{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "```{index} single: application; regression\n",
    "```\n",
    "```{index} pandas dataframe\n",
    "```\n",
    "```{index} single: solver; HiGHS\n",
    "```\n",
    "\n",
    "# Extra material: Wine quality prediction with $L_1$ regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preamble: Install Pyomo and a solver\n",
    "\n",
    "The following cell sets and verifies a global SOLVER for the notebook. If run on Google Colab, the cell installs Pyomo and the HiGHS solver, while, if run elsewhere, it assumes Pyomo and HiGHS have been previously installed. It then sets to use HiGHS as solver via the appsi module and a test is performed to verify that it is available. The solver interface is stored in a global object `SOLVER` for later use."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "5ssUqKOaPVaE",
    "outputId": "38c1005a-39f4-4307-e305-19a4c9819396"
   },
   "outputs": [],
   "source": [
    "import sys\n",
    " \n",
    "if 'google.colab' in sys.modules:\n",
    "    %pip install pyomo >/dev/null 2>/dev/null\n",
    "    %pip install highspy >/dev/null 2>/dev/null\n",
    " \n",
    "solver = 'appsi_highs'\n",
    " \n",
    "import pyomo.environ as pyo\n",
    "SOLVER = pyo.SolverFactory(solver)\n",
    "\n",
    "assert SOLVER.available(), f\"Solver {solver} is not available.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "## Problem description\n",
    "\n",
    "Regression analysis aims to fit a predictive model to a dataset, and when executed successfully, this model can generate valuable forecasts for new data points. This notebook demonstrates how linear programming techniques coupled with Least Absolute Deviation (LAD) regression can construct a linear model to predict wine quality based on its physicochemical attributes. The example uses a well known data set from the machine learning community.\n",
    "\n",
    "In [this 2009 article](https://doi.org/10.1016/j.dss.2009.05.016) by Cortez et al. comprehensive set of physical, chemical, and sensory quality metrics was gathered for an extensive range of red and white wines produced in Portugal. This dataset was subsequently contributed to the [UCI Machine Learning Repository](https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv). \n",
    "\n",
    "The next code cell downloads the red wine data directly from this repository."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>fixed acidity</th>\n",
       "      <th>volatile acidity</th>\n",
       "      <th>citric acid</th>\n",
       "      <th>residual sugar</th>\n",
       "      <th>chlorides</th>\n",
       "      <th>free sulfur dioxide</th>\n",
       "      <th>total sulfur dioxide</th>\n",
       "      <th>density</th>\n",
       "      <th>pH</th>\n",
       "      <th>sulphates</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.700</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.99780</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.880</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.6</td>\n",
       "      <td>0.098</td>\n",
       "      <td>25.0</td>\n",
       "      <td>67.0</td>\n",
       "      <td>0.99680</td>\n",
       "      <td>3.20</td>\n",
       "      <td>0.68</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>7.8</td>\n",
       "      <td>0.760</td>\n",
       "      <td>0.04</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.092</td>\n",
       "      <td>15.0</td>\n",
       "      <td>54.0</td>\n",
       "      <td>0.99700</td>\n",
       "      <td>3.26</td>\n",
       "      <td>0.65</td>\n",
       "      <td>9.8</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>11.2</td>\n",
       "      <td>0.280</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.075</td>\n",
       "      <td>17.0</td>\n",
       "      <td>60.0</td>\n",
       "      <td>0.99800</td>\n",
       "      <td>3.16</td>\n",
       "      <td>0.58</td>\n",
       "      <td>9.8</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.4</td>\n",
       "      <td>0.700</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.9</td>\n",
       "      <td>0.076</td>\n",
       "      <td>11.0</td>\n",
       "      <td>34.0</td>\n",
       "      <td>0.99780</td>\n",
       "      <td>3.51</td>\n",
       "      <td>0.56</td>\n",
       "      <td>9.4</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1594</th>\n",
       "      <td>6.2</td>\n",
       "      <td>0.600</td>\n",
