{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "view-in-github" }, "source": [ "\"Open" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "zDG3hKiVmHUW" }, "source": [ "# How to use pgmuvi - a brief introduction\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "hEyug9B9LHZC" }, "source": [ "`pgmuvi` is a package to infer the multiwavelength behaviour of astronomical lightcurves using Gaussian Processes. It uses the `torch` and `gpytorch` libraries to define GP models, and the probabilistic programming language `pyro` to perform optimisation and sampling of the parameter space.\n", "\n", "## Why pgmuvi\n", "\n", "Many packages exist to interpret lightcurves with GPs, so why do we need another one? `pgmuvi` builds on the latest highly-optimised libraries which allow inference with arbitrary GP kernels. This makes it feasible to implement models that are very general, which is important in astronomy where lightcurves can have a wide range of different properties. However, this normally results in a speed penalty, since naive GPs scale with $\\mathcal{O}\\left(n^3\\right)$; to combat this, the libraries implement scalable approaches to GP inference, such as GPU computing. This allows both a wide range of GP kernels and fast inference, meaning that `pgmuvi` can be applied to arbitrary astronomical lightcurves without taking _that much_ longer than codes which are restricted to special cases but blisteringly fast in those cases.\n", "\n", "## What does pgmuvi do\n", "\n", "The objective is to understand what the PSD of the variability is, and in the case of (quasi-)periodic variables determine their dominant periods. To do this, `pgmuvi` uses a `SpectralMixtureKernel`, which models the PSD of the covariances of the GP as a Gaussian Mixture model. This is a very flexible model which is able to represent a wide range of different kinds of behaviour, so can be useful for a wide range of astronomical lightcurves.\n", "\n", "## How to use pgmuvi\n", "\n", "The rest of this notebook is basically a quickstart guide to `pgmuvi`. It generates sythetic observations, but you can replace these with reading in your own data and passing it to `pgmuvi`'s `Lightcurve` classes to apply it to your own data." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "Q1SU6ncv7BtF", "outputId": "196f7bc8-0df8-4ec0-95eb-bfb4356b9aa7" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "c:\\Users\\peter\\anaconda3\\envs\\pgmuvi_dev\\Lib\\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" ] } ], "source": [ "try: #This won't work right now - instead clone the repository and `pip install -e .`\n", " import pgmuvi\n", "except ImportError:\n", " %pip install git+https://github.com/ICSM/pgmuvi.git\n", " import pgmuvi" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "G9zGgK85MpGK" }, "source": [ "Now we have imported/installed pgmuvi, we can use it to fit some data. For the purposes of this tutorial, we will generate two synthetic datasets - a single-wavelength lightcurve with very simple behaviour, and a second multi-wavelength one with some more complex patterns in it. It is important to note that the data must be in the form of `torch` tensors, rather than numpy arrays or other data types." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "l7iXofH7Nbz_", "outputId": "c837d540-5ab7-49e8-d439-ab031c2bea84" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True period: 191.5409470071357 days\n", "Simulating for 8.421414540479153 periods\n" ] } ], "source": [ "import torch\n", "import gpytorch\n", "import numpy as np\n", "\"\"\" Let's generate some synthetic data from a perturbed sine curve\n", " but on the same time sampling as the real data\"\"\"\n", "\n", "P = np.random.uniform(30, 300)#137. #Days!\n", "print(\"True period: \",P,\" days\")\n", "n_data = 400\n", "jd_min = 2450000\n", "n_periods = np.random.uniform(3,10)\n", "jd_max = jd_min + P*(n_periods)\n", "print(\"Simulating for \",n_periods,\" periods\")\n", "\n", "#train_mag =\n", "#train_mag = train_mag + 0.1*torch.randn_like(train_mag)\n", "#train_mag_err = 0.1*train_mag\n", "\n", "period_guess = P*(np.random.uniform()+0.5)#147 #this number is in the same units as our original input.\n", "\n", "#generate data from a simple case - superimpose two sine curves and add noise\n", "timestamps_1d = torch.Tensor(np.random.uniform(jd_min, jd_max, size=n_data))#generate random x data here\n", "fluxes_1d = torch.sin(timestamps_1d*(2*np.pi/P))#generate random y data here\n", "fluxes_1d += 0.1*torch.randn_like(fluxes_1d)\n", "flux_err_1d = 0.1*fluxes_1d.abs()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "jP7ZjHrTOaWp" }, "source": [ "Now that we've got some simple data, we can feed it to pgmuvi and see how it handles it." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "L1GzKnLJOzHh" }, "outputs": [], "source": [ "from pgmuvi.lightcurve import Lightcurve\n", "\n", "lightcurve_1d = Lightcurve(timestamps_1d, fluxes_1d, yerr = flux_err_1d, xtransform='minmax')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "m06s-TKiPtfL" }, "source": [ "The `xtransform` argument is important. The computing time and numerical stability of this GP model depends somewhat on the range of frequencies it is asked to compute the PSD on, so it is common to transform the inputs to some simple interval that ensures the frequencies are easier. Astronomical timeseries often cover very long times, and therefore very low frequencies if left in their original units (e.g. Julian Dates), which are particularly difficult to compute on. By default, `Lightcurve` therefore transforms the data so that it is in the closed interval $\\left[0, 1\\right]$, although other transformations (or none) can be defined by the user.