amazon-financial-dataset-log-normalization.ipynb

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      "/kaggle/input/amazon-financial-dataset/Amazon Financial Dataset.xlsx\n"
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    "# This Python 3 environment comes with many helpful analytics libraries installed\n",
    "# It is defined by the kaggle/python Docker image: https://github.com/kaggle/docker-python\n",
    "# For example, here's several helpful packages to load\n",
    "\n",
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n",
    "\n",
    "# Input data files are available in the read-only \"../input/\" directory\n",
    "# For example, running this (by clicking run or pressing Shift+Enter) will list all files under the input directory\n",
    "\n",
    "import os\n",
    "for dirname, _, filenames in os.walk('/kaggle/input'):\n",
    "    for filename in filenames:\n",
    "        print(os.path.join(dirname, filename))\n",
    "\n",
    "# You can write up to 20GB to the current directory (/kaggle/working/) that gets preserved as output when you create a version using \"Save & Run All\" \n",
    "# You can also write temporary files to /kaggle/temp/, but they won't be saved outside of the current session"
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    "[](https://www.the-sun.com/wp-content/uploads/sites/6/2023/07/LG-AMAZON-ACER-LAPTOP-OFFPLAT.jpg?strip=all&quality=100&w=1920&h=1080&crop=1)"
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    " **log normalization** and analyze the data.\r\n",
    "\r\n",
    "---\r\n",
    "\r\n",
    "### **Step 1: Load the Dataset**\r\n",
    "- Load the Excel file into a pandas DataFrame.\r\n",
    "- Display the first few rows of the dataset for verification.\r\n",
    "\r\n",
    "---\r\n",
    "\r\n",
    "### **Step 2: Apply Log Normalization**\r\n",
    "#### Formula for Log Normalization:  \r\n",
    "x base log = log(x+1)\r\n",
    "- Log normalization is applied to handle skewness and scale large values into a smaller range.\r\n",
    "\r\n",
    "---\r\n",
    "\r\n",
    "### **Step 3: Visualize Log Normalized Data**\r\n",
    "- Example column: Use \"R&D Amount\" for visualization.\r\n",
    "- Plot a line graph to show the transformed values.\r\n",
    "\r\n",
    "---\r\n",
    "\r\n",
    "### **Step 4: Gaussian Distribution**\r\n",
    "- Plot the Gaussian distribution of the log-normalized data using the `seaborn` library.\r\n",
    "\r\n",
    "The formula for a Gaussian (Normal) Distribution is:\r\n",
    "\r\n",
    "f(x)=  1/root(2πσ)     exp ( - (x−μ)^2/2σ^2)\r\n",
    " \r\n",
    "\r\n",
    "​\r\n",
    " \r\n",
    "\r\n",
    "\r\n",
    "\r\n",
    "Where:\r\n",
    "- \\( f(x) \\): Probability density function (PDF) of the normal distribution.\r\n",
    "- \\( x \\): The variable for which the distribution is calculated.\r\n",
    "- \\( mu \\): The mean (average) of the distribution.\r\n",
    "- \\( sigma \\): The standard deviation of the distribution.\r\n",
    "- \\( sigma^2 \\): The variance of the distribution.\r\n",
    "- \\( exp \\): Exponential function.\r\n",
    "\r\n",
    "\r\n",
    "\r\n",
    "### **Step 5: Standard Normal Distribution (SND)**\r\n",
    "- Formula for Z-Score Standardization:  \r\n",
    "z= x−μ/σ\r\n",
    "​\r\n",
    " \r\n",
    "\r\n",
    "where \\( μ ) is the mean and \\( \\σ \\) is the standard deviation.  \r\n",
    "- Apply standardization to the log-normalized data and plot the distribution.\r\n",
    "\r\n",
    "---\r\n",
    "\r\n",
    "### **Code Implementation**\r\n",
    "Below is the complete Python implementation for these steps:\r\n",
    "\r\n",
    "The code provided will:\r\n",
    "\r\n",
    "1. Load the dataset.\r\n",
    "2. Apply log normalization using the formula \\( \\log(x + 1) \\).\r\n",
    "3. Plot graphs:\r\n",
    "   - A comparison line graph of original vs. log-normalized R&D amounts.\r\n",
    "   - A histogram with a Gaussian distribution of log-normalized data.\r\n",