       "      <td>0.08</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.090</td>\n",
       "      <td>32.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>0.99490</td>\n",
       "      <td>3.45</td>\n",
       "      <td>0.58</td>\n",
       "      <td>10.5</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1595</th>\n",
       "      <td>5.9</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2.2</td>\n",
       "      <td>0.062</td>\n",
       "      <td>39.0</td>\n",
       "      <td>51.0</td>\n",
       "      <td>0.99512</td>\n",
       "      <td>3.52</td>\n",
       "      <td>0.76</td>\n",
       "      <td>11.2</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1596</th>\n",
       "      <td>6.3</td>\n",
       "      <td>0.510</td>\n",
       "      <td>0.13</td>\n",
       "      <td>2.3</td>\n",
       "      <td>0.076</td>\n",
       "      <td>29.0</td>\n",
       "      <td>40.0</td>\n",
       "      <td>0.99574</td>\n",
       "      <td>3.42</td>\n",
       "      <td>0.75</td>\n",
       "      <td>11.0</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1597</th>\n",
       "      <td>5.9</td>\n",
       "      <td>0.645</td>\n",
       "      <td>0.12</td>\n",
       "      <td>2.0</td>\n",
       "      <td>0.075</td>\n",
       "      <td>32.0</td>\n",
       "      <td>44.0</td>\n",
       "      <td>0.99547</td>\n",
       "      <td>3.57</td>\n",
       "      <td>0.71</td>\n",
       "      <td>10.2</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1598</th>\n",
       "      <td>6.0</td>\n",
       "      <td>0.310</td>\n",
       "      <td>0.47</td>\n",
       "      <td>3.6</td>\n",
       "      <td>0.067</td>\n",
       "      <td>18.0</td>\n",
       "      <td>42.0</td>\n",
       "      <td>0.99549</td>\n",
       "      <td>3.39</td>\n",
       "      <td>0.66</td>\n",
       "      <td>11.0</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1599 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      fixed acidity  volatile acidity  citric acid  residual sugar  chlorides  \\\n",
       "0               7.4             0.700         0.00             1.9      0.076   \n",
       "1               7.8             0.880         0.00             2.6      0.098   \n",
       "2               7.8             0.760         0.04             2.3      0.092   \n",
       "3              11.2             0.280         0.56             1.9      0.075   \n",
       "4               7.4             0.700         0.00             1.9      0.076   \n",
       "...             ...               ...          ...             ...        ...   \n",
       "1594            6.2             0.600         0.08             2.0      0.090   \n",
       "1595            5.9             0.550         0.10             2.2      0.062   \n",
       "1596            6.3             0.510         0.13             2.3      0.076   \n",
       "1597            5.9             0.645         0.12             2.0      0.075   \n",
       "1598            6.0             0.310         0.47             3.6      0.067   \n",
       "\n",
       "      free sulfur dioxide  total sulfur dioxide  density    pH  sulphates  \\\n",
       "0                    11.0                  34.0  0.99780  3.51       0.56   \n",
       "1                    25.0                  67.0  0.99680  3.20       0.68   \n",
       "2                    15.0                  54.0  0.99700  3.26       0.65   \n",
       "3                    17.0                  60.0  0.99800  3.16       0.58   \n",
       "4                    11.0                  34.0  0.99780  3.51       0.56   \n",
       "...                   ...                   ...      ...   ...        ...   \n",
       "1594                 32.0                  44.0  0.99490  3.45       0.58   \n",
       "1595                 39.0                  51.0  0.99512  3.52       0.76   \n",
       "1596                 29.0                  40.0  0.99574  3.42       0.75   \n",
       "1597                 32.0                  44.0  0.99547  3.57       0.71   \n",
       "1598                 18.0                  42.0  0.99549  3.39       0.66   \n",
       "\n",
       "      alcohol  quality  \n",
       "0         9.4        5  \n",
       "1         9.8        5  \n",
       "2         9.8        5  \n",
       "3         9.8        6  \n",
       "4         9.4        5  \n",
       "...       ...      ...  \n",
       "1594     10.5        5  \n",
       "1595     11.2        6  \n",
       "1596     11.0        6  \n",
       "1597     10.2        5  \n",
       "1598     11.0        6  \n",
       "\n",
       "[1599 rows x 12 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "wines = pd.read_csv(\n",
    "    \"https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv\",\n",
    "    sep=\";\",\n",
    ")\n",
    "display(wines)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mean Absolute Deviation (MAD)\n",
    "\n",
    "Given $n$ repeated observations of a response variable $y_i$ (in this case, the wine quality), the **mean absolute deviation** (MAD) of $y_i$ from the mean value $\\bar{y}$ is\n",
    "\n",
    "$$\\text{MAD}\\,(y) = \\frac{1}{n} \\sum_{i=1}^n | y_i - \\bar{y}|$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAD = 0.68318\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def MAD(df):\n",
    "    return (df - df.mean()).abs().mean()\n",
    "\n",
    "\n",
    "print(f'MAD = {MAD(wines[\"quality\"]):.5f}')\n",
    "\n",
    "plt.rcParams[\"font.size\"] = 14\n",
    "colors = plt.get_cmap(\"tab20c\")\n",
    "fig, ax = plt.subplots(figsize=(12, 7))\n",
    "ax = wines[\"quality\"].plot(alpha=0.7, color=colors(0.0))\n",
    "ax.axhline(wines[\"quality\"].mean(), color=colors(0.2), ls=\"--\", lw=3)\n",
    "\n",
    "mad = MAD(wines[\"quality\"])\n",
    "ax.axhline(wines[\"quality\"].mean() + mad, color=colors(0.4), lw=3)\n",
    "ax.axhline(wines[\"quality\"].mean() - mad, color=colors(0.4), lw=3)\n",
    "ax.legend([\"data\", \"mean\", \"MAD\"])\n",
    "ax.set_xlabel(\"Observations\")\n",
    "ax.set_ylabel(\"Quality\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A preliminary look at the data\n",
    "\n",
    "The data consists of 1,599 measurements of eleven physical and chemical characteristics plus an integer measure of sensory quality recorded on a scale from 3 to 8. Histograms provides insight into the values and variability of the data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"font.size\"] = 13\n",
    "colors = plt.get_cmap(\"tab20c\")\n",
    "fig, axes = plt.subplots(3, 4, figsize=(12, 8), sharey=True)\n",
    "for ax, column in zip(axes.flatten(), wines.columns):\n",
    "    wines[column].hist(ax=ax, bins=30, color=colors(0.0), alpha=0.7)\n",
    "    ax.axvline(wines[column].mean(), color=colors(0.2), label=\"mean\")\n",
    "    ax.set_title(column)\n",
    "    ax.legend()\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Which features influence reported wine quality?\n",
    "\n",
    "The art of regression is to identify the features that have explanatory value for a response of interest. This is where a person with deep knowledge of an application area, in this case an experienced onenologist will have a head start compared to the naive data scientist. In the absence of the experience, we proceed by examining the correlation among the variables in the data set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = wines.corr()[\"quality\"].plot(kind=\"bar\", grid=True, color=colors(0.0), alpha=0.7)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "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>volatile acidity</th>\n",
       "      <th>density</th>\n",
       "      <th>alcohol</th>\n",
       "      <th>quality</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>volatile acidity</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.022026</td>\n",
       "      <td>-0.202288</td>\n",
       "      <td>-0.390558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>density</th>\n",
       "      <td>0.022026</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.496180</td>\n",
       "      <td>-0.174919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>alcohol</th>\n",
       "      <td>-0.202288</td>\n",
       "      <td>-0.496180</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.476166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>quality</th>\n",
       "      <td>-0.390558</td>\n",
       "      <td>-0.174919</td>\n",
       "      <td>0.476166</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  volatile acidity   density   alcohol   quality\n",
       "volatile acidity          1.000000  0.022026 -0.202288 -0.390558\n",
       "density                   0.022026  1.000000 -0.496180 -0.174919\n",
       "alcohol                  -0.202288 -0.496180  1.000000  0.476166\n",
