{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Converting Ensembles\n", "\n", "This notebook takes you through the process of converting Ensembles from one parameterization to another in detail, and covers some of the things to watch out for when converting. " ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [], "source": [ "import qp\n", "import numpy as np\n", "from scipy import stats\n", "import matplotlib.pyplot as plt " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First let's read in an Ensemble of Gaussian mixed model distributions. " ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Ensemble(the_class=mixmod,shape=(100, 3))" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ens = qp.read(\"../assets/test.hdf5\")\n", "ens" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have our Ensemble, let's take a look at a few of the distributions." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'P(x)')" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "axes[0].plot(ens.x_samples(),ens[2].pdf(ens.x_samples()))\n", "axes[1].plot(ens.x_samples(),ens[15].pdf(ens.x_samples()))\n", "axes[2].plot(ens.x_samples(),ens[53].pdf(ens.x_samples())) \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Converting to histograms and back" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's convert the Ensemble to histograms. We need to pick a set of bin edges that covers the whole range of values. Since `x_samples()` goes from (-3,3), we know that this range should cover the majority of distribution area for all of the distributions. However, for Gaussian mixed models it is possible for some of the distribution to be outside this range, particularly if it's the tail end. So let's add a bit on either side and do (-4,4) to make sure we cover the appropriate range. " ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [], "source": [ "bins = np.linspace(-4,4,41)\n", "ens_h = qp.convert(ens, \"hist\", bins=bins)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Converting from Gaussian mixed models to histograms')" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "\n", "# we use a bar to plot the histogram since we already have the histogram values\n", "axes[0].bar(ens_h.x_samples(),ens_h[2].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9) \n", "axes[0].plot(ens.x_samples(),ens[2].pdf(ens.x_samples()),c=\"k\")\n", "axes[1].bar(ens_h.x_samples(),ens_h[15].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9)\n", "axes[1].plot(ens.x_samples(),ens[15].pdf(ens.x_samples()),c=\"k\")\n", "axes[2].bar(ens_h.x_samples(),ens_h[53].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9, label=\"converted\")\n", "axes[2].plot(ens.x_samples(),ens[53].pdf(ens.x_samples()),c=\"k\", label=\"original\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Converting from Gaussian mixed models to histograms\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The conversion seems to have worked quite well. The distributions we looked at before match up almost perfectly. Now let's try converting these back to Gaussian mixed models to see if the conversion in the other direction works as well. The main parameter that is relevant for this conversion is how many Gaussians will be used for each distribution (`ncomps`). Let's go with the default value, 3, for now. " ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "ens_conv = qp.convert(ens_h,\"mixmod\",ncomps=3)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Converting histograms to Gaussian mixed models')" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "\n", "# we use a bar to plot the histogram since we already have the histogram values\n", "axes[0].bar(ens_h.x_samples(),ens_h[2].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9) \n", "axes[0].plot(ens_conv.x_samples(),ens_conv[2].pdf(ens_conv.x_samples()),c=\"k\")\n", "axes[1].bar(ens_h.x_samples(),ens_h[15].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9)\n", "axes[1].plot(ens_conv.x_samples(),ens_conv[15].pdf(ens_conv.x_samples()),c=\"k\")\n", "axes[2].bar(ens_h.x_samples(),ens_h[53].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9, label=\"original\")\n", "axes[2].plot(ens_conv.x_samples(),ens_conv[53].pdf(ens_conv.x_samples()),c=\"k\", label=\"converted\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Converting histograms to Gaussian mixed models\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our converted Gaussian mixed model distributions no longer match the histograms they were converted from as well. We can also compare them back to their original distributions to get a better sense of the differences:" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Comparison between converted distributions and originals')" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "axes[0].plot(ens.x_samples(),ens[2].pdf(ens.x_samples()))\n", "axes[0].plot(ens_conv.x_samples(),ens_conv[2].pdf(ens_conv.x_samples()),linestyle=\"--\")\n", "axes[1].plot(ens.x_samples(),ens[15].pdf(ens.x_samples()))\n", "axes[1].plot(ens_conv.x_samples(),ens_conv[15].pdf(ens_conv.x_samples()),linestyle=\"--\")\n", "axes[2].plot(ens.x_samples(),ens[53].pdf(ens.x_samples()), label=\"original\") \n", "axes[2].plot(ens_conv.x_samples(),ens_conv[53].pdf(ens_conv.x_samples()),linestyle=\"--\",label=\"converted\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Comparison between converted distributions and originals\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One factor here is that conversion to Gaussian mixture models requires an input number of Gaussian models per distribution (by default `ncomps = 3`). If not all of the distributions in your Ensemble contain the same number of Gaussian models (can be done by setting values to 0), then you can get overfitting of those that are best fit by fewer Gaussian models, as you can see happening in the plot on the right. \n", "\n", "Beyond this, even those distributions that clearly require more than one Gaussian have fits that depart from the original in some way. This is because the method used to convert to Gaussian mixture models takes samples from the input Ensemble distributions and then fits the sampled data. This method is inherently inconsistent, due to the random nature of sampling and the dependence on fitting algorithms. This means that converting to a Gaussian mixture model from the same Ensemble multiple times can give you different results each time.\n", "\n", "Let's explore some other conversion methods to see how they perform." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Converting to interpolations\n", "\n", "Interpolations are quite similar to histograms in terms of data structure. Converting to an interpolation requires a set of x values, and those x values need to cover the full range of all the distributions in the Ensemble. Let's use the same range and number of values as the histogram to convert to an interpolation, and take a look at our distributions." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "ens_i = qp.convert(ens_h,\"interp\",xvals=np.linspace(-4,4,40))" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Converting histograms to interpolation')" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "\n", "# we use a bar to plot the histogram since we already have the histogram values\n", "axes[0].bar(ens_h.x_samples(),ens_h[2].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9) \n", "axes[0].plot(ens_i.x_samples(),ens_i[2].pdf(ens_i.x_samples()),c=\"k\")\n", "axes[1].bar(ens_h.x_samples(),ens_h[15].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9)\n", "axes[1].plot(ens_i.x_samples(),ens_i[15].pdf(ens_i.x_samples()),c=\"k\")\n", "axes[2].bar(ens_h.x_samples(),ens_h[53].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9, label=\"original\")\n", "axes[2].plot(ens_i.x_samples(),ens_i[53].pdf(ens_i.x_samples()),c=\"k\", label=\"converted\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Converting histograms to interpolation\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not surprisingly, this conversion gives us a good match between the distributions. " ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [], "source": [ "ens_i_lowres = qp.convert(ens_h, \"interp\",xvals=np.linspace(-4,4,10))" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Converting to interpolation with fewer bins')" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "\n", "# we use a bar to plot the histogram since we already have the histogram values\n", "axes[0].bar(ens_h.x_samples(),ens_h[2].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9) \n", "axes[0].plot(ens_i_lowres.x_samples(),ens_i_lowres[2].pdf(ens_i_lowres.x_samples()),c=\"k\")\n", "axes[1].bar(ens_h.x_samples(),ens_h[15].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9)\n", "axes[1].plot(ens_i_lowres.x_samples(),ens_i_lowres[15].pdf(ens_i_lowres.x_samples()),c=\"k\")\n", "axes[2].bar(ens_h.x_samples(),ens_h[53].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9, label=\"original\")\n", "axes[2].plot(ens_i_lowres.x_samples(),ens_i_lowres[53].pdf(ens_i_lowres.x_samples()),c=\"k\", label=\"converted\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Converting to interpolation with fewer bins\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The converted distributions don't match up nearly as well when there are fewer x values. This is relevant for all of the three parameterizations that have a set of 'coordinates' and 'data points' - histogram, interpolation, and quantiles. So keep in mind not just that the range should cover the whole distribution, but also what the density of points along that distribution is like." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Converting to quantiles\n", "\n", "Let's test out how well converting a histogram to quantiles works. Once again we've got to make sure that the quantiles cover the whole distribution space, but this time the distribution space is the probability, not the x values. So the full range is in the interval (0,1). " ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/jscora/code/desc-rail/forked/qp/src/qp/parameterizations/quant/quant.py:147: RuntimeWarning: There are non-finite values in the locs for the distributions: [ 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11\n", " 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23\n", " 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35\n", " 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47\n", " 48 48 49 49 50 50 51 51 52 52 53 53 54 54 55 55 56 56 57 57 58 58 59 59\n", " 60 60 61 61 62 62 63 63 64 64 65 65 66 66 67 67 68 68 69 69 70 70 71 71\n", " 72 72 73 73 74 74 75 75 76 76 77 77 78 78 79 79 80 80 81 81 82 82 83 83\n", " 84 84 85 85 86 86 87 87 88 88 89 89 90 90 91 91 92 92 93 93 94 94 95 95\n", " 96 96 97 97 98 98 99 99]\n", " warnings.warn(\n" ] } ], "source": [ "ens_q = qp.convert(ens_h,\"quant\",quants=np.linspace(0,1,20))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This raises a warning that the locations of some of these probabilities are non-finite. This is because for Gaussian distributions, the location of a probability of 0 is usually positive or negative infinity. So instead, we're going to have to pick a value very close to 1 and very close to 0, and let the code extrapolate to 0 and 1 from there. \n", "\n", "\n", "For more details on what's happening here take a look at the [Quantile](../user_guide/parameterizations/quant.md) documentation. " ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "ens_q = qp.convert(ens_h, \"quant\", quants=np.linspace(0.01,0.99,20))" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0.98, 'Converting histograms to quantiles')" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,3, sharex=True, sharey = True, figsize=(13,4))\n", "\n", "\n", "# we use a bar to plot the histogram since we already have the histogram values\n", "axes[0].bar(ens_h.x_samples(),ens_h[2].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9) \n", "axes[0].plot(ens_q.x_samples(),ens_q[2].pdf(ens_q.x_samples()), c=\"k\", marker=\".\")\n", "axes[1].bar(ens_h.x_samples(),ens_h[15].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9)\n", "axes[1].plot(ens_q.x_samples(),ens_q[15].pdf(ens_q.x_samples()), c=\"k\", marker=\".\")\n", "axes[2].bar(ens_h.x_samples(),ens_h[53].pdf(ens_h.x_samples()), width=ens_h.x_samples()[1]-ens_h.x_samples()[0], alpha=0.9, label=\"original\")\n", "axes[2].plot(ens_q.x_samples(),ens_q[53].pdf(ens_q.x_samples()), c=\"k\", marker=\".\", label=\"converted\") \n", "axes[1].set_xlabel(\"x\")\n", "axes[0].set_ylabel(\"P(x)\")\n", "axes[2].legend(loc=\"best\")\n", "fig.suptitle(\"Converting histograms to quantiles\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we see here, the converted distributions match very well in the center of the distributions, but can be a bit rough at the edges. This is especially true because we picked a range from (0.01, 0.99) instead of (0,1). The closer you get to 0 and 1, the better those edges will be. " ] } ], "metadata": { "kernelspec": { "display_name": "qp", "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": 2 }