss: 1.1764e-04\n"],"name":"stdout"},{"output_type":"execute_result","data":{"text/plain":["<tensorflow.python.keras.callbacks.History at 0x7f01b1e1ad90>"]},"metadata":{"tags":[]},"execution_count":37}]},{"cell_type":"code","metadata":{"id":"1-Uriaf2TPUE","executionInfo":{"status":"ok","timestamp":1622375107680,"user_tz":-540,"elapsed":703,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["preds = model.predict(X_test)\n","preds = scaler.inverse_transform(preds.reshape(-1,1))\n","preds_series = np.hstack([mydf['open'][:-len(preds)], preds.squeeze(1)])"],"execution_count":38,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":607},"id":"P8VSu7ZkTo9M","executionInfo":{"status":"ok","timestamp":1622375107681,"user_tz":-540,"elapsed":13,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"0cd37922-ef7d-4a1e-8e0d-dacef981ee23"},"source":["plt.plot(preds_series, label='prediction')\n","plt.plot(mydf['open'], label='true')\n","plt.axvline(x=len(mydf['open'])-len(preds), color='r')\n","plt.legend()\n","plt.title('LSTM FIT')\n","plt.show()"],"execution_count":39,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x720 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"sqXaD7CNTrq3","executionInfo":{"status":"ok","timestamp":1622375107681,"user_tz":-540,"elapsed":11,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":["y_true = mydf['open'][-len(preds):]\n","y_pred = preds.squeeze(1)"],"execution_count":40,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"9wpds5i_1zIj","executionInfo":{"status":"ok","timestamp":1622375107682,"user_tz":-540,"elapsed":11,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}},"outputId":"f4b84801-b350-41d0-f3d8-22fb0887925d"},"source":["print(MAE(y_true, y_pred))\n","print(MSE(y_true, y_pred))\n","print(RMSE(y_true, y_pred))"],"execution_count":41,"outputs":[{"output_type":"stream","text":["1.36e+05\n","2.75e+10\n","1.66e+05\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"1SF1cJgo0cbx","executionInfo":{"status":"ok","timestamp":1622375107682,"user_tz":-540,"elapsed":8,"user":{"displayName":"‍차지수(학부학생/사회과학대학 언론홍보영상학)","photoUrl":"","userId":"01051544767581313229"}}},"source":[""],"execution_count":41,"outputs":[]}]}