{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "dfr76nzdJMrp" }, "source": [ "**What is this?**\n", "\n", "\n", "*This jupyter notebook is part of a collection of notebooks on various topics discussed during the Time Domain Astrophysics course delivered by Stefano Covino at the [Università dell'Insubria](https://www.uninsubria.eu/) in Como (Italy). Please direct questions and suggestions to [stefano.covino@inaf.it](mailto:stefano.covino@inaf.it).*" ] }, { "cell_type": "markdown", "metadata": { "id": "sR14FJ8NJMrt" }, "source": [ "**This is a `Python` notebook**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![Time Domain Astrophysics](Pics/TimeDomainBanner.jpg)" ] }, { "cell_type": "markdown", "metadata": { "id": "ogBXmpC94OFg" }, "source": [ "# Non-parametric periodograms \n", "***\n", "\n", "We computed a few different periodograms based on non-parametric methods as implemented in the [P4J library](https://github.com/phuijse/P4J) by [Pablo Huijse](mailto:pablo.huijse0gmail.com) et al." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "executionInfo": { "elapsed": 3065, "status": "ok", "timestamp": 1716613799786, "user": { "displayName": "Stefano Covino", "userId": "15959824765269815362" }, "user_tz": -120 }, "id": "QWCFc1YV4OFj", "outputId": "680f0331-d0ab-40c2-cbea-bd9785e4330a" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "P4J version:\n", "1.0.0\n" ] } ], "source": [ "import numpy as np\n", "%matplotlib inline\n", "import matplotlib.pylab as plt\n", "from astropy.timeseries import LombScargle\n", "import P4J\n", "print(\"P4J version:\")\n", "print(P4J.__version__)" ] }, { "cell_type": "markdown", "metadata": { "id": "bqMxBI1b4OFl" }, "source": [ "## Generating a simple synthetic light curve\n", "***\n", "\n", "- Let's start creating an irregulary sampled time series using a harmonic model composed of three sine waves with an specified Signal to Noise Ratio S/N ratio. \n", " - We choose \"$2.0$\" as fudamental frequency, and produce a monitoring of \"$100.0$\", inverse units of the frequency, with $30$ points.\n", " \n", "- And let's give a look at the light-curve and at the folded version." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 383 }, "executionInfo": { "elapsed": 2219, "status": "ok", "timestamp": 1716613806177, "user": { "displayName": "Stefano Covino", "userId": "15959824765269815362" }, "user_tz": -120 }, "id": "paN3RW6r4OFl", "outputId": "89d236e4-b39a-45f1-b22b-a9092806455f" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fundamental_freq = 2.0\n", "lc_generator = P4J.synthetic_light_curve_generator(T=100.0, N=30, rseed=21)\n", "lc_generator.set_model(f0=fundamental_freq, A=[1.0, 0.5, 0.25])\n", "mjd, mag, err = lc_generator.draw_noisy_time_series(SNR=5.0, red_noise_ratio=0.25, outlier_ratio=0.0)\n", "c_mjd, c_mag = lc_generator.get_clean_signal()\n", "\n", "fig = plt.figure(figsize=(12, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.errorbar(mjd, mag, err, fmt='.')\n", "ax.set_xlabel('Time [d]')\n", "ax.set_title('Time series')\n", "plt.grid()\n", "ax = fig.add_subplot(1, 2, 2)\n", "phase = np.mod(mjd, 1.0/fundamental_freq)*fundamental_freq\n", "index = np.argsort(phase)\n", "ax.errorbar(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n", " np.concatenate([mag[index], mag[index]]),\n", " np.concatenate([err[index], err[index]]), fmt='.', alpha=1.0, label='Noisy data')\n", "ax.plot(np.concatenate([np.sort(phase)-0.5, np.sort(phase)+0.5]),\n", " np.concatenate([c_mag[index], c_mag[index]]),\n", " linewidth=8, alpha=0.5, label='Underlying model')\n", "plt.legend()\n", "ax.set_xlabel('Phase')\n", "ax.set_title('Folded time series')\n", "plt.grid()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> The simulated data are sufficiently close to a real dataset with a modest number of heteroscedastic observations carried out when possible, i.e. irregularly during the \"source\" monitoring." ] }, { "cell_type": "markdown", "metadata": { "id": "yVAIvAk19T_L" }, "source": [ "## Finding the best frequency/period using a Lomb-Scargle algorithm\n", "***\n", "\n", "- Before moving to non-parametric methods let's analyse our time-series with the standard algorithm for irregularly sampled time-series: the Lomb-Scargle (LS) algorithm.\n", "\n", "- Let's remind us that for evenly sampled light-curves the LS reduces to the plain discrete Fourier transform." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 589 }, "executionInfo": { "elapsed": 1001, "status": "ok", "timestamp": 1716613811923, "user": { "displayName": "Stefano Covino", "userId": "15959824765269815362" }, "user_tz": -120 }, "id": "iQ1pPYcu9T_M", "outputId": "d384d199-9519-40b6-eb0f-5f12c9c4393b" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frequencyLS = np.linspace(0.1,5.,int(round(10000/5.)))\n", "powerLS = LombScargle(mjd, mag, err).power(frequencyLS,normalization='standard')\n", "best_frequency = frequencyLS[np.argmax(powerLS)]\n", "#\n", "p = plt.figure(figsize=(8,6))\n", "plt.xlabel(\"Frequency\")\n", "plt.ylabel(\"Power\")\n", "plt.title(\"LS periodogram\")\n", "plt.plot(frequencyLS,powerLS)\n", "plt.plot([best_frequency, best_frequency], [0, 1], linewidth=8, alpha=0.2, color='orange');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- We see immediately that the LS periodogram indeed does show a peak at the expected frequency.\n", " - Yet, even without a detailed statistical analysis, it is clear that its significance, compared to the several other peaks of similar power (the scale is linear) should likely be modest.\n", " \n", "> The LS periodogram in this rather typical (although, by no means, simple) case yields difficult to interpret results. We now move to non-parametric tools." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phase dispersion minimization (PDM)\n", "***\n", "\n", "- First, we try to apply one of the most widely knwon parametric method: the PDM.\n", "\n", "- Of course, let's assumme that we do not know the best frequency for this time series. \n", "\n", "- To find it, we sweep over a linear array of frequencies and find the ones that optimize the selected criterion. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_per = P4J.periodogram(method='PDM1') # Phase Dispersion Minimization\n", "\n", "my_per.set_data(mjd, mag, err)\n", "my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n", "my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n", "freq, per = my_per.get_periodogram()\n", "fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n", "\n", "fig = plt.figure(figsize=(12, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(freq, per)\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n", "ax.set_ylim([ymin, ymax])\n", "ax.set_xlabel('Frequency [1/MJD]')\n", "ax.set_ylabel('Periodogram')\n", "plt.title('PDM Periodogram')\n", "plt.grid()\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n", "idx = np.argsort(phase)\n", "ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n", " np.concatenate([mag[idx], mag[idx]]),\n", " np.concatenate([err[idx], err[idx]]), fmt='.')\n", "plt.title('Best period')\n", "ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n", "ax.set_ylabel('Magnitude')\n", "plt.grid()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The PDM algorithm cannot recover the right input frequency as the highest peak in the periodogram.\n", "\n", "- The situation is indeed analogius to what we saw for the LS periodogram. Several peaks of similar power are present making the interpretation of the periodogram difficult.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lafler-Kinman's string length\n", "***\n", "\n", "- This is one of the possible variants of string-length methods" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_per = P4J.periodogram(method='LKSL') # Lafler-Kinman's string length\n", "\n", "my_per.set_data(mjd, mag, err)\n", "my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n", "my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n", "freq, per = my_per.get_periodogram()\n", "fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n", "\n", "fig = plt.figure(figsize=(12, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(freq, per)\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n", "ax.set_ylim([ymin, ymax])\n", "ax.set_xlabel('Frequency [1/MJD]')\n", "ax.set_ylabel('Periodogram')\n", "plt.title('LSKL Periodogram')\n", "plt.grid()\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n", "idx = np.argsort(phase)\n", "ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n", " np.concatenate([mag[idx], mag[idx]]),\n", " np.concatenate([err[idx], err[idx]]), fmt='.')\n", "plt.title('Best period')\n", "ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n", "ax.set_ylabel('Magnitude')\n", "plt.grid()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Again, in spite of the fact that a peak at the right frequency is present, theere are several peaks of comparable power." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## AoV analysis\n", "***" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "my_per = P4J.periodogram(method='MHAOV') # Multi-harmonic Analysis of Variance\n", "\n", "my_per.set_data(mjd, mag, err)\n", "my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n", "my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n", "freq, per = my_per.get_periodogram()\n", "fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n", "\n", "fig = plt.figure(figsize=(12, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(freq, per)\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n", "ax.set_ylim([ymin, ymax])\n", "ax.set_xlabel('Frequency [1/MJD]')\n", "ax.set_ylabel('Periodogram')\n", "plt.title('AOV Periodogram')\n", "plt.grid()\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n", "idx = np.argsort(phase)\n", "ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n", " np.concatenate([mag[idx], mag[idx]]),\n", " np.concatenate([err[idx], err[idx]]), fmt='.')\n", "plt.title('Best period')\n", "ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n", "ax.set_ylabel('Magnitude')\n", "plt.grid()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Now the peak is at the right period, but there are several peaks os similar power." ] }, { "cell_type": "markdown", "metadata": { "id": "ap27b9Cn4OFm" }, "source": [ "## Finding the best frequency/period using P4J\n", "***\n", "\n", "Now let's assumme that we do not know the best frequency for this time series. To find it, we sweep over a linear array of frequencies and find the ones that optimize the selected criterion. In this case we recover the 10 local optima of the quadratic mutual information periodogram. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 384 }, "executionInfo": { "elapsed": 1284, "status": "ok", "timestamp": 1716613818042, "user": { "displayName": "Stefano Covino", "userId": "15959824765269815362" }, "user_tz": -120 }, "id": "fwmES2D44OFn", "outputId": "3e921de1-7d97-40a5-88e5-805af11b9bf7", "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#my_per = P4J.periodogram(method='LKSL') # Lafler-Kinman's string length\n", "#my_per = P4J.periodogram(method='PDM1') # Phase Dispersion Minimization\n", "#my_per = P4J.periodogram(method='MHAOV') # Multi-harmonic Analysis of Variance\n", "#my_per = P4J.periodogram(method='QME') # Quadratical mutual entropy or total correlation\n", "#my_per = P4J.periodogram(method='QMICS') # Quadratic mutual information (QMI) based on Cauchy Schwarz distance\n", "my_per = P4J.periodogram(method='QMIEU') # QMI based on Euclidean distance\n", "\n", "my_per.set_data(mjd, mag, err)\n", "my_per.frequency_grid_evaluation(fmin=0.0, fmax=5.0, fresolution=1e-3) # frequency sweep parameters\n", "my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=10)\n", "freq, per = my_per.get_periodogram()\n", "fbest, pbest = my_per.get_best_frequencies() # Return best n_local_optima frequencies\n", "\n", "fig = plt.figure(figsize=(12, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "ax.plot(freq, per)\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([fbest[0], fbest[0]], [ymin, ymax], linewidth=8, alpha=0.2)\n", "ax.set_ylim([ymin, ymax])\n", "ax.set_xlabel('Frequency [1/MJD]')\n", "ax.set_ylabel('QMI Periodogram')\n", "plt.title('Periodogram')\n", "plt.grid()\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "phase = np.mod(mjd, 1.0/fbest[0])*fbest[0]\n", "idx = np.argsort(phase)\n", "ax.errorbar(np.concatenate([np.sort(phase), np.sort(phase)+1.0]),\n", " np.concatenate([mag[idx], mag[idx]]),\n", " np.concatenate([err[idx], err[idx]]), fmt='.')\n", "plt.title('Best period')\n", "ax.set_xlabel('Phase @ %0.5f [1/d], %0.5f [d]' %(fbest[0], 1.0/fbest[0]))\n", "ax.set_ylabel('Magnitude')\n", "plt.grid()\n", "plt.tight_layout();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- This algorithm not only identfies the right frequency, but it is clearly producing a neat result with a dominant peak, compared to the rest of the periodogram, art the expected frequency." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true, "id": "4fCJCBhX4OFo", "jupyter": { "outputs_hidden": true } }, "source": [ "## Significance of the detected period\n", "***\n", "\n", "- For a periodic time series with an oscillation frequency $f$, its periodogram will exhibit a peak at $f$ with high probability. \n", " - But the inverse is not necessarily true, a peak in the periodogram does not imply that the time series is periodic. Spurious peaks may be produced by measurement errors, random fluctuations, aliasing or noise.