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stock-prediction-pytorch.ipynb
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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "metadata": { | |
| "id": "view-in-github", | |
| "colab_type": "text" | |
| }, | |
| "source": [ | |
| "<a href=\"https://colab.research.google.com/gist/moneebullah25/dcc05502a18f0feab7855fce009356a8/stock-prediction-pytorch.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "!pip install yfinance numpy pandas matplotlib seaborn" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "M4lYKc9DfB4b", | |
| "outputId": "11b93174-8b97-49a2-8c9b-8dbcdc5d6cbe" | |
| }, | |
| "execution_count": 1, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Requirement already satisfied: yfinance in /usr/local/lib/python3.10/dist-packages (0.2.31)\n", | |
| "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (1.23.5)\n", | |
| "Requirement already satisfied: pandas in /usr/local/lib/python3.10/dist-packages (1.5.3)\n", | |
| "Requirement already satisfied: matplotlib in /usr/local/lib/python3.10/dist-packages (3.7.1)\n", | |
| "Requirement already satisfied: seaborn in /usr/local/lib/python3.10/dist-packages (0.12.2)\n", | |
| "Requirement already satisfied: requests>=2.31 in /usr/local/lib/python3.10/dist-packages (from yfinance) (2.31.0)\n", | |
| "Requirement already satisfied: multitasking>=0.0.7 in /usr/local/lib/python3.10/dist-packages (from yfinance) (0.0.11)\n", | |
| "Requirement already satisfied: lxml>=4.9.1 in /usr/local/lib/python3.10/dist-packages (from yfinance) (4.9.3)\n", | |
| "Requirement already satisfied: appdirs>=1.4.4 in /usr/local/lib/python3.10/dist-packages (from yfinance) (1.4.4)\n", | |
| "Requirement already satisfied: pytz>=2022.5 in /usr/local/lib/python3.10/dist-packages (from yfinance) (2023.3.post1)\n", | |
| "Requirement already satisfied: frozendict>=2.3.4 in /usr/local/lib/python3.10/dist-packages (from yfinance) (2.3.8)\n", | |
| "Requirement already satisfied: peewee>=3.16.2 in /usr/local/lib/python3.10/dist-packages (from yfinance) (3.16.3)\n", | |
| "Requirement already satisfied: beautifulsoup4>=4.11.1 in /usr/local/lib/python3.10/dist-packages (from yfinance) (4.11.2)\n", | |
| "Requirement already satisfied: html5lib>=1.1 in /usr/local/lib/python3.10/dist-packages (from yfinance) (1.1)\n", | |
| "Requirement already satisfied: python-dateutil>=2.8.1 in /usr/local/lib/python3.10/dist-packages (from pandas) (2.8.2)\n", | |
| "Requirement already satisfied: contourpy>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.1.1)\n", | |
| "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (0.12.0)\n", | |
| "Requirement already satisfied: fonttools>=4.22.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (4.43.0)\n", | |
| "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (1.4.5)\n", | |
| "Requirement already satisfied: packaging>=20.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (23.2)\n", | |
| "Requirement already satisfied: pillow>=6.2.0 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (9.4.0)\n", | |
| "Requirement already satisfied: pyparsing>=2.3.1 in /usr/local/lib/python3.10/dist-packages (from matplotlib) (3.1.1)\n", | |
