diff --git a/notebooks/DFY_JEFF4_somenuclides.csv b/notebooks/DFY_JEFF4_somenuclides.csv
new file mode 100644
index 00000000..66a735e3
--- /dev/null
+++ b/notebooks/DFY_JEFF4_somenuclides.csv
@@ -0,0 +1,5 @@
+,Sr90,Cs137,Nd143,Nd144,Nd145,Nd146,Nd147,Nd148,Nd150
+C1,0.0014861,0.0016991,0.0013823,0.001276,0.00097696,0.00079095,0.00062539,0.00049911,0.00022425
+C2,0.0014864,0.0016995,0.0013826,0.0012764,0.00097723,0.00079116,0.00062556,0.00049925,0.00022432
+S1,0.0005934,0.00062325,0.00038788,0.00037033,0.00026744,0.00024771,0.00015465,0.00014863,8.92E-05
+S2,0.00059185,0.00069341,0.00049725,0.00047699,0.00041763,0.00038723,0.0001742,0.00020622,0.0001283
diff --git a/notebooks/FY_JEFF4_somenuclides.csv b/notebooks/FY_JEFF4_somenuclides.csv
new file mode 100644
index 00000000..660df898
--- /dev/null
+++ b/notebooks/FY_JEFF4_somenuclides.csv
@@ -0,0 +1,5 @@
+,Sr90,Cs137,Nd143,Nd144,Nd145,Nd146,Nd147,Nd148,Nd150
+C1,0.058063,0.062481,0.05942,0.054862,0.040262,0.029925,0.022534,0.016781,0.0065965
+C2,0.058076,0.062496,0.059434,0.054875,0.040272,0.029932,0.02254,0.016785,0.0065981
+S1,0.058572,0.061308,0.060302,0.055722,0.039164,0.029986,0.022025,0.016738,0.006543
+S2,0.058479,0.063435,0.060491,0.055845,0.041049,0.029843,0.021911,0.016644,0.0065125
diff --git a/notebooks/notebook_fy_check_jeff4.ipynb b/notebooks/notebook_fy_check_jeff4.ipynb
new file mode 100644
index 00000000..c111ac83
--- /dev/null
+++ b/notebooks/notebook_fy_check_jeff4.ipynb
@@ -0,0 +1,563 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "88c48db4",
+ "metadata": {},
+ "source": [
+ "# Checking FYs for JEFF-4.0"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "1e516fe1",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import sandy"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "32b98f35",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import matplotlib.pyplot as plt\n",
+ "import seaborn as sns\n",
+ "sns.set_style(\"ticks\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 65,
+ "id": "338794b8",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 67,
+ "id": "abb6e9ab",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "df = pd.read_csv(\"FY_JEFF4_somenuclides.csv\", index_col=0)\n",
+ "dferr = pd.read_csv(\"DFY_JEFF4_somenuclides.csv\", index_col=0)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 68,
+ "id": "f76bd98e",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "nuclides = [380900, 551370, 601430, 601450, 601440, 601450, 601460, 601470, 601480, 601500]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "id": "84bf27f2",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "fy = sandy.get_endf6_file(\"jeff_33\", \"nfpy\", 922350)\n",
+ "d = sandy.Fy.from_endf6(fy).data.query(\"MT==459 & E==2.53e-2\")\n",
+ "d_33 = d[d.ZAP.isin(nuclides)].assign(LIB=\"JEFF-3.3\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 70,
+ "id": "13e4d1c4",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "fy = sandy.get_endf6_file(\"jeff_311\", \"nfpy\", 922350)\n",
+ "d = sandy.Fy.from_endf6(fy).data.query(\"MT==459 & E==2.53e-2\")\n",
+ "d_311 = d[d.ZAP.isin(nuclides)].assign(LIB=\"JEFF-3.1.1\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "id": "a7840782",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "data = pd.concat([\n",
+ " d_311,\n",
+ " d_33,\n",
+ "], ignore_index=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 72,
+ "id": "b037aec7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Sr90 | \n",
+ " Cs137 | \n",
+ " Nd143 | \n",
+ " Nd144 | \n",
+ " Nd145 | \n",
+ " Nd146 | \n",
+ " Nd147 | \n",
+ " Nd148 | \n",
+ " Nd150 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " C1 | \n",
+ " 5.80630e-02 | \n",
+ " 6.24810e-02 | \n",
+ " 5.94200e-02 | \n",
+ " 5.48620e-02 | \n",
+ " 4.02620e-02 | \n",
+ " 2.99250e-02 | \n",
+ " 2.25340e-02 | \n",
+ " 1.67810e-02 | \n",
+ " 6.59650e-03 | \n",
+ "
\n",
+ " \n",
+ " C2 | \n",
+ " 5.80760e-02 | \n",
+ " 6.24960e-02 | \n",
+ " 5.94340e-02 | \n",
+ " 5.48750e-02 | \n",
+ " 4.02720e-02 | \n",
+ " 2.99320e-02 | \n",
+ " 2.25400e-02 | \n",
+ " 1.67850e-02 | \n",
+ " 6.59810e-03 | \n",
+ "
\n",
+ " \n",
+ " S1 | \n",
+ " 5.85720e-02 | \n",
+ " 6.13080e-02 | \n",
+ " 6.03020e-02 | \n",
+ " 5.57220e-02 | \n",
+ " 3.91640e-02 | \n",
+ " 2.99860e-02 | \n",
+ " 2.20250e-02 | \n",
+ " 1.67380e-02 | \n",
+ " 6.54300e-03 | \n",
