diff --git a/docs/notebooks/combined.ipynb b/docs/notebooks/combined.ipynb index f36effb..74277d6 100644 --- a/docs/notebooks/combined.ipynb +++ b/docs/notebooks/combined.ipynb @@ -10,7 +10,11 @@ { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "tags": [ + "hide-input" + ] + }, "outputs": [ { "data": { @@ -24,9 +28,7 @@ " CpuDevice(id=6),\n", " CpuDevice(id=7),\n", " CpuDevice(id=8),\n", - " CpuDevice(id=9),\n", - " CpuDevice(id=10),\n", - " CpuDevice(id=11)]" + " CpuDevice(id=9)]" ] }, "execution_count": 1, @@ -59,13 +61,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/lgarcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", + "/Users/lgrcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -111,12 +113,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "6776e7d4e0b04d8fb368c5958eebb8b4", + "model_id": "abe18dda3d744a4e92167a1adb47ed4b", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/250 [00:00" ] @@ -324,7 +326,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.18" + "version": "3.8.13" }, "orig_nbformat": 4 }, diff --git a/docs/notebooks/multi.ipynb b/docs/notebooks/multi.ipynb index 3fca519..fe54e22 100644 --- a/docs/notebooks/multi.ipynb +++ b/docs/notebooks/multi.ipynb @@ -25,9 +25,7 @@ " CpuDevice(id=6),\n", " CpuDevice(id=7),\n", " CpuDevice(id=8),\n", - " CpuDevice(id=9),\n", - " CpuDevice(id=10),\n", - " CpuDevice(id=11)]" + " CpuDevice(id=9)]" ] }, "execution_count": 1, @@ -81,7 +79,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/lgarcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", + "/Users/lgrcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] }, @@ -152,12 +150,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "52a1143ec15c42d0ac62c8c4da2e0d77", + "model_id": "b48b609eac8c478cb5630c685587f851", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/84 [00:00" + "" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, @@ -317,7 +315,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -344,13 +342,13 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "73de98f383484957acc59fa4a045bd1e", + "model_id": "e1ce39b180d447d6be6e1c0b4cbde82d", "version_major": 2, "version_minor": 0 }, @@ -373,10 +371,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 11, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, @@ -455,7 +453,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.5" + "version": "3.8.13" }, "orig_nbformat": 4, "vscode": { diff --git a/docs/notebooks/periodic.ipynb b/docs/notebooks/periodic.ipynb index 0cc713e..1fe2d51 100644 --- a/docs/notebooks/periodic.ipynb +++ b/docs/notebooks/periodic.ipynb @@ -33,9 +33,7 @@ " CpuDevice(id=6),\n", " CpuDevice(id=7),\n", " CpuDevice(id=8),\n", - " CpuDevice(id=9),\n", - " CpuDevice(id=10),\n", - " CpuDevice(id=11)]" + " CpuDevice(id=9)]" ] }, "execution_count": 1, @@ -61,13 +59,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/lgarcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", + "/Users/lgrcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -109,12 +107,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "c6da8303faec4e978fedc1432a2e5550", + "model_id": "e11d9249b1574d1e82a58096178ccc06", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/334 [00:00" ] @@ -269,7 +267,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.18" + "version": "3.8.13" }, "orig_nbformat": 4, "vscode": { diff --git a/docs/notebooks/single.ipynb b/docs/notebooks/single.ipynb index 06bd1fd..dc341aa 100644 --- a/docs/notebooks/single.ipynb +++ b/docs/notebooks/single.ipynb @@ -33,9 +33,7 @@ " CpuDevice(id=6),\n", " CpuDevice(id=7),\n", " CpuDevice(id=8),\n", - " CpuDevice(id=9),\n", - " CpuDevice(id=10),\n", - " CpuDevice(id=11)]" + " CpuDevice(id=9)]" ] }, "execution_count": 1, @@ -61,7 +59,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/lgarcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", + "/Users/lgrcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] }, @@ -109,12 +107,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "0d08808b1e0a4879ba363307b474c9d8", + "model_id": "61fb5d6d76c048dfb2d842a437de8f10", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/167 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "time = np.concatenate([data[\"time\"] for data in observations])\n", + "flux = np.concatenate([data[\"flux\"] for data in observations])\n", + "\n", + "plt.figure(figsize=(8, 2.5))\n", + "plt.plot(time, flux, \".