{ "cells": [ { "cell_type": "markdown", "id": "bb0e09a0-783e-4c3e-8c13-b4fef138813d", "metadata": {}, "source": [ "# GENESIM with distance weighting\n", "\n", "Mariethoz et al. (2010) propose to weight conditional data by distance.\n", "This is implemented in `mps_genesim` and can be controlled by:\n", "\n", " O.par['distance_measure'] # Distance measure: [1] discrete, [2] continuous\n", " O.par['distance_max'] # Maximum distance\n", " O.par['distance_pow'] # Power (exponent)\n", "\n", "See details about distance weighting in:\n", "[Mariethoz, Gregoire, Philippe Renard, and Julien Straubhaar. \"The direct sampling method to perform multiple-point geostatistical simulations.\" Water Resources Research 46.11 (2010).](https://doi.org/10.1029/2008WR007621)" ] }, { "cell_type": "code", "execution_count": 1, "id": "895248a3-de05-4fb4-9395-83c764562efa", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import mpslib as mps" ] }, { "cell_type": "markdown", "id": "8e02c4ce", "metadata": {}, "source": [ "## Setup the MPS object and training image" ] }, { "cell_type": "code", "execution_count": 2, "id": "41b99d69-c7f0-4a37-bec1-b7f696e07b34", "metadata": {}, "outputs": [], "source": [ "O = mps.mpslib(method='mps_genesim',\n", " verbose_level=-1,\n", " n_cond=25,\n", " n_real=1,\n", " simulation_grid_size=np.array([50, 50, 1]))\n", "\n", "O.ti, TI_filename = mps.trainingimages.strebelle(4, coarse3d=0)" ] }, { "cell_type": "markdown", "id": "4b5381af", "metadata": {}, "source": [ "## Run simulations for varying distance parameters\n", "\n", "Loop over combinations of `distance_max` and `distance_pow` and show the resulting realizations." ] }, { "cell_type": "code", "execution_count": 3, "id": "b0d7e0b7-8ef4-4fa2-ab0a-bb01f81cbc62", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "distance_max=0 distance_pow=0, t=1.97s\n", "distance_max=0 distance_pow=1, t=5.51s\n", "distance_max=0 distance_pow=2, t=5.72s\n", "distance_max=0.02 distance_pow=0, t=1.96s\n", "distance_max=0.02 distance_pow=1, t=5.54s\n", "distance_max=0.02 distance_pow=2, t=5.62s\n", "distance_max=0.04 distance_pow=0, t=1.96s\n", "distance_max=0.04 distance_pow=1, t=5.60s\n", "distance_max=0.04 distance_pow=2, t=5.67s\n", "distance_max=0.06 distance_pow=0, t=0.72s\n", "distance_max=0.06 distance_pow=1, t=1.56s\n", "distance_max=0.06 distance_pow=2, t=0.68s\n", "distance_max=0.08 distance_pow=0, t=0.64s\n", "distance_max=0.08 distance_pow=1, t=1.56s\n", "distance_max=0.08 distance_pow=2, t=0.69s\n", "distance_max=0.1 distance_pow=0, t=0.65s\n", "distance_max=0.1 distance_pow=1, t=1.56s\n", "distance_max=0.1 distance_pow=2, t=0.68s\n", "distance_max=0.12 distance_pow=0, t=0.68s\n", "distance_max=0.12 distance_pow=1, t=1.57s\n", "distance_max=0.12 distance_pow=2, t=0.67s\n", "distance_max=0.14 distance_pow=0, t=0.63s\n", "distance_max=0.14 distance_pow=1, t=1.55s\n", "distance_max=0.14 distance_pow=2, t=0.65s\n", "distance_max=0.16 distance_pow=0, t=0.14s\n", "distance_max=0.16 distance_pow=1, t=0.20s\n", "distance_max=0.16 distance_pow=2, t=0.14s\n", "distance_max=0.18 distance_pow=0, t=0.14s\n", "distance_max=0.18 distance_pow=1, t=0.20s\n", "distance_max=0.18 distance_pow=2, t=0.14s\n", "distance_max=0.2 distance_pow=0, t=0.14s\n", "distance_max=0.2 distance_pow=1, t=0.20s\n", "distance_max=0.2 distance_pow=2, t=0.14s\n", "distance_max=0.22 distance_pow=0, t=0.14s\n", "distance_max=0.22 distance_pow=1, t=0.20s\n", "distance_max=0.22 