\n", "\n", "Now that we have a lightcurve, we can try to fit it:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "qV5QuLYdPwTx", "outputId": "18f0c945-f9b2-4951-a3b7-d75e1d883072" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "likelihood.second_noise_covar.noise: tensor([0.3597])\n", "mean_module.constant: 0.0032720565795898438\n", "covar_module.mixture_weights: tensor([0.7194])\n", "covar_module.mixture_means: tensor([[[1.1094]]])\n", "covar_module.mixture_scales: tensor([[[0.0007]]])\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/3000 [00:00" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lightcurve_1d.plot(save=False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "ZQHFjRrAQzsD" }, "source": [ "or the maximum a-posteriori PSD that pgmuvi has inferred (this can be very slow!)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 169 }, "id": "CzIGiIXKQ5Td", "outputId": "4271fa98-6e62-4c1c-d48a-db81dc03572a" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([1.2404e-06], grad_fn=) 0.25 8.0\n", "torch.Size([6448687])\n", "torch.Size([6448687]) torch.Size([1, 1, 1]) torch.Size([1, 1, 1]) torch.Size([1])\n", "Normal(loc: tensor([[[0.0061]]]), scale: tensor([[[6.2018e-06]]]))\n", "torch.Size([1, 6448687, 1])\n", "torch.Size([6448687])\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lightcurve_1d.plot_psd()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "However, this fit wasn't particularly good! This is because we didn't specify any initial guesses for the hyperparameters, and the default values are not very good for this dataset. We can try again with some better guesses:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "likelihood.second_noise_covar.noise: tensor([0.0007])\n", "mean_module.constant: 0.0040171146392822266\n", "covar_module.mixture_weights: tensor([0.4025])\n", "covar_module.mixture_means: tensor([[[0.0061]]])\n", "covar_module.mixture_scales: tensor([[[6.2018e-06]]])\n", "208.43243643790515\n", "likelihood.second_noise_covar.noise: tensor([0.1000])\n", "mean_module.constant: 0.0040171146392822266\n", "covar_module.mixture_weights: tensor([0.4025])\n", "covar_module.mixture_means: tensor([[[0.0048]]])\n", "covar_module.mixture_scales: tensor([[[6.2018e-06]]])\n" ] } ], "source": [ "lightcurve_1d.print_parameters()\n", "print(period_guess)\n", "guess = {'likelihood.second_noise_covar.noise': torch.Tensor([0.1]),\n", " 'sci_kernel.mixture_means': torch.Tensor([1/period_guess]),}\n", "lightcurve_1d.set_hypers(guess)\n", "lightcurve_1d.print_parameters()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We printed the parameters before and after setting them to see how they have changed. As we can see, they were updated as instructed. Now we can try to fit again:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "likelihood.second_noise_covar.noise: tensor([0.1000])\n", "mean_module.constant: 0.0040171146392822266\n", "covar_module.mixture_weights: tensor([0.4025])\n", "covar_module.mixture_means: tensor([[[0.0048]]])\n", "covar_module.mixture_scales: tensor([[[6.2018e-06]]])\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 3000/3000 [00:31<00:00, 95.25it/s] " ] }, { "name": "stdout", "output_type": "stream", "text": [ "loss: [-0.38250878]\n", "delta_loss: [0.001378]\n", "likelihood.second_noise_covar.noise: tensor([0.0008])\n", "mean_module.constant: tensor([0.0086])\n", "covar_module.mixture_weights: tensor([0.4874])\n", "covar_module.mixture_means: tensor([0.0061])\n", "covar_module.mixture_scales: tensor([2.2201e-06])\n", "Period 0: [164.3615] weight: 0.4874323606491089\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "\n", "new_fit = lightcurve_1d.fit(training_iter=3000, miniter=3000)\n", "lightcurve_1d.print_results()\n", "lightcurve_1d.print_periods()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This results in a much better fit, as you can see:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lightcurve_1d.plot(save=False)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can look at the new PSD, but again this can take a very long time!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "tensor([4.4402e-07], grad_fn=) 0.25 8.0\n", "torch.Size([18014418])\n", "torch.Size([18014418]) torch.Size([1, 1, 1]) torch.Size([1, 1, 1]) torch.Size([1])\n", "Normal(loc: tensor([[[0.0061]]]), scale: tensor([[[2.2201e-06]]]))\n", "torch.Size([1, 18014418, 1])\n", "torch.Size([18014418])\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lightcurve_1d.plot_psd(log=(True, True), truncate_psd=True, debug=True)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can also look at the periods that came out of it:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([array([164.3615], dtype=float32)],\n", " [tensor(0.4874, grad_fn=)],\n", " [array([71688.92], dtype=float32)])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lightcurve_1d.get_periods()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "And look at the frequency that we used as our guess of the period:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.004797717750125296" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "1/period_guess" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we will take a look at another slightly more advanced topic - setting constraints on the parameters. \n", "`pgmuvi` tries to make this easy for you, by providing a convenient method `lightcurve1d.set_constraint()`. \n", "However, there are a few caveats in using it.