{ "cells": [ { "cell_type": "markdown", "id": "416c23a8-7273-4c3a-9796-e98f6591f490", "metadata": {}, "source": [ "# Propagate_Errors\n", "\n", "The Propagate_Errors class is aimed to perform the Monte Carlo error propagation in order to quantify the uncertainty\n", "of fitted Gaussian Mixture Model (GMM) parameters. The class permits to estimate the effect of \"analytical\" uncertainties\n", " on single observations on GMM results and enables to evaluate the effect of parameters (i.e. n° of observations)\n", " on the final estimates. The **pyco2stats.Propagate_Errors** module assumes input data are normally-distributed, therefore log-transformation of \n", " raw data is required." ] }, { "cell_type": "code", "execution_count": null, "id": "a149dede-e6ea-4190-a17c-948963c28cfc", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pyco2stats as PyCO2\n", "\n", "# ── Generate a synthetic two‐component GMM sample ────────────────\n", "np.random.seed(0)\n", "true_means = np.array([0.7, 2.0])\n", "true_stds = np.array([0.6, 0.4])\n", "true_weights = np.array([0.4, 0.6])\n", "\n", "# draw 500 points from the mixture (log10CO₂ values)\n", "original_sample = PyCO2.GMM.sample_from_gmm(\n", " n_samples=500,\n", " means=true_means,\n", " stds=true_stds,\n", " weights=true_weights\n", ")" ] }, { "cell_type": "markdown", "id": "bd0c1a10-3ef8-4e32-b60d-72ff8333b6e9", "metadata": {}, "source": [ "## Montecarlo error propagation\n", "Fit of the GMM with **pyco2stats.GMM.gaussian_mixtures_sklearn** and successive error propagation." ] }, { "cell_type": "code", "execution_count": 2, "id": "08f392c2-319f-4cd1-bc5c-7ce8a5f7faf8", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "gaussian_mixture_sklearn Monte Carlo: 100%|██████████████████████████████████████████| 100/100 [47:00<00:00, 28.20s/it]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Estimated means after 10% error propagation:\n", " Mean comp#1: 0.56 (90% CI: 0.51–0.63)\n", " Mean comp#2: 1.96 (90% CI: 1.94–1.99)\n", "\n", "Estimated stds after 10% error propagation:\n", " StdDev comp#1: 0.56 (90% CI: 0.52–0.60)\n", " StdDev comp#2: 0.41 (90% CI: 0.39–0.42)\n", "\n", "Estimated weights after 10% error propagation:\n", " Weight comp#1: 0.33 (90% CI: 0.31–0.36)\n", " Weight comp#2: 0.67 (90% CI: 0.64–0.69)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "# ── Propagate a 10% relative measurement error via sklearn‐EM ────\n", "# This will resample the data 100 times, each time perturbing the log‐values\n", "# by ~N(0, (0.1 * value)²), then fitting a sklearn GaussianMixture.\n", "n_sim = 100\n", "res = PyCO2.Propagate_Errors.propagate_sklearn_error(\n", " original_log_data = original_sample,\n", " percentage_relative_error = 10.0,\n", " n_components=2,\n", " n_simulations = n_sim,\n", " max_iter = 200, # sklearn EM max iterations\n", " tol = 1e-4, # convergence tolerance\n", " n_init = 3, # number of EM restarts\n", " covariance_type = 'full',\n", " suppress_warnings = True,\n", " show_progress = True\n", ")\n", "\n", "# ── 3) Extract results into arrays ───────────────────────────────────\n", "means_sim = np.vstack(res['means']) # shape (n_sim, n_components)\n", "stds_sim = np.vstack(res['std_devs']) # shape (n_sim, n_components)\n", "weights_sim = np.vstack(res['weights']) # shape (n_sim, n_components)\n", "\n", "# ── 4) Compute summary statistics ────────────────────────────────────\n", "def summarize(mc_samples, label):\n", " m = mc_samples.mean(axis=0)\n", " lo = np.percentile(mc_samples, 2.5, axis=0)\n", " hi = np.percentile(mc_samples, 97.5, axis=0)\n", " for i,(mu,l,h) in enumerate(zip(m,lo,hi),1):\n", " print(f\" {label} comp#{i}: {mu:.2f} (90% CI: {l:.2f}–{h:.2f})\")\n", "\n", "print(\"\\nEstimated means after 10% error propagation:\")\n", "summarize(means_sim, \"Mean\")\n", "print(\"\\nEstimated stds after 10% error propagation:\")\n", "summarize(stds_sim, \"StdDev\")\n", "print(\"\\nEstimated weights after 10% error propagation:\")\n", "summarize(weights_sim, \"Weight\")\n", "\n" ] }, { "cell_type": "markdown", "id": "9f1e226d-23b8-447e-b31f-90d3a9a478d4", "metadata": {}, "source": [ "### Plot of the Montecarlo error propagation" ] }, { "cell_type": "code", "execution_count": 4, "id": "35959dd4-cc27-4545-b9c8-5b631b58b9e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pyco2stats as PyCO2\n", "\n", "def percentile_lims(mc_samples):\n", " m = np.median(mc_samples)\n", " lo = np.percentile(mc_samples, 2.5, axis=0)\n", " hi = np.percentile(mc_samples, 97.5, axis=0)\n", " return m, lo, hi\n", "\n", "# ── assume your 100×2 arrays are in means_sim, stds_sim, weights_sim\n", "\n", "comp_labels = ['Component 1', 'Component 2']\n", "colors = ['#1f77b4', '#ff7f0e']\n", "\n", "# 1) publication style\n", "plt.rcParams.update({\n", " 'font.family': 'Times New Roman',\n", " 'font.size': 12,\n", " 'axes.linewidth': 1.0,\n", " 'axes.edgecolor': 'black',\n", " 'xtick.direction': 'in',\n", " 'ytick.direction': 'in',\n", " 'xtick.major.size': 6,\n", " 'ytick.major.size': 6,\n", " 'grid.color': 'lightgray',\n", " 'grid.linestyle': '--',\n", " 'grid.linewidth': 0.5,\n", " 'grid.alpha': 0.3,\n", "})\n", "\n", "# 2) common auto‐bins\n", "bins_means = np.histogram_bin_edges(means_sim.flatten(), bins=60)\n", "bins_stds = np.histogram_bin_edges(stds_sim.flatten(), bins=60)\n", "bins_weights = np.histogram_bin_edges(weights_sim.flatten(), bins=60)\n", "\n", "# 3) figure\n", "fig, axs = plt.subplots(3, 2, figsize=(8, 10), constrained_layout=True)\n", "\n", "def style_ax(ax):\n", " ax.grid(axis='y')\n", " ax.spines['top'].set_visible(False)\n", " ax.spines['right'].set_visible(False)\n", "\n", "def plot_dist(ax, data, bins, idx, base_title):\n", " # compute median & CI\n", " m, lo, hi = percentile_lims(data[:, idx])\n", " # histogram\n", " ax.hist(\n", " data[:, idx],\n", " bins=bins,\n", " density=True,\n", " color=colors[idx],\n", " edgecolor='white',\n", " linewidth=0.8,\n", " alpha=0.7\n", " )\n", " # vertical median line\n", " ax.axvline(m, color='black', linestyle='--', linewidth=1)\n", " # dynamic x‐limits just beyond CI\n", " span = bins[1] - bins[0]\n", " ax.set_xlim(m - 20*span, m + 20*span)\n", " # title with median + CI\n", " ax.set_title(\n", " f\"{base_title} {m:.2f}\\n\"\n", " f\"95 % CI: {lo:.2f}–{hi:.2f}\",\n", " fontsize=12\n", " )\n", " if idx == 0:\n", " ax.set_ylabel('Density')\n", " style_ax(ax)\n", "\n", "# Means\n", "plot_dist(axs[0,0], means_sim, bins_means, 0, 'Fitted Median (Comp 1):')\n", "plot_dist(axs[0,1], means_sim, bins_means, 1, 'Fitted Median (Comp 2):')\n", "# Std‑devs\n", "plot_dist(axs[1,0], stds_sim, bins_stds, 0, 'Fitted Std Dev (Comp 1):')\n", "plot_dist(axs[1,1], stds_sim, bins_stds, 1, 'Fitted Std Dev (Comp 2):')\n", "# Weights\n", "plot_dist(axs[2,0], weights_sim, bins_weights, 0, 'Fitted Weight (Comp 1):')\n", "plot_dist(axs[2,1], weights_sim, bins_weights, 1, 'Fitted Weight (Comp 2):')\n", "\n", "# 4) Panel letters\n", "for ax, letter in zip(axs.flat, ['(a)','(b)','(c)','(d)','(e)','(f)']):\n", " ax.text(-0.08, 1.02, letter,\n", " transform=ax.transAxes,\n", " fontsize=14, fontweight='normal', va='bottom')\n", "\n", "plt.tight_layout\n", "plt.savefig(\"montecarlo_error_prop.png\", dpi=300, bbox_inches='tight')\n", "plt.show()\n" ] } ], "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": "3.10.18" } }, "nbformat": 4, "nbformat_minor": 5 }