       "quality                  -0.390558 -0.174919  0.476166  1.000000"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "wines[[\"volatile acidity\", \"density\", \"alcohol\", \"quality\"]].corr()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Collectively, these figures suggest `alcohol` is a strong correlate of `quality`, and several additional factors as  candidates for explanatory variables.."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LAD line fitting to identify features\n",
    "\n",
    "An alternative approach is perform a series of single feature LAD regressions to determine which features have the largest impact on reducing the mean absolute deviations in the residuals.\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\min \\frac{1}{I} \\sum_{i\\in I} \\left| y_i - a x_i - b \\right|\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "This computation has been presented in a prior notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The mean absolute deviation for a single-feature regression is 0.54117\n"
     ]
    }
   ],
   "source": [
    "def lad_fit_1(df, y_col, x_col):\n",
    "    m = pyo.ConcreteModel(\"LAD Regression Model\")\n",
    "\n",
    "    N = len(df)\n",
    "    m.I = pyo.RangeSet(N)\n",
    "\n",
    "    @m.Param(m.I)\n",
    "    def y(m, i):\n",
    "        return df.loc[i - 1, y_col]\n",
    "\n",
    "    @m.Param(m.I)\n",
    "    def X(m, i):\n",
    "        return df.loc[i - 1, x_col]\n",
    "\n",
    "    m.a, m.b = pyo.Var(), pyo.Var(domain=pyo.Reals)\n",
    "    m.e_pos = pyo.Var(m.I, domain=pyo.NonNegativeReals)\n",
    "    m.e_neg = pyo.Var(m.I, domain=pyo.NonNegativeReals)\n",
    "\n",
    "    @m.Expression(m.I)\n",
    "    def prediction(m, i):\n",
    "        return m.a * m.X[i] + m.b\n",
    "\n",
    "    @m.Constraint(m.I)\n",
    "    def prediction_error(m, i):\n",
    "        return m.e_pos[i] - m.e_neg[i] == m.prediction[i] - m.y[i]\n",
    "\n",
    "    @m.Objective(sense=pyo.minimize)\n",
    "    def MAD(m):\n",
    "        return sum(m.e_pos[i] + m.e_neg[i] for i in m.I) / N\n",
    "\n",
    "    return m\n",
    "\n",
    "\n",
    "m = lad_fit_1(wines, \"quality\", \"alcohol\")\n",
    "SOLVER.solve(m)\n",
    "print(f\"The mean absolute deviation for a single-feature regression is {m.MAD():0.5f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This calculation is performed for all variables to determine which variables are the best candidates to explain deviations in wine quality."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variables = {}\n",
    "for i in wines.columns:\n",
    "    m = lad_fit_1(wines, \"quality\", i)\n",
    "    SOLVER.solve(m)\n",
    "    variables[i] = m.MAD()\n",
    "\n",
    "mad = (wines[\"alcohol\"] - wines[\"alcohol\"].mean()).abs().mean()\n",
    "colors = plt.get_cmap(\"tab20c\")\n",
    "fig, ax = plt.subplots()\n",
    "pd.Series(variables).plot(kind=\"bar\", ax=ax, grid=True, alpha=0.7, color=colors(0.0))\n",
    "ax.axhline(mad, color=colors(0.4), lw=3)\n",
    "ax.set_title(\"MADs for single-feature regressions\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "wines[\"prediction\"] = [m.prediction[i]() for i in m.I]\n",
    "\n",
    "fig1, ax1 = plt.subplots(figsize=(6, 5))\n",
    "wines[\"quality\"].hist(label=\"data\", alpha=0.7, color=plt.get_cmap(\"tab20c\")(0))\n",
    "ax1.set_xlabel(\"Quality\")\n",
    "ax1.set_ylabel(\"Counts\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig2, ax2 = plt.subplots(figsize=(6, 6))\n",
    "wines.plot(\n",
    "    x=\"quality\",\n",
    "    y=\"prediction\",\n",
    "    kind=\"scatter\",\n",
    "    alpha=0.7,\n",
    "    color=plt.get_cmap(\"tab20c\")(0),\n",
    "    ax=ax2,\n",
    ")\n",
    "ax2.set_xlabel(\"Quality\")\n",
    "ax2.set_ylabel(\"Prediction\")\n",
    "ax2.set_aspect(\"equal\", \"box\")\n",
    "min_val = min(ax2.get_xlim()[0], ax2.get_ylim()[0])\n",
    "max_val = max(ax2.get_xlim()[1], ax2.get_ylim()[1])\n",
    "ax2.set_xlim(min_val, max_val)\n",
    "ax2.set_ylim(min_val, max_val)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multivariate $L_1$-regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us now perform a full multivariate $L_1$-regression on the wine dataset to predict the wine quality $y$ using the provided wine features. We aim to find the coefficients $m_j$'s and $b$ that minimize the mean absolute deviation (MAD) by solving the following problem:\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\text{MAD}\\,(\\hat{y}) = \\min_{m, \\, b} \\quad & \\frac{1}{n} \\sum_{i=1}^n | y_i - \\hat{y}_i| \\\\\n",
    "\\\\\n",
    "\\text{s. t.}\\quad & \\hat{y}_i = \\sum_{j=1}^J x_{i, j} m_j + b & \\forall i = 1, \\dots, n,\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "where $x_{i, j}$ are values of 'explanatory' variables, i.e., the 11 physical and chemical characteristics of the wines. By taking care of the absolute value appearing in the objective function, this can be implemented in Pyomo as a linear optimization problem as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MAD = 0.49980\n",
      "\n",
      "alcohol                 0.34242\n",
      "volatile acidity       -0.98062\n",
      "citric acid            -0.28928\n",
      "sulphates               0.90609\n",
      "total sulfur dioxide   -0.00219\n",
      "density               -18.50083\n",
      "fixed acidity           0.06382\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def l1_fit(df, y_col, x_cols):\n",
    "    m = pyo.ConcreteModel(\"L1 Regression Model\")\n",
    "\n",
    "    N = len(df)\n",
    "    m.I = pyo.RangeSet(N)\n",
    "    m.J = pyo.Set(initialize=x_cols)\n",
    "\n",
    "    @m.Param(m.I)\n",
    "    def y(m, i):\n",
    "        return df.loc[i - 1, y_col]\n",
    "\n",
    "    @m.Param(m.I, m.J)\n",
    "    def X(m, i, j):\n",
    "        return df.loc[i - 1, j]\n",
    "\n",
    "    m.a = pyo.Var(m.J)\n",
    "    m.b = pyo.Var(domain=pyo.Reals)\n",
    "\n",
    "    m.e_pos = pyo.Var(m.I, domain=pyo.NonNegativeReals)\n",
    "    m.e_neg = pyo.Var(m.I, domain=pyo.NonNegativeReals)\n",
    "\n",
    "    @m.Expression(m.I)\n",
    "    def prediction(m, i):\n",
    "        return sum(m.a[j] * m.X[i, j] for j in m.J) + m.b\n",
    "\n",
    "    @m.Constraint(m.I)\n",
    "    def prediction_error(m, i):\n",
    "        return m.e_pos[i] - m.e_neg[i] == m.prediction[i] - m.y[i]\n",
    "\n",
    "    @m.Objective(sense=pyo.minimize)\n",
    "    def MAD(m):\n",
    "        return sum(m.e_pos[i] + m.e_neg[i] for i in m.I) / N\n",
    "\n",
    "    return m\n",
    "\n",
    "\n",
    "m = l1_fit(\n",
    "    wines,\n",
    "    \"quality\",\n",
    "    [\n",
    "        \"alcohol\",\n",
    "        \"volatile acidity\",\n",
    "        \"citric acid\",\n",
    "        \"sulphates\",\n",
    "        \"total sulfur dioxide\",\n",
    "        \"density\",\n",
    "        \"fixed acidity\",\n",
    "    ],\n",
    ")\n",
    "SOLVER.solve(m)\n",
    "print(f\"MAD = {m.MAD():0.5f}\\n\")\n",
    "\n",
    "for j in m.J:\n",
    "    print(f\"{j: <20}  {pyo.value(m.a[j]):9.5f}\")\n",
    "\n",
    "wines[\"prediction\"] = [pyo.value(m.prediction[i]) for i in m.I]\n",
    "\n",
    "fig1, ax1 = plt.subplots(figsize=(7, 7))\n",
    "wines[\"quality\"].hist(label=\"data\", alpha=0.7, color=plt.get_cmap(\"tab20c\")(0))\n",
    "ax1.set_xlabel(\"Quality\")\n",
    "ax1.set_ylabel(\"Counts\")\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "fig2, ax2 = plt.subplots(figsize=(7, 7))\n",
    "wines.plot(\n",
    "    x=\"quality\",\n",
    "    y=\"prediction\",\n",
    "    kind=\"scatter\",\n",
    "    alpha=0.7,\n",
    "    color=plt.get_cmap(\"tab20c\")(0),\n",
    "    ax=ax2,\n",
    ")\n",
    "ax2.set_xlabel(\"Quality\")\n",
    "ax2.set_ylabel(\"Prediction\")\n",
    "ax2.set_aspect(\"equal\", \"box\")\n",
    "min_val = min(ax2.get_xlim()[0], ax2.get_ylim()[0])\n",
    "max_val = max(ax2.get_xlim()[1], ax2.get_ylim()[1])\n",
    "ax2.set_xlim(min_val, max_val)\n",
    "ax2.set_ylim(min_val, max_val)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How do these models perform?\n",
    "\n",
    "A successful regression model would demonstrate a substantial reduction from $\\text{MAD}\\,(y)$ to $\\text{MAD}\\,(\\hat{y})$. The value of $\\text{MAD}\\,(y)$ sets a benchmark for the regression. The linear regression model clearly has some capability to explain the observed deviations in wine quality. Tabulating the results of the regression using the MAD statistic we find\n",
    "\n",
    "<div align=\"center\">\n",
    "\n",
    "| Regressors | MAD |\n",
    "| :--- | ---: |\n",
    "| none | 0.683 |\n",
    "| alcohol only | 0.541 | \n",
    "| all | 0.500 |\n",
    "\n",
    "</div>\n",
    "\n",
    "Are these models good enough to replace human judgment of wine quality? The reader can be the judge."
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "include_colab_link": true,
   "name": "fit absolute",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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