    "   - A histogram of Z-scores (standard normal distribution).\r\n",
    "4. Showing the processed data for verification.\r\n",
    "\r\n"
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    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>State</th>\n",
       "      <th>R&amp;D Amount (in $)</th>\n",
       "      <th>Marketing Amount (in $)</th>\n",
       "      <th>Campaigns (Count)</th>\n",
       "      <th>Profit (in $)</th>\n",
       "      <th>Employee Count</th>\n",
       "      <th>Product Count</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Alabama</td>\n",
       "      <td>167684</td>\n",
       "      <td>96524</td>\n",
       "      <td>6</td>\n",
       "      <td>47036</td>\n",
       "      <td>278</td>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Alaska</td>\n",
       "      <td>180067</td>\n",
       "      <td>132932</td>\n",
       "      <td>3</td>\n",
       "      <td>42541</td>\n",
       "      <td>164</td>\n",
       "      <td>37</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Arizona</td>\n",
       "      <td>105431</td>\n",
       "      <td>116187</td>\n",
       "      <td>10</td>\n",
       "      <td>43087</td>\n",
       "      <td>181</td>\n",
       "      <td>29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Arkansas</td>\n",
       "      <td>171035</td>\n",
       "      <td>107298</td>\n",
       "      <td>6</td>\n",
       "      <td>46504</td>\n",
       "      <td>285</td>\n",
       "      <td>27</td>\n",
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       "      <th>4</th>\n",
       "      <td>California</td>\n",
       "      <td>121645</td>\n",
       "      <td>82274</td>\n",
       "      <td>7</td>\n",
       "      <td>60994</td>\n",
       "      <td>201</td>\n",
       "      <td>50</td>\n",
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       "        State  R&D Amount (in $)  Marketing Amount (in $)  Campaigns (Count)  \\\n",
       "0     Alabama             167684                    96524                  6   \n",
       "1      Alaska             180067                   132932                  3   \n",
       "2     Arizona             105431                   116187                 10   \n",
       "3    Arkansas             171035                   107298                  6   \n",
       "4  California             121645                    82274                  7   \n",
       "\n",
       "   Profit (in $)  Employee Count  Product Count  \n",
       "0          47036             278             38  \n",
       "1          42541             164             37  \n",
       "2          43087             181             29  \n",
       "3          46504             285             27  \n",
       "4          60994             201             50  "
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   "source": [
    "file_path = r'/kaggle/input/amazon-financial-dataset/Amazon Financial Dataset.xlsx'\n",
    "data = pd.read_excel(file_path)\n",
    "\n",
    "# Display the first few rows of the dataset\n",
    "data.head()"
   ]
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   "source": [
    "# Applying Log Normalization\r\n",
    "# Adding 1 to avoid log(0)"
   ]
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    "\n",
    "data['R&D Log'] = np.log(data['R&D Amount (in $)'] + 1)\n",
    "data['Marketing Log'] = np.log(data['Marketing Amount (in $)'] + 1)\n",
    "data['Profit Log'] = np.log(data['Profit (in $)'] + 1)"
   ]
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   "source": [
    "# Visualization: Original vs Log Normalized Data (R&D Amount)"
   ]
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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(data['State'], data['R&D Amount (in $)'], label='R&D Amount (Original)', marker='o')\n",
    "plt.plot(data['State'], data['R&D Log'], label='R&D Amount (Log Normalized)', marker='x')\n",
    "plt.xticks(rotation=90)\n",
    "plt.title('Original vs Log-Normalized R&D Amount')\n",
    "plt.xlabel('State')\n",