\", c=\"0.8\")\n", + "plt.ylim(0.98, 1.02)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "mean_error = np.mean([data[\"error\"] for data in observations])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Fitting the GP" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "import tinygp\n", + "import jaxopt\n", + "\n", + "mean_error = np.mean([data[\"error\"] for data in observations])\n", + "\n", + "\n", + "def build_gp(params, time=time):\n", + " kernel = tinygp.kernels.quasisep.SHO(**params)\n", + " return tinygp.GaussianProcess(kernel, time, diag=mean_error**2, mean=0.0)\n", + "\n", + "\n", + "@jax.jit\n", + "def loss(params):\n", + " gp = build_gp(params)\n", + " return -gp.log_probability(flux - 1.0)\n", + "\n", + "\n", + "solver = jaxopt.ScipyMinimize(fun=loss)\n", + "soln = solver.run({\"omega\": 5.0, \"quality\": 5.0, \"sigma\": 0.02})\n", + "gp = build_gp(soln.params)\n", + "\n", + "\n", + "@jax.jit\n", + "def mean():\n", + " return gp.condition(flux - 1.0, time).gp.mean" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 2.5))\n", + "plt.plot(time, flux - 1, \".\", c=\"0.8\")\n", + "plt.plot(time, mean(), c=\"k\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Setting up the linear search(es)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "0f0732b2274f43c5b0ac12deafce1a69", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + " 0%| | 0/50 [00:00" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.axvline(true[\"transit_params\"][\"P\"], c=\"k\", alpha=0.1, label=\"True period\")\n", + "plt.plot(periods, search.Q_snr)\n", + "plt.xlabel(\"Period (days)\")\n", + "plt.ylabel(\"SNR\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\ttrue\tfound\n", + "t0\t0.299\t0.300 days\n", + "D\t0.033\t0.026 days\n", + "P\t0.650\t0.650 days\n" + ] + } + ], + "source": [ + "t0, D, P = search.best\n", + "\n", + "found = {\n", + " \"t0\": t0,\n", + " \"D\": D,\n", + " \"P\": P,\n", + "}\n", + "\n", + "print(f\"\\ttrue\\tfound\")\n", + "for param in [\"t0\", \"D\", \"P\"]:\n", + " print(f\"{param}\\t{found[param]:.3f}\\t{(true['transit_params'])[param]:.3f} days\")" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "found_signals = np.array(nu.models(*search.best, split=True))\n", + "\n", + "plt.figure(figsize=(10, 4.5))\n", + "plt.plot(time, flux, \".\", c=\"0.8\")\n", + "for i in range(len(observations)):\n", + " systematics, transit, variability = found_signals[:, i, :]\n", + " plt.plot(nu[i].time, systematics + variability + transit, c=\"C4\", lw=1)\n", + " plt.plot(\n", + " nu[i].time,\n", + " systematics + variability,\n", + " c=\"k\",\n", + " lw=1,\n", + " label=\"reconstructed\" if i == 0 else None,\n", + " )\n", + "\n", + "for i in range(len(observations)):\n", + " plt.plot(\n", + " nu[i].time,\n", + " found_signals[1, i, :] + 1 - 0.02,\n", + " c=\"C4\",\n", + " label=\"found transit\" if i == 0 else None,\n", + " )\n", + " plt.plot(\n", + " nu[i].time,\n", + " true[\"transits\"][i] + 1 - 0.02,\n", + " c=\"C0\",\n", + " label=\"true transit\" if i == 0 else None,\n", + " )\n", + "plt.ylim(0.97, 1.015)\n", + "plt.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "nuance", + "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": "3.8.