{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(bayes_param_survival)=\n", "\n", "# Bayesian Parametric Survival Analysis" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/osvaldo/proyectos/00_BM/arviz-devs/arviz/arviz/__init__.py:30: FutureWarning: \n", "ArviZ is undergoing a major refactor to improve flexibility and extensibility while maintaining a user-friendly interface.\n", "Some upcoming changes may be backward incompatible.\n", "For details and migration guidance, visit: https://python.arviz.org/en/stable/user_guide/migration_guide.html\n", " warnings.warn(\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC v5.26.1\n" ] } ], "source": [ "import warnings\n", "\n", "import arviz.preview as az\n", "import numpy as np\n", "import pymc as pm\n", "import pytensor.tensor as pt\n", "import scipy as sp\n", "import xarray as xr\n", "\n", "from matplotlib import pyplot as plt\n", "from matplotlib.ticker import StrMethodFormatter\n", "from statsmodels import datasets\n", "\n", "print(f\"Running on PyMC v{pm.__version__}\")" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "%config InlineBackend.figure_format = 'retina'\n", "az.style.use(\"arviz-variat\")\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Survival analysis](https://en.wikipedia.org/wiki/Survival_analysis) studies the distribution of the time between when a subject comes under observation and when that subject experiences an event of interest. One of the fundamental challenges of survival analysis (which also makes is mathematically interesting) is that, in general, not every subject will experience the event of interest before we conduct our analysis. In more concrete terms, if we are studying the time between cancer treatment and death (as we will in this post), we will often want to analyze our data before every subject has died. This phenomenon is called [censoring](https://en.wikipedia.org/wiki/Censoring_(statistics)) and is fundamental to survival analysis.\n", "\n", "\n", "This post illustrates a parametric approach to Bayesian survival analysis in PyMC. Parametric models of survival are simpler to both implement and understand than semiparametric models; statistically, they are also more [powerful](https://en.wikipedia.org/wiki/Power_(statistics)) than non- or semiparametric methods when they are correctly specified. For an example of a [semiparametric](https://en.wikipedia.org/wiki/Semiparametric_model) [Cox proportional hazards model](https://en.wikipedia.org/wiki/Proportional_hazards_model#The_Cox_model), you can read this [blogpost](http://austinrochford.com/posts/2015-10-05-bayes-survival.html), but be aware that the post used and old version of PyMC and that Implementing a semiparametric model in PyMC involved some fairly complex numpy code and nonobvious probability theory equivalences.\n", "\n", "We will analyze the [mastectomy data](https://vincentarelbundock.github.io/Rdatasets/doc/HSAUR/mastectomy.html) from `R`'s [`HSAUR`](https://cran.r-project.org/web/packages/HSAUR/index.html) package. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "pct_formatter = StrMethodFormatter(\"{x:.1%}\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " time event metastized\n", "0 23 1.0 0.0\n", "1 47 1.0 0.0\n", "2 69 1.0 0.0\n", "3 70 0.0 0.0\n", "4 100 0.0 0.