\n", "\n", "- Among the various possibilities, we can test if the candidate frequencies (periodogram peaks) are statistically significant using bootstrap. \n", " - This gives a principled way to test wheter the light curve is periodic or not. \n", " - The core idea is to obtain the distribution of the maximum values of the periodogram on a set of surrogate light curves, obtained by random-resampling. \n", " \n", "- We can heuristically descrve the general procedure as follows:\n", "\n", "\n", "- Assume, as the null hypothesis, that the light curve is not periodic.\n", " 1. Generate surrogate light curves that comply with the null hypothesis.\n", " 2. Compute the periodogram for each surrogate and save the maxima.\n", " 3. Fit a extreme value probability density function (PDF) to the surrogate's maxima.\n", " 4. For a given significance level (p-value) $\\alpha$, i.e. the probability of rejecting the null hypothesis when it is actually true, obtain the associated confidence level from the fitted PDF. \n", " 5. If the candidate frequency has a periodogram value greater than the confidence level then you can reject the null hypothesis (for the selected $\\alpha$)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "DYePMlJi4OFp" }, "outputs": [], "source": [ "# TODO: Create bootstrap class with iid bootstrap, moving block bootstrap, write proper documentation and debug this!\n", "def block_bootstrap(mjd, mag, err, block_length=10.0, rseed=None):\n", " np.random.seed(rseed)\n", " N = len(mjd)\n", " mjd_boot = np.zeros(shape=(N, ))\n", " mag_boot = np.zeros(shape=(N, ))\n", " err_boot = np.zeros(shape=(N, ))\n", " k = 0\n", " last_time = 0.0\n", " for max_idx in range(2, N):\n", " if mjd[-1] - mjd[-max_idx] > block_length:\n", " break\n", " while k < N:\n", " idx_start = np.random.randint(N-max_idx-1)\n", " for idx_end in range(idx_start+1, N):\n", " if mjd[idx_end] - mjd[idx_start] > block_length or k + idx_end - idx_start >= N-1:\n", " break\n", " #print(\"%d %d %d %d\" %(idx_start, idx_end, k, k + idx_end - idx_start))\n", " mjd_boot[k:k+idx_end-idx_start] = mjd[idx_start:idx_end] - mjd[idx_start] + last_time\n", " mag_boot[k:k+idx_end-idx_start] = mag[idx_start:idx_end]\n", " err_boot[k:k+idx_end-idx_start] = err[idx_start:idx_end]\n", " last_time = mjd[idx_end] - mjd[idx_start] + last_time\n", " k += idx_end - idx_start\n", " return mjd_boot, mag_boot, err_boot" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "J_TGn-vz4OFq" }, "outputs": [], "source": [ "# We will use 200 surrogates and save 20 local maxima per light curve\n", "pbest_bootstrap = np.zeros(shape=(200, 20))\n", "for i in range(pbest_bootstrap.shape[0]):\n", " # P = np.random.permutation(len(mjd))\n", " # my_per.set_data(mjd, mag[P], err[P]) # IID bootstrap\n", " mjd_b, mag_b, err_b = block_bootstrap(mjd, mag, err, block_length=0.9973)\n", " my_per.set_data(mjd_b, mag_b, err_b)\n", " my_per.frequency_grid_evaluation(fmin=0.0, fmax=4.0, fresolution=1e-3)\n", " my_per.finetune_best_frequencies(fresolution=1e-4, n_local_optima=pbest_bootstrap.shape[1])\n", " _, pbest_bootstrap[i, :] = my_per.get_best_frequencies()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generalized extreme value distribution\n", "***\n", "\n", "- As for any Monte Carlo method, we need to run a sufficiently large number of simulated events (i.e., light curves) to allow a well defined inference.\n", "\n", "- Let'assume, for instance, that we run 100 simulations and discover that the power measured from the periodogram obtained by the real data is, say, at a level wehere $\\sim 20$\\% of simulated periodograms show a higher power. \n", " - This clearly indicates we cannot reject the null-hypotesis.\n", " \n", "- However, it might also happens that the power from the real periodogram is higher than $99$\\% of the simulated power. Now, with just 100 simulations we are in a situation where detailed evalutation of the false alarm probability is dominated by low.statistics, and we need to run more simulations, probaly a thousands or so.\n", "\n", "- In any case, if we need to sample accurately the extreme tail of the distribution we quickly need to increase the number of simulations and this might well become a bottle-neck for the whole procedure.