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/docs/notebooks/tutorials/tess_search.ipynb b/docs/notebooks/tutorials/tess_search.ipynb index 26ff5a9..38fed10 100644 --- a/docs/notebooks/tutorials/tess_search.ipynb +++ b/docs/notebooks/tutorials/tess_search.ipynb @@ -35,9 +35,7 @@ " CpuDevice(id=6),\n", " CpuDevice(id=7),\n", " CpuDevice(id=8),\n", - " CpuDevice(id=9),\n", - " CpuDevice(id=10),\n", - " CpuDevice(id=11)]" + " CpuDevice(id=9)]" ] }, "execution_count": 1, @@ -65,7 +63,16 @@ "cell_type": "code", "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/Caskroom/miniforge/base/envs/nuance/lib/python3.8/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" + ] + } + ], "source": [ "import lightkurve as lk\n", "import numpy as np\n", @@ -104,7 +111,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/lgarcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", + "/Users/lgrcia/code/dev/nuance/nuance/combined.py:7: TqdmExperimentalWarning: Using `tqdm.autonotebook.tqdm` in notebook mode. Use `tqdm.tqdm` instead to force console mode (e.g. in jupyter console)\n", " from tqdm.autonotebook import tqdm\n" ] }, @@ -239,12 +246,12 @@ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "95a52071645a4d99a86f1e84c6302c14", + "model_id": "8ecdb7cb62d0473aa6a094a4b60fe986", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/1215 [00:00" ] @@ -413,7 +420,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.5" + "version": "3.8.13" }, "orig_nbformat": 4 }, diff --git a/docs/source/multi.ipynb b/docs/source/multi.ipynb deleted file mode 100644 index 65b8c6d..0000000 --- a/docs/source/multi.ipynb +++ /dev/null @@ -1,45 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Multiplanetary search" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "nuance", - "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": "3.10.4 | packaged by conda-forge | (main, Mar 24 2022, 17:39:37) [Clang 12.0.1 ]" - }, - "orig_nbformat": 4, - "vscode": { - "interpreter": { - "hash": "93a77b3b843cffc8bd39b05449aa29995319844b870696fee6b93b7ccb2ec5d4" - } - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/docs/source/periodic.ipynb b/docs/source/periodic.ipynb deleted file mode 100644 index 0581072..0000000 --- a/docs/source/periodic.ipynb +++ /dev/null @@ -1,279 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Periodic transit search" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this notebook, we use `nuance` to search for a periodic transit. Let's generate some data first" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "from nuance import Nuance, utils\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "t = np.linspace(0, 3., 4000)\n", - "true = {\"t0\":0.2, \"D\":0.05, \"P\":0.7, \"depth\":2e-3}\n", - "(time, flux, error), X, kernel = utils.simulated(t=t, **true)\n", - "plt.plot(time, flux, \".\", c=\"0.8\")\n", - "plt.ylabel(\"flux\")\n", - "plt.xlabel(\"time\")\n", - "\n", - "plt.tight_layout()" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The *linear search*\n", - "\n", - "We start by instantiating a [Nuance](nuance.Nuance) object, and perform the *linear search* over all times (considered as potential transit epochs) and on a wide range of durations." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "849ed001d7a84b61b92eb97e551f0c6c", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - " 0%| | 0/4000 [00:00" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "periods = np.linspace(0.1, 5, 4000)\n", - "search = nu.periodic_search(periods)\n", - "\n", - "t0, D, P = search.best\n", - "plt.plot(search.periods, search.Q_snr, c=\"k\")\n", - "\n", - "plt.axvline(P, c=\"k\", alpha=0.2)\n", - "plt.xlabel(\"periods\"); plt.ylabel(\"SNR\")\n", - "\n", - "print(\"\\n\".join([f\"{n}: {v:.3f}\" for n, v in zip([\"epoch\", \"duration\", \"period\"], [t0, D, P])]))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And to plot the corresponding phase folded model" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "linear, astro, noise = nu.models(t0, D, P)\n", - "phi = utils.phase(time, t0, P)\n", - "\n", - "plt.plot(phi, flux-(linear+noise), \".