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = datasets.get_rdataset(\"mastectomy\", \"HSAUR\", cache=True).data.assign(\n", " metastized=lambda df: 1.0 * (df.metastized == \"yes\"), event=lambda df: 1.0 * df.event\n", ")\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The column `time` represents the survival time for a breast cancer patient after a mastectomy, measured in months. The column `event` indicates whether or not the observation is censored. If `event` is one, the patient's death was observed during the study; if `event` is zero, the patient lived past the end of the study and their survival time is censored. The column `metastized` indicates whether the cancer had [metastized](https://en.wikipedia.org/wiki/Metastasis) prior to the mastectomy. In this post, we will use Bayesian parametric survival regression to quantify the difference in survival times for patients whose cancer had and had not metastized." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Accelerated failure time models\n", "\n", "[Accelerated failure time models](https://en.wikipedia.org/wiki/Accelerated_failure_time_model) are the most common type of parametric survival regression models. The fundamental quantity of survival analysis is the [survival function](https://en.wikipedia.org/wiki/Survival_function); if $T$ is the random variable representing the time to the event in question, the survival function is $S(t) = P(T > t)$. Accelerated failure time models incorporate covariates $\\mathbf{x}$ into the survival function as\n", "\n", "$$S(t\\ |\\ \\beta, \\mathbf{x}) = S_0\\left(\\exp\\left(\\beta^{\\top} \\mathbf{x}\\right) \\cdot t\\right),$$\n", "\n", "where $S_0(t)$ is a fixed baseline survival function. These models are called \"accelerated failure time\" because, when $\\beta^{\\top} \\mathbf{x} > 0$, $\\exp\\left(\\beta^{\\top} \\mathbf{x}\\right) \\cdot t > t$, so the effect of the covariates is to accelerate the _effective_ passage of time for the individual in question. The following plot illustrates this phenomenon using an exponential survival function." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "S0 = sp.stats.expon.sf" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 1223, "width": 1623 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "t = np.linspace(0, 10, 100)\n", "\n", "ax.plot(t, S0(5 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = \\log\\ 5$\")\n", "ax.plot(t, S0(2 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = \\log\\ 2$\")\n", "ax.plot(t, S0(t), label=r\"$\\beta^{\\top} \\mathbf{x} = 0$ ($S_0$)\")\n", "ax.plot(t, S0(0.5 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = -\\log\\ 2$\")\n", "ax.plot(t, S0(0.2 * t), label=r\"$\\beta^{\\top} \\mathbf{x} = -\\log\\ 5$\")\n", "\n", "ax.set_xlim(0, 10)\n", "ax.set_xlabel(r\"$t$\")\n", "\n", "ax.yaxis.set_major_formatter(pct_formatter)\n", "ax.set_ylim(-0.025, 1)\n", "ax.set_ylabel(r\"Survival probability, $S(t\\ |\\ \\beta, \\mathbf{x})$\")\n", "\n", "ax.legend(loc=1)\n", "ax.set_title(\"Accelerated failure times\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Accelerated failure time models are equivalent to log-linear models for $T$,\n", "\n", "$$Y = \\log T = \\beta^{\\top} \\mathbf{x} + \\varepsilon.