Testing Predictions on Out of Bound Data: Comparing Gradient Boosted Trees and Linear Regression

gbm_vs_lr_out_of_bound_data.ipynb

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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Testing Predictions on Out of Bound Data\n",
    "## Comparing Gradient Boosted Trees and Linear Regression\n",
    "\n",
    "We're investigating how Gradient Boosted Trees and Linear Regression manage predictions when confronted with data points that are outside the range of their training data, referred to as \"out of bound data.\"\n",
    "\n",
    "### The Problem \n",
    "- **Gradient Boosted Trees (GBTs)**: While GBTs can make precise predictions within the boundaries of the training data, they face challenges with out of bound data, typically predicting a constant value.\n",
    "- **Linear Regression (LR)**: Conversely, LR tends to manage out of bound data more effectively, maintaining its established predictive pattern even beyond the training data range.\n",
    "\n",
    "### The Experiment\n",
    "- We generate a linear dataset (`y = 3x + 100`) and divide it into training and test sets.\n",
    "- Both GBT and LR models are trained using the training set, and then tasked with predicting the 'y' values of the test (out of bound) data.\n",
    "- Observations:\n",
    "  - GBT tends to predict a consistent value for out of bound data.\n",
    "  - LR maintains its linear pattern when predicting out of bound data.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.ensemble import GradientBoostingRegressor\n",
    "import numpy as np\n",
    "import polars as pl\n",
    "from plotly import express as px, io as pio, graph_objects as go\n",
    "\n",
    "np.random.seed(2023_10_13_14)\n",
    "\n",
    "# Set up the renderers\n",
    "pio.renderers.default = \"png\"\n",
    "pio.templates[\"colors\"] = go.layout.Template(layout=go.Layout(colorway=[\"rgb(86, 188, 194)\", \"rgb(232, 125, 114)\"]))\n",
    "pio.templates.default = \"ggplot2+colors\"\n",
    "\n",
    "# Create dataframe for visualization\n",
    "x = np.arange(100)\n",
    "y_true = 3 * x + 100 + np.random.normal(scale=3, size=100)\n",
    "test_size = 20\n",
    "\n",
    "# Create a dataframe and add a 'Dataset' column to categorize data points\n",
    "dataset = pl.DataFrame({\"X\": x, \"True Y\": y_true}).with_columns(\n",
    "    pl.when(pl.col(\"X\") < len(x) - test_size).then(\"Train\").otherwise(\"Test\").alias(\"Dataset\")\n",
    ")\n",
    "\n",
    "# Get the training dataset\n",
    "train_dataset = dataset.filter(pl.col(\"Dataset\") == \"Train\")\n",
    "\n",
    "\n",
    "# Model Function\n",
    "def run_model(Model, model_name):\n",
    "    model = Model()\n",
    "    model.fit(train_dataset[[\"X\"]].to_numpy(), train_dataset[\"True Y\"])\n",
    "    predictions = model.predict(dataset[[\"X\"]].to_numpy())\n",
    "    return dataset.with_columns(pl.Series(\"Predicted Y\", predictions), pl.lit(model_name).alias(\"Model\"))\n",
    "\n",
    "\n",
    "# Run and visualize models\n",
    "gbm_df = run_model(GradientBoostingRegressor, \"GBM\")\n",
    "lr_df = run_model(LinearRegression, \"LR\")\n",
    "fig2 = px.scatter(\n",
    "    pl.concat([gbm_df, lr_df]),\n",
    "    x=\"True Y\",\n",
    "    y=\"Predicted Y\",\n",
    "    color=\"Dataset\",\n",
    "    facet_col=\"Model\",\n",
    "    width=900,\n",
    "    title=\"GBM & LR Predictions on out of bound data\",\n",
    ").show()\n",
    "\n",
    "# Visualize initial dataset\n",
    "px.scatter(dataset, x=\"X\", y=\"True Y\", color=\"Dataset\", width=500, title=\"Train & Test Datasets\").show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.10.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}