\", c=\"0.8\")\n", - "plt.xlabel(\"phase\"); plt.ylabel(\"detrended flux\")\n", - "_ = plt.xlim(-3*D, 3*D)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "against the injected one" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(time, flux-noise-linear, \".\", c=\"0.8\")\n", - "plt.plot(time, astro, c=\"k\", label=\"found\")\n", - "plt.plot(time, true[\"depth\"]*utils.periodic_transit(t, D=true[\"D\"], t0=true[\"t0\"], P=true[\"P\"]), c=\"C0\", label=\"injected\")\n", - "plt.legend()\n", - "plt.ylabel(\"flux\")\n", - "plt.xlabel(\"time\")\n", - "\n", - "plt.tight_layout()" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "```{note}\n", - "If we want to search for another planetary candidate, we can mask the current candidate and reuse the *linear search*, only the *periodic search* needs to be reran. This is demonstrated in the [Multi-planetary search notebook](multi1.ipynb)\n", - "```" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "nuance", - "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": "3.10.4 | packaged by conda-forge | (main, Mar 24 2022, 17:39:37) [Clang 12.0.1 ]" - }, - "orig_nbformat": 4, - "vscode": { - "interpreter": { - "hash": "93a77b3b843cffc8bd39b05449aa29995319844b870696fee6b93b7ccb2ec5d4" - } - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/docs/source/single.ipynb b/docs/source/single.ipynb deleted file mode 100644 index d51f431..0000000 --- a/docs/source/single.ipynb +++ /dev/null @@ -1,215 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Single transit search" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "In this notebook, we use `nuance` to search for a single transit. Let's generate some data first, of a unique planetary transit lost in a smooth stellar variability signal" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "t = np.linspace(0, 1, 2000)\n", - "true = {\"t0\":0.3, \"D\":0.05, \"P\":10, \"depth\":1e-3}\n", - "(time, flux, error), X, kernel = utils.simulated(t=t, **true)\n", - "plt.plot(time, flux, \".\", c=\"0.8\")\n", - "plt.ylabel(\"flux\")\n", - "plt.xlabel(\"time\")\n", - "\n", - "plt.tight_layout()" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## The *linear search*\n", - "\n", - "We start by instantiating a [Nuance](nuance.Nuance) object, and perform the *linear search* over all times (considered as potential transit epochs) and on a wide range of durations." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "2101fdd5814742049a6493a3a2f4176a", - "version_major": 2, - "version_minor": 0 - }, - "text/plain": [ - " 0%| | 0/2000 [00:00" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplot(211)\n", - "plt.plot(time, flux, \".\", c=\"0.8\")\n", - "plt.ylabel(\"flux\")\n", - "\n", - "plt.subplot(212)\n", - "nu.search_data.show_ll()\n", - "plt.ylabel(\"durations\")\n", - "plt.xlabel(\"time\")\n", - "\n", - "plt.tight_layout()" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We clearly identify a transit candidate, that we can plot thanks to its parameters" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "epoch: 0.301\n", - "duration: 0.051\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "t0, D, _ = nu.search_data.best\n", - "linear, astro, noise = nu.models(t0, D)\n", - "plt.plot(time, flux, \".\", c=\"0.8\")\n", - "plt.plot(time, linear+astro+noise, c=\"k\", label=\"full model\")\n", - "plt.plot(time, true[\"depth\"]*utils.periodic_transit(t, D=true[\"D\"], t0=true[\"t0\"]) + 1., ls=\"-\", c=\"C0\", label=\"injected\")\n", - "plt.plot(time, astro + 1., ls=\"--\", c=\"k\", label=\"found\")\n", - "plt.legend()\n", - "plt.ylabel(\"flux\")\n", - "plt.xlabel(\"time\")\n", - "\n", - "plt.tight_layout()\n", - "print(\"\\n\".join([f\"{n}: {v:.3f}\" for n, v in zip([\"epoch\", \"duration\"], [t0, D])]))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Which is the one injected in the simulated dataset" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "nuance", - "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": "3.10.4" - }, - "orig_nbformat": 