1098 lines
774 KiB
Plaintext
1098 lines
774 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 16,
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"metadata": {},
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"outputs": [
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{
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"ename": "SyntaxError",
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"evalue": "incomplete input (4052887367.py, line 38)",
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"output_type": "error",
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"traceback": [
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"\u001b[0;36m Cell \u001b[0;32mIn[16], line 38\u001b[0;36m\u001b[0m\n\u001b[0;31m # & (array[\"match_chi2\"] < 5)]\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m incomplete input\n"
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]
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}
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],
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"source": [
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"import uproot\n",
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"import awkward as ak\n",
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"import matplotlib.pyplot as plt\n",
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"import seaborn as sns\n",
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"import numpy as np\n",
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"import mplhep\n",
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"\n",
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"mplhep.style.use([\"LHCbTex2\"])\n",
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"input_tree = uproot.open({\n",
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" \"/work/cetin/LHCb/reco_tuner/data/tracking_losses_ntuple_B_BJpsi_def_selected.root\":\n",
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" \"Selected\"\n",
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"})\n",
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"array = input_tree.arrays()\n",
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"\n",
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"array[\"dSlope_yEndT\"] = array[\"ideal_state_9410_ty\"] - array[\n",
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" \"ideal_state_770_ty\"]\n",
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"array[\"dSlope_yEndT_abs\"] = abs(array[\"dSlope_yEndT\"])\n",
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"\n",
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"array[\"dSlope_xEndT\"] = array[\"ideal_state_9410_tx\"] - array[\n",
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" \"ideal_state_770_tx\"]\n",
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"array[\"dSlope_xEndT_abs\"] = abs(array[\"dSlope_xEndT\"])\n",
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"array[\"x_EndT_abs\"] = abs(array[\"ideal_state_9410_x\"])\n",
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"array[\"x_EndVelo_abs\"] = abs(array[\"ideal_state_770_x\"])\n",
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"\n",
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"array[\"y_EndT_abs\"] = abs(array[\"ideal_state_9410_y\"])\n",
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"array[\"y_EndVelo_abs\"] = abs(array[\"ideal_state_770_y\"])\n",
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"\n",
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"array[\"z_mag_xEndT\"] = (\n",
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" array[\"ideal_state_770_x\"] - array[\"ideal_state_9410_x\"] -\n",
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" array[\"ideal_state_770_tx\"] * array[\"ideal_state_770_z\"] +\n",
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" array[\"ideal_state_9410_tx\"] *\n",
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" array[\"ideal_state_9410_z\"]) / array[\"dSlope_xEndT\"]\n",
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"\n",
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"array[\"z_mag_corr\"] = array[\"z_mag_xEndT\"] - array[\"match_zmag\"]\n",
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"\n",
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"sel_array = array[(array[\"z_mag_xEndT\"] < 5800)\n",
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" & (array[\"z_mag_xEndT\"] > 5000)]\n",
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" # & (array[\"match_chi2\"] < 5)]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {},
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"outputs": [