| "Requirement already satisfied: soupsieve>1.2 in /usr/local/lib/python3.10/dist-packages (from beautifulsoup4>=4.11.1->yfinance) (2.5)\n", | |
| "Requirement already satisfied: six>=1.9 in /usr/local/lib/python3.10/dist-packages (from html5lib>=1.1->yfinance) (1.16.0)\n", | |
| "Requirement already satisfied: webencodings in /usr/local/lib/python3.10/dist-packages (from html5lib>=1.1->yfinance) (0.5.1)\n", | |
| "Requirement already satisfied: charset-normalizer<4,>=2 in /usr/local/lib/python3.10/dist-packages (from requests>=2.31->yfinance) (3.3.0)\n", | |
| "Requirement already satisfied: idna<4,>=2.5 in /usr/local/lib/python3.10/dist-packages (from requests>=2.31->yfinance) (3.4)\n", | |
| "Requirement already satisfied: urllib3<3,>=1.21.1 in /usr/local/lib/python3.10/dist-packages (from requests>=2.31->yfinance) (2.0.6)\n", | |
| "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.10/dist-packages (from requests>=2.31->yfinance) (2023.7.22)\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5", | |
| "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19", | |
| "trusted": true, | |
| "id": "HgGP8i-p-V6E" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import numpy as np # linear algebra\n", | |
| "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n", | |
| "import yfinance as yf" | |
| ], | |
| "execution_count": 93, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "nifty_symbol = \"^NSEI\"\n", | |
| "banknifty_symbol = \"^NSEBANK\"\n", | |
| "\n", | |
| "# Download historical data\n", | |
| "nifty_data = yf.download(nifty_symbol, start=\"2010-01-01\", end=\"2023-01-01\").reset_index()\n", | |
| "banknifty_data = yf.download(banknifty_symbol, start=\"2010-01-01\", end=\"2023-01-01\").reset_index()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "LhN8ZXi0qyA2", | |
| "outputId": "dc6b8c9e-8394-413c-833b-3c3e68066180" | |
| }, | |
| "execution_count": 151, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "[*********************100%%**********************] 1 of 1 completed\n", | |
| "[*********************100%%**********************] 1 of 1 completed\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "lookback = 20 # choose sequence length" | |
| ], | |
| "metadata": { | |
| "id": "zVbv8o2-ql-H" | |
| }, | |
| "execution_count": 152, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "input_dim = 1\n", | |
| "hidden_dim = 128\n", | |
| "num_layers = 4\n", | |
| "output_dim = 1\n", | |
| "num_epochs = 100" | |
| ], | |
| "metadata": { | |
| "id": "_3R8W35eqqTR" | |
| }, | |
| "execution_count": 153, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "ecRchAsN-V6O" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "data = nifty_data\n", | |
| "SYMBOL = nifty_symbol" | |
| ], | |
| "execution_count": 154, | |
| "outputs": [] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "source": [ | |
| "data = data.sort_values('Date')\n", | |
| "data.head()" | |
| ], | |
| "metadata": { | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 206 | |
| }, | |
| "id": "LPRsg1RSq7Y0", | |
| "outputId": "cfe92db2-acb6-4352-9251-d8b4049c3bcc" | |
| }, | |
| "execution_count": 155, | |
| "outputs": [ | |
| { | |
| "output_type": "execute_result", | |
| "data": { | |
| "text/plain": [ | |
| " Date Open High Low Close Adj Close \\\n", | |
| "0 2010-01-04 5200.899902 5238.450195 5167.100098 5232.200195 5232.200195 \n", | |