4, - "vscode": { - "interpreter": { - "hash": "93a77b3b843cffc8bd39b05449aa29995319844b870696fee6b93b7ccb2ec5d4" - } - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/nuance/combined.py b/nuance/combined.py index 577901c..53b9672 100644 --- a/nuance/combined.py +++ b/nuance/combined.py @@ -36,6 +36,9 @@ def __post_init__(self): self._fill_search_data() self._compute_L() + def __getitem__(self, i): + return self.datasets[i] + @property def model(self): """The model""" @@ -44,7 +47,14 @@ def model(self): def _fill_search_data(self): if all([d.search_data is not None for d in self.datasets]): t0s = np.hstack([d.search_data.t0s for d in self.datasets]) - Ds = np.hstack([d.search_data.Ds for d in self.datasets]) + all_Ds = [n.search_data.Ds for n in self.datasets] + all_equal = ( + np.diff(np.vstack(all_Ds).reshape(len(all_Ds), -1), axis=0) == 0 + ).all() + assert ( + all_equal + ), "All datasets linear searches must have same duration grids" + Ds = self.datasets[0].search_data.Ds ll = np.vstack([d.search_data.ll for d in self.datasets]) z = np.vstack([d.search_data.z for d in self.datasets]) vz = np.vstack([d.search_data.vz for d in self.datasets]) @@ -73,7 +83,7 @@ def _compute_L(self): Liy = solve_triangular(*[(d.gp, d.flux) for d in self.datasets]) LiX = solve_triangular(*[(d.gp, d.X.T) for d in self.datasets]) - def eval_m(ms): + def eval_model(ms): Lim = solve_triangular(*[(d.gp, m) for d, m in zip(self.datasets, ms)]) LiXm = jnp.hstack([LiX, Lim[:, None]]) LiXmT = LiXm.T @@ -82,18 +92,13 @@ def eval_m(ms): v = jnp.linalg.inv(LimX2) return w, v - self.eval_m = eval_m + self.eval_model = eval_model def linear_search(self, t0s, Ds, progress=True): for d in self.datasets: d.linear_search(t0s, Ds, progress=progress) - def periodic_transits(self, t0, D, P, c=None): - if c is None: - c = self.c - return [self.model(d.search_data.t0s, t0, D, P) for d in self.datasets] - - def solve(self, t0, D, P, c=None): + def solve(self, t0, D, P): """Solve the combined model for a given set of parameters. Parameters @@ -102,7 +107,7 @@ def solve(self, t0, D, P, c=None): epoch, same unit as time D : float duration, same unit as time - P : float, optional + P : float, optionale period, same unit as time, by default None c : float, optional c parameter of the transit model, by default None @@ -112,12 +117,11 @@ def solve(self, t0, D, P, c=None): list (w, v): linear coefficients and their covariance matrix """ - if c is None: - c = self.c - w, v = self.eval_m(self.periodic_transits(t0, D, P, c)) + models = [self.model(d.search_data.t0s, t0, D, P) for d in self.datasets] + w, v = self.eval_model(models) return w, v - def snr(self, t0, D, P, c=None): + def snr(self, t0, D, P): """SNR of transit linearly solved for epoch `t0` and duration `D` (and period `P` for a periodic transit) Parameters @@ -136,10 +140,8 @@ def snr(self, t0, D, P, c=None): float transit snr """ - if c is None: - c = self.c - w, v = self.solve(t0, D, P, c) - return np.max([0, w[-1] / jnp.sqrt(v[-1, -1])]) + w, v = self.solve(t0, D, P) + return jnp.max(jnp.array([0, w[-1] / jnp.sqrt(v[-1, -1])])) def periodic_search(self, periods, dphi=0.01): """Performs the periodic search @@ -193,7 +195,7 @@ def _search(p): return new_search_data - def models(self, t0, D, P): + def models(self, t0, D, P, split=False): """Solve the combined model for a given set of parameters. Parameters @@ -204,18 +206,14 @@ def models(self, t0, D, P): duration, same unit as time P : float, optional period, same unit as time, by default None - c : float, optional - c parameter of the transit model, by default None Returns ------- list (w, v): linear coefficients and their covariance matrix """ - if c is None: - c = self.c - m = self.model(t0, D, P) - w, _ = self.eval_m(m) + ms = [d.model(d.time, t0, D, P) for d in self.datasets] + w, _ = self.eval_model(ms) # means w_idxs = [0, *np.cumsum([d.X.shape[0] for d in self.datasets])] @@ -231,8 +229,10 @@ def models(self, t0, D, P): for i, d in enumerate(self.datasets): _, cond = d.gp.condition(d.flux - means[i] - signals[i]) noises.append(cond.mean) - - return np.hstack(means), np.hstack(signals), np.hstack(noises) + if split: + return means, signals, noises + else: + return np.hstack(means), np.hstack(signals), np.hstack(noises) def mask_model(self, t0: float, D: float, P: float): new_self = self.