{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# 2D example\n", "In this example, we look at how the package can be used to identify a two-dimensional design space. Afterwards, investigation of nominal points can be carried out by identifying acceptable operating regions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Imports\n", "from dside import DSI\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## The problem\n", "The design space identification technique used here is based on point cloud analysis using alpha shapes. The input into the DSI entity is simply a pandas dataframe containing the manipulated variables and the outputs (key performance indicators - KPIs). Here, we consider an example problem where we will be generating our input and outputs using some simple non-linear constraints." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " MV1 MV2 KPI1 KPI2\n", "0 -10.0 -10.0 100.00 300.00\n", "1 0.0 0.0 0.00 0.00\n", "2 5.0 -5.0 -25.00 25.00\n", "3 -5.0 5.0 -25.00 25.00\n", "4 -2.5 -2.5 6.25 18.75\n" ] } ], "source": [ "# ----- Generate Inputs ----- #\n", "def Sobol_sequence(lbd, ubd, power_no):\n", " \"\"\"\n", " Create 2^power_no of inputs for sampling based on the lists\n", " of lbd (lower bound) and ubd (upper bound).\n", " \"\"\"\n", " from scipy.stats import qmc\n", " sampler = qmc.Sobol(d = len(lbd), scramble = False)\n", " inputs = sampler.random_base2(m = power_no)\n", " inputs = qmc.scale(inputs, lbd, ubd)\n", " return inputs\n", "\n", "# Preparing example dataset\n", "MV1_bounds = [-10, 10]\n", "MV2_bounds = [-10, 10]\n", "\n", "lbd = [MV1_bounds[0], MV2_bounds[0]]\n", "ubd = [MV1_bounds[1], MV2_bounds[1]]\n", "\n", "# Use Sobol sequence to generate inputs\n", "pwr = 10\n", "inputs = Sobol_sequence(lbd, ubd, pwr)\n", "MV1 = inputs[:, 0]\n", "MV2 = inputs[:, 1]\n", "\n", "# ----- Create Outputs and dataframe ----- #\n", "# Create example KPIs\n", "KPI1 = MV1**2 + MV2*MV1 - MV2**2\n", "KPI2 = MV1**2 + MV2*MV1 + MV2**2\n", "\n", "d = np.array([MV1, MV2, KPI1, KPI2]).T\n", "l = ['MV1', 'MV2', 'KPI1', 'KPI2']\n", "data = pd.DataFrame(d, columns = l)\n", "print(data.head(5))" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "So we have created a dataframe containing the manipulated variables: MV1 & MV2 with the outputs: KPI1 & KPI2. Let's visualize our data by creating some plots." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fs = 14\n", "fig, ax = plt.subplots(1, 2, figsize = (8, 3))\n", "ax1 = ax[0].scatter(MV1, MV2, c = KPI1, marker = '.')\n", "cbar1 = fig.colorbar(ax1, ax = ax[0])\n", "ax[0].set_title('KPI1', fontsize = fs)\n", "ax[0].set_xlabel('MV1', fontsize = fs)\n", "ax[0].set_ylabel('MV2', fontsize = fs)\n", "ax[0].set_yticks([-10, -5, 0, 5, 10])\n", "\n", "ax2 = ax[1].scatter(MV1, MV2, c = KPI2, marker = '.')\n", "cbar2 = fig.colorbar(ax2, ax = ax[1])\n", "ax[1].set_title('KPI2', fontsize = fs)\n", "ax[1].set_xlabel('MV1', fontsize = fs)\n", "ax[1].set_ylabel('MV2', fontsize = fs)\n", "ax[1].set_yticks([-10, -5, 0, 5, 10])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Design Space Identification\n", "As shown from the plots, we can see clearly that the outputs are non-linear with respect to the manipulated variables. However, the design space identification method used in the package allows for the identification of non-convex hulls using alpha shapes. So let's go ahead and identify our design space by first defining some constraints on the KPIs." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bisection search for alpha multiplier (radius)\n", " tol: 1.000e-03 maxiter: 50\n", " lb: 1.000e-03 ub: 5.000e+00\n", "____________________________________________________\n", " No iter | alpha multiplier | Violation Flag \n", "____________________________________________________\n", " 1 | 2.500e+00 | True \n", " 2 | 1.251e+00 | True \n", " 3 | 6.259e-01 | True \n", " 4 | 3.134e-01 | True \n", " 5 | 1.572e-01 | True \n", " 6 | 7.911e-02 | True \n", " 7 | 4.005e-02 | False \n", " 8 | 5.958e-02 | True \n", " 9 | 4.982e-02 | False \n", " 10 | 5.470e-02 | True \n", " 11 | 5.226e-02 | True \n", " 12 | 5.104e-02 | False \n", " 13 | 5.165e-02 | True \n", " 14 | 5.134e-02 | True \n", " 15 | 5.119e-02 | True \n", " 16 | 5.112e-02 | True \n", " 17 | 5.108e-02 | False \n", "[17] Optimal amul: 5.1077e-02 alpha: 5.088e+00\n", "Tol: 1.000e-03 Bisection Gap: 3.814e-05\n", "vnum: 0 maxvnum: 0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Check for violations inside design space:\n", "Empty DataFrame\n", "Columns: [MV1, MV2, KPI1, KPI2, SatFlag]\n", "Index: []\n" ] } ], "source": [ "# Define our manipulated variable labels\n", "vn = ['MV1', 'MV2']\n", "# Define the KPI constraints as a dictionary\n", "# the keys corresponds to the column of the dataframe\n", "constraints = {'KPI1': [-50, 1e20], 'KPI2': [-1e20, 