| "1 2010-01-05 5277.149902 5288.350098 5242.399902 5277.899902 5277.899902 \n", | |
| "2 2010-01-06 5278.149902 5310.850098 5260.049805 5281.799805 5281.799805 \n", | |
| "3 2010-01-07 5281.799805 5302.549805 5244.750000 5263.100098 5263.100098 \n", | |
| "4 2010-01-08 5264.250000 5276.750000 5234.700195 5244.750000 5244.750000 \n", | |
| "\n", | |
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| " <td>2010-01-08</td>\n", | |
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| " async function quickchart(key) {\n", | |
| " const quickchartButtonEl =\n", | |
| " document.querySelector('#' + key + ' button');\n", | |
| " quickchartButtonEl.disabled = true; // To prevent multiple clicks.\n", | |
| " quickchartButtonEl.classList.add('colab-df-spinner');\n", | |
| " try {\n", | |
| " const charts = await google.colab.kernel.invokeFunction(\n", | |
| " 'suggestCharts', [key], {});\n", | |
| " } catch (error) {\n", | |
| " console.error('Error during call to suggestCharts:', error);\n", | |
| " }\n", | |
| " quickchartButtonEl.classList.remove('colab-df-spinner');\n", | |
| " quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n", | |
| " }\n", | |
| " (() => {\n", | |
| " let quickchartButtonEl =\n", | |
| " document.querySelector('#df-b14f6867-3329-41d8-8eb1-ce653ebf25b6 button');\n", | |
| " quickchartButtonEl.style.display =\n", | |
| " google.colab.kernel.accessAllowed ? 'block' : 'none';\n", | |
| " })();\n", | |
| " </script>\n", | |
| "</div>\n", | |
| " </div>\n", | |
| " </div>\n" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "execution_count": 155 | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 909 | |
| }, | |
| "id": "ye0_NCGT-V6Q", | |
| "outputId": "df76e23a-d324-4bb6-82ce-873719e35ed7" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import matplotlib.pyplot as plt\n", | |
| "import seaborn as sns\n", | |
| "\n", | |
| "sns.set_style(\"darkgrid\")\n", | |
| "plt.figure(figsize = (15,9))\n", | |
| "plt.plot(data[['Close']])\n", | |
| "plt.xticks(range(0,data.shape[0],500),data['Date'].loc[::500],rotation=45)\n", | |
| "plt.title(SYMBOL,fontsize=18, fontweight='bold')\n", | |
| "plt.xlabel('Date',fontsize=18)\n", | |
| "plt.ylabel('Close Price (USD)',fontsize=18)\n", | |
| "plt.show()" | |
| ], | |
| "execution_count": 156, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1500x900 with 1 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "id": "78Hwc8Yi-V6R" | |
| }, | |
| "cell_type": "markdown", | |
| "source": [ | |
| "## Normalize data" | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "WzUek2Mv-V6U", | |
| "outputId": "a3578786-b461-49c0-8a26-2801dcccf5d3" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "price = data[['Close']]\n", | |
| "price.info()" | |
| ], | |
| "execution_count": 157, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "<class 'pandas.core.frame.DataFrame'>\n", | |
| "Int64Index: 3189 entries, 0 to 3188\n", | |
| "Data columns (total 1 columns):\n", | |
| " # Column Non-Null Count Dtype \n", | |
| "--- ------ -------------- ----- \n", | |
| " 0 Close 3189 non-null float64\n", | |
| "dtypes: float64(1)\n", | |
| "memory usage: 49.8 KB\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "X2G2m8dv-V6W", | |