__class__( diff --git a/nuance/core.py b/nuance/core.py index a6bd051..b5dda40 100644 --- a/nuance/core.py +++ b/nuance/core.py @@ -1,3 +1,5 @@ +from functools import partial + import jax import jax.numpy as jnp @@ -21,11 +23,30 @@ def function(m): @jax.jit -def transit_protopapas(t, t0, D, P=1e15, c=12, d=1.0): +def transit_protopapas(t, t0, D, P=1e15, c=12): _t = P * jnp.sin(jnp.pi * (t - t0) / P) / (jnp.pi * D) - return -d * 0.5 * jnp.tanh(c * (_t + 1 / 2)) + 0.5 * jnp.tanh(c * (_t - 1 / 2)) + return -0.5 * jnp.tanh(c * (_t + 1 / 2)) + 0.5 * jnp.tanh(c * (_t - 1 / 2)) @jax.jit def transit_box(time, t0, D, P=1e15): return -((jnp.abs(time - t0) % P) < D / 2).astype(float) + + +def map_function(eval_function, model, time, backend, map_t0, map_D): + jitted_eval = jax.jit(eval_function, backend=backend) + + @jax.jit + def single_eval(t0, D): + m = model(time, t0, D) + ll, w, v = jitted_eval(m) + return w[-1], v[-1, -1], ll + + t0s_eval = map_t0(single_eval, in_axes=(0, None)) + ds_t0s_eval = map_D(t0s_eval, in_axes=(None, 0)) + + return ds_t0s_eval + + +pmap_cpus = partial(map_function, backend="cpu", map_t0=jax.pmap, map_D=jax.vmap) +vmap_gpu = partial(map_function, backend="gpu", map_t0=jax.vmap, map_D=jax.vmap) diff --git a/nuance/nuance.py b/nuance/nuance.py index f5949d6..cd45882 100644 --- a/nuance/nuance.py +++ b/nuance/nuance.py @@ -45,7 +45,7 @@ class Nuance: def __post_init__(self): if self.model is None: - self.model = partial(core.transit_protopapas, c=12, d=1) + self.model = partial(core.transit_protopapas, c=12) assert (self.error is None) ^ ( self.gp is None @@ -291,6 +291,8 @@ def linear_search( Ds: np.ndarray, positive: bool = True, progress: bool = True, + backend: str = None, + batch_size: int = None, ): """Performs the linear search. Saves the linear search `Nuance.search_data` as a :py:class:`nuance.SearchData` object @@ -304,39 +306,49 @@ def linear_search( wether to force depth to be positive, by default True progress : bool, optional wether to show progress bar, by default True - + backend : str, optional + backend to use, by default jax.default_backend() (options: "cpu", "gpu"). + This affect the linear search function jax mapping strategy. For more details, see + :py:func:`nuance.core.map_function` + batch_size : int, optional + batch size for parallel evaluation, by default None Returns ------- None """ + assert backend in [None, "cpu", "gpu"], "backend must be 'cpu' or 'gpu'" - n = len(self.X) + if backend is None: + backend = jax.default_backend() - @jax.jit - def eval_model(t0, D): - m = self.model(self.time, t0, D) - _ll, w, v = self.eval_model(m) - return w[n], v[n, n], _ll + if backend == "cpu": + eval_t0_Ds_function = core.pmap_cpus + if batch_size is None: + batch_size = DEVICES_COUNT + + elif backend == "gpu": + eval_t0_Ds_function = core.vmap_gpu + if batch_size is None: + batch_size = 1000 + + eval_t0s_Ds = eval_t0_Ds_function(self.eval_model, self.model, self.time) - chunk_size = DEVICES_COUNT - chunks = int(np.ceil(len(t0s) / chunk_size)) - padded_t0s = np.pad(t0s, pad_width=[0, chunks * chunk_size - len(t0s)]) - splitted_t0s = np.array(np.array_split(padded_t0s, chunks)) + batches_n = int(np.ceil(len(t0s) / batch_size)) + padded_t0s = np.pad(t0s, pad_width=[0, batches_n * batch_size - len(t0s)]) + batched_t0s = np.array(np.array_split(padded_t0s, batches_n)) ll = np.zeros((len(padded_t0s), len(Ds))) depths = ll.copy() vars = ll.copy() depths = ll.copy() - _progress = lambda x: tqdm(x) if progress else x + _progress = lambda x: (tqdm(x) if progress else x) - f = jax.pmap(eval_model, in_axes=(0, None)) - g = jax.vmap(f, in_axes=(None, 0)) - for i, t0 