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{
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"data": {
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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"plt.hist(\n",
|
|
" sel_array[\"z_mag_xEndT\"],\n",
|
|
" bins=100,\n",
|
|
" # range=[5100, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" density=True,\n",
|
|
")\n",
|
|
"plt.xlabel(r\"z$_{Mag}$ [mm]\")\n",
|
|
"plt.ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_dist.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 1200x900 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
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],
|
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"source": [
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"bins = np.linspace(-0.35, 0.35, 35)\n",
|
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"sns.regplot(\n",
|
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" x=ak.to_numpy(sel_array[\"ideal_state_770_tx\"]),\n",
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" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
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" x_bins=bins,\n",
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" fit_reg=None,\n",
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" x_estimator=np.mean,\n",
|
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")\n",
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"# plt.ylim(5100, 5700)\n",
|
|
"plt.xlabel(\"$t_x$\")\n",
|
|
"plt.ylabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_tx_dist.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_tx\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dx/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"$t_y$\")\n",
|
|
"plt.ylabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_ty_dist.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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xQBAGAAAAAACAsUAQBrjs1gO3OziaXg5+BAAAAADAScwIAxxkJ+S6VJAmPMN7V49+D34EAAAAAKBb7AgDHLL5RLryub3adz6Ttp442g4AAAAADK1hP0mDwUEQBjjkU1P65nt7tV9/J900ne0HAAAAAAaR3ZM0hGHoBYIwwCFfPOys/ssO6wEAAABg2HGSBv1GEAY4pPqts/UAAAAAMOw4SYN+IwgDHOJ/3tl6AAAAABh2nKRBvxGEAQ45d6qz+lc7rAcAAACAYcdJGvQbQRjgkLdD0gvP2as9eVy6GHK2HwAAAAAYNJykQb8RhAEOmTwhffKavdrrr0veE462AwAAAAADh5M06DeCMMBBF063r7kZs1cHAAAAAKOGkzToN4IwwGVvEYIBAAAAGFOcpEG/EYQBAAAAAADXcJIG/UQQBgAAAAAABhonadArBGEAAAAAAAAYCwRhAAAAAAAAGAvH3G4AOIpKpaLZ2dmWNfPz85qfn+9TRzjIrQfSxbDbXQAAAAAAnLa0tKSlpaWWNZVKpU/d7EcQhqFWr9e1vr7esmZra6tP3YynWw/a11wqSBMehlsCAAAAwKjb2tpq+zrdTQRhGGoej0fT09Mta7xeb5+6GT+bT6Qrn9urfecz6dwPud0xAAAAAIwyr9ermZmZljWVSkX1er1PHe1GEIahNj09rbW1NbfbGFufmtI339ur/fo76aYpvfeKsz0BAAAAANxjZzzR7Oysa7vGGJYPoGtfPOys/ssO6wEAAAAA6CWCMABdq37rbD0AAAAAAL1EEAaga/7nna0HAAAAAKCXCMIAdO3cqc7qX+2wHgAAAAA6YVnSs3rrh2W53SXcxLB8AF17OyR98Ft7A/NPHpcuhpzvCQAAAMD4qlvSsQ9b1zy9Jk0Y/ekHg4cdYQC6NnlC+uQ1e7XXX5e8JxxtBwAAAACAltgRBuBILpyWLhVa19yMbdcBAAAAwF4eY3uXVrsaoBcIwgA47i1CMAAAAACHMAyOKqJ/OBoJAAAAAACAsUAQBgAAAAAAgLFAEAYAAAAAAICxQBAGAAAAAACAsUAQBgAAAAAAgLHAXSOBIWFZUt1qXeMxtu+40s+1AAAAAAAYFgRhwJCoW9KxD1vXPL1m77bDvVwLAAAAAIBhwdFIAAAAAAAAjAWCMAAAAAAAAIwFgjAAAAAAAACMBYIwAAAAAAAAjAWCMAAAAAAAAIwF7hoJ4Eg8xvYdJtvVAAAAAADgNoIwAEdiGNIEQRcAAAAAYAhwNBIAAAAAAMBFtx643cH4IAgDAAAAAABjo9+hk53rXSoQhvULQRgAAAAAABgJvQqdLEt6Vm/9sKz219p8Il353F7v73wmbT2xV4vuMSMMAAAAAAAMvU5Dp3M/lLwnDv583ZKOfdh6jafX2s9L/tSUvvneXk9ffyfdNKX3XrFXj+6wIwwAAAAAAAy9bkInp33xsLP6LzusR+cIwgAAAAAAwNAbxNCp+q2z9egcQRgAAAAAABh6gxg6+Z93th6dY0YYhlqlUtHs7GzLmvn5ec3Pz/epIwAAAACAGwYxdDp3Srr7e/v1r55yrpd+WVpa0tLSUsuaSqXSp272IwjDUKvX61pfX29Zs7W11aduAAAAAABuGcTQ6e2Q9MFv7c0uO3lcuhhyvienbW1ttX2d7iaCMAw1j8ej6enpljVer7dP3QAAAAAA3DKIodPkCemT16RLhfa1118//C6Ww8Tr9WpmZqZlTaVSUb1e71NHuxGEYahNT09rbW3N7TYAAAAAAC4b1NDpwun2Pd2MbdeNAjvjiWZnZ13bNcawfAAHuvXA7Q4AAAAAoDN2wqRBDJ3eGrB+RhlBGDCG7IRclwqEYQAAAABGD6HTeCMIA8bM5hPpyuf2at/5TNp64mg7AAAAAAD0DUEYMGY+Ne0Nj5Skr7+TbprO9gMAAAAAQL8QhAFj5ouHndV/2WE9AAAAAACDiiAMGDPVb52tBwAAAABgUBGEAWPG/7yz9QAAAAAADCqCMGDMnDvVWf2rHdYDAAAAADCoCMKAMfN2SHrhOXu1J49LF0PO9gMAAAAAQL8QhAFjZvKE9Mlr9mqvvy55TzjaDgAAAAAAfUMQBoyhC6fb19yM2asDAAAAAGBYEIQBONBbhGAAAAAAgBFDEAYAAAAAAICxQBAGAAAAAACAsUAQBgAAAAAA0KFbD9zuAN0gCAMAAAAAANjBTsh1qUAYNowIwlxQLpcVjUZt1ZqmqWQyqWAwKMMwZBiGgsGg0um0arVa1z0sLi4qGo3K7/c314zH4yoWiwO1JgAAAAAAdnkM6em11g+P0XqNzSfSlc/tXe+dz6StJ0duG31EENZDtVqtGVa1egSDQQUCgbZrxeNxhcNh5XI5lcvl5ufK5bIWFxfl9/uVy+U66rFYLMrv9yudTkuS8vm8SqWSMpmMTNNUNBpVNBrtKGRzYk0AAPD/t3f/sG1l+53Af/LMe5hgA4f2AAEGdhOqSRvS02xrqtsgKUgZSJCkMrlY7DYupB2kfjCkws0ugpDTvWALDVnsIikWS067jS1u+4CF7mtsGAgw4l0jQR7ee2NuYZChKImiJF7+0f18AAGidXju78qH4tVX55wLAFzX1lbEZ/dmf2xdEYT9XT/in38z3/H+6dcRP+/fvm6W5/NVF3CXXCeUGoVGF0nTNMrl8pnw6zKNRiOOj4+j2Wxe2bbX641notXr9TPPKRaLUa1Wo1wuR6/Xi3K5HMfHx1EoFJbeJwAAAKzK3//ieu3/4RcR//HfZlMLi2dG2AK9fPlyrnaVSmXmjLBarRZJkkSpVBrPrjo5OYl2ux17e3vn2rdareh0OjOPOZphFvEpoLosOGu32xHxadbZqP0y+wQAAIBVGvxLtu1ZLTPCFqTVakWaprG3t3fl/l9PnjyZ2U+v14u9vb04ODg487XRDKtGoxG1Wi36/X+df/n8+fOoVquX9lur1cZLE2fNRhsdo9PpRK/Xi1arFfV6fWl9AgAAwCo9+J1s27NaW8PhcLjqIu6C7e3tiIg4OTm5dT/FYjG63e7MdkmSjI850u12o1KpXNl2MBjMXJ7Y6XTGM7cKhUIMBoOl9Hkdjx8/jnfv3sWjR4/i7du3t+orSz9+jPj8r2e3+e3PPq1T39S+AAAA7pL/+r8j/tPfz9/+v/zx7KWRfpc7b5W/06/5t2YzdDqdSJJk5qyoefT7/UiSZLyUcJZisXhuxtjkDLFJk+0qlcqVe3RNzixL0/TCZZdZ9AkAAACr9heliH/zk/na/u5PI/6ylG09LJYgbAFevnwZhUIhdnd3b9XP0dFR1Ov1uTeTn5799cMPP1zYbnIT/1Jpvlfo5B5mR0dHS+kTAAAAVu33voj4mz+Zr+3f/mnE/S8yLYcFE4TdUr/fj36/H2maxoMHD2J7ezsajcaNZjw9e/bs3CyvWaYDqOmlkqP6Jn399dfX7nv6XLLok8X4b/9n1RUAAABsvj//o6vb/Lw6XzvWiyDslqaXQyZJEq1WK2q1WmxtbZ3b1H6WUqk092ywiBhvVD9y0Z0oe73elW0uMt1u8hyy6JOrzRNy/VVHGAYAALAMfyYE20iCsFtIkuRcKDSt0+lEuVyORqORyfEnXbRR/uvXr888njdo+/LLL888fvPmTaZ9Mtv/+1XEf/gf87X99/894sOvMi0HAAAANpIg7BaKxWI0m804ODiIer0+c2ZUq9WKcrm80ONPBkn1ev3CNtNh2U1nb03eDTOLPpnt7/oR//yb+dr+068jfm6yHQAAAJzz+aoL2HTTAVSaptFqteLly5fnli72+/3Y2dmJbre7kGM3m83x55fdsXI6tLqpyXPJok9m+/tfXK/9P/xi9u17AQAAII/MCFuwQqEQe3t7MRgMot1un1s22Ov14vDw8NbHSZJkvMfWwcHBpbOybho2Tdd9enqaaZ/MNviXbNsDAABAHpgRlqFqtRqVSiWePn16ZmP4ly9fxt7e3q36Ht1dslgs3rqveWQxe2sRfb5//z4eP358635evHgRL168uHU/WXnwO4ttf28r4rc/u7oNAAAAjLx69SpevXp1637ev3+/gGpuRhCWsUKhEMfHx1Eul8dhWJqm0ev1Ltzcfh79fj9arVYUCoUrl1kWCoWFBE6Ts7my6POmPn78GO/evbt1Px8+fLh1H1n64z+M+F//d/72/+4PZ399ayviM0EXAAAA1/Dhw4eF/A6+SoKwJfn222/PbJbf7XZvHIQ9f/48IiK+//77Kzeqf/jw4UJCq4cPH2ba503du3cvvvrqq1v3c//+/Vv3kaW/KEX85/8534b5v/vTiL8sZV8TAAAA+XL//v149OjRrft5//59fPz4cQEVXZ8gbElKpVJUKpXo9XoRcfMN5xuNRvT7/Wi321EqXZ123HTW1XTQNT0jbNF93tRXX30Vb9++vXU/6+73voj4mz+J+KvO1W3/9k8j7n+ReUkAAADkzKK2FXr8+PHKZpbZLH+JdnZ2bvX8VqsVrVYrms1mVKvVuZ7z5MmTM4/nnck1vZH99vZ2pn1ytT//o6vb/Lw6XzsAAADII0HYEk0uY7zussBerxeNRiOazWbU6/W5nze5HDNi/ploJycnZx5PLuPMok8W48+EYAAAAHApQdgSTQZh11kW2O/3Y2dnJw4ODq4VgkWcn701b2g1OcurUCicqT2LPgEAAACyJghbojdv3ow/n3eZZJIk8fTp09jb24u9vb1rH7NUKp0J3V6/fj3X8yZrnQ6+sugTAAAAIGs2y1+iyaWB8ywLTJIkyuVy1Ov1ODg4mOsYSZJEp9M5E5rt7u5Gq9WKiE+zy+Yx2W5/f//c17PoEwAAALjcva2I3/7s6jZczoywJep0Pt3yb56ZXWmaxs7OTuzu7s4dgkVE1Gq1cyFbo9EYfz66a+Usk22KxeKFoV0WfQIAAACX29qK+Oze7I8tQdhMgrAl6XQ6kSRJFAqF+Oabb2a2TdM0yuVyFIvF2N/fjyRJrvzo9XrjTexLpdKZ/kql0pngaRTIXabdbo8/v2zmVhZ9AgAAAGRpazgcDlddxCbq9XpRq9UiTdOoVCpxcHBwLoAaGS1xTNM0jo+PL203Ui6X515uOO2yu0omSRLb29sR8SnEOj4+vvD5aZrGgwcPIuLT8s1ut3vpsbLoc16PHz+Od+/exaNHj+Lt27e37i8rw2HExyteYfe25kvsf/wY8flfz27z2599+gsAAAAAN7fI37/8LnfeKn+nz9G3ebHa7fb4Loij2ViTywVHRl97+PBhnJycZBqCRcSld5UsFovjWVn9fj8ODw8vbPf06dOI+HRXx8lZXMvq864xbRUAAADWhyDshmq12rl/a7Va8eDBg6jVatFoNKJcLsfOzk7U6/U4Pj6OYrF4ZZ9ZhGAj1Wo1ut1uFAqF2N/fHx8vTdNxYNfv96NUKsUvf/nLM3eGXGafAAAAAFlw18gbqlQqcXJyEgcHB9Hr9eL09HQ8Q2wU/HzzzTdRqVTmDn+WMVuqUqnEYDCIw8PDODo6iqdPn0aaplEoFOLJkyfRbrejWq2uvE8AAACARbNHGBtpU/YIWyTrygEAAJZjkfs9L7Kvu2KVv9ObEQYAAAAwYWsr4rMFBVOL7IvbM3cEAAAAgFwQhAEAAACQC4IwAAAAAHJBEAYAAABALgjCAAAAAMgFQRgAAAAAuSAIAwAAACAXBGEAAAAA5IIgDAAAAIBcEIQBAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIBUEYAAAAALkgCAMAAAAgFwRhAAAAAOTC56suAG7j/fv38fjx45ltXrx4ES9evFhSRQAAAJBfr169ilevXs1s8/79+yVVc54gjI328ePHePfu3cw2Hz58WFI1AAAAkG8fPny48vf0VRKEsdHu3bsXX3311cw29+/fX1I1AAAAkG/379+PR48ezWzz/v37+Pjx45IqOmtrOBwOV3JkuIXHjx/Hu3fv4tGjR/H27dtVl7MUP36M+PyvZ7f57c8iPrPzHwAAAGtslb/T+5UZAAAAgFwQhAEAAACQC4IwAAAAAHLBZvmwIe5tfdoD7Ko2AAAAwMUEYbAhtrYiPhN0AQAAwI1ZGgkAAABALgjCAAAAAMgFQRgAAAAAuSAIAwAAACAXBGEAAAAA5IIgDAAAAIBcEIQBAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIhc9XXQBAVl69ehUfPnyI+/fvx4sXL1ZdDiycMc5dZnxzlxnf3GXGN+tuazgcDlddBFzX48eP4927d/Ho0aN4+/btqsthTRkn3HXGOHeZ8c1dZnxzlxnfzGOV48TSSAAAAAByQRAGAAAAQC4IwgAAAADIBUEYAAAAALkgCAMAAAAgFwRhAAAAAOSCIAwAAACAXPh81QXAJnj16lV8+PAh7t+/Hy9evFh1ORGhpk21jt8jNc1nHWtaN+v4PVLTfNaxpnW0bt+ndasnQk2bbN2+T+tWT4SaNtk6fp/WraZ1qydTQ9hAjx49GkbE8NGjR3fyePNQ09XWrZ7hUE3zUtN81q2mdatnOFTTvNQ0n3Wrad3qGQ7VNC81XW3d6hkO1TQvNc1n3WrK0+/YlkYCAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIBXeNZKO9f/8+Hj9+PLPNixcv7v5dLwAAAGANvHr1Kl69ejWzzfv375dUzXmCMDbax48f4927dzPbfPjwYUnVAAAAQL59+PDhyt/TV0kQxka7d+9efPXVVzPb3L9/f0nVAAAAQL7dv38/Hj16NLPN+/fv4+PHj0uq6Kyt4XA4XMmR4RZ++tOfxm9+85u5grBFGL1Il3W8eahp8+qJUNO81DSfdatp3eqJUNO81DSfdatp3eqJUNO81LR59USoaV5qms+61bTsekbH+8lPfhK//vWvMz/eJEEYG+mzzz5bWXoMAAAA3N69e/fixx9/XOoxLY1kI33xxRfxq1/9Kj777LP4/d///VWXAwAAAMzpH//xH+PHH3+ML774YunHNiMMAAAAgFy4t+oCAAAAAGAZBGEAAAAA5IIgDAAAAIBcEIQBAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIBUEYAAAAALkgCAMAAAAgFwRhAAAAAOSCIAzYaIeHh7GzsxMPHjyIra2t2N7ejlqtFr1eL9Pj9vv9aDQasb29HVtbW+Nj7+/vR5qmmR6b/FjV+J6WJEns7OxEp9NZ6nHZTKsct+vymuHuWpcx5ucyWXBdTW4MATZQt9sdFgqFYUQMK5XKsNvtDk9OTobtdntYLBbH/z4YDBZ63MFgMKxWq8OImPnRbDYXelzyZVXje9r0eDeumWWV43ZdXjPcXesyxvxcJguuq8kbQRiwcbrd7viNsV6vX9imVCoNI2JYLBYX9qY9GAzGFwPzfFxWG8yyqvE9aTAYDPf29lyIMrdVjtt1eM1wt63DGPNzmay4riaPBGHARhkMBuO/WBWLxUvbnZycjN84K5XKQo5dqVSGETEslUrDdrs9PDk5Gf+17KKL04gYttvthRybfFjl+B45ODgYFovF8Xj3CxdXWeW4XYfXDHfbOowxP5fJiutq8koQBmyUyYvAqy7+Frl0oNlsDiNiuLe3d2mbk5OT8V/MRh+FQuFWxyVfVjW+R46Pj4fHx8fjx6Nx7xcuZlnluF31a4a7b9VjzM9lsuS6mrzaGg6HwwDYAEmSxPb29vjxYDCIQqFwaftOpxO1Wi0iIgqFQgwGgxsfe3t7O4rFYnS73WvVGBHR7XajUqnc+NjkwyrH92X6/X6Uy+Xx42azGfV6feHHYXOtctyu42uGu2Udx5ifyyyK62ryzF0jgY1xcHAw/rxSqcx8s46IqFar48/TNL3xnZX6/X4kSRLtdvvKtsVi8Uydo+fDVVY1vme5qgZY5bhdx9cMd8s6jjE/l1kU19XkmSAM2BitVmv8ealUmus5xWJx/PnR0dGNjnt0dBT1en3ui8/pv1L98MMPNzou+bKq8Q23scpx6zVD1owx7jLX1eSZIAzYCNN//fn666/net7kG/tN/3L17Nmzc3+NmveYEXFuSjdMW+X4hpta5bj1miFrxhh3metq8k4QBmyEXq935vHkX6RmmW53k+nUpVLpWksR0jSdWQNMW+X4hpta5bj1miFrxhh3metq8k4QBmyE169fn3k87xvol19+eebxmzdvFlXSpZIkOfPYhp5cZZPGN4ysctx6zZA1Y4y7bJPGt+tqsiAIAzbC9JvgTf9ydXJysrCaLjN5UeBOTsxjk8Y3jKxy3HrNkDVjjLtsk8a362qyIAgDNsL0G/ZNTU+vzkKz2Rx/vr+/n/nx2HybNL5hZJXj1muGrBlj3GWbNL5dV5MFQRiwEW76Rjs91fv09PT2xcyQJMl4v4SDgwP7GDCXTRnfMGmV49ZrhqwZY9xlmzK+XVeTFUEYkCtZ/+VqdBecYrEYe3t7mR4Lppl5wCZa5bj1miFrxhh3metqNpUgDNgI17m7zDL6uUi/349WqxWFQiG63W5mx+Hu2YTxDdNWOW69ZsiaMcZdtgnj23U1WRKEAbfWarVia2troR/lcvnMMR4+fLiQWhfVz0WeP38eERHff/+9qdt3iPENF1vluPWaIWvGGHfZJoxv19VkSRAGbISb/sVpesp2Vn+5ajQa0e/3o91uR6lUyuQY3F3rPr7hIqsct14zZM0Y4y5b9/Htupqsfb7qAoDNV6lUot1uL7TP6TfWJ0+ejDfLjPj0RjzPm+/0Jp7b29uLKO+MVqsVrVYrms1mVKvVhffPauV9fMNlVjluvWbImjHGXbbO49t1NcsgCANurVgsZj5leXopWZIkc/2F6OTk5MzjSqWy0Lp6vV40Go1oNptRr9cX2jfrIc/jG2ZZ5bj1miFrxhh32bqOb9fVLIulkcBGePLkyZnHSZLM9bzJKdyFQmGhgUa/34+dnZ04ODjwZs2trOP4hqusctx6zZA1Y4y7bB3Ht+tqlkkQBmyEUql0Zsr269ev53remzdvxp9Pv+nfRpIk8fTp09jb23M7Z25t3cY3zGOV49ZrhqwZY9xl6za+XVezbIIwYGPs7u6OP5/c12CWyXb7+/sLqSNJkiiXy1Gv1+Pg4GDu5xweHi7k+NxN6zK+4TpWOW69ZsiaMcZdti7j23U1qyAIAzZGo9EYf97r9a5sP9mmWCwuZB+DNE1jZ2cndnd3536zjoio1Wr2CWGmdRjfcF2rHLdeM2TNGOMuW4fx7bqaVRGEARujVCqdedPrdDoz20/e6e+qv1q1Wq3Y39+fuUdCmqZRLpejWCyO21710ev1xhuSuv0zs6x6fF9k+jbpMG2V4zbLY0OEn8vcbase366rWakhwAY5OTkZRsQwIoalUunSdoPBYNyuUqnM7LNSqYzbRsRwMBhc2K5UKp1pd52PZrN5m9MmJ1Y5vi/SbrfPPPfg4GDu55Ifqxy3WRwbJvm5zF3mupq8EoQBG2fyIvCyC8DRm2uhULjyAnOeN9fbvFn7mwPXsYrxfZHBYDAsFotnnjvrIpl8W+W4XfSxYZqfy9xlrqvJI6MI2EjdbndYKBSGETGsVqvD4+Pj4WAwGHa73fGba6lUmusXnlE/o49ut3vm69Vq9VZv1vV6PaPvAnfVMsf3pMFgMKxWq+f+mjv9UalUxnXByKrG7aKPDRfxc5m7zHU1eSMIAzbawcHBsFQqjd90C4XCsFKpDNvt9tx9dLvdYbFYHBYKheHe3l6G1cL1GN9solWO20UcG2bxc5m7zPgmL7aGw+EwAAAAAOCOc9dIAAAAAHJBEAYAAABALgjCAAAAAMgFQRgAAAAAuSAIAwAAACAXBGEAAAAA5IIgDAAAAIBcEIQBAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIBUEYAAAAALnw+aoLAAAAADZfv9+Po6OjSNM0ms3mqstZuLt+fnlhRhgAAABwI71eLxqNRmxvb0e5XI7Dw8NIkmTVZZ3x4MGD2Nrail6vd+3nrvv5pWkatVot+v3+So5/eHgY+/v7Kzn2TZkRBgAAAFzbzs5OnJ6eriyEmUev14s0TSMiolKpXOu5635+vV4varVa1Ov1KJVK43/f2trK/NjD4TAiIur1etRqtdje3o5utxvFYjHzY9+WGWEAAADAtXW73Tg+Po5ut7vqUi7VbrcjIqJarV77uet8foeHh7GzsxMHBwdxcHAw13MKhUIUi8Xxx0Umv14oFObqs9vtRqVSiXK5vLah4SRBGAAAAHBj151ptUzfffddREQ8e/bsxn2s2/mNliM2m82o1+tnvjaa/TZSr9fj+Pg4hsNhDAaDODk5GX9MziKL+HSek18fDAYxHA7j5OTkyrCt2WxuTBgmCAMAAADunH6/f+Nlkeuq1WrF/v5+7O3tnQvBprXb7Wg2m+cCr+sqFouxt7d3ZmbcdOA2Ol6pVIqnT59e+PV1IQgDAAAA7pzRnR0rlcpcy/zWXafTiUajEaVS6dIZWqenpxHx6Zxvshx0lkqlcmWg2G63I03TePr06UKPvUiCMAAAAODOGS2LrNVqK67k9tI0jefPn0dEzLUnWKPRyKSOUb+jwG1asViMer0e/X5/be8mKQgDAAAA7pTJZZG7u7urLWYBarVapGkapVJp5qysrJeCztPvKAA7PDyMXq+XSR23IQgDAAAA7pSjo6OIiCiVShu/LLLT6YwDpW+++WZm22KxGM1mM7NzLhQK0Ww24+HDhzNrGAVmWc1Muw1BGAAAADBTp9OJnZ2dePDgQWxtbUW5XI5GoxFJkqy6tAt1Op2ImP9uket8fi9fvhx/ftW+X4VC4cpN9G+rXq9fGbTt7OxERESSJNFqtTKt57oEYQAAAMCFkiSJ7e3tqNVqcXp6GgcHB9HtduPZs2fR6/Vie3s7Dg8PZ/bR6/XGAdNFH9vb25fuJzUZTk22v6rmUYB1VXC0iPMb2d/fv/Qcr/ool8sX9tnr9aLf70dE3Pruj8s0uYRynj3NlunzVRcAAAAArJ9+vz8OaA4ODmJvb2/8tUqlEnt7e9FoNK7cFL1SqcRgMIhGo3FudlC73Z4ZVnW73YiIePDgQaRpGnt7e1cGK6PZYMViMYrFYubnNzLan6tYLEaj0bj02K9fvz4Xrl12TqM7X45q2hSToV2SJNHpdBZ+F8ubEoQBAAAAZyRJMg6JqtXqmZBoUrPZjDdv3oxnLc3SbDbju+++GwdG15GmaRQKhblmF432B5sVvGRxfhGfliaenJzMbDO51DHi01LDy0KuUagXEfH111/PVcO6qFQq473Nut3u2gRhlkYCAAAAZ9RqtfHnV4VP11n6Nr3Z+2jG1yyjMGieva/SNB2HVrP2B1vW+U07PDw8E6qNNp+/yHT4Nmt22zqanBX23XffrbCSswRhAAAAwFin0zmzL9VVAcyTJ0/m7nt65lWr1bpyhtgoKJrnDoSjwKVQKFy6p1ZW53d6ejpzH68kSc4ts2y325e2H82mGtm0IOzLL78cf56m6VrceCBCEAYAAABMmFy6N0/4dNUdBKddFIZdJk3T6PV6V+73NTIKlnZ3dy9tk9X5HRwczNzHa3IWWsTsJZERn/YSu0kd62L6/2ve5aVZE4QBAAAAEfFp1tJkYJHFLKTp5YPTe2ZNGs3wmnfD+tEsqunQaSTL85vVV6vVOrck8qollzfZS22dTAd3p6enqylkiiAMAAAAiIjlLMcrFApn9vtK0/TMpvCT5pnhNTLqo1AoXDrTahXLDZMkOTfzrN1uXznDa12Co0VZl2BPEAYAAABERMTx8fGZx1kFRdMzvC6a8TVaFlmtVudaFji6W+Ss5YbLOr9J0yFYtVqdWePIZHC0acsiIyIePnx45vEPP/ywokrOEoQBAAAAERFL29C8WCyeCYOSJDk3W2u0d9g8+3hF/OuMsFl3i1z2hu2tVuvMeRUKhfj222+v3c+6zKa6CwRhAAAAQEScX46XZXA0vUfW9OOjo6OZyxwnTYZN1Wr10nbLPL80Tc/NdPv222/nnt21ibPAJk1/ryfvIrlKgjAAAADgQlnORCqVSlEqlcaPe73eOJgabWo/uZfYLKO9xGaFYBfJ8vxqtdqZ/qvV6rXqW8ayzWVal2BPEAYAAABExPl9nbJeSjh9B8nRDKrRMsd5l0WO7i45a1lkxPLOr9Pp3HpJ5HStm7Y8crredQn2BGEAAABARJwPK7rdbqbHq1arZ47Z6XQiTdNoNptRLBbnCk96vd44dLlqGeUyzi9N03j+/PmZf7vOksiRnZ2dM4837S6S0yHjkydPVlTJWYIwAAAAICLOhy+jmVZZmt5Hq1arRZIkF95J8iKjZZGVSuXKsGkZ5/f8+fNrL4k8PDwc3xxgZDrUW/ZG/7c1eZfIYrFoaSQAAACwXqbDlzRNx8sU53XdmUv1ev3MTK3RksLd3d25nj8Ks2q12pVtsz6/Xq93pr95l0R2u91zSyELhcKZ70vWs/MWPeNsMrib54YHyyIIAwAAACLiU/gyPXtpeobTtH6/f+bxTfaymr5jZLVanWsGUb/fHx9vnuAs6/ObDuPmWRKZpmn0er0Ll4FO1jq559giTJ/Hovcgm6x3npByWQRhAAAAwNj0DKY0TePp06cXBiVJkpwLOZIkuXZoM71X2Lyb5B8dHUXEpztQzrv0LqvzazQaZ/qoVCpz3SVytJ/YRUHY5M0EpgO520iS5NxSyyRJFhaGpWk67qtYLJoRBgAAAKynQqEw3ndrpN/vx4MHD6LRaESn04lWqxWNRiO2t7cvDDl2dnZia2tr7kAr4l9nPxUKhbmDk9EyxKvuFjkpi/Pr9Xrn9viq1WrR6/XOfYz639/fj+3t7fE5XBTkFQqF2NvbGz9exKywfr9/6QytWq22kMBtcu+1efd6W5at4XA4XHURAAAAwHrp9XpRq9VmzhKq1+vRbDZja2tr/G/FYjEajca5WV5XGYVPe3t755ZKXiRJktje3o6IiJOTk2sdK2Kx51cul28VIBUKhRgMBhd+LU3TePDgQUTE3N+bi1y3xmKxGCcnJ7c61m36yIogDAAAALjU4eFhHB0djZfOjWZsNRqN8Wyp7e3tqFar8ezZsyiVSjc6Tq1Wi06nE8fHx3P1cXh4GPv7+7cOW5Z1frcxCglnBWbrYjKgnPf/cpkEYQAAAMDKbW1tRalUiuPj47naj2Yd3WaW1CYZBYXNZjPq9fqqy7nUzs5O9Hq9tf1/EYQBAAAAKzWa8TRvyDO5XHAdZx1lZXt7O05PT+OXv/zl3DcHWKZerxc7OzvXCjSXTRAGAAAArNQo4Jl32d8mLRVcpNGyw2q1em7D/1VL0zT+4A/+IB4+fBjHx8drGdRFuGskAAAAsEKHh4eRJMm1lvuNQqDd3d2sylpLxWIxjo+Po9PpXOuOnFlL0zTK5fLah2ARZoQBAAAAS9BoNCJJkiiVSrGzsxNPnjyJ7777bjyza97lfpPLIrvd7nhD+zzp9/vx9OnT2N3djWazudJaRiFYsViMdru91iFYhCAMAAAAyNj+/n4cHh5e+vXrbADf6XSiVqvlblnktCRJolarxcOHD1cWQI0CuW+++Sb29vaWfvyb+HzVBQAAAAB3W5qml36tWq1ea1lkpVLJdQA2MlomeXh4GKenpysJwpIkie+//36jblZgRhgAAACQqX6/H+Vy+dy/r+Om79xtgjAAAAAgc0mSRLPZjCRJ4uHDh1Gr1XK5vxerJQgDAAAAIBfurboAAAAAAFgGQRgAAAAAuSAIAwAAACAXBGEAAAAA5IIgDAAAAIBcEIQBAAAAkAuCMAAAAAByQRAGAAAAQC4IwgAAAADIBUEYAAAAALkgCAMAAAAgFwRhAAAAAOSCIAwAAACAXBCEAQAAAJALgjAAAAAAckEQBgAAAEAuCMIAAAAAyAVBGAAAAAC5IAgDAAAAIBcEYQAAAADkgiAMAAAAgFwQhAEAAACQC4IwAAAAAHJBEAYAAABALgjCAAAAAMgFQRgAAAAAuSAIAwAAACAXBGEAAAAA5IIgDAAAAIBc+P/LFDhP9j+oywAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_x\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"x_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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"text/plain": [
|
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"<Figure size 1200x900 with 1 Axes>"
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|
]
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|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
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"source": [
|
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"bins = np.linspace(-1.0, 1.0, 51)\n",
|
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"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
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" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_x$\")\n",
|
|
"plt.ylabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_deltatx_dist.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 1200x900 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(-0.5, 0.5, 100)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_yEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_y$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"intercept= 5308.975458144673\n",
|
|
"coef= {'dSlope_xEndT_abs': 84.02382370039953, 'x_EndT_abs': 0.03552632399369171, 'ideal_state_770_tx^2': 68529.10928948055, 'ideal_state_770_tx dSlope_xEndT': 60538.43896560162, 'dSlope_xEndT^2': 13284.852569734045, 'x_EndT_abs^2': -0.0008174639168529617, 'ideal_state_770_ty^2': -2163.1533980289814, 'ideal_state_770_tx^2 x_EndT_abs': -15.687680488172175, 'ideal_state_770_tx dSlope_xEndT x_EndT_abs': -13.288664637206063, 'dSlope_xEndT^2 x_EndT_abs': -3.077894760025427, 'dSlope_xEndT_abs ideal_state_770_ty^2': 3221.0446732918413, 'x_EndT_abs^3': 1.8433768191744582e-07}\n",
|
|
"r2 score= 0.8143147645331705\n",
|
|
"RMSE = 36.0572267645116\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn.preprocessing import PolynomialFeatures\n",
|
|
"from sklearn.linear_model import LinearRegression, Lasso, Ridge, ElasticNet, LassoCV\n",
|
|
"from sklearn.model_selection import train_test_split\n",
|
|
"from sklearn.pipeline import Pipeline\n",
|
|
"from sklearn.metrics import mean_squared_error\n",
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"features = [\n",
|
|
" \"ideal_state_770_tx\",\n",
|
|
" \"dSlope_xEndT\",\n",
|
|
" \"dSlope_xEndT_abs\",\n",
|
|
" \"x_EndT_abs\",\n",
|
|
" \"ideal_state_770_ty\",\n",
|
|
"]\n",
|
|
"\n",
|
|
"target_feat = \"z_mag_xEndT\"\n",
|
|
"order = 3\n",
|
|
"\n",
|
|
"data = np.column_stack([ak.to_numpy(sel_array[feat]) for feat in features])\n",
|
|