    "plt.ylabel('R&D Amount')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06653627",
   "metadata": {
    "papermill": {
     "duration": 0.005508,
     "end_time": "2024-12-18T13:58:58.896279",
     "exception": false,
     "start_time": "2024-12-18T13:58:58.890771",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "#  Gaussian Distribution\r\n",
    "# Plot Gaussian distribution for log-normalized R&D Amount"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "83a0f8e6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-12-18T13:58:58.909630Z",
     "iopub.status.busy": "2024-12-18T13:58:58.909226Z",
     "iopub.status.idle": "2024-12-18T13:58:59.262779Z",
     "shell.execute_reply": "2024-12-18T13:58:59.261579Z"
    },
    "papermill": {
     "duration": 0.363143,
     "end_time": "2024-12-18T13:58:59.265161",
     "exception": false,
     "start_time": "2024-12-18T13:58:58.902018",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
      "  with pd.option_context('mode.use_inf_as_na', True):\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 5))\n",
    "sns.histplot(data['R&D Log'], kde=True, bins=20, color='blue')\n",
    "plt.title('Gaussian Distribution of Log-Normalized R&D Amount')\n",
    "plt.xlabel('Log-Normalized R&D Amount')\n",
    "plt.ylabel('Density')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88573846",
   "metadata": {
    "papermill": {
     "duration": 0.006036,
     "end_time": "2024-12-18T13:58:59.277828",
     "exception": false,
     "start_time": "2024-12-18T13:58:59.271792",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Visualization: Standard Normal Distribution (Z-Scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "68ae2b75",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-12-18T13:58:59.293799Z",
     "iopub.status.busy": "2024-12-18T13:58:59.293366Z",
     "iopub.status.idle": "2024-12-18T13:58:59.298466Z",
     "shell.execute_reply": "2024-12-18T13:58:59.297228Z"
    },
    "papermill": {
     "duration": 0.016419,
     "end_time": "2024-12-18T13:58:59.300851",
     "exception": false,
     "start_time": "2024-12-18T13:58:59.284432",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "\n",
    "# plt.figure(figsize=(12, 6))\n",
    "# sns.histplot(data['R&D '], kde=True, bins=30, color='purple', stat=\"density\")\n",
    "# x = np.linspace(data['R&D Z-Score'].min(), data['R&D Z-Score'].max(), 1000)\n",
    "# y = 1 / (np.sqrt(2 * np.pi) * std) * np.exp(-0.5 * ((x - mean) ** 2))\n",
    "# plt.plot(x, y, color='red', label='Theoretical Normal Curve')\n",
    "# plt.title('Standard Normal Distribution of R&D Amount (Z-Scores)')\n",
    "\n",
    "# plt.ylabel('Density')\n",
    "# plt.legend()\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "780543d1",
   "metadata": {
    "papermill": {
     "duration": 0.006297,
     "end_time": "2024-12-18T13:58:59.314461",
     "exception": false,
     "start_time": "2024-12-18T13:58:59.308164",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "# Output processed data for verification"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e4cdb6c0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-12-18T13:58:59.328767Z",
     "iopub.status.busy": "2024-12-18T13:58:59.328362Z",
     "iopub.status.idle": "2024-12-18T13:58:59.333320Z",
     "shell.execute_reply": "2024-12-18T13:58:59.332056Z"
    },
    "papermill": {
     "duration": 0.015089,
     "end_time": "2024-12-18T13:58:59.335844",
     "exception": false,
     "start_time": "2024-12-18T13:58:59.320755",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "# data[['State', 'R&D Amount (in $)', 'R&D Log', 'R&D Z-Score']].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0dea99e1",
   "metadata": {
    "papermill": {
     "duration": 0.005943,
     "end_time": "2024-12-18T13:58:59.348215",
     "exception": false,
     "start_time": "2024-12-18T13:58:59.342272",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## fixed err?"
   ]
  }
 ],
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