in enumerate(_progress(splitted_t0s)): - _depths, _vars, _ll = g(t0, Ds) - depths[i * DEVICES_COUNT : (i + 1) * DEVICES_COUNT, :] = _depths.T - vars[i * DEVICES_COUNT : (i + 1) * DEVICES_COUNT, :] = _vars.T - ll[i * DEVICES_COUNT : (i + 1) * DEVICES_COUNT, :] = _ll.T + for i, t0 in enumerate(_progress(batched_t0s)): + _depths, _vars, _ll = eval_t0s_Ds(t0, Ds) + depths[i * batch_size : (i + 1) * batch_size, :] = _depths.T + vars[i * batch_size : (i + 1) * batch_size, :] = _vars.T + ll[i * batch_size : (i + 1) * batch_size, :] = _ll.T depths = np.array(depths[0 : len(t0s), :]) vars = np.array(vars[0 : len(t0s), :]) diff --git a/nuance/utils.py b/nuance/utils.py index c53ed1d..711f95a 100644 --- a/nuance/utils.py +++ b/nuance/utils.py @@ -4,6 +4,7 @@ import tinygp from nuance import core +from nuance.core import transit_protopapas def interp_split_times(time, p, dphi=0.01): @@ -16,7 +17,7 @@ def interp_split_times(time, p, dphi=0.01): # this line is important so that different time-series have the same phase 0 tmin -= tmin % p pt0s = np.array([tmin + phase * p + j * p for j in n]) # corresponding t0s - has_time = np.any([np.abs(time - _t0) < p / 2 for _t0 in pt0s.mean(1)], 1) + has_time = np.any([np.abs(time - _t0) % p < p / 2 for _t0 in pt0s.mean(1)], 1) pt0s = pt0s[has_time] return pt0s @@ -161,3 +162,71 @@ def binn_time(time, flux, bins=7 / 24 / 60): binned_flux = np.array([np.mean(flux[i]) for i in indexes]) binned_error = np.array([np.std(flux[i]) / np.sqrt(len(i)) for i in indexes]) return binned_time, binned_flux, binned_error + + +def simulated_ground_based(n=500, N=4): + true = { + "t0": 0.3, + "D": 38 / 60 / 24, + "depth": 0.005, + "P": 0.65, + } + idxs = np.arange(1, N) * n + times = [np.linspace(0 + i, 0.5 + i, n) for i in range(N)] + time = np.concatenate(times) + error = 1e-3 + kernel = tinygp.kernels.quasisep.SHO(np.pi / true["D"] / 3, 1, true["depth"] / 2) + variability_gp = tinygp.GaussianProcess(kernel, time, diag=0) + jax_key = jax.random.PRNGKey(0) + variability = variability_gp.sample(jax_key) + variabilities = [ + np.random.normal(0, error) + v for v in np.split(variability, idxs) + ] + + airmasses = [0.2 * (t - t.min()) ** 2 for t in times] + bkgs = [ + tinygp.GaussianProcess( + tinygp.kernels.quasisep.SHO(20, 1, 0.005), t, diag=(1e-4) ** 2 + ).sample(jax.random.PRNGKey(i)) + for i, t in enumerate(times) + ] + fwhms = [ + tinygp.GaussianProcess( + tinygp.kernels.quasisep.SHO(45, 1, 0.005), t, diag=(5e-4) ** 2 + ).sample(jax.random.PRNGKey(i)) + for i, t in enumerate(times) + ] + + transits = np.split( + true["depth"] * transit_protopapas(time, 0.3, true["D"], true["P"]), idxs + ) + + systematics = [ + 0.2 * np.random.normal(0, 0.9, 3) @ np.vstack([airmasses[i], bkgs[i], fwhms[i]]) + for i in range(N) + ] + + fluxes = [systematics[i] + variabilities[i] + transits[i] + 1.0 for i in range(N)] + + fluxes = [f - np.median(f) + 1.0 for f in fluxes] + + observations = [ + { + "time": times[i], + "flux": fluxes[i], + "error": np.ones_like(times[i]) * error, + "airmass": airmasses[i], + "bkg": bkgs[i], + "fwhm": fwhms[i], + } + for i in range(N) + ] + + signals = { + "transits": transits, + "variabilities": variabilities, + "systematics": systematics, + "transit_params": true, + } + + return observations, signals diff --git a/pyproject.toml b/pyproject.toml index 34de863..506fdeb 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,6 +1,6 @@ [tool.poetry] name = "nuance" -version = "0.4.0" +version = "0.5.1" description = "Transit signals detection among correlated noises" authors = ["Lionel Garcia"] license = "MIT" diff --git a/tests/test_full.py b/tests/test_full.py index f5826e0..9450807 100644 --- a/tests/test_full.py +++ b/tests/test_full.py @@ -1,4 +1,9 @@ import numpy as np +import os +import jax + +jax.config.update("jax_enable_x64", True) +os.environ["XLA_FLAGS"] = f"--xla_force_host_platform_device_count={os.cpu_count()}" from nuance import CombinedNuance, Nuance, utils