| "outputId": "a8aa1022-6eff-4009-8117-c9e4ead76779" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "from sklearn.preprocessing import MinMaxScaler\n", | |
| "\n", | |
| "scaler = MinMaxScaler(feature_range=(-1, 1))\n", | |
| "price['Close'] = scaler.fit_transform(price['Close'].values.reshape(-1,1))" | |
| ], | |
| "execution_count": 158, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stderr", | |
| "text": [ | |
| "<ipython-input-158-77e3f41ac3d3>:4: SettingWithCopyWarning:\n", | |
| "\n", | |
| "\n", | |
| "A value is trying to be set on a copy of a slice from a DataFrame.\n", | |
| "Try using .loc[row_indexer,col_indexer] = value instead\n", | |
| "\n", | |
| "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n", | |
| "\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "VSTwiDZs-V6X" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "def split_data(stock, lookback):\n", | |
| " data_raw = stock.to_numpy() # convert to numpy array\n", | |
| " data = []\n", | |
| "\n", | |
| " # create all possible sequences of length seq_len\n", | |
| " for index in range(len(data_raw) - lookback):\n", | |
| " data.append(data_raw[index: index + lookback])\n", | |
| "\n", | |
| " data = np.array(data);\n", | |
| " test_set_size = int(np.round(0.01*data.shape[0]));\n", | |
| " train_set_size = data.shape[0] - (test_set_size);\n", | |
| "\n", | |
| " x_train = data[:train_set_size,:-1,:]\n", | |
| " y_train = data[:train_set_size,-1,:]\n", | |
| "\n", | |
| " x_test = data[train_set_size:,:-1]\n", | |
| " y_test = data[train_set_size:,-1,:]\n", | |
| "\n", | |
| " return [x_train, y_train, x_test, y_test]" | |
| ], | |
| "execution_count": 159, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "8pSjpwkV-V6Y", | |
| "outputId": "8f679ee4-10d1-4e97-fd6b-d2e2dbfc8cd8" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "x_train, y_train, x_test, y_test = split_data(price, lookback)\n", | |
| "print('x_train.shape = ',x_train.shape)\n", | |
| "print('y_train.shape = ',y_train.shape)\n", | |
| "print('x_test.shape = ',x_test.shape)\n", | |
| "print('y_test.shape = ',y_test.shape)" | |
| ], | |
| "execution_count": 160, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "x_train.shape = (3137, 19, 1)\n", | |
| "y_train.shape = (3137, 1)\n", | |
| "x_test.shape = (32, 19, 1)\n", | |
| "y_test.shape = (32, 1)\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "MS7nxwk6-V6a" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import torch\n", | |
| "import torch.nn as nn\n", | |
| "\n", | |
| "device = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")\n", | |
| "\n", | |
| "x_train = torch.from_numpy(x_train).type(torch.Tensor).to(device)\n", | |
| "x_test = torch.from_numpy(x_test).type(torch.Tensor).to(device)\n", | |
| "y_train_lstm = torch.from_numpy(y_train).type(torch.Tensor).to(device)\n", | |
| "y_test_lstm = torch.from_numpy(y_test).type(torch.Tensor).to(device)\n", | |
| "y_train_gru = torch.from_numpy(y_train).type(torch.Tensor).to(device)\n", | |
| "y_test_gru = torch.from_numpy(y_test).type(torch.Tensor).to(device)" | |
| ], | |
| "execution_count": 161, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "jXZYNVoK-V6c" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "class LSTM(nn.Module):\n", | |