"target = ak.to_numpy(sel_array[target_feat])\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(data,\n",
|
|
" target,\n",
|
|
" test_size=0.2,\n",
|
|
" random_state=42)\n",
|
|
"\n",
|
|
"poly = PolynomialFeatures(degree=order, include_bias=True)\n",
|
|
"X_train_model = poly.fit_transform(X_train)\n",
|
|
"X_test_model = poly.fit_transform(X_test)\n",
|
|
"\n",
|
|
"poly_features = poly.get_feature_names_out(input_features=features)\n",
|
|
"\n",
|
|
"# keep = [\n",
|
|
"# \"ideal_state_770_tx^2\",\n",
|
|
"# \"dSlope_xEndT^2\",\n",
|
|
"# \"dSlope_xEndT_abs\",\n",
|
|
"# \"x_EndT_abs\",\n",
|
|
"# ]\n",
|
|
"\n",
|
|
"keep = [\n",
|
|
" # \"ideal_state_770_tx\",\n",
|
|
" # \"dSlope_xEndT\",\n",
|
|
" # \"ideal_state_770_ty\", # no\n",
|
|
" # \"ideal_state_770_tx x_EndT_abs\", # maybe no\n",
|
|
" # \"ideal_state_770_tx ideal_state_770_ty\", # dont keep\n",
|
|
" # \"dSlope_xEndT_abs x_EndT_abs\", # dont keep\n",
|
|
" # \"ideal_state_770_tx^2 dSlope_xEndT_abs\", # dont keep\n",
|
|
" # \"ideal_state_770_tx dSlope_xEndT dSlope_xEndT_abs\", # dont keep\n",
|
|
" # \"dSlope_xEndT^2 dSlope_xEndT_abs\", # no\n",
|
|
" \"dSlope_xEndT_abs\", # keep\n",
|
|
" \"x_EndT_abs\", # keep\n",
|
|
" \"ideal_state_770_tx^2\", # do keep\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT\", # do keep\n",
|
|
" \"dSlope_xEndT^2\", # keep\n",
|
|
" \"x_EndT_abs^2\", # do keep\n",
|
|
" \"ideal_state_770_ty^2\", # keep\n",
|
|
" \"ideal_state_770_tx^2 x_EndT_abs\", # do keep\n",
|
|
" \"ideal_state_770_tx dSlope_xEndT x_EndT_abs\", # do keep\n",
|
|
" \"dSlope_xEndT^2 x_EndT_abs\", # do keep\n",
|
|
" \"dSlope_xEndT_abs ideal_state_770_ty^2\", # maybe keep\n",
|
|
" \"x_EndT_abs^3\", # do keep\n",
|
|
"]\n",
|
|
"\n",
|
|
"remove = [i for i, f in enumerate(poly_features) if f not in keep]\n",
|
|
"\n",
|
|
"X_train_model = np.delete(X_train_model, remove, axis=1)\n",
|
|
"X_test_model = np.delete(X_test_model, remove, axis=1)\n",
|
|
"poly_features = np.delete(poly_features, remove)\n",
|
|
"# print(poly_features)\n",
|
|
"\n",
|
|
"lin_reg = LinearRegression(fit_intercept=True)\n",
|
|
"# lin_reg = Lasso(alpha=0.00001)\n",
|
|
"# lin_reg = LassoCV()\n",
|
|
"# lin_reg = ElasticNet()\n",
|
|
"# lin_reg = Ridge(alpha=0)\n",
|
|
"lin_reg.fit(X_train_model, y_train)\n",
|
|
"y_pred_test = lin_reg.predict(X_test_model)\n",
|
|
"print(\"intercept=\", lin_reg.intercept_)\n",
|
|
"print(\"coef=\", dict(zip(poly_features, lin_reg.coef_)))\n",
|
|
"print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
|
|
"print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['x_EndT_abs^3']"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"koeffs = dict(zip(poly_features, lin_reg.coef_))\n",
|
|
"\n",
|
|
"remove = []\n",
|
|
"for itr in koeffs.items():\n",
|
|
" if abs(itr[1]) < 1e-4:\n",
|
|
" remove.append(itr[0])\n",
|
|
"remove"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['dSlope_xEndT_abs',\n",
|
|
" 'x_EndT_abs',\n",
|
|
" 'ideal_state_770_tx^2',\n",
|
|
" 'ideal_state_770_tx dSlope_xEndT',\n",
|
|
" 'dSlope_xEndT^2',\n",
|
|
" 'x_EndT_abs^2',\n",
|
|
" 'ideal_state_770_ty^2',\n",
|
|
" 'ideal_state_770_tx^2 x_EndT_abs',\n",
|
|
" 'ideal_state_770_tx dSlope_xEndT x_EndT_abs',\n",
|
|
" 'dSlope_xEndT^2 x_EndT_abs',\n",
|
|
" 'dSlope_xEndT_abs ideal_state_770_ty^2',\n",
|
|
" 'x_EndT_abs^3']"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"ls_koeffs = []\n",
|
|
"for itr in koeffs.items():\n",
|
|
" ls_koeffs.append(itr[0])\n",
|
|
"ls_koeffs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 1200x900 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
|
"source": [
|
|
"bins = np.linspace(5150, 5700, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=y_test,\n",
|
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" y=y_test - y_pred_test,\n",
|
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" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
" label=\"bla\",\n",
|
|
")\n",
|
|
"ax.set_ylim(-150, 175)\n",
|
|
"ax2 = ax.twinx()\n",
|
|
"ax2.hist(\n",
|
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" y_test,\n",
|
|
" bins=50,\n",
|
|
" range=[5150, 5700],\n",
|
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" color=\"#2A9D8F\",\n",
|
|
" alpha=0.5,\n",
|
|
" align=\"mid\",\n",
|
|
" density=True,\n",
|
|
")\n",
|
|
"ax.set_xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
|
"ax.set_ylabel(\n",
|
|
" r\"$\\left\\langle z_{\\mathrm{Mag}}-z_{\\mathrm{Mag}}^{\\mathrm{pred}}\\right\\rangle$ [mm]\"\n",
|
|
")\n",
|
|
"ax2.set_ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_regression_plot.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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|