100]}\n", "\n", "# Initialize the design space entity\n", "ds = DSI(data)\n", "# Apply the constraints separating the satisfied and violated points\n", "ds.screen(constraints)\n", "# Finding the design space (alpha shape)\n", "ds.find_DSp(vn)\n", "# Plot the design space\n", "ds.plot()\n", "plt.show()\n", "\n", "# Check if there are any violated points in the design space\n", "print('Check for violations inside design space:')\n", "print(ds.vindsp)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the alpha shapes can capture the non-convexity of the design space without any violated points inside the design space. Here, we used a bisection search to find the alpha radius value which gives no violation inside our design space. \n", "\n", "We can check the details of the identified design space by calling `ds.report` and also `ds.send_output()` to output a text file with the details." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Design space size: 240.96145629882812\n" ] } ], "source": [ "# Print out the size of the identified design space\n", "print('Design space size:', ds.report['space_size'])\n", "\n", "# Output the details about the design space as a .txt file\n", "ds.send_output('example_2D_1')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Further Analysis\n", "We can also use the same dataset with different constraints to identify a different design space. This time, lets print out the alpha radius search iterations by giving some options." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bisection search for alpha multiplier (radius)\n", " tol: 1.000e-03 maxiter: 50\n", " lb: 1.000e-03 ub: 5.000e+00\n", "____________________________________________________\n", " No iter | alpha multiplier | Violation Flag \n", "____________________________________________________\n", " 1 | 2.500e+00 | True \n", " 2 | 1.251e+00 | True \n", " 3 | 6.259e-01 | True \n", " 4 | 3.134e-01 | True \n", " 5 | 1.572e-01 | True \n", " 6 | 7.911e-02 | True \n", " 7 | 4.005e-02 | True \n", " 8 | 2.053e-02 | True \n", " 9 | 1.076e-02 | False \n", " 10 | 1.565e-02 | True \n", " 11 | 1.320e-02 | False \n", " 12 | 1.443e-02 | True \n", " 13 | 1.381e-02 | False \n", "[13] Optimal amul: 1.3815e-02 alpha: 1.376e+00\n", "Tol: 1.000e-03 Bisection Gap: 6.102e-04\n", "vnum: 0 maxvnum: 0\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Check for violations inside design space:\n", "Empty DataFrame\n", "Columns: [MV1, MV2, KPI1, KPI2, SatFlag, SatFlag]\n", "Index: []\n", "Number of regions: 2\n" ] } ], "source": [ "# New constraints\n", "constraints = {'KPI1': [1, 1e20], 'KPI2': [-1e20, 70]}\n", "\n", "# Initialize the design space entity\n", "ds = DSI(data)\n", "# Apply the constraints separating the satisfied and violated points\n", "ds.screen(constraints)\n", "# Finding the design space (alpha shape)\n", "ds.find_DSp(vn, opt = {'printF': True})\n", "# Plot the design space\n", "ds.plot()\n", "plt.show()\n", "\n", "# Check if there are any violated points in the design space\n", "print('Check for violations inside design space:')\n", "print(ds.vindsp)\n", "\n", "# The framework is also able to handle with disjointed spaces\n", "print('Number of regions:', ds.report['no_reg'])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In addition, we can identify acceptable operating regions with respect to any nominal point. Let's assume we have a nominal point of interest at `[-5, 0]`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AOR size: 12.352629621824462\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# The find_AOR function plots the AOR boundary\n", "# therefore if we call ds.find_AOR() after ds.plot()\n", "# the boudary will be drawn over the design space plot.\n", "x = [-5, 0]\n", "ds.plot()\n", "ds.find_AOR(x)\n", "# plt.show()\n", "ax = ds.ax\n", "ax.set_facecolor('white')\n", "plt.savefig('2D.svg', facecolor = 'white', transparent = False)\n", "\n", "# Call ds.all_x[str(x)] to access the details on the AOR\n", "print('AOR size:', ds.all_x[str(x)]['space_size'])\n", "\n", "# When we call ds.send_output() the details of any identified\n", "# AOR will also be outputted in the text file.\n", "ds.send_output('example_2D_2')\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As shown, we can identify acceptable operating regions with respect to any nominal points. This allows for the quantification of acceptable ranges with respect to the nominal point. In other words, we can obtain +- value of the manipulated variable axes where operation is guaranteed to still be inside of the design space." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.9 ('env')", "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": "3.9.9" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "f97846fb61c50dd60f2e72d1c5999fbf63d4268113ccf00e52371827c98df6d2" } } }, "nbformat": 4, "nbformat_minor": 2 }