| " def __init__(self, input_dim, hidden_dim, num_layers, output_dim):\n", | |
| " super(LSTM, self).__init__()\n", | |
| " self.hidden_dim = hidden_dim\n", | |
| " self.num_layers = num_layers\n", | |
| "\n", | |
| " self.lstm = nn.LSTM(input_dim, hidden_dim, num_layers, batch_first=True)\n", | |
| " self.fc = nn.Linear(hidden_dim, output_dim)\n", | |
| "\n", | |
| " def forward(self, x):\n", | |
| " h0 = torch.zeros(self.num_layers, x.size(0), self.hidden_dim).requires_grad_().to(device)\n", | |
| " c0 = torch.zeros(self.num_layers, x.size(0), self.hidden_dim).requires_grad_().to(device)\n", | |
| " out, (hn, cn) = self.lstm(x, (h0.detach(), c0.detach()))\n", | |
| " out = self.fc(out[:, -1, :])\n", | |
| " return out" | |
| ], | |
| "execution_count": 162, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "5dU0IlR9-V6c" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "model = LSTM(input_dim=input_dim, hidden_dim=hidden_dim, output_dim=output_dim, num_layers=num_layers).to(device)\n", | |
| "criterion = torch.nn.MSELoss(reduction='mean')\n", | |
| "optimiser = torch.optim.Adam(model.parameters(), lr=0.01)" | |
| ], | |
| "execution_count": 163, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "sLmaWwIk-V6d", | |
| "outputId": "4f31f8bd-e5bb-47cf-9981-d8de5facea93" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import time\n", | |
| "\n", | |
| "hist = np.zeros(num_epochs)\n", | |
| "start_time = time.time()\n", | |
| "lstm = []\n", | |
| "\n", | |
| "for t in range(num_epochs):\n", | |
| " y_train_pred = model(x_train)\n", | |
| "\n", | |
| " loss = criterion(y_train_pred, y_train_lstm)\n", | |
| " print(\"Epoch \", t, \"MSE: \", loss.item())\n", | |
| " hist[t] = loss.item()\n", | |
| "\n", | |
| " optimiser.zero_grad()\n", | |
| " loss.backward()\n", | |
| " optimiser.step()\n", | |
| "\n", | |
| "training_time = time.time()-start_time\n", | |
| "print(\"Training time: {}\".format(training_time))" | |
| ], | |
| "execution_count": 164, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Epoch 0 MSE: 0.3665894865989685\n", | |
| "Epoch 1 MSE: 0.6092400550842285\n", | |
| "Epoch 2 MSE: 0.31511732935905457\n", | |
| "Epoch 3 MSE: 0.3242093026638031\n", | |
| "Epoch 4 MSE: 0.30651625990867615\n", | |
| "Epoch 5 MSE: 0.14207912981510162\n", | |
| "Epoch 6 MSE: 0.5566654801368713\n", | |
| "Epoch 7 MSE: 0.9899041056632996\n", | |
| "Epoch 8 MSE: 0.2684764564037323\n", | |
| "Epoch 9 MSE: 0.1595289707183838\n", | |
| "Epoch 10 MSE: 0.13454312086105347\n", | |
| "Epoch 11 MSE: 0.09969289600849152\n", | |
| "Epoch 12 MSE: 0.08133666962385178\n", | |
| "Epoch 13 MSE: 0.11521723866462708\n", | |
| "Epoch 14 MSE: 0.07139061391353607\n", | |
| "Epoch 15 MSE: 0.08211734145879745\n", | |
| "Epoch 16 MSE: 0.0696960911154747\n", | |
| "Epoch 17 MSE: 0.03640516474843025\n", | |
| "Epoch 18 MSE: 0.0525575652718544\n", | |
| "Epoch 19 MSE: 0.03468840569257736\n", | |
| "Epoch 20 MSE: 0.034832727164030075\n", | |
| "Epoch 21 MSE: 0.04268791526556015\n", | |
| "Epoch 22 MSE: 0.04169536009430885\n", | |
| "Epoch 23 MSE: 0.03625083342194557\n", | |
| "Epoch 24 MSE: 0.029912279918789864\n", | |
| "Epoch 25 MSE: 0.02743448130786419\n", | |
| "Epoch 26 MSE: 0.028846140950918198\n", | |
| "Epoch 27 MSE: 0.026425141841173172\n", | |
| "Epoch 28 MSE: 0.02050119824707508\n", | |
| "Epoch 29 MSE: 0.022782400250434875\n", | |
| "Epoch 30 MSE: 0.014059042558073997\n", | |
| "Epoch 31 MSE: 0.00901748426258564\n", | |
| "Epoch 32 MSE: 0.008795543573796749\n", | |
| "Epoch 33 MSE: 0.00735560292378068\n", | |
| "Epoch 34 MSE: 0.007040848024189472\n", | |
| "Epoch 35 MSE: 0.00621079420670867\n", | |
| "Epoch 36 MSE: 0.005429951008409262\n", | |
| "Epoch 37 MSE: 0.007687616627663374\n", | |
| "Epoch 38 MSE: 0.006134179886430502\n", | |
| "Epoch 39 MSE: 0.002782688708975911\n", | |
| "Epoch 40 MSE: 0.0037366594187915325\n", | |
| "Epoch 41 MSE: 0.00463178800418973\n", | |
| "Epoch 42 MSE: 0.0035872787702828646\n", | |
| "Epoch 43 MSE: 0.0029786827508360147\n", | |
| "Epoch 44 MSE: 0.003030025865882635\n", | |
| "Epoch 45 MSE: 0.004065196495503187\n", | |
| "Epoch 46 MSE: 0.0024455906823277473\n", | |
| "Epoch 47 MSE: 0.002131533110514283\n", | |
| "Epoch 48 MSE: 0.00309495790861547\n", | |
| "Epoch 49 MSE: 0.002602631226181984\n", | |
| "Epoch 50 MSE: 0.002653323346748948\n", | |
| "Epoch 51 MSE: 0.0018104839837178588\n", | |
| "Epoch 52 MSE: 0.0023598431143909693\n", | |
| "Epoch 53 MSE: 0.0021162526682019234\n", | |
| "Epoch 54 MSE: 0.0017320000333711505\n", | |
| "Epoch 55 MSE: 0.0019224868156015873\n", | |
| "Epoch 56 MSE: 0.001745888963341713\n", | |
| "Epoch 57 MSE: 0.001953351544216275\n", | |
| "Epoch 58 MSE: 0.0015839784173294902\n", | |
| "Epoch 59 MSE: 0.001489963149651885\n", | |
| "Epoch 60 MSE: 0.0016454958822578192\n", | |
| "Epoch 61 MSE: 0.0014323157956823707\n", | |
| "Epoch 62 MSE: 0.0015364796854555607\n", | |
| "Epoch 63 MSE: 0.0014197523705661297\n", | |
| "Epoch 64 MSE: 0.0014778979821130633\n", | |
| "Epoch 65 MSE: 0.0013675623340532184\n", | |
| "Epoch 66 MSE: 0.0012207651743665338\n", | |
| "Epoch 67 MSE: 0.0013791819801554084\n", | |
| "Epoch 68 MSE: 0.0013105793623253703\n", | |
| "Epoch 69 MSE: 0.001279811724089086\n", | |
| "Epoch 70 MSE: 0.0012104036286473274\n", | |
| "Epoch 71 MSE: 0.0012396964011713862\n", | |
| "Epoch 72 MSE: 0.0012366679729893804\n", | |
| "Epoch 73 MSE: 0.0011308096582069993\n", | |
| "Epoch 74 MSE: 0.001180277089588344\n", | |
| "Epoch 75 MSE: 0.0011400883086025715\n", | |
| "Epoch 76 MSE: 0.0011498579988256097\n", | |
| "Epoch 77 MSE: 0.0011046340223401785\n", | |
| "Epoch 78 MSE: 0.001097783911973238\n", | |
| "Epoch 79 MSE: 0.0010730583453550935\n", | |
| "Epoch 80 MSE: 0.0010711500653997064\n", | |
| "Epoch 81 MSE: 0.0010896966559812427\n", | |
| "Epoch 82 MSE: 0.0010441781487315893\n", | |
| "Epoch 83 MSE: 0.001045438926666975\n", | |
| "Epoch 84 MSE: 0.001034215441904962\n", | |
| "Epoch 85 MSE: 0.0010388585506007075\n", | |
| "Epoch 86 MSE: 0.0010031465208157897\n", | |
| "Epoch 87 MSE: 0.001022375887259841\n", | |
| "Epoch 88 MSE: 0.0010063324589282274\n", | |
| "Epoch 89 MSE: 0.001002937089651823\n", | |
| "Epoch 90 MSE: 0.0009844257729128003\n", | |
| "Epoch 91 MSE: 0.0009889442007988691\n", | |
| "Epoch 92 MSE: 0.0009750180179253221\n", | |
| "Epoch 93 MSE: 0.0009808380855247378\n", | |
| "Epoch 94 MSE: 0.0009668120183050632\n", | |
| "Epoch 95 MSE: 0.000963613681960851\n", | |
| "Epoch 96 MSE: 0.0009572707931511104\n", | |
| "Epoch 97 MSE: 0.0009560655453242362\n", | |
| "Epoch 98 MSE: 0.0009429428610019386\n", | |