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"text/plain": [
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"<Figure size 1200x900 with 2 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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}
|
|
],
|
|
"source": [
|
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"bins = np.linspace(5150, 5700, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]) -\n",
|
|
" ak.to_numpy(sel_array[\"match_zmag\"]),\n",
|
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" x_bins=bins,\n",
|
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" fit_reg=None,\n",
|
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" x_estimator=np.mean,\n",
|
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" label=\"bla\",\n",
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")\n",
|
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"ax.set_ylim(-150, 175)\n",
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"ax2 = ax.twinx()\n",
|
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"ax2.hist(\n",
|
|
" ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
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" bins=50,\n",
|
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" range=[5150, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" alpha=0.5,\n",
|
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" align=\"mid\",\n",
|
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" density=True,\n",
|
|
")\n",
|
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"ax.set_xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
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"ax.set_ylabel(\n",
|
|
" r\"$\\left\\langle z_{\\mathrm{Mag}}-z_{\\mathrm{Mag}}^{\\mathrm{old}}\\right\\rangle$ [mm]\"\n",
|
|
")\n",
|
|
"ax2.set_ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"plt.show()\n",
|
|
"# plt.savefig(\n",
|
|
"# \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_old_regression_plot.pdf\",\n",
|
|
"# format=\"PDF\",\n",
|
|
"# )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"plt.hist(\n",
|
|
" ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" bins=50,\n",
|
|
" range=[5150, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" alpha=0.5,\n",
|
|
" align=\"mid\",\n",
|
|
" density=True,\n",
|
|
" label=\"True\",\n",
|
|
")\n",
|
|
"plt.hist(\n",
|
|
" ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" bins=50,\n",
|
|
" range=[5150, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" alpha=0.5,\n",
|
|
" align=\"mid\",\n",
|
|
" density=True,\n",
|
|
" label=\"True\",\n",
|
|
")\n",
|
|
"plt.xlabel(r\"$z_{\\mathrm{Mag}}$ [mm]\")\n",
|
|
"plt.ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"# plt.show()\n",
|
|
"plt.savefig(\n",
|
|
" \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_old_new.pdf\",\n",
|
|
" format=\"PDF\",\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 330,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 1200x900 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"xlim = 1\n",
|
|
"bins = np.linspace(-xlim, xlim, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_xEndT\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"ax2 = ax.twinx()\n",
|
|
"ax2.hist(\n",
|
|
" ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
|
" bins=bins,\n",
|
|
" color=\"#FB8F67\",\n",
|
|
" alpha=0.5,\n",
|
|
" align=\"mid\",\n",
|
|
" density=True,\n",
|
|
" range=[-xlim, xlim],\n",
|
|
")\n",
|
|
"ax.set_xlabel(r\"$\\Delta t_x$\")\n",
|
|
"ax.set_ylabel(r\"$\\left\\langle z_{\\mathrm{Mag}}\\right\\rangle$ [mm]\")\n",
|
|
"ax2.set_ylabel(f\"Number of Tracks (normalised)\", labelpad=15.0)\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"# plt.show()\n",
|
|
"plt.savefig(\n",
|
|
" \"/work/cetin/LHCb/reco_tuner/parameterisations/plots/magnet_kink_zmag_deltatx_dist.pdf\",\n",
|
|
" format=\"PDF\",\n",
|
|
")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"fig = plt.figure()\n",
|
|
"plt.hist(\n",
|
|
" sel_array[\"z_mag_corr\"],\n",
|
|
" bins=100,\n",
|
|
" # range=[5100, 5700],\n",
|
|
" color=\"#2A9D8F\",\n",
|
|
" density=True,\n",
|
|
")\n",
|
|
"plt.xlabel(r\"z$_{Mag}$ correction [mm]\")\n",
|
|
"plt.ylabel(\"Number of Tracks (normalised)\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.4, 0.4, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_tx\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(5100, 5700)\n",
|
|
"plt.xlabel(\"dx/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-0.25, 0.25, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_9410_ty\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"# plt.ylim(4500, 5700)\n",
|
|
"\n",
|
|