+ "
\n",
+ " \n",
+ " S2 | \n",
+ " 5.84790e-02 | \n",
+ " 6.34350e-02 | \n",
+ " 6.04910e-02 | \n",
+ " 5.58450e-02 | \n",
+ " 4.10490e-02 | \n",
+ " 2.98430e-02 | \n",
+ " 2.19110e-02 | \n",
+ " 1.66440e-02 | \n",
+ " 6.51250e-03 | \n",
+ "
\n",
+ " \n",
+ " JEFF-3.1.1 | \n",
+ " 5.72900e-02 | \n",
+ " 6.22080e-02 | \n",
+ " 5.95410e-02 | \n",
+ " 5.47450e-02 | \n",
+ " 3.94390e-02 | \n",
+ " 2.98660e-02 | \n",
+ " 2.23200e-02 | \n",
+ " 1.68080e-02 | \n",
+ " 6.50740e-03 | \n",
+ "
\n",
+ " \n",
+ " JEFF-3.3 | \n",
+ " 5.67590e-02 | \n",
+ " 6.08970e-02 | \n",
+ " 5.95220e-02 | \n",
+ " 5.47810e-02 | \n",
+ " 3.95600e-02 | \n",
+ " 2.99690e-02 | \n",
+ " 2.24650e-02 | \n",
+ " 1.69270e-02 | \n",
+ " 6.53770e-03 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Sr90 Cs137 Nd143 Nd144 Nd145 \\\n",
+ "C1 5.80630e-02 6.24810e-02 5.94200e-02 5.48620e-02 4.02620e-02 \n",
+ "C2 5.80760e-02 6.24960e-02 5.94340e-02 5.48750e-02 4.02720e-02 \n",
+ "S1 5.85720e-02 6.13080e-02 6.03020e-02 5.57220e-02 3.91640e-02 \n",
+ "S2 5.84790e-02 6.34350e-02 6.04910e-02 5.58450e-02 4.10490e-02 \n",
+ "JEFF-3.1.1 5.72900e-02 6.22080e-02 5.95410e-02 5.47450e-02 3.94390e-02 \n",
+ "JEFF-3.3 5.67590e-02 6.08970e-02 5.95220e-02 5.47810e-02 3.95600e-02 \n",
+ "\n",
+ " Nd146 Nd147 Nd148 Nd150 \n",
+ "C1 2.99250e-02 2.25340e-02 1.67810e-02 6.59650e-03 \n",
+ "C2 2.99320e-02 2.25400e-02 1.67850e-02 6.59810e-03 \n",
+ "S1 2.99860e-02 2.20250e-02 1.67380e-02 6.54300e-03 \n",
+ "S2 2.98430e-02 2.19110e-02 1.66440e-02 6.51250e-03 \n",
+ "JEFF-3.1.1 2.98660e-02 2.23200e-02 1.68080e-02 6.50740e-03 \n",
+ "JEFF-3.3 2.99690e-02 2.24650e-02 1.69270e-02 6.53770e-03 "
+ ]
+ },
+ "execution_count": 72,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "vals = data.query(\"ZAM==922350\").pivot_table(index=\"LIB\", columns=\"ZAP\", values=\"FY\")\n",
+ "vals.columns = pd.Index(map(sandy.zam.zam2nuclide, vals.columns), name=\"ZAP\")\n",
+ "vals = pd.concat([df, vals])\n",
+ "vals"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 73,
+ "id": "1e563113",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Sr90 | \n",
+ " Cs137 | \n",
+ " Nd143 | \n",
+ " Nd144 | \n",
+ " Nd145 | \n",
+ " Nd146 | \n",
+ " Nd147 | \n",
+ " Nd148 | \n",
+ " Nd150 | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " C1 | \n",
+ " 1.48610e-03 | \n",
+ " 1.69910e-03 | \n",
+ " 1.38230e-03 | \n",
+ " 1.27600e-03 | \n",
+ " 9.76960e-04 | \n",
+ " 7.90950e-04 | \n",
+ " 6.25390e-04 | \n",
+ " 4.99110e-04 | \n",
+ " 2.24250e-04 | \n",
+ "
\n",
+ " \n",
+ " C2 | \n",
+ " 1.48640e-03 | \n",
+ " 1.69950e-03 | \n",
+ " 1.38260e-03 | \n",
+ " 1.27640e-03 | \n",
+ " 9.77230e-04 | \n",
+ " 7.91160e-04 | \n",
+ " 6.25560e-04 | \n",
+ " 4.99250e-04 | \n",
+ " 2.24320e-04 | \n",
+ "
\n",
+ " \n",
+ " S1 | \n",
+ " 5.93400e-04 | \n",
+ " 6.23250e-04 | \n",
+ " 3.87880e-04 | \n",
+ " 3.70330e-04 | \n",
+ " 2.67440e-04 | \n",
+ " 2.47710e-04 | \n",
+ " 1.54650e-04 | \n",
+ " 1.48630e-04 | \n",
+ " 8.92000e-05 | \n",
+ "
\n",
+ " \n",
+ " S2 | \n",
+ " 5.91850e-04 | \n",
+ " 6.93410e-04 | \n",
+ " 4.97250e-04 | \n",
+ " 4.76990e-04 | \n",
+ " 4.17630e-04 | \n",
+ " 3.87230e-04 | \n",
+ " 1.74200e-04 | \n",
+ " 2.06220e-04 | \n",
+ " 1.28300e-04 | \n",
+ "
\n",
+ " \n",
+ " JEFF-3.1.1 | \n",
+ " 1.31920e-03 | \n",
+ " 6.93580e-04 | \n",
+ " 8.33760e-04 | \n",
+ " 5.47200e-04 | \n",
+ " 4.34030e-04 | \n",
+ " 2.98670e-04 | \n",
+ " 4.01760e-04 | \n",
+ " 1.17600e-04 | \n",
+ " 6.50750e-05 | \n",
+ "
\n",
+ " \n",
+ " JEFF-3.3 | \n",
+ " 1.30680e-03 | \n",
+ " 6.32840e-04 | \n",
+ " 7.14390e-04 | \n",
+ " 4.92120e-04 | \n",
+ " 3.96460e-04 | \n",
+ " 2.99710e-04 | \n",
+ " 3.81910e-04 | \n",
+ " 1.18300e-04 | \n",
+ " 6.53910e-05 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Sr90 Cs137 Nd143 Nd144 Nd145 \\\n",
+ "C1 1.48610e-03 1.69910e-03 1.38230e-03 1.27600e-03 9.76960e-04 \n",
+ "C2 1.48640e-03 1.69950e-03 1.38260e-03 1.27640e-03 9.77230e-04 \n",
+ "S1 5.93400e-04 6.23250e-04 3.87880e-04 3.70330e-04 2.67440e-04 \n",
+ "S2 5.91850e-04 6.93410e-04 4.97250e-04 4.76990e-04 4.17630e-04 \n",
+ "JEFF-3.1.1 1.31920e-03 6.93580e-04 8.33760e-04 5.47200e-04 4.34030e-04 \n",
+ "JEFF-3.3 1.30680e-03 6.32840e-04 7.14390e-04 4.92120e-04 3.96460e-04 \n",
+ "\n",
+ " Nd146 Nd147 Nd148 Nd150 \n",
+ "C1 7.90950e-04 6.25390e-04 4.99110e-04 2.24250e-04 \n",