| "Epoch 99 MSE: 0.0009459695429541171\n", | |
| "Training time: 11.528377532958984\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "_DL2eBsd-V6e" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "y_train_pred_cpu = y_train_pred.detach().cpu().numpy()\n", | |
| "y_train_lstm_cpu = y_train_lstm.detach().cpu().numpy()\n", | |
| "\n", | |
| "predict = pd.DataFrame(scaler.inverse_transform(y_train_pred_cpu))\n", | |
| "original = pd.DataFrame(scaler.inverse_transform(y_train_lstm_cpu))" | |
| ], | |
| "execution_count": 165, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 570 | |
| }, | |
| "id": "w00IAORy-V6e", | |
| "outputId": "0af22515-ddbc-4452-db94-594f42c5d31f" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import seaborn as sns\n", | |
| "sns.set_style(\"darkgrid\")\n", | |
| "\n", | |
| "fig = plt.figure()\n", | |
| "fig.subplots_adjust(hspace=0.2, wspace=0.2)\n", | |
| "\n", | |
| "plt.subplot(1, 2, 1)\n", | |
| "ax = sns.lineplot(x = original.index, y = original[0], label=\"Data\", color='royalblue')\n", | |
| "ax = sns.lineplot(x = predict.index, y = predict[0], label=\"Training Prediction (LSTM)\", color='tomato')\n", | |
| "ax.set_title('Stock price', size = 14, fontweight='bold')\n", | |
| "ax.set_xlabel(\"Days\", size = 14)\n", | |
| "ax.set_ylabel(\"Cost (USD)\", size = 14)\n", | |
| "ax.set_xticklabels('', size=10)\n", | |
| "\n", | |
| "\n", | |
| "plt.subplot(1, 2, 2)\n", | |
| "ax = sns.lineplot(data=hist, color='royalblue')\n", | |
| "ax.set_xlabel(\"Epoch\", size = 14)\n", | |
| "ax.set_ylabel(\"Loss\", size = 14)\n", | |
| "ax.set_title(\"Training Loss\", size = 14, fontweight='bold')\n", | |
| "fig.set_figheight(6)\n", | |
| "fig.set_figwidth(16)" | |
| ], | |
| "execution_count": 166, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/plain": [ | |
| "<Figure size 1600x600 with 2 Axes>" | |
| ], | |
| "image/png": 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\n" | |
| }, | |
| "metadata": {} | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/" | |
| }, | |
| "id": "VKGukOh4-V6f", | |
| "outputId": "2831e39b-2bcb-4a11-a9f6-e0086bc98335" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import math, time\n", | |
| "from sklearn.metrics import mean_squared_error\n", | |
| "\n", | |
| "# make predictions\n", | |
| "y_test_pred = model(x_test)\n", | |
| "\n", | |
| "# invert predictions\n", | |
| "y_train_pred = scaler.inverse_transform(y_train_pred.detach().cpu().numpy())\n", | |
| "y_train = scaler.inverse_transform(y_train_lstm.detach().cpu().numpy())\n", | |
| "y_test_pred = scaler.inverse_transform(y_test_pred.detach().cpu().numpy())\n", | |
| "y_test = scaler.inverse_transform(y_test_lstm.detach().cpu().numpy())\n", | |
| "\n", | |
| "# calculate root mean squared error\n", | |
| "trainScore = math.sqrt(mean_squared_error(y_train[:,0], y_train_pred[:,0]))\n", | |
| "print('Train Score: %.2f RMSE' % (trainScore))\n", | |
| "testScore = math.sqrt(mean_squared_error(y_test[:,0], y_test_pred[:,0]))\n", | |
| "print('Test Score: %.2f RMSE' % (testScore))\n", | |
| "lstm.append(trainScore)\n", | |
| "lstm.append(testScore)\n", | |
| "lstm.append(training_time)" | |
| ], | |
| "execution_count": 167, | |
| "outputs": [ | |
| { | |
| "output_type": "stream", | |
| "name": "stdout", | |