distance_pow=2, t=0.14s\n", "distance_max=0.24 distance_pow=0, t=0.14s\n", "distance_max=0.24 distance_pow=1, t=0.20s\n", "distance_max=0.24 distance_pow=2, t=0.14s\n", "distance_max=0.26 distance_pow=0, t=0.09s\n", "distance_max=0.26 distance_pow=1, t=0.10s\n", "distance_max=0.26 distance_pow=2, t=0.09s\n", "distance_max=0.28 distance_pow=0, t=0.09s\n", "distance_max=0.28 distance_pow=1, t=0.10s\n", "distance_max=0.28 distance_pow=2, t=0.09s\n", "distance_max=0.3 distance_pow=0, t=0.09s\n", "distance_max=0.3 distance_pow=1, t=0.10s\n", "distance_max=0.3 distance_pow=2, t=0.09s\n" ] }, { "data": { 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "distance_max_arr = [0, 0.02, 0.04, 0.06, 0.08, 0.1, 0.12, 0.14, 0.16, 0.18, 0.2, 0.22, 0.24, 0.26, 0.28, 0.30]\n", "distance_pow_arr = [0, 1, 2]\n", "\n", "n1 = len(distance_max_arr)\n", "n2 = len(distance_pow_arr)\n", "\n", "T = np.zeros((n1, n2))\n", "\n", "fig = plt.figure(figsize=(6, 18))\n", "for i1 in np.arange(n1):\n", " for i2 in np.arange(n2):\n", "\n", " O.par['distance_max'] = distance_max_arr[i1]\n", " O.par['distance_pow'] = distance_pow_arr[i2]\n", " O.par['distance_measure'] = 1 # discrete\n", " O.run()\n", " T[i1, i2] = O.time\n", "\n", " print('distance_max=%g distance_pow=%g, t=%4.2fs' % (O.par['distance_max'], O.par['distance_pow'], T[i1, i2]))\n", "\n", " isp = i1 * n2 + i2 + 1\n", " plt.subplot(n1, n2, isp)\n", " D = np.squeeze(np.transpose(O.sim[0]))\n", " plt.imshow(D, interpolation='none', vmin=0, vmax=1)\n", " plt.title('p=%3.1f, dmax=%3.2f' % (O.par['distance_pow'], O.par['distance_max']))" ] }, { "cell_type": "markdown", "id": "9e1aa7a4", "metadata": {}, "source": [ "## Computation time vs. distance_max\n", "\n", "Plot how computation time varies with `distance_max` for each value of `distance_pow`." ] }, { "cell_type": "code", "execution_count": 4, "id": "02af2ce6-c4eb-435c-8bd6-982d936ae449", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Time (s)')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(distance_max_arr, T, '-*')\n", "plt.xlabel('distance_max')\n", "plt.ylabel('Time (s)')\n", "plt.legend(['pow=%d' % p for p in distance_pow_arr])" ] }, { "cell_type": "markdown", "id": "2836246f", "metadata": {}, "source": [ "## Inspect final parameter set" ] }, { "cell_type": "code", "execution_count": 5, "id": "8e4fbe6e-0f74-4d3c-86e8-d479db87d782", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'n_real': 1,\n", " 'rseed': 1,\n", " 'n_max_cpdf_count': 1,\n", " 'out_folder': '.',\n", " 'ti_fnam': 'ti.dat',\n", " 'simulation_grid_size': array([50, 50, 1]),\n", " 'origin': array([0., 0., 0.]),\n", " 'grid_cell_size': array([1, 1, 1]),\n", " 'mask_fnam': 'mask.dat',\n", " 'hard_data_fnam': 'hard.dat',\n", " 'shuffle_simulation_grid': 2,\n", " 'entropyfactor_simulation_grid': 4,\n", " 'shuffle_ti_grid': 1,\n", " 'hard_data_search_radius': 1,\n", " 'soft_data_categories': array([0, 1]),\n", " 'soft_data_fnam': 'soft.dat',\n", " 'n_threads': -1,\n", " 'debug_level': -1,\n", " 'do_estimation': 0,\n", " 'do_entropy': 0,\n", " 'n_cond': 25,\n", " 'n_cond_soft': 1,\n", " 'n_max_ite': 1000000,\n", " 'distance_measure': 1,\n", " 'distance_max': 0.3,\n", " 'distance_pow': 2,\n", " 'colocate_dimension': 0,\n", " 'max_search_radius': 10000000,\n", " 'max_search_radius_soft': 10000000}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "O.par" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }