documents/tutorials/optimize_spectrum.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting a spectrum model using Gradient Descent Based Optimization."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"last update: Jan 22nd (2024) Hajime Kawahara\n",
"\n",
"The ability of the gradient-based optimizations is s one of the major advantages of ExoJAX. Here we demonstrate how to optimize the model using jaxopt package."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import jax.numpy as jnp"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/tmp/ipykernel_142838/3697569592.py:1: DeprecationWarning: Accessing jax.config via the jax.config submodule is deprecated.\n",
" from jax import config\n"
]
}
],
"source": [
"from jax import config\n",
"\n",
"config.update(\"jax_enable_x64\", True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we use a mock CH4 spectrum precomputed by ExoJAX. Also, we normalize it and add some noise."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pkg_resources\n",
"from exojax.spec.unitconvert import nu2wav\n",
"from exojax.test.data import SAMPLE_SPECTRA_CH4_NEW\n",
"\n",
"# loading the data\n",
"filename = pkg_resources.resource_filename(\n",
" 'exojax', 'data/testdata/' + SAMPLE_SPECTRA_CH4_NEW)\n",
"dat = pd.read_csv(filename, delimiter=\",\", names=(\"wavenumber\", \"flux\"))\n",
"nusd = dat['wavenumber'].values\n",
"flux = dat['flux'].values\n",
"wavd = nu2wav(nusd)\n",
"\n",
"sigmain = 0.05\n",
"norm = 20000\n",
"nflux = flux / norm + np.random.normal(0, sigmain, len(wavd))\n",
"\n",
"\n",
"plt.plot(wavd[::-1],nflux,alpha=0.5,color=\"gray\")\n",
"plt.plot(wavd[::-1],flux/norm,alpha=1,color=\"gray\")\n",
"\n",
"plt.xlabel(\"wavelength $\\AA$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let’s make a model, which should be include CH4, CIA (H2-H2), spin rotation, and response… So, import everthing we need. We use PreMODIT as `opa`."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/exojax/src/exojax/spec/dtau_mmwl.py:14: FutureWarning: dtau_mmwl might be removed in future.\n",
" warnings.warn(\"dtau_mmwl might be removed in future.\", FutureWarning)\n"
]
}
],
"source": [
"from exojax.utils.grids import wavenumber_grid\n",
"from exojax.spec.atmrt import ArtEmisPure\n",
"from exojax.spec.api import MdbExomol\n",
"from exojax.spec.opacalc import OpaPremodit\n",
"from exojax.spec.contdb import CdbCIA\n",
"from exojax.spec.opacont import OpaCIA\n",
"from exojax.spec.specop import SopRotation\n",
"from exojax.spec.specop import SopInstProfile\n",
"from exojax.utils.instfunc import resolution_to_gaussian_std"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again recall this figure."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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t5n3Lc87zytez1VhRN7ftHZrHOQUwTvW8ITktgOMgEAcAAAAunOqHbJLnEaeh2vtjORQk9vWqsK8P+apwtgoCx8r7cYZCyWqssPU3Z77NXCdfj/rtejWPXN4cC6PnWM17aA/Cvm5Y1Wvmev1c+/VU+1XNr6/THAqdw2rvDjles+qzr9eX5zGH9j637+tWaxvq55wCGKd63pCcFsBxEIgDAAAAF071QzbJ84jTUO39sazCuzDXqULJOUFjVa+qk8v7sYaCxKqfuNbKq3Xl8mYerx+r76Nfy9wxlljt9dAeVHX7OWb7+lWdXF6NW43Z12n29abuTzX3JeNVj4mpe1bdr76fal65vJnLl8z7XAIYp3rekJwWwHEQiAMAAAAXTvVDNsnziNNQ7f2xrILJygj4wrHAd04gOVWnLwtz++ZUP9W6Yv65j75Otbax8mqMqo8lVkFqNe++3tS41Vyren2daJfLq/nl8mxfL6+jun/VGpaMV/U5Nf9qzL6fPO9mLq/qVPPu53JuAYxTPW9ITgvgOAjEAQAAgAun+iGb5HnEaaj2/lhWQWlY1Z1yTiAZ5rCwlVdtm337ofp5rGpdU6FlFY7m8jCXVWNUfSyxClKnrPrprfqdU69fz9x+wrw/0a5dG1pjtXdLxtvnMVGNWdXr6/TlbX3Nat55LmsQwDjV84bktACOg0AcAAAAuHCqH7JJnkechmrvj2UV/oVV3SmnAsnKPH58PTcA3Sf8nBNaTpnbV2NUAesSqzm1eVdrzuVj9v0OtanGX1I+Zmsb/527d0vG2+cxkcvH6vVz68tjnrm8mnc11jkFME71vCE5LYDjIBAHAMziv/y//KPS/9d//7+8VAMAsFaqH7JJnkechmrvj2UV/oVV3SmnAsneHBq2wHFuALpP+NmHln15H3pOWY2xtI/eav153lV5OLbPYV+/34tm1f+S8sp+n6prYbV3S8abekxMlTfnzK0v7/ezmnc11jkFME71vCE5LYDjIBAHFvKTP/OLZShYGUFhM9oBW6Z6jIcCcQBYP9UP2STPI05DtffHsgr/wqrulPsGjjlMnBuATo1VrasPLafKp6zG6IPTpVbrn5p3M9fp7esOrbUaf0l5b1+/3aO5e7dkvKnHxL6Pz7CfW1/e72c172qscwpgnOp5Q3JaAMdBIA4sZEkgXikcx1apHs+hQBwA1k/1QzbJ84jTUO39sazCv7CqO+XcwHGsztwAdGqsal19aNmXh7l8ymqMPjhdarX+ft7VuFW97Ny61fhLyrP9Pcpjzt27m4wX5sfEVHlzztz68n4/q3lXY51TAONUzxuS0wI4DgJxYCE3DcSbQkRsjepxHHosA8D6qX7IJnkecRqqvT+WVfgXVnWnnBM4VnVy+dwAdGqsal2HDi2rMfrgdKnVnPp5D9Ubqhv2+zVUL9ep6lXj5vJsXy/vzdy9WzLe1GMinCoP9+lnzj5VY51TAONUzxuS0wI4DgJxYCGHCsRDQSK2RPUYDj2OAWD9VD9kkzyPOA3V3h/LKpgMq7pT7hMkhrl8bgA6NVa1rj60rPqIa7lOti+rxhhrP8dq/f28x+qG/Z6H1Vz7OmFfp1/PTe5P7mvu3s0dL6zG7Pei768as+qnr9OX9/eomnd1X84pgHGq5w3JaQEcB4E4sJBDBuKhX5+OrVA9fkOBOACsn+qHbJLnEaeh2vtjWQWTYVV3yjmBZF8etrIlc5kaq+qrDy3Dvk7YzzmM8frr1Rg5YM1fz7UKUqt5h9X4zap+33dVJ5dX41bza2X92vt6ubzqp9qvueO17/u6U/esGrPvp+8jzOVhv1fVvKt+zimAcarnDclpARwHgTiwkEMH4iGwBarHbigQB4D1U/2QTfI84jRUe38sh0LVqu6UcwLJKihsYWLUHQtAs1NjVevqQ8uhemHuK8aa27bVi//mPuZarb8au1ntw1Cbfr79/OYEwdX8ol6Yx+zHynWjvJp3XGvtm3PHC6s+23jZ3GffR5jbV+V9napeHqNZzeWcAhinet6QnBbAcRCIAwsZC8T/8l13vFTrZaJ+BIZV/aZPiWMLVI/dUCAOAOun+iGb5HnEaaj2/lhWwV0Y15cGeFVffVA4FOC2MHSovJ/L1FhRf6w8OzRmc6hdONR2rM2Q1ZybbX8qq70Iqzn0Y7R9Hbpemetl+zZVnZhTqzdUnvsYqhf241X7UPXX1811hq5n+71q5vnkfqryNQhgnOp5Q3JaAMdBIA4sZGkg3hgLxQWK2ALVYzf0+AWA9VP9kL0m26F3VTbkWPiytgPzYzi2/rHQh+cXp6Ha+0M69hysnHpdmtNf7iPXj6/7/vswsS/PZZVVGJmt1hPX+nVEP3Gtr9ub281tk81jThn9L+2jWm/Msd+nuXOP/nLbaDO0p61e1XeUtz5anVye642NF9/nfirH5pf7DofWE06N1ffVO7TGcwhgnOp5Q3JaAMdBIA4sZN9APKjahAJFbIHqsRt6/J6Xrz5xR/nmmSS3ZDvkHjo8HzLq50PyffvZslVw0AcmJEmSJEnyco0zYowjEAcWcpNAfOxT4vvQfh171W+UVfPp6zWHQs2qbpjpx4+x53KKNQTRV9Um7MeI76v60f/ctR2ij7m0sao9jGv7jlnNf45Lx2pzH5p/lFePgzkMrSHPMfrOZTHm2HhtvrlNa5f7PRXVGyCS3JL5k2L7BLlVIHxNgXj1PwUIxEmSJLl1+/e4vVPv+as2zUO/X87vydf0myyuyXx/e6v6+1j1HbrnXIsYRyAOLGQoYAunQrsqRGsuYWwOlTmkq8rDmFtFVTcM+iCxOdRX5pRrCObct6H1VA6NdYg+5rJkrGaMmfdyjKX3qDm3/5hL1X7M6LvdrzkMraHNcWgO1RhL9nvuHhyC6s0PSW7JPtCu6owpEBeIkyRJ8jKN97rV+/3mnPf9uX3UP/TPCtX7cQHpeazuRVjV3dfq8eh+cy1iHIE4sJChgC2cCuqqNs257BMiNscCvaFwtqobjvU1FQaeeg3B1H3bZ079eIfoYw77zjcb7aOfMcb2bMyp+79vv9mpMRpDY8X1sT3sOdW93YfqzQ9JbsXqwGJpmFsdSBz6kGvNHmIPSZIkyTVbvecP5waRUfdY75EF4uuyeqxU9W5i37/7zbWIcQTiwELGwryxgHGs3ZxwbywIPoRD4V1VN1wSJjbOtYZgbP9vYhtzbD+mHJt3z6H3cN/H7Jhjj+eb7FPvnH0bWsPYPPr53/Sxc2yqNz8kuRWHDraqukNWfQjEBeIkSZK8HId+bgjnhJFR75g/I/Rz8n78fFaPlareTez7n/MYJE8hxhGIAwsZC8eqcDGuTQVqY6Fk45BBYuVQuFjVHXMspDzXGoKbhppjHmJdfQhbcegwvDn0+Nt3z4bWcoz7P3bPg33WkPfjEHs+NcebUr35Icmt2B8kNJccVgnEBeIkSZK8bOM9f/W+vzn1/jfqHPNnhOi7zc978fNaPU6qejex7z/GrOqRpxbjCMSBhRwjWJ3iGEFi71BoV9Ud85RhaO9Y8HiM+3ZI54SmVbtDWbHvnlWPgWPu/9BjLthn3Mwh5j3nf3i5CdWbH5LcgnFQNHSoteRAoeqjHXb1ZUOHU3E912vmeVTlYd/nVF/5sKw553Cu7zf6iHZhvh4OrbMZbap5Rp9DbY+1rmou0U/rd8yhtnPGJUmS5HaM93jxvm/oPWk49h5wqpyXY/8zSVjVu4l9/3N+diFPIcYRiAMLOXSwNxWWzfmEaoSpfSgY7ZZ8unXfQDy3G1rLudcQzL1vUS+vI76Pfqu6Q0b9fi/m9DHGnPn3c2/MWcPY3jWqduFN2jajj5hnT6xnztqrdQdL2/b9jLXPdYf2eGheh6R680OSWzAODsYOteYeWFUHHmMHZWHVd1zr6/UHG0Nj5TrhUF9V++bYenO7PKf4ulprNacwxmh95Tp9H3mM7KHXlcdt9fq+htpPtR0blyRJktsy3ue196/7vPccK+NlWT0+qno3se8/xqzqkacW4wjEgYXMCdjmOidIrEK2bMxnigjlqrbZoblUdZtz5h+cew3BnPs2Fl5OraE51sfUHIaYWvvYmJmb9lO1CaceB2N7N9U2s08/U3s+teahMYfGy/Xn3pebUr35Icm128LM9n1/oBC2A68phw7EWvs4+OrrDB1Y5DpVvRzCNofm2dcLW38xp6Gy3n7ufXkua86ZU38g2I8zNJ9cp6+7ZF15L/N8qz3O7fo6/VrzOhx6kiRJXobxHi+/78vv+bJD7z2jbOq9YZT370Wjv6E+w1w3O9Qm+s9zj+/bvMbGCfu2rX1Vd8p+nc08h/h6aK65n35Oc96D77PX2Wjfj9v2or8e9u2zQ3MZW0eu2+pX9chTi3EE4sBC5gSrc5wTAgdV2+aSwG0qDB0K+Kq6za2sIZi6b3PWUrXL3rSPob0Ym/uS/QvG9nBs/4KqTXisdhXRpuorrPZi6r5PMdZ+iJjj0vtyE6o3PyS5duPAIB8a9AcQzdxmyOrAox2GNOMwY6pO2NfpDzaqeVb9hH29MJdX887lYT/vaqy5c6rq5fJ+Pv3am7lOM5fvs67+sCmXhblsqm0ef2gNJEmS3Jbxvq5/j5vfE2ar94BxvX/fmM3vlXP7Oe8tc52xuq1eLuvf2+b6uU7fNrerxppjP3brq7qejfJo3+ZU2epU3mSvw35+baz4b7Sr5tX30cxzqdY1tI5W3hybL3lKMY5AHFjIVMA25ZKwbGysQ4eJQ/1VdZtzWMMagpsGo8HY2OEcxvoYelxUdcNY0z6M7cUYVf1w333fl6qvsNqPsfHn7N9Y+3BOH8emevNDkms3Dg3y9/2hRnPoACJbHXhU7fo64VSd/mCjCpX7g7lmX6/va868+/JqrGrvqnrV3PN4fVmY2w/V22dd/VzGyvu19P3nsrDvuy8nSZLk9oz3gP37wup9cLOvG9f695zNqfeP+f1n/963mdtX9fIY/TzyOvL1Zivry3O7oXlNmfvOtv2r9rjtRxuzqhPmcZo33et+rP4+9/03c52qbt9PnkeMmcvCVtas5kqeQ4wjEAcWMhWQ9UZYGG3CpZ8aHQtP9yHGr/oKh0LNqm5zDmtYQzB23+aGmmN9jI2dGeujenyMrfcYjlHVD8fWPnb/D211Hw9x3+esYe79PwbVmx+SXLNxWFAdGPSHCs2+Xm8+rGhWhxZVvb5OX97Pszpg6Q9Pmn29vq+peVcHS9VYc+uFecw2VrWmZt8+7OssXVfYl+eyMau19nX69QztBUmSJLdjvMec+164md+D9t83+/bVGP37y6qfXB6OvUfuy8I2j/76WLt+7tW8pszth/qp6vRz6fco7Pvp57vPXuf9CHNZM5cP1evnMjZOv9Ywtx2qQ55DjCMQBxayNNC8CUNB3E3Ct6q/cKjPqm44dw5rWENwiGD0HH2cOhAfW0dVPxzb96H7fyx7xvZ77vN1yT24yeN6X6o3PyS5ZuPAYM7hR7M/nOjtD0WG2sw5pOnL+4ONqo9qLWFfr+9rat7xdV9ejTW3Xm9uF19X86na9XUOsa7cfsyq7ZRz9oIkSZLrNt5jDr2vq95/Ntv70Pz1WNtqjLiW6/Tvf8NcXtWp5tjPp2/Tv/et5jZVPmVuH1Zrq+be1+n3KKzWl8uX7nU1Rm7bnDPfvk5f3o/Vl+eyMM+TPKcYRyAOLOQQAdtcqjHCm4RuQwHlUJ9V3XDuHKq24SnXEBzivo31MRYkZ8bC1aqPsTGP4dg6qvrh2L5X9Y9pz9j+LXm+LgnFw7mPh0NQvfkhybUaBwtjhwX9wUJYHZRkqwOP6rCrOkDp6/Xl/VyrPobm19fr+5qa99yx+oOyoXrZPHarW82nbxf2dQ6xrtx+zJu0JUmS5HaN95hj73Gr96Bhe68aX/fv/ee+j67q9XX68jnvkcMla6rq5vKwL5+yb9/PO6zm3tep3qfn/T7EXs+Zx5x6c+5nv55+rrksrPaNPIcYRyAOLORQAdscqjHCU4bJVd1w7hyqtuEp1xAc4r4doo+xYLUKUcfGPIbVHBpV/XBs36v6x7TnEPcsM/TYq7zJY3wJ1ZsfklyrcVBQHXw0q4OUsKrbrA488uFLs+q7r9eX9wcbVR9D6+nr9X1NzXvuWNWBztCc+rp5TtV8cttmX+dY66qs2vb3kCRJkpdnvMeces9YvQ8N2/X+fWP1Prp6b1nV6+fSl/fvkav3sdlq3KH1jNn3MWXfvp93WM2jrzP1Pv0Qez1nHnPqVWNMufR+k+cS4wjEgYUcOmAboxojvEnQNhToDfVZ1Q3nzqFqG55yDcEh7tsh+hCIH9eeQ9yznuhz6DHYe5PH+VyqNz8kuUanDoHG7A8gstWBR3W4Uo3f1+nL+4ONqo+hufX1+r6m5j13rLFDo96+Xh6vmk9u2+zrHGtdlTdpS5Ikye0a7zGn3vdV74uz+T1pWL237OuEVb/9XPry/j1yWL1PzvZj9+XHeN/bjzF33n2dqb08xF7318O+fTg132ouuXyOfftq38hziHEE4sBCjhGwDVGN0dyXqq9wKLir6oZzg76qbXNfqr7CsTkd4r4doo9DBuKnpppDOLbvVf2wWusxOMQ9GyL6jrVXfWePvdbqzQ9JrtE4JJhzUNAfLjSrumF14FEdrvT1qrnk8qpOdXjSDmh6+3p9X1PzHjsMys6tN3XwU80nlzf7OkvXFfblfR9DVmud25YkSZLbNd7zDb3vzlbvF5v9e9Lq/XFfJ6z67OfSlw+9R63eK2fz+H3ZMd73zhmjmnNfZ2ovD7HX/fWwbx9OzXfuXMbs2x/j3pD7iHEE4sBCjhmw9YyFbfuMNTb3oVCzqhuOhaCZNawhOMR9O0QfUa9qH0b/PUvrH5NqDuHYvo/d/1NwiHs2RYwxts6x/TkE1Zsfklyb7WBjzkFDdQgy1rY68Kjq9vX6Q6wwl4f9wUZ1eFL1E/b1+r7mzLsv7/sIq/2as7Ywl1fzyeXNvs4+65pTZ8i+XVjVC6PPuf2SJElyvcb7x6H33b3Ve82wf19Yvbev3jvGtb5eP5e+vH+PnK3GbeZ+q/LczyHs+6/mXe1nX2dqLw+x1/31sG8fTs23mkve9zn27cfuN3lKMY5AHFjIKQK2xthY+4Rs+4R2Vd1w7vhrWENwiPt2iD72CbiruuE++3cTqjmEx973m3DK8ccem8ekevNDkmszDgiWHBL0BwxjhwzVgUd1uJLL5/bV16vGGjo86evN6aufd1Unlw/VqebU1wlbWXXwlMuzfZ191lUdQvX9NKNtXs+StkPXyUNYPRbnGo/NaF+9Vp3SsTXk5102v14c4zmW55CdO9aS+zK0/1Xd5tC+jFn1E671NSrm1eZ47scoSTbbv51VWWV+LRt7TZtTp/q3pa/Xl0+9xrqlawoAAMgKSURBVEf7ao5hqzN3DTex77+adzWPvs4+e7R0r+fMY0696K8vr9Y95k3bk8cS4wjEgYWcMmAbC0/DJeONzTscCjWruuHcMHYNawgOcd8O0cfYfkT/FWNB69z70Ijxh8aZoho/HJvD2HrDufvWiLkvaXOIe9aIdU61qcYJl461hOrND0muyXaoseQAqzoICatDk+rAo6/XH3pU/YRLD2DCoXX19fpDkjnzDvs6uZ+hOfVjDdVt9WLcqrzvI+zr9GNV/VTrGppPrht72/cfDrVt5W091bjkoR16/oT5MRhfV68xa3isVvOvXttinn29/Nw7lNV8lowzdk/m9tP3EV/f5D5V85k7l1NazXPOuqNedZ0kD2W8Pg297x6yf02rXs/6OtUY1b/ffZ2+vH+N77/P1/u2rawad2wPlu5P2PdfzXNsjs1qrv1+9/1U8636GSubc0/Dvk5fXtVpxhj9OH3bat/Ic4hxBOLAQg4ZsM1hLAwN54SbY3NuDoWaVd1wSRB77jUEh7hvh+gj6lXtw6F9GGsTzr0XuZ9oM2ffM3nM7NT4U/d/7t7lfmLuc9od4p4Feeyhdnl/e5eMtZTqzQ9JrsX+0KI6sKisDjGaQwcr7RCifZ/r5f6m5jA2dlXWxs3GGH29cGhOVXlzqK8w+hgrz4dM1QFSrjNUnuc0NFauM3ddQ3Wz1d6G0d9U26ExyWM457mxT91TWc0pv36M1Rt6nt7Um44ztM/VusZs7aqypeZ5hMfau5tYvbZOPTbbXldlJHko4/Vp6Wt4/29B9XrW16nG6N8nV/3k8rB/jR+bf37t7dvlPpvV+NF3dX3Kvu9+/DDPr9nX6fco7Odz073u24d9H1WdMNcJq/lWaw+r63PbkqcW4wjEgYUcKmCby1jIlo16/fgx16kwsjkUalZ1w6H6FedeQ3CI+3aIPsb2IvofYmoPojza9/OI78fm3drNoWofju17MLbmZpt7P/+4Prb2as2ZsbWPtctU4/f7Fn2NzXPuWPtQvfkhyTXYHxJkq8OPqTa9rU0cPvQHEP0BR5QPjVkZ9XP7aBuHK9XBSbO1HasT9n339mtpVnOK6+3Qp62xzTXs+8hza/VyeT9GLs9tK/ddV/Rbra2af+9N2pKHNB5z+XHYHHosVs+noefIKazmH3Os6s6td1P7cfbZn2qfwyWvEUvrj9nP45z3fMhqz6p6zfzYqcpJ8lDG68w+r5v5dWro9Ty/n6zGaGVD5X2dql4bo5pDfu3ty/P8s7letB+a15RV332dNvexOtW/H9Vac1/VnHP7qnxsnKG9Cqfm0sxjRpv4vmo71o48pxhHIA4s5BAB21LGxjyUQ6FmVTccqj/EOdcQHOK+HaKPqFe1D6P/Mao2h3LO/Kt24ZzHwjHv/zHve/RdtV3qMfnqE3eUb4BIkiR5GocOYKsD1H3qH9tqPnHgPFS3HSAP1TmE/Xz2PWju+wnnzjvGPOQBdz+PtR6et7Ah5jf1mIw6bT1VOUne1PzvTrjPvz3tdW3sNS2PkV+fh65nq39Hwzxev4ZWltsO9d/mP+RQuynnzHtOnTCvrzk0r1w31xm63pvr9ca8xspzP1N1w36drd3cuuQpjTNijCMQBxZyiFB0Hw4VzA05FCpWdcM5IWjPudYQHOK+HaKPqFe1D6P/Mcba3sS597JqG85tf6z7P7b3N7lnY22XOHVfAeAUVD8skTyPOA3V3h/LfQ5Gl9Y/ptX89wkcDmk/n7GD8TGHQoSqbm/UO+Q96eew75rWYh8iVHUuXQDjVM+bJebXmMqqzZDxmjX1mh7lUa9/fcsBdm+uV9le69v4Yf9v09y5Ve32/fd66N/HZpRP1Wnzrsqy1fjRLtqHuW6MObUXYT9u3sPWb9jWMdZnlM+dR65TGf30bfYRwHEQiAMLOUQoui/HDJSHQs2qbjg3BO05xxqCQ9y3Q/QR9ar24ZzgdKz9Pi65j1X7cEkfh77/U/t+03t20/ku2RsAOCbVD9kkzyNOQ7X3x7I/lG2OHb5W9ePwtap7bKv5n2suzX4++x4w73NvwnY4XpXtaz+HQ/d/SvvgIKzqXboAxqmeNySnBXAcBOLAQs4ZiAc3CejGwtSh4K6qG94k6Dv1GoJLCcSD6OMme9icO+dG1Ue49LEwto9znTvmIe7Zvnu9dF8A4JhUP2STPI84DdXeH8tTBeItpK3aTQW8YdTL7aKvaFfNv59LX94cC3Wj337M1qbvv7dqU9WbY7VnU/3NmWOU932Ptcn1wqk5VP3H93PudXNuH1Ev18n2dfv+9jX3OVW+VgGMUz1vSE4L4DgIxIGFHCJguyljoWplDuaq8nAovKvqhjcN+065huAQ9+0QfYytO/pfQtSPNVd9jRnt5s43U/UV7vNYiPHH9nPIGGvJPo2NsWQPou6SvV4yRwA4BdUP2STPI05DtffHsgqUw7Hgsqpf1QtbWJmDzPhvH0yOjZfrxtf5ehWGxrXcvtXt6+W+mnluuZ9+nKptM9ebqjtlzKfvLxzarzbPqizM62vzymMMzbWVT9XL/YdtnnmMfL0y91HNMV/PbXJ5M49TlVdG30P99eM2+/luQQDjVM8bktMCOA4CcWAhhwrYDkELFfugLr4fCg5zvWzUr6jqhkP1l3KKNQSHuG+H6CPqVe3Daq1zaXvY72PY9nHuHIfo+22O7fschh4Dre82/32Idn2fzX324xT7DADHoPohm+R5xGmo9v5YzgkSs3MD6L7unACzGrMFjc2+PJc1h+bT16vCy1zez6efy1D4meuM1Ztr3184tMYYa6gszH3k6/l+TO3LUJ2+Xj+P/p5X9zvMdYauh33/8X1fZ85jKuzrhFV/Q3Xb2qqytQpgnOp5Q3JaAMdBIA4AAABcONUP2STPI05DtffHsg8pm1WQWNUdC3v7ujnArPrqx+zr9AFoWIWWVb2wr9fPveorl/dB6pxQeKzeXKt5hVXdoethnn8/p36v+3uRy8JqTbn/sC8Pc/lUH315vw/9fa72qV9H2M8z7Os0+3ph1WeMXa1nzQIYp3rekJwWwHEQiAMAAAAXTvVDNsnziNNQ7f2x7IPQodCvDxsj/KuCwWyu39q0siq87APOqfKwmn9VL+zrTQWuYV5jXxbm9kP1bhqUDt2jfp0xztBYfR/VHo2V57KwH6eaYy5v9nXy/vbl1RhxrZX1bafuX7P1ke3rNKs+q73r57oFAYxTPW9ITgvgOAjEAQAAgAun+iGb5HnEaaj2/lhWQeaUVSBYmftugWEONXtzv9W8qnHn1gv7elWImecWfce16C+3y/btw77OIcLSoTnkOvF9m3Nvv+fVHuXycKysX1Pff5jLh+rlefRrrOY4ZrVH1X7MnWuzrxv2/fb7sQUBjFM9b0hOC+A4CMQBAACAC6f6IZvkecRpqPb+WFaBcg78qrJwKHgdswWR8d9q3ByATpUvrRf29aZCzNx3fD03SO3rHCIsrdYZxvUojzWPjVPNfcrcvi/rx+r7H5pLNY+hsqH7OGTUz+3Dtj/ZsTlUVv3muUV/S+e6BgGMUz1vSE4L4DgIxAEAAIALp/ohm+R5xGmo9v5YTgWtQ+VDgWdl30d1Lcyh4lQI2ZzqJ9vXG1tDDk1bf3OD1L7Okr0as+83zHMbWnc41G6ufft+TVPlzbE97K8vnWPU7/toj+Ps2Bwqh54DrTx/vSUBjFM9b0hOC+A4CMQBAACAC6f6IZvkecRpqPb+WA6FfTlIrILGcE5g2YePrd9q3NxfNWY13lQ/2b5eFdr2/eU6c4PUvk41zj5We9L6j/9WbZpVm6rekFPtp8qbba7ZVtZfz2VzrPYnP46bY3MYsmoTfceYQ2tduwDGqZ43JKcFcBwE4gAAAMCFU/2QTfI84jRUe38sq0C5hX25XhUIVvWyfUCZg8Nq3BxkV+FmLm9O9ZPt61VBZl8nr6/ag9y22dc5ZGDa990cWnOzalPVG7Jv269pqrw5tof99Vw2x+oxUz0+597HbPU4C6OvaowtCGCc6nlDcloAx0EgDgAAAFw41Q/ZJM8jTkO198dyKOjrQ76heuFQINjXy6Ft1d+S8qX1wr5eH9pWgWounxuk9nX6cW5iNcewqput5j503yr7tlN7N7TmXKevV61tyRzntq/2oq9T2bcJh9a5BQGMUz1vSE4L4DgIxAEAAIALp/ohm+R5xGmo9v5YVoFyWAWJQ3WrULAKJ+NaK6/6yuVhX16NM6efZl+v768vD3P53CC1r3PI0LRa75z+p+5H79J7Uc0rlzf7OnmcfdfWrNYYffb15t7H3iWPtS0IYJzqeUNyWgDHQSAOAAAAXDjVD9kkzyNOQ7X3x7IK+cIqSAyrMDHsg8EqnMx1qn76PuYEl3P6afb1ou1YedjKhvYpt2/2dfpxbmq/5qF71ZvbjLWN/euv9+2qNfXz6svDXF71kcubY4/F/H31mKva9vMMW9nQY6c51G6LAhinet6QnBbAcRCIAwAAABdO9UM2yfOI01Dt/bGMwLAP+cKhEDKs6oe5zVS/VXhZhZF9nRyCVsFmXyc7Va/qr9WJeVfluX2zrzM0n33Ne7uk76l7EsY9qPrs21R1+v5zv2F/z/vycGiO+bERdWL8qf7DaoxoW9Vr/fb1s3mMqbprF8A41fOG5LQAjoNAHAAAALhwqh+ySZ5HnIZq749lFQ62sK8KE8O4XrUJc5uqPPc7VN7ah2Njtb6qsrAPUas6eb5VoBq2fobKcx9zxjmErd+8xjkOraHZ73+4ZE193VZn6HplX7eyah9z7+tV6wn7es2xeYV5bkv3fm0CGKd63pCcFsBxEIgDAAAAF071QzbJ84jTUO39IZ0KRXurkHCsjxZCRrsWUsZ/+wAxh4u5XWXrp9n6an20/sO4luec21XmcfO6Wl+tLOznse84NzXmtm9/Mee8zja3uNbXzXUqh+bQ5tfXrcaoXDLHvl5lfx/j+zy/6KOvM2TUHVr3lgQAAMB2EIgDAAAAF051iEvyPOI0VHtPch1GIF4F81sTAAAA20EgDgAAAFw41SHuGmyfXus/ARfGtbD6tNklfKpsyLwXcz9px22J01DtPcl1eCn/jgMAAGA7CMQBAACAC6c6xD2nEfTm8LuFv30A3MLysH2SrH2f612Ksa5qX6q62ahXXec6xWmo9p7kaW3/ruVPg7d/23O9rQoAAIDtIBAHAAAALpzqEPdc9qHvnEPxfdps0X6d4VQg3v7ngqqM6xSnodp7kqez/zctX5/zP3ttQQAAAGwHgTgAAABw4VSHuOfwJsF2C36XttuS8am5vD9hVa+Z96Qq5zrFaaj2nuTp7P/Nj3+z4tol/RsOAACA7SAQBwAAAC6c6hD31PYH42FVb8zWxyUdpve2UDzWOPUJurynVTnXKU5DtfckT2f+n7ayU/+2bUkAAABsB4E4AAAAcOFUh7intPrkc/57okuMEPiSA/G55jA8rOpwneI0VHtP8rTmf//n/I9eWxMAAADbQSAOAAAAXDjVIe6pPPQnxOJw/doD8T4MD6t6XKc4DdXek+QhBQAAwHYQiAMAAAAXTnWIeyqrT4ffNMCtAvFqjDAH73kuQ59Qj/rVnGPMqs3Q+rK5flU+1kf/Pw5UYXjvnDp5LdX41Vp5GHEaqr0nyUMKAACA7SAQBwAAAC6c6hD3VPZBa7Oqe1OrILgFylVZbhv1Wp2xsDjq5HbhUABd1c31479tfvHfvn2YA/GqvLL1OzSv3Gczjy8MP644DdXek+QhBQAAwHYQiAMAAAAXTnWIewqHQt6hoPimVp90jjm0gLcPiHMwPHS9alfNvwqfh4Llti/9OEPzz3XCaqy+TtjG6a36DKPfam08rDgN1d6T5CEFAADAdhCIAwAAABdOdYh7CocC2WOFrlWgHGPlADiXtetVu1Y/7APoav5Da+3rhTFeFZYfOhAPh/akqjvWDw8nTkO19yR5SAEAALAdBOIAAADAhVMd4p7CNQTiYa7TwuQcNE8F0X1Z2MqyVVBdBd9xvQq6jxGIh33dsO83xj7WfeErxWmo9p4kDykAAAC2g0Acf49n771z9+ibf23Qrzz+yEs1L5dr2IN+jQAA4HKpDnFPYYSuVRh7ykC8CqQrc8jcwuKqv2bffqh+v9ax4Llqf4hAvOo3ruU60Wd/jccRp6Hae5I8pAAAANgOAvEVESFrDiifevdbXyp5mT7ErOrcFIH4dexBPHbaeqYeR7luM/ZoLrFfUb8JAABOS3WIewr3DcSrAHfIHBjPCX7nmOcdXy8JoKu6eY7999lq/lXdpYF4Xs9Qm6l7wsOJ01DtPUkeUgAAAGwHgfiK6APxsKcvF4gfh2vYg7yeKapAfE67Rm4jEAcA4PRUh7insgpi54avY8F4FRTPDZTHzGFzC9OXBNDVHNp6WzDdt2keKxAPq77b+uK/7WseX5yGau9J8pACAABgOwjEV0QViPfhYV9+jEC8pw+HryEQ77m0PcgB95zHUF57du4+5DYCcQAATk91iHsqq/A2rOpWLmk/N1CubGF1s4XY4dIAuq/b6k8Fz3Pnv08g3q8vt8tr5fHFaaj2niQPKQAAALaDQHxFVIF4Diunyo+FQPzy9iCvZSqgzmvPQfqcto192gAAgMNRHeKeyirkbUHsHKvwdyjAvUkgPtZuaQA9NOepdscMxMO+TRh9hVV9HkechmrvSfKQAgAAYDsIxFfEUPDYyOXZY9OPKxDf9h70j7Mp8mMx2ub28fUcWv0lbQAAwOGoDnFPaRXgjn1SOlu1HQpw9w3Eq3a5vJpDLq/s64dTaz52IB599e3CufeChxGnodp7kjykAAAA2A4C8RWRg8b8afAWIObv29fhENFHhJnVp3qXBLr9eEvaRt2+fcynrWkOUbdfQ1vXELluNdbSNS2tH7S1923DNv+xfnL9Vq/1mfuZM5dMtGnto68pWt0w6NdTkcvnOkaMmecdxvdD889zjP3JbeProL8+Zy8AANgq1SHuqe1D2KFQu/cUgXjfJszl+wTQVZupuRw7EA/7dkva8jDiNFR7T5KHFAAAANtBIL4ihkK8uB7ft7IgB3kVuXzIFgxOkecVzg1g58xhrK+85iGH1pDrVEHn0jXtswdz1h/OWUOMN7Yf1Ror+nVMkeu3efbzqPYil8+1YmzN2X4O/bxz3Xatul6tBQCAS6A6xD211aeT53wy+dyBeDXvXD5kP5c5az1EID41zj7z4mHFaaj2niQPKQAAALaDQHxF5BAvgrkW2MV/c1mQw7yeKugbMupO0Yeoc0LDJXOomBuEDs0/14n59yxd0zn2IJfP2Y855DnNufe5ft7Hdq2/3sjlc+2Z+xho5nvS36+5ztkTAAC2SHWIey77MHcqkD1FID42RrSvyvs+KnO7OfOYO/9qPlGvzbWv35vbVeU8rjgN1d6T5CEFAADAdhCIr4gc4kW4V4V6LXzMQWWmChFzYFmV5yCxop/HVP1+jJhrbtP3V4WQuTyMNv24cS2vLdO37enncOg9CGJd0a6qm+9fWM0xl7f6eS/7PubMKdefQ66f59jvxxS5brXWin59ee1BVd7o59fK8rUw+gvb97kPAAAuieoQ95xG8JtD3fi6D8Yj3K0C4rg2FC5XQfGcgLg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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image(\"../exojax.png\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"xsmode = premodit\n",
"xsmode assumes ESLOG in wavenumber space: mode=premodit\n",
"======================================================================\n",
"We changed the policy of the order of wavenumber/wavelength grids\n",
"wavenumber grid should be in ascending order and now \n",
"users can specify the order of the wavelength grid by themselves.\n",
"Your wavelength grid is in *** descending *** order\n",
"This might causes the bug if you update ExoJAX. \n",
"Note that the older ExoJAX assumes ascending order as wavelength grid.\n",
"======================================================================\n",
"rtsolver: fbased2st\n",
"Flux-based two-stream solver, isothermal layer (ExoJAX1, HELIOS-R1 like)\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/exojax/src/exojax/utils/grids.py:145: UserWarning: Resolution may be too small. R=129859.29489937567\n",
" warnings.warn('Resolution may be too small. R=' + str(resolution),\n"
]
}
],
"source": [
"Nx = 1500\n",
"nu_grid, wav, res = wavenumber_grid(np.min(wavd) - 5.0,\n",
" np.max(wavd) + 5.0,\n",
" Nx,\n",
" unit=\"AA\",\n",
" xsmode=\"premodit\")\n",
"\n",
"#Atmospheric setting by \"art\"\n",
"Tlow = 400.0\n",
"Thigh = 1500.0\n",
"art = ArtEmisPure(nu_grid=nu_grid, pressure_top=1.e-8, pressure_btm=1.e2, nlayer=100)\n",
"art.change_temperature_range(Tlow, Thigh)\n",
"Mp = 33.2\n",
"\n",
"#instrumental setting\n",
"Rinst = 100000.\n",
"beta_inst = resolution_to_gaussian_std(Rinst)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Loading the databases, mdb for ExoMol/CH4 and cdb for CIA. Also, define opa for both databases. It takes ~ a few minites to initialize OpaPremodit (if you do not have the database, it takes more for downloading for the first time). Have a coffee and wait."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"HITRAN exact name= (12C)(1H)4\n",
"HITRAN exact name= (12C)(1H)4\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/exojax/src/exojax/utils/molname.py:178: FutureWarning: e2s will be replaced to exact_molname_exomol_to_simple_molname.\n",
" warnings.warn(\n",
"/home/exoplanet01/exojax/src/exojax/utils/molname.py:65: UserWarning: No isotope number identified.\n",
" warnings.warn(\"No isotope number identified.\", UserWarning)\n",
"/home/exoplanet01/exojax/src/exojax/utils/molname.py:65: UserWarning: No isotope number identified.\n",
" warnings.warn(\"No isotope number identified.\", UserWarning)\n",
"/home/exoplanet01/exojax/src/exojax/spec/molinfo.py:28: UserWarning: exact molecule name is not Exomol nor HITRAN form.\n",
" warnings.warn(\"exact molecule name is not Exomol nor HITRAN form.\")\n",
"/home/exoplanet01/exojax/src/exojax/spec/molinfo.py:29: UserWarning: No molmass available\n",