+ "C2 7.91160e-04 6.25560e-04 4.99250e-04 2.24320e-04 \n",
+ "S1 2.47710e-04 1.54650e-04 1.48630e-04 8.92000e-05 \n",
+ "S2 3.87230e-04 1.74200e-04 2.06220e-04 1.28300e-04 \n",
+ "JEFF-3.1.1 2.98670e-04 4.01760e-04 1.17600e-04 6.50750e-05 \n",
+ "JEFF-3.3 2.99710e-04 3.81910e-04 1.18300e-04 6.53910e-05 "
+ ]
+ },
+ "execution_count": 73,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "err = data.query(\"ZAM==922350\").pivot_table(index=\"LIB\", columns=\"ZAP\", values=\"DFY\")\n",
+ "err.columns = pd.Index(map(sandy.zam.zam2nuclide, err.columns), name=\"ZAP\")\n",
+ "err = pd.concat([dferr, err])\n",
+ "err"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 118,
+ "id": "0180b4bf",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "%%capture --no-display\n",
+ "fig, ax = plt.subplots(figsize=(10, 4.8), dpi=300)\n",
+ "\n",
+ "vals2 = (vals/vals.iloc[-1] - 1)*100 \n",
+ "err2 = err/vals.iloc[-1]*100\n",
+ "err2 = err/vals*100\n",
+ "step = 1 / (vals2.T.columns.size + 1)\n",
+ "for i, LIB in enumerate(vals2.T.columns):\n",
+ " x = np.arange(vals2.T[LIB].shape[0])\n",
+ " ax.bar(data=vals2.T[LIB].reset_index(), x=x+i*step, height=LIB, yerr=err2.T[LIB], capsize=2, width=step)\n",
+ "ax.legend(labels=vals2.T.columns)\n",
+ "ticks = ax.get_xticks()\n",
+ "ax.set_xticklabels(vals2.columns.values)\n",
+ "ax.set_xticks(np.arange(len(vals2.columns)) + step)\n",
+ "ax.set(\n",
+ " ylabel=\"CFY deviation from JEFF-3.3 $\\\\pm 1\\\\sigma$\",\n",
+ ")\n",
+ "fig.tight_layout()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 119,
+ "id": "2cab4fd9",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "%%capture --no-display\n",
+ "fig, ax = plt.subplots(figsize=(10, 4.8), dpi=100)\n",
+ "\n",
+ "vals2 = (vals/vals.iloc[-2] - 1)*100 \n",
+ "err2 = err/vals*100\n",
+ "step = 1 / (vals2.T.columns.size + 1)\n",
+ "for i, LIB in enumerate(vals2.T.columns):\n",
+ " x = np.arange(vals2.T[LIB].shape[0])\n",
+ " ax.bar(data=vals2.T[LIB].reset_index(), x=x+i*step, height=LIB, yerr=err2.T[LIB], capsize=2, width=step)\n",
+ "ax.legend(labels=vals2.T.columns)\n",
+ "ticks = ax.get_xticks()\n",
+ "ax.set_xticklabels(vals2.columns.values)\n",
+ "ax.set_xticks(np.arange(len(vals2.columns)) + step)\n",
+ "ax.set(\n",
+ " ylabel=\"CFY deviation from JEFF-3.1.1 $\\\\pm 1\\\\sigma$\",\n",
+ ")\n",
+ "fig.tight_layout();"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 123,
+ "id": "25fbcca7",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "%%capture --no-display\n",
+ "fig, axs = plt.subplots(1, 3, figsize=(10, 4.8), dpi=300, gridspec_kw={'width_ratios': [4, 1, 1]})\n",
+ "\n",
+ "ax = axs[0]\n",
+ "vals2 = vals.iloc[:, :4]\n",
+ "err2 = err.iloc[:, :4]\n",
+ "step = 1 / (vals2.T.columns.size + 1)\n",
+ "for i, LIB in enumerate(vals2.T.columns):\n",
+ " x = np.arange(vals2.T[LIB].shape[0])\n",
+ " ax.bar(data=vals2.T[LIB].reset_index(), x=x+i*step, height=LIB, yerr=err2.T[LIB], capsize=2, width=step)\n",
+ "ax.legend(labels=vals2.T.columns, ncol=2)\n",
+ "ticks = ax.get_xticks()\n",
+ "ax.set_xticklabels(vals2.columns.values)\n",
+ "ax.set_xticks(np.arange(len(vals2.columns)) + step)\n",
+ "ax.set(\n",
+ " ylabel=\"cumulative fission yield $\\\\pm 1\\\\sigma$\",\n",
+ " ylim=(.05, None),\n",
+ ")\n",
+ "\n",
+ "ax = axs[1]\n",
+ "vals2 = vals.iloc[:, 4:5]\n",
+ "err2 = err.iloc[:, 4:5]\n",
+ "step = 1 / (vals2.T.columns.size + 1)\n",
+ "for i, LIB in enumerate(vals2.T.columns):\n",
+ " x = np.arange(vals2.T[LIB].shape[0])\n",
+ " ax.bar(data=vals2.T[LIB].reset_index(), x=x+i*step, height=LIB, yerr=err2.T[LIB], capsize=2, width=step)\n",
+ "ax.legend(labels=vals2.T.columns)\n",
+ "ticks = ax.get_xticks()\n",
+ "ax.set_xticklabels(vals2.columns.values)\n",
+ "ax.set_xticks(np.arange(len(vals2.columns)) + step)\n",
+ "ax.get_legend().remove()\n",
+ "ax.set(\n",
+ " ylabel=None,\n",
+ " ylim=(.038, 0.042),\n",
+ ")\n",
+ "\n",
+ "ax = axs[2]\n",
+ "vals2 = vals.iloc[:, 7:8]\n",
+ "err2 = err.iloc[:, 7:8]\n",
+ "step = 1 / (vals2.T.columns.size + 1)\n",
+ "for i, LIB in enumerate(vals2.T.columns):\n",
+ " x = np.arange(vals2.T[LIB].shape[0])\n",
+ " ax.bar(data=vals2.T[LIB].reset_index(), x=x+i*step, height=LIB, yerr=err2.T[LIB], capsize=2, width=step)\n",
+ "ax.legend(labels=vals2.T.columns)\n",
+ "ticks = ax.get_xticks()\n",
+ "ax.set_xticklabels(vals2.columns.values)\n",