\n", "\n", "- This problem has been addressed by [Süveges (2014)](https://ui.adsabs.harvard.edu/abs/2014MNRAS.440.2099S/abstract). The abstract of the paper readds:\n", "\n", "*I propose a new procedure to estimate the false alarm probability, the measure of significance for peaks of periodograms. The key element of the new procedure is the use of generalized extreme-value distributions, the limiting distribution for maxima of variables from most continuous distributions. This technique allows reliable extrapolation to the very high probability levels required by multiple hypothesis testing, and enables the derivation of confidence intervals for the estimated levels. [...]*\n", "\n", "### The algorithm\n", "***\n", "\n", "- The idea behind the use of the [Generalized extreme distribution (GED)](https://en.wikipedia.org/wiki/Generalized_extreme_value_distribution) is relatively simple.\n", "\n", "- The general principles of the detection are those of statistical hypothesis testing and model selection. A null hypothesis $H_0$ of no periodic signal in the observed time series is tested against the alternative of the presence of a periodic deterministic component.\n", "\n", "- The alternative hypothesis is formalized by a series of more complex models $M_f$ indexed by thefrequency $f$, consisting of a periodic signal at $f$ and noise. \n", "\n", "- Both the null model $M_0$ and the collection $M_f$ are fitted to the data, and a test statistic $\\Theta(f)$ is computed for all models, which quantifies the improvement yielded by $M_f$ over $M_0$. \n", " - This collection of test statistics as a function of $f$ is called the periodogram. \n", " \n", "- The frequency at which the largest improvement is achieved is accepted as the most likely frequency of a potential periodic component. Then the decision, whether the object shows a periodic oscillation or not, is based on the significance assessment of the model improvement: the probability is computed that the found periodogram maximum or a higher value is produced under the null hypothesis. This probability is termed the false alarm probability (FAP).\n", "\n", "- This assessment is a multiple testing situation: as we do not know the frequency of the sought oscillation in advance, we compute the test statistic often at hundreds of thousands of frequencies. \n", " - Thus, the single-value distribution $F$ (the marginal distribution) of the individual test statistics is not directly applicable to compute the FAP. Instead, we must find the distribution $G$ of the maximum of a large set of test statistics.\n", " \n", "- The idea which is most commonly used in astronomy to obtain $G$ and the FAP is based on elementary probability calculations for the maxima of $M$ independent variables with common distribution function $F$, yielding the formula $G(z) = F(z)^M$. \n", " - We have seen this discussion when we introduced the discrete Fourier transform and Lomb_scargle periosdograms and their statistics.\n", "\n", "- In spite ot its simplicity, there are several issues in practical applications. The form $F(z)^M$ requires an estimate of $M$, often called the number of independent frequencies in the periodogram, which is time-consuming to produce, and needs a good knowledge about the marginal distribution $F$ of the periodogram.\n", "\n", "- In order to avoid the shortcomings of the formula $F(z)^M$ it is proposed to apply the extreme-value statistics.\n", "\n", "- Statistical theory proved that a suitable regularization of the observed maxima leads to a simple three-parameter limiting distribution, called the generalized extreme-value family (GEV) that provides a regular approximation to the distribution of maxima of random variables, similarly to the central limit theorem for the sum or the mean of a collection of random variables. \n", " - The validity range of this limit theorem is very broad: it encompasses practically all continuous distributions and dependent variables too, under some mild conditions.\n", " \n", "- The procedure proposed here fits a GEV model to the tail of the distribution of the periodogram under the null hypothesis that the time series is white noise.