" warnings.warn(\"No molmass available\", UserWarning)\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Molecule: CH4\n",
"Isotopologue: 12C-1H4\n",
"Background atmosphere: H2\n",
"ExoMol database: None\n",
"Local folder: .database/CH4/12C-1H4/YT10to10\n",
"Transition files: \n",
"\t => File 12C-1H4__YT10to10__06000-06100.trans\n",
"\t => File 12C-1H4__YT10to10__06100-06200.trans\n",
"# i_upper i_lower A nu_lines gup jlower jupper elower eupper Sij0\n",
"0 1033220 1024493 0.00024832 5999.9999849999995 50 12 12 6673.851806 12673.851791 6.323472505220992e-39\n",
"1 1064746 1291636 0.00039538 5999.999983999999 75 13 12 4933.785965 10933.785949 7.117220393764851e-35\n",
"2 1071252 1291978 0.0017425 6000.000033 75 13 12 6546.843546 12546.843579 1.2340167731327585e-37\n",
"3 1071787 1292023 0.00018938 6000.000016 75 13 12 6624.447597 12624.447613 9.197315036051529e-39\n",
"4 1117488 895034 0.0017477 6000.000004999999 75 11 12 5307.511357 11307.511362 5.114842491594696e-35\n",
"... ... ... ... ... ... ... ... ... ... ...\n",
"217,996,053 916862 789269 0.00076054 6199.999923999999 69 10 11 7699.45898 13899.458904 1.711663352498023e-40\n",
"217,996,054 917793 789351 0.0010122 6199.9998590000005 69 10 11 7782.015923 13982.015782 1.5250560431095478e-40\n",
"217,996,055 919787 789549 0.00051839 6199.999945 69 10 11 7988.72336 14188.723305 2.8596894155983876e-41\n",
"217,996,056 97486 134836 3.7486e-05 6199.999949999999 21 4 3 4077.40367 10277.40362 1.136726310326331e-34\n",
"217,996,057 996182 847586 0.011161 6199.99995 125 11 12 7423.072664 13623.072614 1.7438490879626268e-38\n",
"Broadening code level: a1\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/anaconda3/lib/python3.10/site-packages/radis-0.15-py3.10-linux-x86_64.egg/radis/api/exomolapi.py:607: AccuracyWarning: The default broadening parameter (alpha = 0.0488 cm^-1 and n = 0.4) are used for J'' > 16 up to J'' = 40\n",
" warnings.warn(\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"N= 76483758\n",
"OpaPremodit: params automatically set.\n",
"Robust range: 397.77407283130566 - 1689.7679243628259 K\n",
"Tref changed: 296.0K->1153.6267095763965K\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/exojax/src/exojax/spec/opacalc.py:169: UserWarning: dit_grid_resolution is not None. Ignoring broadening_parameter_resolution.\n",
" warnings.warn(\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"OpaPremodit: Tref_broadening is set to 774.5966692414833 K\n",
"# of reference width grid : 2\n",
"# of temperature exponent grid : 2\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"uniqidx: 100%|██████████| 1/1 [00:02<00:00, 2.08s/it]\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Premodit: Twt= 461.3329793405918 K Tref= 1153.6267095763965 K\n",
"Making LSD:|####################| 100%\n",
"H2-H2\n"
]
}
],
"source": [
"### CH4 setting (PREMODIT)\n",
"mdb = MdbExomol('.database/CH4/12C-1H4/YT10to10/',\n",
" nurange=nu_grid,\n",
" gpu_transfer=False)\n",
"print('N=', len(mdb.nu_lines))\n",
"diffmode = 0\n",
"opa = OpaPremodit(mdb=mdb,\n",
" nu_grid=nu_grid,\n",
" diffmode=diffmode,\n",
" auto_trange=[Tlow, Thigh],\n",
" dit_grid_resolution=1.0)\n",
"\n",
"## CIA setting\n",
"from exojax.spec import molinfo\n",
"\n",
"cdbH2H2 = CdbCIA('.database/H2-H2_2011.cia', nu_grid)\n",
"opcia = OpaCIA(cdb=cdbH2H2, nu_grid=nu_grid)\n",
"mmw = 2.33 # mean molecular weight\n",
"mmrH2 = 0.74\n",
"molmassH2 = molinfo.molmass_isotope('H2')\n",
"vmrH2 = (mmrH2 * mmw / molmassH2) # VMR"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"76483758\n"
]
}
],
"source": [
"print(len(mdb.nu_lines))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Yeah, we have only 76,483,758 CH4 lines. Sets `sop`."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/exoplanet01/exojax/src/exojax/utils/grids.py:145: UserWarning: Resolution may be too small. R=129859.29489937567\n",
" warnings.warn('Resolution may be too small. R=' + str(resolution),\n",
"/home/exoplanet01/exojax/src/exojax/utils/grids.py:145: UserWarning: Resolution may be too small. R=129859.29489937567\n",
" warnings.warn('Resolution may be too small. R=' + str(resolution),\n"
]
}
],
"source": [
"sop_rot = SopRotation(nu_grid,vsini_max=100.0)\n",