+ "ax.set_xticks(np.arange(len(vals2.columns)) + step)\n",
+ "ax.get_legend().remove()\n",
+ "ax.set(\n",
+ " ylabel=None,\n",
+ " ylim=(.016, 0.0175),\n",
+ ")\n",
+ "\n",
+ "fig.tight_layout();"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python3 (sandy-devel)",
+ "language": "python",
+ "name": "sandy-devel"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.10"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/notebooks/notebook_lognormal.ipynb b/notebooks/notebook_lognormal.ipynb
new file mode 100644
index 00000000..5f9301a1
--- /dev/null
+++ b/notebooks/notebook_lognormal.ipynb
@@ -0,0 +1,1414 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "81d34803",
+ "metadata": {},
+ "source": [
+ "# Sampling from multivariate lognormal distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "67679dcf",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:03.246179Z",
+ "iopub.status.busy": "2022-11-20T15:54:03.245434Z",
+ "iopub.status.idle": "2022-11-20T15:54:04.932564Z",
+ "shell.execute_reply": "2022-11-20T15:54:04.931752Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import sandy"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "c894192e-f432-49e6-809a-0cca7427c780",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:04.936970Z",
+ "iopub.status.busy": "2022-11-20T15:54:04.936580Z",
+ "iopub.status.idle": "2022-11-20T15:54:04.942210Z",
+ "shell.execute_reply": "2022-11-20T15:54:04.941508Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import seaborn as sns\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy.stats import lognorm\n",
+ "\n",
+ "sns.set_style(\"ticks\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "abb2d548-c599-4d99-9fea-8b8483dbaeab",
+ "metadata": {},
+ "source": [
+ "Small simple covariance matrix"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "4c059e41-f8db-4897-aff9-4fa701cd4109",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:04.946499Z",
+ "iopub.status.busy": "2022-11-20T15:54:04.945917Z",
+ "iopub.status.idle": "2022-11-20T15:54:04.954557Z",
+ "shell.execute_reply": "2022-11-20T15:54:04.953886Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "# 3 parameters with similar mean values (but not identical!)\n",
+ "parameters = ['A', 'B', 'C']\n",
+ "x1 = 4\n",
+ "x2 = 5\n",
+ "x3 = 6\n",
+ "mean = np.array([x1, x2, x3])\n",
+ "\n",
+ "# relative standard deviations\n",
+ "s1 = 10 / 100\n",
+ "s2 = 3 / 100 # small stdev\n",
+ "s3 = 60 / 100 # large stdev\n",
+ "\n",
+ "# correlations between parameters\n",
+ "c12 = 0.2\n",
+ "c13 = -0.4\n",
+ "c23 = 0.5\n",
+ "\n",
+ "# building covariance matrix\n",
+ "cov = sandy.CategoryCov(\n",
+ " pd.DataFrame(\n",
+ " [\n",
+ " [s1 * x1 * s1 * x1, s1 * x1 * s2 * x2 * c12, s1 * x1 * s3 * x3 * c13],\n",
+ " [s2 * x2 * s1 * x1 * c12, s2 * x2 * s2 * x2, s2 * x2 * s3 * x3 * c23],\n",
+ " [s3 * x3 * s1 * x1 * c13, s3 * x3 * s2 * x2 * c23, s3 * x3 * s3 * x3],\n",
+ " ], index=parameters, columns=parameters,\n",
+ " )\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "7e771b73",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:04.957762Z",
+ "iopub.status.busy": "2022-11-20T15:54:04.957503Z",
+ "iopub.status.idle": "2022-11-20T15:54:05.147823Z",
+ "shell.execute_reply": "2022-11-20T15:54:05.147097Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, ax = plt.subplots(figsize=(3.5, 3.5), dpi=100)\n",
+ "ax.set_aspect(\"equal\")\n",
+ "sns.heatmap(data=cov.get_corr().data, cmap='bwr', vmin=-1, vmax=1, ax=ax)\n",
+ "fig.tight_layout();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "46f30af3",
+ "metadata": {},
+ "source": [
+ "Let's convert mean vector and convariance matrix to relative terms."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "a9861232",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:05.151492Z",
+ "iopub.status.busy": "2022-11-20T15:54:05.151222Z",
+ "iopub.status.idle": "2022-11-20T15:54:05.157720Z",
+ "shell.execute_reply": "2022-11-20T15:54:05.157111Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "A 1.00000e-01\n",
+ "B 3.00000e-02\n",
+ "C 6.00000e-01\n",
+ "Name: STD, dtype: float64"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "cov_r = cov.corr2cov(1/mean)\n",
+ "cov_r.get_std()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "8d117988",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:05.161092Z",
+ "iopub.status.busy": "2022-11-20T15:54:05.160861Z",
+ "iopub.status.idle": "2022-11-20T15:54:05.165345Z",
+ "shell.execute_reply": "2022-11-20T15:54:05.164808Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([1., 1., 1.])"
+ ]
+ },
+ "execution_count": 7,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "mean_r = mean / mean\n",
+ "mean_r"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9a9526af",
+ "metadata": {},
+ "source": [
+ "For parameters with medium/large standard deviations the left tail with a Normal distribution spans in the negative range.\n",
+ "For many nuclear data types, negative values do not have a physical meaning."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "id": "5a6b2ebe",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:05.208515Z",
+ "iopub.status.busy": "2022-11-20T15:54:05.208262Z",
+ "iopub.status.idle": "2022-11-20T15:54:06.920743Z",
+ "shell.execute_reply": "2022-11-20T15:54:06.920041Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "data = cov_r.sampling(nsmp).data.T\n",
+ "data.index.name = \"PARAM\"\n",
+ "data.columns.name = \"SMP\"\n",
+ "data = data.stack().rename(\"VAL\").reset_index()\n",
+ "g = sns.displot(data=data, x=\"VAL\", col=\"PARAM\",\n",
+ " height=3, aspect=1, color=\"dodgerblue\", alpha=.6\n",
+ " )\n",
+ "g.fig.set_dpi(300)\n",
+ "g.axes[0, 0].set_xlabel(None)\n",
+ "g.axes[0, 1].set_xlabel(None)\n",
+ "g.axes[0, 2].set_xlabel(None)\n",
+ "plt.xlim(-0.1, 2.1);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "666e616d",
+ "metadata": {},
+ "source": [
+ "This behavior can be avoided when sampling from a lognormal distribution. "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ea5712ed",
+ "metadata": {},
+ "source": [
+ "## Retrieve mean and covariance matrix of underlying normal distribution"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a67fcf0f",
+ "metadata": {},
+ "source": [
+ "Two-step approach to sample log-normally distributed variables with mean vector $\\mathbf{\\mu}$ and covariance matrix $\\mathbf{\\Sigma}$:\n",
+ "\n",
+ "- draw normally-distributed samples with underlying mean vector $\\mathbf{\\mu_N}$ and covariance matrix $\\mathbf{\\Sigma}_N$;\n",
+ "- apply an exponential operator to the normally-distributed samples."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "dc772241",
+ "metadata": {},
+ "source": [
+ "$$\n",
+ "log\\mathcal{N} \\left( \\mathbf{\\mu}, \\mathbf{\\Sigma} \\right) = exp \\left( \\mathcal{N} \\left( \\mathbf{\\mu}_N, \\mathbf{\\Sigma}_N \\right) \\right)\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0499076a",
+ "metadata": {},
+ "source": [
+ "The underlying mean vector $\\mathbf{\\mu}_N$ and covariance matrix $\\mathbf{\\Sigma}_N$ can be defined starting from $\\mathbf{\\mu}$ and $\\mathbf{\\Sigma}$ as defined in https://doi.org/10.1016/j.nima.2013.06.025"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "ba89caaa",
+ "metadata": {},
+ "source": [
+ "$$\n",
+ "\\mu_{N_i} = ln \\left(\\mu_i\\right) - \\frac{\\sigma_i^2}{2}\n",
+ "$$\n",
+ "\n",
+ "$$\n",
+ "\\sigma_{N_i} = \\sqrt{ln\\left( 1 + \\frac{\\sigma_i^2}{\\mu_i^2}\\right)}\n",
+ "$$\n",
+ "\n",
+ "$$\n",
+ "\\Sigma_{N_{i,j}} = ln\\left( 1 + \\frac{\\Sigma_{i,j}^2}{\\mu_i\\mu_j}\\right)\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6b2ac296",
+ "metadata": {},
+ "source": [
+ "If the mean vector is $\\mathbf{\\mu}=\\mathbf{1}$, the equations above simplify to"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2ab090ae",
+ "metadata": {},
+ "source": [
+ "$$\n",
+ "\\mu_{N_i} = - \\frac{\\sigma_i^2}{2}\n",
+ "$$\n",
+ "\n",
+ "$$\n",
+ "\\sigma_{N_i} = \\sqrt{ln\\left( 1 + \\sigma_i^2 \\right)}\n",
+ "$$\n",
+ "\n",
+ "$$\n",
+ "\\Sigma_{N_{i,j}} = ln\\left( 1 + \\Sigma_{i,j}\\right)\n",
+ "$$"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "8a6c8970",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:06.925201Z",
+ "iopub.status.busy": "2022-11-20T15:54:06.924950Z",
+ "iopub.status.idle": "2022-11-20T15:54:06.928890Z",
+ "shell.execute_reply": "2022-11-20T15:54:06.928156Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "mean_N = - np.diag(cov_r.data) / 2\n",
+ "cov_N = np.log(cov_r.data + 1)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b72a6cde",
+ "metadata": {},
+ "source": [