| "text": [ | |
| "Train Score: 219.42 RMSE\n", | |
| "Test Score: 256.26 RMSE\n" | |
| ] | |
| } | |
| ] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "id": "9Wl1XfQz-V6f" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "# shift train predictions for plotting\n", | |
| "trainPredictPlot = np.empty_like(price)\n", | |
| "trainPredictPlot[:, :] = np.nan\n", | |
| "trainPredictPlot[lookback:len(y_train_pred)+lookback, :] = y_train_pred\n", | |
| "\n", | |
| "# shift test predictions for plotting\n", | |
| "testPredictPlot = np.empty_like(price)\n", | |
| "testPredictPlot[:, :] = np.nan\n", | |
| "testPredictPlot[len(y_train_pred)+lookback-1:len(price)-1, :] = y_test_pred\n", | |
| "\n", | |
| "original = scaler.inverse_transform(price['Close'].values.reshape(-1,1))\n", | |
| "\n", | |
| "predictions = np.append(trainPredictPlot, testPredictPlot, axis=1)\n", | |
| "predictions = np.append(predictions, original, axis=1)\n", | |
| "result = pd.DataFrame(predictions)" | |
| ], | |
| "execution_count": 168, | |
| "outputs": [] | |
| }, | |
| { | |
| "metadata": { | |
| "trusted": true, | |
| "colab": { | |
| "base_uri": "https://localhost:8080/", | |
| "height": 542 | |
| }, | |
| "id": "sfo0gwQE-V6g", | |
| "outputId": "092e6edf-f973-4e02-cbfa-781c8000c40e" | |
| }, | |
| "cell_type": "code", | |
| "source": [ | |
| "import plotly.express as px\n", | |
| "import plotly.graph_objects as go\n", | |
| "\n", | |
| "fig = go.Figure()\n", | |
| "fig.add_trace(go.Scatter(go.Scatter(x=result.index, y=result[0],\n", | |
| " mode='lines',\n", | |
| " name='Train prediction')))\n", | |
| "fig.add_trace(go.Scatter(x=result.index, y=result[1],\n", | |
| " mode='lines',\n", | |
| " name='Test prediction'))\n", | |
| "fig.add_trace(go.Scatter(go.Scatter(x=result.index, y=result[2],\n", | |
| " mode='lines',\n", | |
| " name='Actual Value')))\n", | |
| "fig.update_layout(\n", | |
| " xaxis=dict(\n", | |
| " showline=True,\n", | |
| " showgrid=True,\n", | |
| " showticklabels=False,\n", | |
| " linecolor='white',\n", | |
| " linewidth=2\n", | |
| " ),\n", | |
| " yaxis=dict(\n", | |
| " title_text='Close (USD)',\n", | |
| " titlefont=dict(\n", | |
| " family='Rockwell',\n", | |
| " size=12,\n", | |
| " color='white',\n", | |
| " ),\n", | |
| " showline=True,\n", | |
| " showgrid=True,\n", | |
| " showticklabels=True,\n", | |
| " linecolor='white',\n", | |
| " linewidth=2,\n", | |
| " ticks='outside',\n", | |
| " tickfont=dict(\n", | |
| " family='Rockwell',\n", | |
| " size=12,\n", | |
| " color='white',\n", | |
| " ),\n", | |
| " ),\n", | |
| " showlegend=True,\n", | |
| " template = 'plotly_dark'\n", | |
| "\n", | |
| ")\n", | |
| "\n", | |
| "\n", | |
| "\n", | |
| "annotations = []\n", | |
| "annotations.append(dict(xref='paper', yref='paper', x=0.0, y=1.05,\n", | |
| " xanchor='left', yanchor='bottom',\n", | |
| " text='Results (LSTM)',\n", | |
| " font=dict(family='Rockwell',\n", | |
| " size=26,\n", | |
| " color='white'),\n", | |
| " showarrow=False))\n", | |
| "fig.update_layout(annotations=annotations)\n", | |
| "\n", | |
| "fig.show()" | |
| ], | |
| "execution_count": 169, | |
| "outputs": [ | |
| { | |
| "output_type": "display_data", | |
| "data": { | |
| "text/html": [ | |
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