\n", "\n", "Adjusting the constraints on the parameters will not change the values of the internal representation that `gpytorch` uses for the parameters. \n", "*This will lead to the seemingly odd behaviour that updating the constraints will change the reported values of the parameters!*\n", "This is because `gpytorch` works with an internal representation of the parameters in an unconstrained space, and the constraints are really a transformation from the unconstrained space to a constrained space.\n", "This is done because the unconstrained space is easier to optimise in, and the constraints are applied to transform them to values that are meaningful for the model.\n", "As a result, if you want to update the constraints, **you must set the values of the parameters again afterwards!**\n", "Perhaps even more importantly, if you are updating constraints after performing a fit (as we are here) and want to keep the final state of the parameters, you should save the final state of the parameters, update the constraints, and then set the parameters to the saved values. \n", "To demonstrate this, we will go through a few of the examples of this here." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'likelihood.second_noise_covar.noise': tensor([0.0008]), 'mean_module.constant': tensor(0.0086), 'covar_module.mixture_weights': tensor([0.4874]), 'covar_module.mixture_means': tensor([[[0.0061]]]), 'covar_module.mixture_scales': tensor([[[2.2201e-06]]])}\n" ] } ], "source": [ "# first, let's save the final values of the parameters\n", "pars = lightcurve_1d.get_parameters()\n", "print(pars)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we can set some constraints on the parameters. \n", "If you're running this yourself, remember to check that the ranges of the constraints include the values of the parameters that were found in the fit!\n", "Otherwise you will get an error when you try to set the parameters to the values found in the fit." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# now, let's update some constraints!\n", "const_dict = {'likelihood.second_noise_covar.noise': gpytorch.constraints.Interval(0.001, 0.15),\n", " 'mean_module.constant': gpytorch.constraints.Interval(-0.1, 0.1),\n", " 'covar_module.mixture_means': gpytorch.constraints.Interval(1/1000., 1/10.),\n", " 'covar_module.mixture_scales': gpytorch.constraints.Interval(1e-6, 0.2),\n", "}\n", "lightcurve_1d.set_constraint(const_dict, debug=True)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now we've updated the constraints, let's see what has happened to the parameters:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "likelihood.second_noise_covar.noise: tensor([0.0008])\n", "mean_module.constant: 0.008574962615966797\n", "covar_module.mixture_weights: tensor([0.4874])\n", "covar_module.mixture_means: tensor([[[0.0061]]])\n", "covar_module.mixture_scales: tensor([[[2.2201e-06]]])\n" ] } ], "source": [ "lightcurve_1d.print_parameters()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see these are different to those we found above. Let's see what happens if we set the parameters to the values we found above:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "lightcurve_1d.set_hypers(pars, debug=True)\n", "lightcurve_1d.print_parameters()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Now they should be back to normal! Let's see what happens if we try to fit again:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "fit = lightcurve_1d.fit(training_iter=3000, miniter=3000)\n", "lightcurve_1d.print_results()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lightcurve_1d.plot()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "([array([164.3615], dtype=float32)],\n", " [tensor(0.4874, grad_fn=)],\n", " [array([71688.92], dtype=float32)])" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lightcurve_1d.get_periods()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "You can see that the best-fit period has changed slightly. This is because the constraints we set are not exactly the same as the ones we used in the fit, so the optimiser is not able to find exactly the same solution. However, it is very close, and the fit is still very good." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This is the end of this example. You can find more information in the other example notebooks, for example on how to use MCMC to sample the posterior distribution of the parameters, or how to fit multi-wavelength lightcurves." ] } ], "metadata": { "colab": { "include_colab_link": true, "provenance": [] }, "kernelspec": { "display_name": "Python 3", "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 0 }