"sop_inst = SopInstProfile(nu_grid,vrmax=100.0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we write the model, which is used in optimization."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"#response and rotation settings\n",
"from exojax.utils.astrofunc import gravity_jupiter\n",
"\n",
"def model_c(params,boost):\n",
" Rp,RV,MMR_CH4,T0,alpha,vsini,RV=params*boost\n",
"\n",
" Tarr = art.powerlaw_temperature(T0, alpha)\n",
" g = gravity_jupiter(Rp=Rp, Mp=Mp) # gravity in the unit of Jupiter\n",
" #molecule\n",
" xsmatrix = opa.xsmatrix(Tarr, art.pressure)\n",
" mmr_arr = art.constant_mmr_profile(MMR_CH4)\n",
" dtaumCH4 = art.opacity_profile_xs(xsmatrix, mmr_arr, opa.mdb.molmass, g)\n",
" #continuum\n",
" logacia_matrix = opcia.logacia_matrix(Tarr)\n",
" dtaucH2H2 = art.opacity_profile_cia(logacia_matrix, Tarr, vmrH2, vmrH2,\n",
" mmw, g)\n",
" #total tau\n",
" dtau = dtaumCH4 + dtaucH2H2\n",
" F0 = art.run(dtau, Tarr) / norm\n",
" Frot = sop_rot.rigid_rotation(F0, vsini, u1=0.0, u2=0.0)\n",
" Frot_inst = sop_inst.ipgauss(Frot, beta_inst)\n",
" mu = sop_inst.sampling(Frot_inst, RV, nusd)\n",
" return mu\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"#Rp,RV,MMR_CH4,T0,alpha,vsini, RV\n",
"boost=np.array([1.0,10.0,0.1,1000.0,1.e-3,10.0,10.0])\n",
"initpar=np.array([0.8,9.0,0.01,1200.0,0.1,17.0,0.0])/boost"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f05023bac50>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f = model_c(initpar,boost)\n",
"plt.plot(wavd[::-1],f)\n",
"plt.plot(wavd[::-1],nflux,alpha=0.5,color=\"gray\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define the objective function by a L2 norm."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"def objective(params):\n",
" f=nflux-model_c(params,boost)\n",
" g=jnp.dot(f,f)\n",
" return g"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### uses JAXOPT"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [],
"source": [
"import jaxopt"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f0501eb17b0>]"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"gd = jaxopt.GradientDescent(fun=objective, maxiter=100, stepsize=1.e-5)\n",
"resolution = gd.run(init_params=initpar)\n",
"params, state = resolution\n",
"model = model_c(params, boost)\n",
"resid = np.sqrt(np.sum((nflux - model)**2) / len(nflux))\n",
"\n",
"plt.plot(wavd[::-1],model)\n",
"plt.plot(wavd[::-1],nflux,alpha=0.5,color=\"gray\")"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Array([7.94206986e-01, 9.00000000e-01, 7.46312047e-02, 1.21979899e+00,\n",
" 1.00000009e+02, 1.70000442e+00, 3.49558495e-05], dtype=float64)"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"params"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### uses ADAM via JAXopt/Optax"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {},
"outputs": [],
"source": [
"from jaxopt import OptaxSolver\n",
"import optax"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 300/300 [00:07<00:00, 42.56it/s]\n"
]
}
],
"source": [
"import tqdm\n",
"adam = OptaxSolver(opt=optax.adam(2.e-2), fun=objective)\n",
"state = adam.init_state(initpar)\n",
"params_a=np.copy(initpar)\n",
"\n",
"params_adam=[]\n",
"Nit=300\n",
"for _ in tqdm.tqdm(range(Nit)):\n",
" params_a,state=adam.update(params_a,state)\n",
" params_adam.append(params_a)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-0.2, 0.2)"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"model_adam = model_c(params_a,boost)\n",
"\n",
"fig=plt.figure()\n",
"ax = fig.add_subplot(311)\n",
"plt.plot(wavd[::-1],model, color=\"C0\")\n",
"plt.plot(wavd[::-1],model_adam, color=\"C1\")\n",
"plt.plot(wavd[::-1],nflux,alpha=0.5,color=\"gray\")\n",
"ax = fig.add_subplot(312)\n",
"plt.plot(wavd[::-1],nflux-model,alpha=0.5,color=\"C0\")\n",
"plt.ylim(-0.2,0.2)\n",
"ax = fig.add_subplot(313)\n",
"plt.plot(wavd[::-1],nflux-model_adam,alpha=0.5,color=\"C1\")\n",
"plt.ylim(-0.2,0.2)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here, we use `bayeux` as a wrapper of `optax`."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"import bayeux as bx\n",
"import jax\n",
"\n",
"normal_density = bx.Model(log_density=lambda x: -objective(x), test_point=initpar)\n",
"\n",
"seed = jax.random.PRNGKey(0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{<function optax._src.alias.adam(learning_rate: Union[float, jax.Array, Callable[[Union[jax.Array, numpy.ndarray, numpy.bool_, numpy.number, float, int]], Union[jax.Array, numpy.ndarray, numpy.bool_, numpy.number, float, int]]], b1: float = 0.9, b2: float = 0.999, eps: float = 1e-08, eps_root: float = 0.0, mu_dtype: Optional[Any] = None) -> optax._src.base.GradientTransformation>: {'b1': 0.9,\n",
" 'b2': 0.999,\n",
" 'eps': 1e-08,\n",
" 'eps_root': 0.0,\n",
" 'mu_dtype': None,\n",
" 'learning_rate': 0.1},\n",
" 'extra_parameters': {'chain_method': 'vectorized',\n",
" 'num_particles': 8,\n",
" 'num_iters': 1000,\n",
" 'apply_transform': True}}"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"normal_density.optimize.optax_adam.get_kwargs()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [],
"source": [
"epar = {'chain_method': 'vectorized','num_particles': 8,'num_iters': 10,'apply_transform': True}"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [],
"source": [
"opt_results = normal_density.optimize.optax_adam(seed=seed, learning_rate=1.e-2)"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"OptimizerResults(params=Array([[ nan, -1.54816334, nan, nan, nan,\n",
" nan, nan],\n",
" [-1.53939444, 0.91550192, 1.45048061, -0.83786368, 1.61348152,\n",
" 0.02948209, -8.99609765],\n",
" [ nan, -0.95220913, nan, nan, nan,\n",
" nan, nan],\n",
" [ nan, -1.96014052, nan, nan, nan,\n",
" nan, nan],\n",
" [ nan, -0.34560645, nan, nan, nan,\n",
" nan, nan],\n",
" [ nan, -0.94483051, nan, nan, nan,\n",
" nan, nan],\n",
" [ nan, -1.34936884, nan, nan, nan,\n",
" nan, nan],\n",
" [-0.08328402, -0.20128299, 1.18719929, 1.29233165, 3.91762356,\n",
" 0.08986041, 0.97977645]], dtype=float64), state=ScaleByAdamState(count=Array([1000, 1000, 1000, 1000, 1000, 1000, 1000, 1000], dtype=int32), mu=Array([[ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [-6.51159266e-23, 0.00000000e+00, 3.45324362e-23,\n",
" 0.00000000e+00, 0.00000000e+00, 6.51212551e-14,\n",
" 1.60048612e-08],\n",
" [ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [ nan, 0.00000000e+00, nan,\n",
" nan, nan, nan,\n",
" nan],\n",
" [ 1.78952007e-02, 0.00000000e+00, -1.93917688e-03,\n",
" 1.83065742e-01, -1.55539519e-01, 8.39278401e-38,\n",
" -3.22709815e-03]], dtype=float64), nu=Array([[ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [1.15892124e-43, 0.00000000e+00, 3.26286629e-44, 0.00000000e+00,\n",
" 0.00000000e+00, 5.57501554e-17, 8.34686859e-15],\n",
" [ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [ nan, 0.00000000e+00, nan, nan,\n",
" nan, nan, nan],\n",
" [6.67882853e-03, 0.00000000e+00, 7.61112461e-05, 2.49345715e+03,\n",
" 4.35158763e-02, 9.62340786e-08, 2.65391231e-04]], dtype=float64)), loss=Array([[ nan, nan, nan, ..., nan,\n",
" nan, nan],\n",
" [388.49144622, 388.49144621, 388.49144621, ..., 388.49144521,\n",
" 388.49144521, 388.49144521],\n",
" [ nan, nan, nan, ..., nan,\n",
" nan, nan],\n",
" ...,\n",
" [ nan, nan, nan, ..., nan,\n",
" nan, nan],\n",
" [ nan, nan, nan, ..., nan,\n",
" nan, nan],\n",
" [ 58.01988269, 48.06526233, 38.91912035, ..., 8.71524356,\n",
" 8.71434933, 8.71323665]], dtype=float64))\n"
]
}
],
"source": [
"print(opt_results)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'log_density': <function __main__.<lambda>(x)>,\n",
" 'test_point': array([8.0e-01, 9.0e-01, 1.0e-01, 1.2e+00, 1.0e+02, 1.7e+00, 0.0e+00]),\n",
" 'transform_fn': <function bayeux._src.shared._nothing(x: Union[Mapping[str, jax.Array], NamedTuple]) -> Union[Mapping[str, jax.Array], NamedTuple]>,\n",
" 'inverse_transform_fn': <function oryx.core.interpreters.inverse.core.inverse.<locals>.wrapped(*args, **kwargs)>,\n",
" 'inverse_log_det_jacobian': None,\n",
" 'initial_state': None}"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"normal_density.optimize.optax_adam.__dict__"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"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": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 2
}