+ "## Sampling from normal distribution"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "04014c31",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:06.932205Z",
+ "iopub.status.busy": "2022-11-20T15:54:06.931984Z",
+ "iopub.status.idle": "2022-11-20T15:54:06.936708Z",
+ "shell.execute_reply": "2022-11-20T15:54:06.936000Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "nsmp = 10000\n",
+ "y = np.random.randn(3, nsmp)\n",
+ "L = np.linalg.cholesky(cov_N)\n",
+ "smp_N = L.dot(y) + mean_N.reshape(-1, 1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "f159d810",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:06.939777Z",
+ "iopub.status.busy": "2022-11-20T15:54:06.939543Z",
+ "iopub.status.idle": "2022-11-20T15:54:06.942776Z",
+ "shell.execute_reply": "2022-11-20T15:54:06.942084Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "smp_LogN = np.exp(smp_N)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "56d4bf19",
+ "metadata": {},
+ "source": [
+ "### Sample analysis"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "244a903f",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:06.946035Z",
+ "iopub.status.busy": "2022-11-20T15:54:06.945813Z",
+ "iopub.status.idle": "2022-11-20T15:54:06.953886Z",
+ "shell.execute_reply": "2022-11-20T15:54:06.953251Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "data = pd.DataFrame(smp_LogN, index=parameters)\n",
+ "data.index.name = \"PARAM\"\n",
+ "data.columns.name = \"SMP\"\n",
+ "data = data.stack().rename(\"VAL\").reset_index()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "4f6b0f17",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:06.956898Z",
+ "iopub.status.busy": "2022-11-20T15:54:06.956667Z",
+ "iopub.status.idle": "2022-11-20T15:54:12.880390Z",
+ "shell.execute_reply": "2022-11-20T15:54:12.879668Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "g = sns.displot(data=data, x=\"VAL\", col=\"PARAM\")\n",
+ "plt.xlim(0, 3);"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "c5438060",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:12.884329Z",
+ "iopub.status.busy": "2022-11-20T15:54:12.883942Z",
+ "iopub.status.idle": "2022-11-20T15:54:12.905004Z",
+ "shell.execute_reply": "2022-11-20T15:54:12.904280Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " count | \n",
+ " mean | \n",
+ " std | \n",
+ " min | \n",
+ " 25% | \n",
+ " 50% | \n",
+ " 75% | \n",
+ " max | \n",
+ "
\n",
+ " \n",
+ " PARAM | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " A | \n",
+ " 1.00000e+04 | \n",
+ " 9.99768e-01 | \n",
+ " 9.89254e-02 | \n",
+ " 6.60579e-01 | \n",
+ " 9.30635e-01 | \n",
+ " 9.94885e-01 | \n",
+ " 1.06328e+00 | \n",
+ " 1.47582e+00 | \n",
+ "
\n",
+ " \n",
+ " B | \n",
+ " 1.00000e+04 | \n",
+ " 1.00066e+00 | \n",
+ " 3.02411e-02 | \n",
+ " 8.71316e-01 | \n",
+ " 9.80449e-01 | \n",
+ " 1.00005e+00 | \n",
+ " 1.02074e+00 | \n",
+ " 1.13704e+00 | \n",
+ "
\n",
+ " \n",
+ " C | \n",
+ " 1.00000e+04 | \n",
+ " 9.82209e-01 | \n",
+ " 5.87104e-01 | \n",
+ " 1.02501e-01 | \n",
+ " 5.85189e-01 | \n",
+ " 8.45324e-01 | \n",
+ " 1.21383e+00 | \n",
+ " 9.66212e+00 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " count mean std min 25% 50% \\\n",
+ "PARAM \n",
+ "A 1.00000e+04 9.99768e-01 9.89254e-02 6.60579e-01 9.30635e-01 9.94885e-01 \n",
+ "B 1.00000e+04 1.00066e+00 3.02411e-02 8.71316e-01 9.80449e-01 1.00005e+00 \n",
+ "C 1.00000e+04 9.82209e-01 5.87104e-01 1.02501e-01 5.85189e-01 8.45324e-01 \n",
+ "\n",
+ " 75% max \n",
+ "PARAM \n",
+ "A 1.06328e+00 1.47582e+00 \n",
+ "B 1.02074e+00 1.13704e+00 \n",
+ "C 1.21383e+00 9.66212e+00 "
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data.groupby(\"PARAM\").VAL.describe()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cb5c08c6",
+ "metadata": {},
+ "source": [
+ "The shape, mean and standard deviations of the lognormal samples look correct!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "83020e15",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:12.908308Z",
+ "iopub.status.busy": "2022-11-20T15:54:12.908077Z",
+ "iopub.status.idle": "2022-11-20T15:54:12.934420Z",
+ "shell.execute_reply": "2022-11-20T15:54:12.933737Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " PARAM | \n",
+ " A | \n",
+ " B | \n",
+ " C | \n",
+ "
\n",
+ " \n",
+ " PARAM | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " A | \n",
+ " 1.00000e+00 | \n",
+ " 2.13442e-01 | \n",
+ " -3.93749e-01 | \n",
+ "
\n",
+ " \n",
+ " B | \n",
+ " 2.13442e-01 | \n",
+ " 1.00000e+00 | \n",
+ " 4.91663e-01 | \n",
+ "
\n",
+ " \n",
+ " C | \n",
+ " -3.93749e-01 | \n",
+ " 4.91663e-01 | \n",
+ " 1.00000e+00 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ "PARAM A B C\n",
+ "PARAM \n",
+ "A 1.00000e+00 2.13442e-01 -3.93749e-01\n",
+ "B 2.13442e-01 1.00000e+00 4.91663e-01\n",
+ "C -3.93749e-01 4.91663e-01 1.00000e+00"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data.pivot_table(index=\"SMP\", columns=\"PARAM\", values=\"VAL\").corr()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "9574fc52",
+ "metadata": {},
+ "source": [
+ "Also correlations converge to what was is expected."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "e6789650",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:12.938102Z",
+ "iopub.status.busy": "2022-11-20T15:54:12.937466Z",
+ "iopub.status.idle": "2022-11-20T15:54:12.942670Z",
+ "shell.execute_reply": "2022-11-20T15:54:12.941923Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "False"
+ ]
+ },
+ "execution_count": 16,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "(data.VAL < 0).any()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "26b5c891",
+ "metadata": {},
+ "source": [
+ "...and all values the lognormal distribution are obviously positive!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "efd24441",
+ "metadata": {},
+ "source": [
+ "If we multiply the relative samples by the original mean we go back to absolute values."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "a0ae16c7",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:12.946506Z",
+ "iopub.status.busy": "2022-11-20T15:54:12.945915Z",
+ "iopub.status.idle": "2022-11-20T15:54:13.744741Z",
+ "shell.execute_reply": "2022-11-20T15:54:13.743994Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "foo = lambda row: row.VAL * mean[0] if row.PARAM == \"A\" else row.VAL * mean[1] if row.PARAM == \"B\" else row.VAL * mean[2]\n",
+ "data[\"VAL_ABS\"] = data.apply(foo, axis=1)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "c90b735b",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:13.750318Z",
+ "iopub.status.busy": "2022-11-20T15:54:13.748811Z",
+ "iopub.status.idle": "2022-11-20T15:54:17.903192Z",
+ "shell.execute_reply": "2022-11-20T15:54:17.902506Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "g = sns.displot(data=data, x=\"VAL_ABS\", col=\"PARAM\")\n",
+ "plt.xlim(0, 15);"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "4d8940f7",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:17.906289Z",
+ "iopub.status.busy": "2022-11-20T15:54:17.906049Z",
+ "iopub.status.idle": "2022-11-20T15:54:17.924364Z",
+ "shell.execute_reply": "2022-11-20T15:54:17.923652Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " count | \n",
+ " mean | \n",
+ " std | \n",
+ " min | \n",
+ " 25% | \n",
+ " 50% | \n",
+ " 75% | \n",
+ " max | \n",
+ "
\n",
+ " \n",
+ " PARAM | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " A | \n",
+ " 1.00000e+04 | \n",
+ " 3.99907e+00 | \n",
+ " 3.95701e-01 | \n",
+ " 2.64232e+00 | \n",
+ " 3.72254e+00 | \n",
+ " 3.97954e+00 | \n",
+ " 4.25314e+00 | \n",
+ " 5.90329e+00 | \n",
+ "
\n",
+ " \n",
+ " B | \n",
+ " 1.00000e+04 | \n",
+ " 5.00328e+00 | \n",
+ " 1.51205e-01 | \n",
+ " 4.35658e+00 | \n",
+ " 4.90225e+00 | \n",
+ " 5.00025e+00 | \n",
+ " 5.10370e+00 | \n",
+ " 5.68518e+00 | \n",
+ "
\n",
+ " \n",
+ " C | \n",
+ " 1.00000e+04 | \n",
+ " 5.89325e+00 | \n",
+ " 3.52262e+00 | \n",
+ " 6.15008e-01 | \n",
+ " 3.51114e+00 | \n",
+ " 5.07194e+00 | \n",
+ " 7.28297e+00 | \n",
+ " 5.79727e+01 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " count mean std min 25% 50% \\\n",
+ "PARAM \n",
+ "A 1.00000e+04 3.99907e+00 3.95701e-01 2.64232e+00 3.72254e+00 3.97954e+00 \n",
+ "B 1.00000e+04 5.00328e+00 1.51205e-01 4.35658e+00 4.90225e+00 5.00025e+00 \n",
+ "C 1.00000e+04 5.89325e+00 3.52262e+00 6.15008e-01 3.51114e+00 5.07194e+00 \n",
+ "\n",
+ " 75% max \n",
+ "PARAM \n",
+ "A 4.25314e+00 5.90329e+00 \n",
+ "B 5.10370e+00 5.68518e+00 \n",
+ "C 7.28297e+00 5.79727e+01 "
+ ]
+ },
+ "execution_count": 19,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data.groupby(\"PARAM\").VAL_ABS.describe()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "bc9791c9",
+ "metadata": {},
+ "source": [
+ "Relative standard deviation."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "ffb065f6",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:17.927930Z",
+ "iopub.status.busy": "2022-11-20T15:54:17.927688Z",
+ "iopub.status.idle": "2022-11-20T15:54:17.969605Z",
+ "shell.execute_reply": "2022-11-20T15:54:17.968865Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "PARAM\n",
+ "A 9.89483e-02\n",
+ "B 3.02212e-02\n",
+ "C 5.97738e-01\n",
+ "dtype: float64"
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data.pivot_table(index=\"SMP\", columns=\"PARAM\", values=\"VAL_ABS\").std() / data.pivot_table(index=\"SMP\", columns=\"PARAM\", values=\"VAL_ABS\").mean()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7e15fa1f",
+ "metadata": {},
+ "source": [
+ "Correlations."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "id": "7cdadc14",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:17.973110Z",
+ "iopub.status.busy": "2022-11-20T15:54:17.972872Z",
+ "iopub.status.idle": "2022-11-20T15:54:17.999243Z",
+ "shell.execute_reply": "2022-11-20T15:54:17.998512Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " PARAM | \n",
+ " A | \n",
+ " B | \n",
+ " C | \n",
+ "
\n",
+ " \n",
+ " PARAM | \n",
+ " | \n",
+ " | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " A | \n",
+ " 1.00000e+00 | \n",
+ " 2.13442e-01 | \n",
+ " -3.93749e-01 | \n",
+ "
\n",
+ " \n",
+ " B | \n",
+ " 2.13442e-01 | \n",
+ " 1.00000e+00 | \n",
+ " 4.91663e-01 | \n",
+ "
\n",
+ " \n",
+ " C | \n",
+ " -3.93749e-01 | \n",
+ " 4.91663e-01 | \n",
+ " 1.00000e+00 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ "PARAM A B C\n",
+ "PARAM \n",
+ "A 1.00000e+00 2.13442e-01 -3.93749e-01\n",
+ "B 2.13442e-01 1.00000e+00 4.91663e-01\n",
+ "C -3.93749e-01 4.91663e-01 1.00000e+00"
+ ]
+ },
+ "execution_count": 21,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data.pivot_table(index=\"SMP\", columns=\"PARAM\", values=\"VAL_ABS\").corr()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d4ae8e79",
+ "metadata": {},
+ "source": [
+ "## Plot sample convergence"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "8d467a14",
+ "metadata": {},
+ "source": [
+ "For these plots we use the functions and methods already implemented in `sandy`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "id": "5dcbf027",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:18.002997Z",
+ "iopub.status.busy": "2022-11-20T15:54:18.002754Z",
+ "iopub.status.idle": "2022-11-20T15:54:18.006286Z",
+ "shell.execute_reply": "2022-11-20T15:54:18.005585Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "nsmp = list(range(10, 1000, 10)) + list(range(1000, 5001, 100))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "id": "02a29190",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:18.009607Z",
+ "iopub.status.busy": "2022-11-20T15:54:18.009368Z",
+ "iopub.status.idle": "2022-11-20T15:54:20.984947Z",
+ "shell.execute_reply": "2022-11-20T15:54:20.984223Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "lognorm = {n: cov_r.sampling(n, pdf=\"lognormal\").data.std() for n in nsmp}\n",
+ "norm = {n: cov_r.sampling(n, pdf=\"normal\").data.std() for n in nsmp}"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "id": "d3f83e0f",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:20.988550Z",
+ "iopub.status.busy": "2022-11-20T15:54:20.988291Z",
+ "iopub.status.idle": "2022-11-20T15:54:21.014551Z",
+ "shell.execute_reply": "2022-11-20T15:54:21.013861Z"
+ }
+ },
+ "outputs": [],
+ "source": [
+ "df = pd.DataFrame(norm).T\n",
+ "df.index.name = \"NSMP\"\n",
+ "df.columns.name = \"PARAM\"\n",
+ "dfnorm = df.stack().rename(\"STD\").reset_index().assign(PDF=\"normal\")\n",
+ "\n",
+ "df = pd.DataFrame(lognorm).T\n",
+ "df.index.name = \"NSMP\"\n",
+ "df.columns.name = \"PARAM\"\n",
+ "dflognorm = df.stack().rename(\"STD\").reset_index().assign(PDF=\"lognormal\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "id": "4e1bb008",
+ "metadata": {
+ "execution": {
+ "iopub.execute_input": "2022-11-20T15:54:21.018079Z",
+ "iopub.status.busy": "2022-11-20T15:54:21.017831Z",
+ "iopub.status.idle": "2022-11-20T15:54:21.701060Z",
+ "shell.execute_reply": "2022-11-20T15:54:21.700289Z"
+ }
+ },
+ "outputs": [
+ {
+ "data": {
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\n",
+ "text/plain": [
+ "