{ "cells": [ { "cell_type": "markdown", "metadata": { "tags": [ "remove_cell" ] }, "source": [ "
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Ingenieurinformatik – Übung

\n", " Lehrstuhl Computational Civil Engineering
\n", " Kontakt: Email senden | Individuelle Kontakte siehe Webseite des Lehrstuhls
\n", " Links: \n", " Vorlesungsskript | \n", " Webseite des Lehrstuhls\n", "
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" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting und Interpolation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil A1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Aufgabenstellung" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In der Datei {download}`messwerte.txt <./messwerte.txt>` finden Sie 15 Messwerte entsprechend einer leicht verrauschten Normalverteilung. Nutzen Sie `numpy.polyfit`, um Polynome an die Messwerte zu fitten. Erstellen Sie Fits von Grad 1 bis zur Interpolation bei Grad 14 und plotten Sie diese. " ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell" ] }, "source": [ "### Lösungsvorschlag" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "loesung", "hide-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "data = np.loadtxt('messwerte.txt')\n", "data_x = data[:, 0]\n", "data_y = data[:, 1]\n", "\n", "plt.figure(figsize=[14, 18])\n", "\n", "for i in range(1, 15):\n", "\n", " P = np.polyfit(data_x, data_y, i)\n", "\n", " fit_x = np.linspace(-2.5, 2.5, 100)\n", "\n", " plt.subplot(5,3,i)\n", " plt.scatter(data_x, data_y, color='C1', label=\"Messpunkte\")\n", " plt.plot(fit_x, np.polyval(P, fit_x), color='C2', label=f'Fit g{i}')\n", "\n", " plt.xlabel(\"x\")\n", " plt.ylabel(\"y\")\n", " plt.legend()\n", " plt.grid();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil A2\n", "### Aufgabenstellung\n", "Beantworten Sie folgende Fragen:\n", "1. Warum scheinen manche Fits identisch zu sein?\n", "1. Wenn man, wie in der Vorlesung beschrieben, belibige Funktionen mit einem Polynom annähren kann und die Messdaten mithilfe einer Funktion erzeugt wurden, wieso wird der Fit ab einem gewissen Grad wieder schlechter?\n", "1. Wie würden sich mehr Messwerte im gleichen Intervall auf die Fits auswirken? " ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell", "remove_cell" ] }, "source": [ "### Lösungsvorschlag" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell", "remove_cell" ] }, "source": [ "1. Das manche Fits fast identisch sind hängt mit dem Konvergenzverhalten der Polynome zusammen. Ein Polynom mit einem um eins höheren Grad hat zwar einen Freiheitsgrad mehr, in Form eines zusätzlichen Koeffizienten, allerdings ändert sich die Konvergenz. Polynome mit geradem Grad konvergieren gegen $\\pm \\infty, \\pm \\infty$ während solche mit ungradem Grad gegen $\\pm \\infty, \\mp \\infty$ konvergieren. Messwerte, die annährend Spiegelsymmetrisch verteilt sind, lasssen sich desswegen oft besser durch Polynome mit geradem Grad annähren und eine Erhöhung zu einem ungeraden Grad führt nur zu kleinen Verbesserungen.\n", "1. Es gibt zwei Gründe, warum der Fit sich nicht kontinuierlich der zugrundeliegenden Funktion annährt. Zum einen sind die Daten verrauscht, was bedetet, dass die unverrauschte Funktion die Daten überhaupt nicht exakt darstellt. Ab einem gewissen Grad, hier 8, stellen die Fits die Daten genauer dar. Der andere Grund ist, dass selbst bei unverrauschten Daten, nicht die zugrundeliegende Funktion angenährt wird, sondern die interpolierte im letzten Plot.\n", "1. Mehr Messwerte bedeuten mehr Information über die Form der ursprünglichen Funktion sowie eine Reduzierung des Einflusses des Rauschens, was beides zu Fits führt, die die unterliegende Funktion besser darstellen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil B1\n", "### Aufgabenstellung\n", "\n", "Die Funktion, welche zum Erzeugen der Daten verwendet wurde, ist $\\exp(-x^2)$. Berechnen Sie die L2-Norm aller ihrer Fits. Tragen Sie die Abstände gegen den Grad des Fits auf. Berechnen Sie außerdem den Abstand zwichen den Messwerten und der ursprünglichen Funktion und tragen Sie das Ergebniss als Gerade in ihren Fit ein. Fitten Sie die gleichen Daten ein weiteres Mal, diesmal jedoch mit logarithmisch aufgetragenem Abstand. Ignorieren Sie hierbei die Interpolation." ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell" ] }, "source": [ "### Lösungsvorschlag" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "tags": [ "loesung", "hide-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Bestimmung der L2-Norm\n", "\n", "def l2_norm(y, func_y):\n", " return np.sum((y-func_y)**2) \n", "\n", "norm_fits = []\n", "for i in range(1,15):\n", " P = np.polyfit(data_x, data_y, i)\n", " norm_fits.append(l2_norm(data_y, np.polyval(P, data_x)))\n", " \n", "norm_func = l2_norm(data_y, np.exp(-(data_x)**2))\n", " \n", "plt.figure(figsize=[10,5])\n", "plt.subplot(1,2,1)\n", "plt.xlabel('Polynomgrad')\n", "plt.ylabel('L2-Norm')\n", "plt.grid()\n", "plt.plot(list(range(1, 15)), norm_fits)\n", "plt.plot([1,14],[norm_func, norm_func]);\n", "\n", "plt.subplot(1,2,2)\n", "plt.yscale('log')\n", "plt.xlabel('Polynomgrad')\n", "plt.grid()\n", "plt.plot(list(range(1, 14)), norm_fits[0:-1])\n", "plt.plot([1,14],[norm_func, norm_func]);\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aufgabenteil B2\n", "### Aufgabenstellung\n", "\n", "Beantworten Sie folgende Fragen:\n", "1. Wann ist eine logarithmische Darstellung von Daten sinnvoll?\n", "1. Wieso haben die Plots Plateaus?\n", "1. Wieso ist es sinnvoll, die Interpolation beim logarithmischen Plot wegzulassen?" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "loesung", "hide-cell" ] }, "source": [ "### Lösungsvorschlag\n", "\n", "1. Eine logarithmische Darstellung von Daten ist oft dann sinnvoll, wenn diese auf mindestens einer Achse mehrere Größenordnungen umfassen und Details in den kleineren Größenordnungen von Bedeutung sind. Wie in den Plots von Aufgabenteil B1 zu sehen, lassen sich so auch bei höheren Polynomgraden Details ablesen, die in dem linearen Plot verloren gegangen sind.\n", "1. Die Plateaus korrespondieren mit der Ähnlichkeit der zugehörigen Fits (siehe Aufgabe A2.1).\n", "1. Da die L2-Norm zwischen der interpolierten Funktion und den Daten bis auf einen numerischen Rundungsfehler Null ist, führt dies zu einem Problem mit der logarithmischen Darstellung, da die Null in dieser nicht dargestellt werden kann. Und auch wenn die Norm nicht ganz Null ist, ist sie um viele Größenordnungen kleiner als die Nrom zwischen vorherigem Grad und Daten, was beim Plotten wieder zu einem Verlust von sichtbaren Details führen würde." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }