From 68dffa6486c1fdaec308c89ae0adea259a40167a Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Lo=C3=AFc=20GUEZO?= Date: Sat, 28 Mar 2026 20:04:14 +0100 Subject: [PATCH] feat(learning.ipynb): ajout meilleur algo --- learning.ipynb | 71 +++++++++++++++++++++++++++++++++++++++++++++----- 1 file changed, 65 insertions(+), 6 deletions(-) diff --git a/learning.ipynb b/learning.ipynb index 71838ed..8309b62 100644 --- a/learning.ipynb +++ b/learning.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, "id": "faafb9a0", "metadata": {}, "outputs": [], @@ -45,7 +45,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "id": "8342340f", "metadata": {}, "outputs": [], @@ -78,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "id": "99de3ed7", "metadata": {}, "outputs": [ @@ -107,7 +107,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "id": "09eca16d", "metadata": {}, "outputs": [ @@ -173,7 +173,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "id": "b94a89f2", "metadata": {}, "outputs": [ @@ -260,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "id": "4f1c169f", "metadata": {}, "outputs": [ @@ -285,6 +285,15 @@ "print(f\"Log Max : {y_log.max():.4f}\")" ] }, + { + "cell_type": "markdown", + "id": "7feda3af", + "metadata": {}, + "source": [ + "**Question 20**: Après avoir éventuellement transformé les prix, remplissez le tableau suivant avec les résultats obtenus grâce à la régression linéaire, avec ou sans pré-traitement. Constatez-vous une amélioration des prédictions due au pré-traitement pour ce jeu de données et cette méthode ?\n", + "Dessinez la figure de visualisation pour la méthode qui donne le meilleur score. Que constatez-vous ?" + ] + }, { "cell_type": "markdown", "id": "e2cc7202", @@ -297,6 +306,56 @@ "|Standardisation + LR|0.189665|" ] }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c632df2b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x_test_pred = lr.predict(X_test)\n", + "\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(x_test_pred, y_test, label=\"Vins\")\n", + "\n", + "\n", + "mn = min(x_test_pred.min(), y_test.min())\n", + "mx = max(x_test_pred.max(), y_test.max())\n", + "\n", + "plt.plot(\n", + " [mn, mx],\n", + " [mn, mx],\n", + " color=\"red\",\n", + " linestyle=\"--\",\n", + " label=\"estim_LR = y_test\",\n", + ")\n", + "\n", + "# b = lr.intercept_\n", + "# a = lr.coef_[0]\n", + "\n", + "# # coef_tendance = np.polyfit(x_test_pred, y_test, 1)\n", + "# # p = np.poly1d(coef_tendance)\n", + "# # plt.plot([mn, mx], [p(mn), p(mx)], color=\"green\", label=\"Tendance réelle du modèle\")\n", + "\n", + "plt.xlabel(\"estim_LR\")\n", + "plt.ylabel(\"y_test\")\n", + "plt.legend()\n", + "plt.grid(True, linestyle=\":\", alpha=0.6)\n", + "\n", + "plt.show()" + ] + }, { "cell_type": "markdown", "id": "74f6654b",