\n", "\n", "$$ G(z) = Pr\\{Z_{\\rm max,n} \\le z\\} = \\exp\\{ -(1+\\xi \\frac{z-\\mu}{\\sigma})^{-1/\\xi} \\} $$\n", "\n", "where $z$ is such that $1+\\xi(z-\\mu)/\\sigma > 0$. If $\\xi \\rightarrow 0$ the distribution is known as [Gumbel distribution](https://en.wikipedia.org/wiki/Gumbel_distribution)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 316 }, "executionInfo": { "elapsed": 1303, "status": "ok", "timestamp": 1682676552261, "user": { "displayName": "Stefano Covino", "userId": "15959824765269815362" }, "user_tz": -120 }, "id": "85iIg6D74OFq", "outputId": "f9f19cdb-b462-4340-b1a7-c56b8ce5cb1a" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#from scipy.stats import gumbel_r # Gumbel right (for maxima), its has 2 parameters\n", "from scipy.stats import genextreme # Generalized extreme value distribution, it has 3 parameters\n", "\n", "param = genextreme.fit(pbest_bootstrap.ravel())\n", "rv = genextreme(c=param[0], loc=param[1], scale=param[2])\n", "x = np.linspace(rv.ppf(0.001), rv.ppf(0.999), 100)\n", "fig = plt.figure(figsize=(14, 4))\n", "ax = fig.add_subplot(1, 2, 1)\n", "_ = ax.hist(pbest_bootstrap.ravel(), bins=20, density=True, alpha=0.2, label='Peak\\'s histogram')\n", "ax.plot(x, rv.pdf(x), 'r-', lw=5, alpha=0.6, label='Fitted Gumbel PDF')\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([pbest[0], pbest[0]], [ymin, ymax], '-', linewidth=4, alpha=0.5, label=\"Max per value\")\n", "for p_val in [1e-2, 1e-1]:\n", " ax.plot([rv.ppf(1.-p_val), rv.ppf(1.-p_val)], [ymin, ymax], '--', linewidth=4, alpha=0.5, label=str(p_val))\n", "ax.set_ylim([ymin, ymax])\n", "plt.xlabel('Periodogram value'); plt.legend()\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "ax.plot(freq, per)\n", "ymin, ymax = ax.get_ylim()\n", "ax.plot([fbest[0], fbest[0]], [ymin, ymax], '-', linewidth=8, alpha=0.2)\n", "# Print confidence bars\n", "xmin, xmax = ax.get_xlim()\n", "for p_val in [1e-2, 1e-1]:\n", " ax.plot([xmin, xmax], [rv.ppf(1.-p_val), rv.ppf(1.-p_val)], '--', linewidth=4, alpha=0.5, label=str(p_val))\n", "ax.set_xlim([xmin, xmax]); ax.set_ylim([ymin, ymax])\n", "ax.set_xlabel('Frequency [1/d]'); ax.set_ylabel('Periodogram')\n", "plt.grid(); plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "id": "vYNPhyNy4OFr" }, "source": [ "### Notes\n", "***\n", "\n", "- In this example we used the the generalized extreme value (GEV) distribution to fit the periodogram peaks. The number of surrogates and amount of local maxima per surrogate should be set so that the fit looks good.\n", "\n", "- In IID bootstrap the data points are randomly sampled with replacement. The IID bootstrap destroys not only the periodicity but also any time correlation or structure in the time series. This results in underestimation of the confidence bars. \n", " - For data with serial correlations it is better to use moving block (MB) bootstrap. In MB bootstrap blocks of data of a given length are patched together to create a new time series. The block length is a parameter. Because light curves are irregularly sampled we set a block length in days rather than number of points. The ideal is to set the length so that it destroys the periodicity and preserves most of the serial correlation\n", "\n", "- Bootstrap applied to time series is discussed in [Bühlmann (2002) - \"Bootstraps for time series.\"](https://www.jstor.org/stable/3182810?casa_token=fuWC-ffm10sAAAAA%3A2PyzOtU2pxoXzaTaaYIaWjrCA3nokR5BjvLdggYcci8Rn8G7UPz4ceMEXfuDOOHg1NtuVWO6ZMkXUjwJl5pLcKxt1ojZTK9WpgrjJPdGsE6o83LjNcuG)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reference & Material\n", "***\n", "\n", "Material and papers related to the topics discussed in this lecture.\n", "\n", "- [Süveges (2014) - \"Extreme-value modelling for the significance assessment of periodogram peaks\"](https://ui.adsabs.harvard.edu/abs/2014MNRAS.440.2099S/abstract). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Credits\n", "***\n", "\n", "*This notebook is obtained and further elaborated from: https://github.com/phuijse/P4J/tree/master/examples*" ] }, { "cell_type": "markdown", "metadata": { "id": "U5CKLx__JMrz" }, "source": [ "## Course Flow\n", "***\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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\n" ] }, { "cell_type": "markdown", "metadata": { "id": "XEAJc_qt4OFr" }, "source": [ "**Copyright**\n", "***\n", "\n", "This notebook is provided as [Open Educational Resource](https://en.wikipedia.org/wiki/Open_educational_resources). Feel free to use the notebook for your own purposes. The text is licensed under [Creative Commons Attribution 4.0](https://creativecommons.org/licenses/by/4.0/), the code of the examples, unless obtained from other properly quoted sources, under the [MIT license](https://opensource.org/licenses/MIT). Please attribute the work as follows: *Stefano Covino, Time Domain Astrophysics - Lecture notes featuring computational examples, 2024*." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }