diff --git a/docs/notebooks/tutorials/exocomet.ipynb b/docs/notebooks/tutorials/exocomet.ipynb index 49aef7a..06c6cd4 100644 --- a/docs/notebooks/tutorials/exocomet.ipynb +++ b/docs/notebooks/tutorials/exocomet.ipynb @@ -11,9 +11,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "```{warning}\n", - "Under construction\n", - "```" + "In this tutorial we use nuance to search for exocomet transits on [$\\beta$ Pictoris planetary system](https://www.nature.com/articles/s41598-022-09021-2)\n", + "\n", + "```{note}\n", + "This tutorial requires the `lightkurve` package to access the data\n", + "```\n", + "\n", + "In order to run this tutorial on all available CPUs, we set the `XLA_FLAGS` env variable to" ] }, { @@ -32,23 +36,35 @@ "os.environ[\"XLA_FLAGS\"] = f\"--xla_force_host_platform_device_count={os.cpu_count()}\"" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Download\n", + "\n", + "We start by downloading the data using the `lightkurve` package" + ] + }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/homebrew/Caskroom/miniforge/base/envs/nuance/lib/python3.10/site-packages/lightkurve/config/__init__.py:119: UserWarning: The default Lightkurve cache directory, used by download(), etc., has been moved to /Users/lgrcia/.lightkurve/cache. Please move all the files in the legacy directory /Users/lgrcia/.lightkurve-cache to the new location and remove the legacy directory. Refer to https://docs.lightkurve.org/reference/config.html#default-cache-directory-migration for more information.\n", - " warnings.warn(\n" - ] + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ "import lightkurve as lk\n", "import numpy as np\n", + "import matplotlib.pyplot as plt\n", "\n", "# single sector\n", "lc = lk.search_lightcurve(\"beta pic\", author=\"SPOC\", exptime=120)[5].download()\n", @@ -68,62 +84,38 @@ "# normalize\n", "flux_median = np.median(flux)\n", "flux /= flux_median\n", - "error /= flux_median" + "error /= flux_median\n", + "\n", + "plt.plot(time, flux, c=\"0.5\", label=\"raw data\")\n", + "_ = plt.xlim(time.min(), time.min() + 1)" ] }, { - "cell_type": "code", - "execution_count": 3, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "33" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "lc.sector" + "The raw data shows a flux dispersion of about $10^{-3}$, which is mainly due to $\\delta$ Scuti pulsations in the stellar atmosphere. In order to search for exocomets while modeling this signal, we will define and optimize a Gaussian Process (GP) model of the data." ] }, { - "cell_type": "code", - "execution_count": 4, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "import matplotlib.pyplot as plt\n", + "## Gaussian Process\n", "\n", - "plt.plot(time, flux, c=\"0.5\", label=\"raw data\")\n", - "_ = plt.xlim(time.min(), time.min() + 1)" + "In order to define a GP able to represent the pulsation of the star, let's find its rotation period using a Lomb-Scargle periodogram" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "P = 0.500 days\n" + "P = 0.021 days\n" ] } ], @@ -140,7 +132,7 @@ " return period\n", "\n", "\n", - "period = 0.5 # rotation_period(time, flux)\n", + "period = rotation_period(time, flux)\n", "print(f\"P = {period:.3f} days\")" ] }, @@ -148,30 +140,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Gaussian Process" + "We then define the GP kernel as a mixture of two SHO kernels (implemented in `nuance.kernels`) and representative of a wide range of stellar variability signals." ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/opt/homebrew/Caskroom/miniforge/base/envs/nuance/lib/python3.10/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", - " from .autonotebook import tqdm as notebook_tqdm\n" - ] - } - ], + "outputs": [], "source": [ "import jax.numpy as jnp\n", "from nuance.kernels import Rotation\n", "from tinygp import GaussianProcess, kernels\n", "\n", "initial_params = {\n", - " \"log_period\": jnp.log(0.5),\n", + " \"log_period\": jnp.log(period),\n", " \"log_Q\": jnp.log(100),\n", " \"log_sigma\": jnp.log(jnp.std(flux)),\n", " \"log_dQ\": jnp.log(100),\n", @@ -193,9 +176,16 @@ " return GaussianProcess(kernel, time, diag=jitter2, mean=mean)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And proceed to its optimization" + ] + }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 5, "metadata": {}, "outputs": [], "source": [ @@ -205,7 +195,7 @@ "mu, nll = gp_model(time, flux, build_gp)\n", "\n", "# optimization\n", - "gp_params = minimize(nll, initial_params, [\"log_sigma\"])\n", + "gp_params = minimize(nll, initial_params, [\"log_sigma\", \"log_period\"])\n", "gp_params = minimize(nll, gp_params)" ] }, @@ -218,12 +208,12 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -265,24 +255,26 @@ "source": [ "## Exocomet search\n", "\n", - "All the above is data preparation, now is time to actually search the cleaned light curve\n", + "All the above is the GP preparation, now is time to actually search the light curve.\n", "\n", "\n", - "### The model" + "### The model\n", + "\n", + "Here we employ a model template of an exocomet transit with varying durations. We note that this model is purely empirical." ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 9, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -315,17 +307,33 @@ "plt.plot(time, exocomet(time, np.mean(time), 5), c=\"k\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Linear search \n", + "\n", + "We can perform the linear search by specifying our template model with `Nuance(..., model=exocomet)` " + ] + }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 8, "metadata": {}, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 17460/17460 [00:50<00:00, 347.58it/s]\n" - ] + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4bf9da14b72f4c3ca5738a9519784e0f", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/17460 [00:00