"plt.xlabel(\"dy/dz(T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-300, 300, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"ideal_state_770_x\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"x_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"x (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"y_EndVelo_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"y (VELO)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(0, 500, 50)\n",
|
|
"sns.regplot(\n",
|
|
" # x=ak.to_numpy(sel_array[\"ideal_state_770_y\"]),\n",
|
|
" x=ak.to_numpy(sel_array[\"y_EndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"y (T)\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-1.0, 1.0, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_xEndT\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_x$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-1.0, 1.0, 50)\n",
|
|
"sns.regplot(\n",
|
|
" x=ak.to_numpy(sel_array[\"dSlope_yEndT_abs\"]),\n",
|
|
" y=ak.to_numpy(sel_array[\"z_mag_corr\"]),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
")\n",
|
|
"plt.xlabel(\"$\\Delta t_y$\")\n",
|
|
"plt.ylabel(\"$z_{Mag}$ correction [mm]\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"features = [\n",
|
|
" # # \"ideal_state_770_tx\",\n",
|
|
" # \"ideal_state_770_ty\",\n",
|
|
" # \"ideal_state_9410_ty\",\n",
|
|
" # # \"dSlope_yEndT\",\n",
|
|
" # # \"dSlope_yEndT_abs\",\n",
|
|
" # # \"ideal_state_770_x\",\n",
|
|
" # # \"ideal_state_9410_x\",\n",
|
|
" # # \"x_EndVelo_abs\",\n",
|
|
" # \"y_EndVelo_abs\",\n",
|
|
" # # \"y_EndT_abs\",\n",
|
|
" # \"dSlope_xEndT\",\n",
|
|
" # \"dSlope_xEndT_abs\",\n",
|
|
" # \"x_EndT_abs\",\n",
|
|
" \"ideal_state_770_tx\",\n",
|
|
" \"ideal_state_770_ty\",\n",
|
|
" \"ideal_state_9410_ty\",\n",
|
|
" \"ideal_state_9410_tx\",\n",
|
|
" \"dSlope_xEndT\",\n",
|
|
" \"dSlope_xEndT_abs\",\n",
|
|
" \"x_EndT_abs\",\n",
|
|
" \"ideal_state_770_x\",\n",
|
|
" \"x_EndVelo_abs\",\n",
|
|
"]\n",
|
|
"\n",
|
|
"target_feat = \"z_mag_corr\"\n",
|
|
"order = 4\n",
|
|
"\n",
|
|
"data = np.column_stack([ak.to_numpy(sel_array[feat]) for feat in features])\n",
|
|
"target = ak.to_numpy(sel_array[target_feat])\n",
|
|
"X_train, X_test, y_train, y_test = train_test_split(\n",
|
|
" data, target, test_size=0.1, random_state=42\n",
|
|
")\n",
|
|
"\n",
|
|
"poly = PolynomialFeatures(degree=order, include_bias=True)\n",
|
|
"X_train_model = poly.fit_transform(X_train)\n",
|
|
"X_test_model = poly.fit_transform(X_test)\n",
|
|
"\n",
|
|
"poly_features = poly.get_feature_names_out(input_features=features)\n",
|
|
"\n",
|
|
"# keep = [\n",
|
|
"# \"ideal_state_770_tx^2\",\n",
|
|
"# \"ideal_state_770_x\",\n",
|
|
"# # \"x_EndVelo_abs\",\n",
|
|
"# \"dSlope_xEndT^2\",\n",
|
|
"# \"dSlope_xEndT_abs\",\n",
|
|
"# \"x_EndT_abs\",\n",
|
|
"# ]\n",
|
|
"# remove = [i for i, f in enumerate(poly_features) if f not in keep]\n",
|
|
"# remove_term = [\n",
|
|
"# \"ideal_state_770_x^2 ideal_state_9410_x\",\n",
|
|
"# ]\n",
|
|
"# remove = [i for i, f in enumerate(poly_features) if f in remove_term]\n",
|
|
"\n",
|
|
"# X_train_model = np.delete(X_train_model, remove, axis=1)\n",
|
|
"# X_test_model = np.delete(X_test_model, remove, axis=1)\n",
|
|
"# poly_features = np.delete(poly_features, remove)\n",
|
|
"# print(poly_features)\n",
|
|
"\n",
|
|
"# lin_reg = LinearRegression()\n",
|
|
"lin_reg = Lasso(alpha=0.1, max_iter=2000)\n",
|
|
"# lin_reg = LassoCV()\n",
|
|
"# lin_reg = ElasticNet(alpha=1)\n",
|
|
"# lin_reg = Ridge(alpha=1)\n",
|
|
"lin_reg.fit(X_train_model, y_train)\n",
|
|
"y_pred_test = lin_reg.predict(X_test_model)\n",
|
|
"print(\"intercept=\", lin_reg.intercept_)\n",
|
|
"print(\"coef=\", dict(zip(poly_features, lin_reg.coef_)))\n",
|
|
"print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
|
|
"print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"bins = np.linspace(-200, 200, 50)\n",
|
|
"ax = sns.regplot(\n",
|
|
" x=y_test,\n",
|
|
" y=abs(y_test - y_pred_test),\n",
|
|
" x_bins=bins,\n",
|
|
" fit_reg=None,\n",
|
|
" x_estimator=np.mean,\n",
|
|
" label=\"bla\",\n",
|
|
")\n",
|
|
"ax2 = ax.twinx()\n",
|
|
"ax2.hist(y_test, bins=30, range=[-200, 200], color=\"#2A9D8F\", alpha=0.8, align=\"left\")\n",
|
|
"ax.set_xlabel(r\"z$_{Mag}$ correction [mm]\")\n",
|
|
"ax.set_ylabel(\"Mean Deviation [mm]\")\n",
|
|
"ax2.set_ylabel(\"Number of Tracks\")\n",
|
|
"mplhep.lhcb.text(\"Simulation\", loc=0)\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3.10.6",
|
|
"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": "3.10.12"
|
|
},
|
|
"orig_nbformat": 4,
|
|
"vscode": {
|
|
"interpreter": {
|
|
"hash": "a2eff8b4da8b8eebf5ee2e5f811f31a557e0a202b4d2f04f849b065340a6eda6"
|
|
}
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|