$$\n", "\n", "A choice of distribution for the error term $\\varepsilon$ determines baseline survival function, $S_0$, of the accelerated failure time model. The following table shows the correspondence between the distribution of $\\varepsilon$ and $S_0$ for several common accelerated failure time models.\n", "\n", "| Log-linear error distribution ($\\varepsilon$) | Baseline survival function ($S_0$) |\n", "|-----------------------------------------------|-------------------------------------|\n", "| [Normal](https://en.wikipedia.org/wiki/Normal_distribution) | [Log-normal](https://en.wikipedia.org/wiki/Log-normal_distribution) |\n", "| Extreme value ([Gumbel](https://en.wikipedia.org/wiki/Gumbel_distribution)) | [Weibull](https://en.wikipedia.org/wiki/Weibull_distribution) |\n", "| [Logistic](https://en.wikipedia.org/wiki/Logistic_distribution) | [Log-logistic](https://en.wikipedia.org/wiki/Log-logistic_distribution) |\n", "\n", "Accelerated failure time models are conventionally named after their baseline survival function, $S_0$. The rest of this post will show how to implement Weibull and log-logistic survival regression models in PyMC using the mastectomy data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Weibull survival regression\n", "\n", "In this example, the covariates are $\\mathbf{x}_i = \\left(1\\ x^{\\textrm{met}}_i\\right)^{\\top}$, where\n", "\n", "$$\n", "\\begin{align*}\n", "x^{\\textrm{met}}_i\n", " & = \\begin{cases}\n", " 0 & \\textrm{if the } i\\textrm{-th patient's cancer had not metastized} \\\\\n", " 1 & \\textrm{if the } i\\textrm{-th patient's cancer had metastized}\n", " \\end{cases}.\n", "\\end{align*}\n", "$$\n", "\n", "We construct the matrix of covariates $\\mathbf{X}$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "n_patient, _ = df.shape\n", "\n", "X = np.empty((n_patient, 2))\n", "X[:, 0] = 1.0\n", "X[:, 1] = df.metastized\n", "\n", "with pm.Model() as weibull_model:\n", " predictors = pm.Data(\"predictors\", X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The likelihood of the data is specified in two parts, one for uncensored samples, and one for censored samples. Since $Y = \\eta + \\varepsilon$, and $\\varepsilon \\sim \\textrm{Gumbel}(0, s)$, $Y \\sim \\textrm{Gumbel}(\\eta, s)$. For the uncensored survival times, the likelihood is implemented as" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " censored = pm.Data(\"censored\", df.event.values == 0.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We transform the observed times to the log scale and standardize them." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "y = np.log(df.time.values)\n", "y_std = (y - y.mean()) / y.std()\n", "\n", "with weibull_model:\n", " y_obs = pm.Data(\"y_obs\", y_std[df.event.values == 1.0])\n", " y_cens = pm.Data(\"y_cens\", y_std[df.event.values == 0.0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We place independent, vague normal prior distributions on the regression coefficients,\n", "\n", "$$\\beta \\sim N(0, 5^2 I_2).$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " beta = pm.Normal(\"beta\", mu=0.0, sigma=5.0, shape=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The covariates, $\\mathbf{x}$, affect value of $Y = \\log T$ through $\\eta = \\beta^{\\top} \\mathbf{x}$." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " eta = beta.dot(predictors.T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For Weibull regression, we use\n", "\n", "$$\n", "\\begin{align*}\n", " \\varepsilon\n", " & \\sim \\textrm{Gumbel}(0, s) \\\\\n", " s\n", " & \\sim \\textrm{HalfNormal(5)}.\n", "\\end{align*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " s = pm.HalfNormal(\"s\", 5.0)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " events = pm.Gumbel(\"events\", eta[~censored], s, observed=y_obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For censored observations, we only know that their true survival time exceeded the total time that they were under observation. This probability is given by the survival function of the Gumbel distribution,\n", "\n", "$$P(Y \\geq y) = 1 - \\exp\\left(-\\exp\\left(-\\frac{y - \\mu}{s}\\right)\\right).$$\n", "\n", "This survival function is implemented below." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def gumbel_sf(y, mu, sigma):\n", " return 1.0 - pt.exp(-pt.exp(-(y - mu) / sigma))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now specify the likelihood for the censored observations." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "with weibull_model:\n", " censored_like = pm.Potential(\"censored_like\", gumbel_sf(y_cens, eta[censored], s))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now sample from the model." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "SEED = 845199 # from random.org, for reproducibility\n", "\n", "SAMPLE_KWARGS = {\"chains\": 4, \"tune\": 1000, \"random_seed\": [SEED + i for i in range(4)]}" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta, s]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "02f783f6dae7426d9d73706de0cd1101", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 3 seconds.\n"
     ]
    }
   ],
   "source": [
    "with weibull_model:\n",
    "    weibull_trace = pm.sample(**SAMPLE_KWARGS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The energy plot and Bayesian fraction of missing information give no cause for concern about poor mixing in NUTS."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "
" ] }, "metadata": { "image/png": { "height": 559, "width": 2411 } }, "output_type": "display_data" } ], "source": [ "az.plot_energy(weibull_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $\\hat{R}$ statistics also indicate convergence." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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<xarray.DataArray ()> Size: 8B\n",
       "array(1.0048258)
" ], "text/plain": [ " Size: 8B\n", "array(1.0048258)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.rhat(weibull_trace).to_array().max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we plot posterior distributions of the parameters." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 829, "width": 2423 } }, "output_type": "display_data" } ], "source": [ "az.plot_forest(weibull_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are somewhat interesting (especially the fact that the posterior of $\\beta_1$ is fairly well-separated from zero), but the posterior predictive survival curves will be much more interpretable.\n", "\n", "The advantage of using `Data` variables is that we can now change their values to perform posterior predictive sampling. For posterior prediction, we set $X$ to have two rows, one for a subject whose cancer had not metastized and one for a subject whose cancer had metastized. Since we want to predict actual survival times, none of the posterior predictive rows are censored." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "X_pp = np.empty((2, 2))\n", "X_pp[:, 0] = 1.0\n", "X_pp[:, 1] = [0, 1]\n", "\n", "cens_pp = np.repeat(False, 2)\n", "\n", "with weibull_model:\n", " pm.set_data(\n", " {\"predictors\": X_pp, \"censored\": cens_pp, \"y_obs\": np.zeros(2), \"y_cens\": np.zeros(0)}\n", " )" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [events]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "271c7ace190943a4a694050334726ace", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with weibull_model:\n",
    "    pp_weibull_trace = pm.sample_posterior_predictive(weibull_trace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The posterior predictive survival times show that, on average, patients whose cancer had not metastized survived longer than those whose cancer had metastized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "t_plot = xr.DataArray(np.linspace(0, 230, 100), dims=[\"time\"])\n",
    "pp_samples = az.extract(pp_weibull_trace.posterior_predictive[\"events\"])\n",
    "\n",
    "linear_pred = y.mean() + y.std() * pp_samples\n",
    "\n",
    "weibull_pp_surv = np.exp(linear_pred) >= t_plot\n",
    "\n",
    "weibull_pp_surv_mean = weibull_pp_surv.mean(dim=\"sample\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
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" ] }, "metadata": { "image/png": { "height": 1223, "width": 1623 } }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 6))\n", "\n", "\n", "ax.plot(t_plot, weibull_pp_surv_mean[0], label=\"Not metastized\")\n", "ax.plot(t_plot, weibull_pp_surv_mean[1], label=\"Metastized\")\n", "\n", "ax.set(\n", " xlabel=\"Weeks since mastectomy\",\n", " ylabel=\"Survival probability\",\n", " title=\"Weibull survival regression model\",\n", " xlim=(0, 230),\n", " ylim=(0, 1),\n", ")\n", "ax.legend()\n", "ax.yaxis.set_major_formatter(pct_formatter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Log-logistic survival regression\n", "\n", "Other accelerated failure time models can be specified in a modular way by changing the prior distribution on $\\varepsilon$. A log-logistic model corresponds to a [logistic](https://en.wikipedia.org/wiki/Logistic_distribution) prior on $\\varepsilon$. Most of the model specification is the same as for the Weibull model above." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as log_logistic_model:\n", " predictors = pm.Data(\"predictors\", X)\n", " censored = pm.Data(\"censored\", df.event.values == 0.0)\n", " y_obs = pm.Data(\"y_obs\", y_std[df.event.values == 1.0])\n", " y_cens = pm.Data(\"y_cens\", y_std[df.event.values == 0.0])\n", "\n", " beta = pm.Normal(\"beta\", 0.0, 5.0, shape=2)\n", " eta = beta.dot(predictors.T)\n", "\n", " s = pm.HalfNormal(\"s\", 5.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use the prior $\\varepsilon \\sim \\textrm{Logistic}(0, s)$. The survival function of the logistic distribution is\n", "\n", "$$P(Y \\geq y) = 1 - \\frac{1}{1 + \\exp\\left(-\\left(\\frac{y - \\mu}{s}\\right)\\right)},$$\n", "\n", "so we get the likelihood" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def logistic_sf(y, mu, s):\n", " return 1.0 - pm.math.sigmoid((y - mu) / s)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "with log_logistic_model:\n", " events = pm.Logistic(\"events\", eta[~censored], s, observed=y_obs)\n", " censored_like = pm.Potential(\"censored_like\", logistic_sf(y_cens, eta[censored], s))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now sample from the log-logistic model." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [beta, s]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "42c5ce5ce1534787bb09e59fec326a47", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 2 seconds.\n"
     ]
    }
   ],
   "source": [
    "with log_logistic_model:\n",
    "    log_logistic_trace = pm.sample(**SAMPLE_KWARGS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All of the sampling diagnostics look good for this model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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b7r4MAMgVV1yRiy66aMT9pk2blhe+8IU5/vjjs//++2fatGnp6urKQw89lN/85jf54Q9/mDVr1gzbx7XXXpsPf/jDef/731+l6gFg71IsFjNnzpw88sgjE13KU+zMecNjjz02n/3sZzNr1qwR+5szZ04+/OEP57jjjsu73/3ulMvlHe63du3a/OM//mM++MEP7lLdAIy9xYsX5xe/+MVElwFAlWzdujUXXHDBsPvsv//++cIXvpAlS5aM2F9LS0ve8Y535KSTTsqb3/zmdHZ27nC/9vb2fOADH8gXv/jFXaobgMnB5wsAhrOnnkdxDgUAAJjshGsBwARxd7Sxd/7556erq2uiywCYlMxju+a3v/1tzj777J2an/bdd9+ceuqpOeaYY7LffvtlwYIFaW5uTqlUSltbW7Zu3ZoNGzbkzjvvzJ133plbbrklt912WyqVyji8EoC9lzlsZJs3b875558/4n4NDQ3527/925x11lnD/mjmxBNPzFlnnZWenp5cfvnl+fSnP50NGzYM2/cXv/jFPO95z8tRRx016voBYLsHHngg733ve4fdp1Qq5a/+6q/yt3/7t2lpaXlK+6GHHprnPve5eetb35pvf/vb+cQnPpEtW7YM2d+///u/58QTT8wLX/jC3a4fAPZkhUIh++yzT5YvX54jjjgiRxxxRA4//PCsWLEif/mXfznR5T3FRz/60fT09AzZfthhh+Xzn//8Dt8PDOcVr3hFKpVKzjvvvCH3+c///M+cddZZOeyww0bVNwAAMHoXXXRRHn300SHbFy5cmC9/+cuZP3/+qPo99dRT89nPfjave93rhrww/Nprr83Pf/7zPPe5zx1V3wAAwOSzN51HcQ4FAACY7IRrAcAEcHe0sfed73wnv/zlL5+yvVgs5pRTTsm11147AVUBTA7msV1z77335m//9m+HDdYqFAp57nOfm7/+67/O05/+9CH3a21tTWtra5YtW5Zjjz32se0bNmzI1VdfnZ/+9Ke55pprhvxBJ8BUZQ7bOV/4wheycePGYffZd999c9FFF+Xggw/e6X7r6+vzJ3/yJ3nOc56Tt7/97bnhhhuG3HdgYCCf+MQnctlll+10/wA81Z5619Px8oEPfCDt7e1Dtjc1NeXiiy/OSSedNGJfxWIxf/zHf5wTTzwxr3vd63LfffcNue8FF1yQU089ddQ/LAWAPdnixYsfu/hj+fLledrTnpbp06dPdFk7ZcWKFfnZz342ZHtTU1M+/elP7/Lc/cpXvjI33XRTvvWtb+2wfWBgIBdeeGEuueSSXeofAADYOY888ki+/vWvD9leKpXyqU99atTBWtudfPLJOeecc/LpT396yH0uvPBC4VoAADAF7a3nUZxDAQAApoLiRBcAAFPRzt4dbWcu5n6i7XdHK5VKQ+6z/e5ok9mjjz6aj33sYztsO+uss3LUUUeNc0UAk4t5bPQ6Ozvzhje8IZs3bx5ynyVLluSrX/1qPvvZzw4brDWcOXPm5FWvelU+97nP5Re/+EXe+MY3ZtasWbtWNMAkZA4bWXd3d/7jP/5j2H3mzJmTL33pS6MK1vrD4z/3uc+N+Nnsf//3f7NixYpdGgNgKioUClm2bFle+tKX5l3velcuu+yy/PrXv84nP/nJiS5tQvzsZz/LddddN2R7TU1NLrnkkp0K1nqipUuX5itf+cqwF+Bt2LAhF1100aj6BYA9zdy5c3Puuefm85//fG644Yb84he/yIUXXpi/+Zu/yUknnbRXXBCy3Uhh1294wxuybNmy3Rrjne98Z2bOnDlk+5VXXplVq1bt1hgAAMDwvvKVr6Svr2/I9le/+tVPuoHZrvjrv/7r7LfffkO233HHHW78CQAAU8BkOY/iHAoAADAVCNcCgHE2XndHG86FF164S33vLS644IIdhpfMmzcvb33rW8e/IIBJxDy2az70oQ/l3nvvHbL9+OOPz3e/+90cf/zxVRtzwYIF+bu/+7s885nPrFqfAHszc9jOueqqq7J169Zh9/nwhz+cxYsX79Y4DQ0Nueiii9LY2Djsfj/4wQ92axyAyWzx4sU544wz8ra3vS1f/vKXc+ONN+YnP/lJPvWpT+Xss8/Occcdl+bm5okuc8J8+tOfHrb97/7u73LiiSfuUt8LFizIJz/5yRSLQ59q/frXv57169fvUv8AsCfYf//986Y3vSnPetaz0traOtHl7LL169fnJz/5yZDtc+bMyWtf+9rdHmfGjBn567/+6yHbK5XKsN9LAAAAu6e3tzf/+Z//OWR7XV1d3vzmN+/2OLW1tfm7v/u7Yff5t3/7t90eBwAA2LNNhvMozqEAAABThXAtABhn7o42tn7xi1/kRz/60Q7b3v3ud6elpWWcKwKYXMxjo3f11Vfn29/+9pDtxx13XL74xS/uNXcoAthbmcN2zq9+9ath24899tg861nPqspY8+fPz2te85ph9/nlL39ZlbEAJoPJctfT8XD11Vdn5cqVQ7YfdNBB+au/+qvdGuP444/PmWeeOWR7b29vvvrVr+7WGADA7vvhD3+Ycrk8ZPtZZ52V+vr6qoz1p3/6p2lqahqy/Yorrkh/f39VxgIAAJ7smmuuyZYtW4Zsf+lLX5q5c+dWZawXvOAFw96I5rrrrsumTZuqMhYAAMBYcQ4FAACYKoRrAcA4cne0sdXe3p4PfOADO2w7/fTT88IXvnCcKwKYXMxjo9fX15ePfOQjQ7YvXLgwn/3sZ6t24hGAHTOH7bzbb7992PaXv/zlVR1vuFCSJLn77rvT29tb1TEB9laT4a6n42Wk+fYtb3lLSqXSbo/zlre8JbW1tUO2f/Ob3zSPAcAE+8EPfjBkW6FQyCtf+cqqjTVt2rQ8//nPH7J948aNQqQBAGCMfP/73x+2/VWvelXVxiqVSsOeM+vr68uPf/zjqo0HAAAwFpxDAQAApgrhWgAwjtwdbWx96lOfysMPP/yU7U1NTTn//PMnoCKAycU8Nnrf+MY3cu+99w7Z/tGPfjQzZswYx4oApiZz2M578MEHh20/+eSTqzreAQcckAULFgzZXi6Xs2bNmqqOCcDktnHjxlx//fVDtu+zzz55znOeU5Wx5s+fnxe/+MVDtm/evDnXXnttVcYCAEZv48aNWbFixZDtT3/607No0aKqjvmSl7xk2PZrrrmmquMBAACD55OG+05w3rx5OfbYY6s6pvf+AADA3sw5FAAAYCoRrgUA48jd0cbOTTfdlH//93/fYds555wz7MXtAOwc89jo9Pf350tf+tKQ7c9//vNz4oknjmNFAFOXOWznbd26dci2UqmUJUuWVH3MffbZZ9j2tra2qo8JwOT1ox/9KP39/UO2n3nmmSkWq3eK9BWveMWw7cPd6RUAGFs33HBDKpXKkO2nnnpq1cc8/vjjU1dXN2S7u64DAED13XLLLcOe4zr11FNTKBSqOuaBBx6YhQsXDtl+4403Dvs9JQAAwERyDgUAAJhKhGsBwDhxd7Sx09vbm/e+9707/GL30EMPzWtf+9oJqApgcjGPjd6PfvSjrFmzZsj2c845ZxyrAZi6zGGjM9wPZmbOnFn1Cw+SpLW1ddh2Fx4AMBojzbMvfvGLqzreCSeckLlz5w7Zfv3112dgYKCqYwIAO+d//ud/hm0fi5sfNDY25ulPf/qQ7atWrcqGDRuqPi4AAExlN95447DtY3Xjs5NOOmnItvb29tx6661jMi4AAMDucg4FAACYSoRrAcA4cXe0sXPJJZdk1apVT9leLBZzwQUXpKamZgKqAphczGOj981vfnPItqOPPjqHHnroOFYDMHWZw0Zn+vTpQ7YNF7y1O0bqd8aMGWMyLgCTT39/f/73f/93yPbFixdnv/32q+qYxWJx2IvotmzZkhUrVlR1TABg5wx3IXupVMrTnva0MRn3yCOPHLbdBfYAAFBdI33/NtJ79F21fPnyYdu99wcAAPZUzqEAAABTiXAtABgn7o42NlauXJkvfOELO2w766yzxuyHMQBTjXlsdNatW5df//rXQ7b/0R/90ThWAzC1mcNGp7W1dci2LVu2jEnA1qZNm4ZtnzVrVtXHBGByWrFiRTo6OoZsH25+3h0nn3zysO2/+tWvxmRcAGBo/f39Wbly5ZDt+++/fxobG8dk7JEuOLn99tvHZFwAAJiqbrvttiHbmpubs++++47JuEccccSw7d77AwAAeyLnUAAAgKlGuBYAjBN3R6u+gYGBvOc970lfX99T2ubNm5e3vvWtE1AVwORkHhudH/3oRxkYGBiy/TnPec44VgMwtZnDRme4H6+Uy+U8+OCDVR/z/vvvH7Jt/vz5wwZ+AcATjTS/jtW8P1K/w13cBwCMjfvuuy+9vb1Dtu+///5jNvZIfd95551jNjYAAEw1nZ2dWb169ZDt++67bwqFwpiM7b0/AACwN3IOBQAAmGpqJroAAJgq3B2t+r72ta/ld7/73Q7b3v3ud6elpWWcKwKYvMxjo3P99dcP2bZ06dIsXLhwHKsBmNrMYaPzjGc8I9/73veGbP/lL3+ZffbZp2rj3X333Vm3bt2w9QDAzhopXOvwww8fk3H322+/NDU1pbOzc4fte+q8DwCT2Ujh0NX8bPuHli1bNmz7WARXA7B7NmzYkBtuuCG33HJLVq5cmdWrV2fjxo3p7u5OqVRKQ0NDpk+fnoULF2bJkiU5/PDDc+SRR+bII49MsegetwATafXq1alUKkO2j/T+fHe0tLSktbU1Gzdu3GG79/4AU5PPFwDs6ZxDAQAAphrhWgAwDtwdrfrWrFmTf/7nf95h2+mnn54XvvCF41sQwCRmHhud/v7+/PrXvx6y/aijjhrHagCmNnPY6D3vec/Lhz70oXR3d++w/fLLL8+f/dmfVW284YK8kuRFL3pR1cYCYPJbuXLlsO1jdXfVYrGYfffdd8hQz/vvvz9dXV1pbGwck/EBgKca7vuAJFmyZMmYjd3Y2JjZs2fn0Ucf3WH7SLUBML7WrFmTU045Zcj2crmc3t7etLW1ZfXq1fnf//3ffPe7302SzJw5M89+9rPzJ3/yJznmmGPGq2QAnmAi3/tv73+ocK2NGzems7MzTU1NY1oDAHsOny8A2Bs4hwIAAEw1Iu0BYBzsCXdHG8remup//vnnp7Oz8ynbm5qacv75509ARQCTl3lsdG6//fYdzlHbHXzwwUO29fT05KqrrsqHPvShvOY1r8kzn/nMHH300Tn88MNz9NFH57TTTsuf/umf5u1vf3u+9rWv7bHBLAB7CnPY6M2aNSsve9nLhmy/+eabc/XVV1dlrHXr1uWyyy4bsn3x4sV5znOeU5WxAJgahptf58yZk+bm5jEbe7g7t1YqlTz00ENjNjYA8FRr1qwZtn3OnDljOv7s2bOHbNu0aVO6urrGdHwAdt5w3yGPZPPmzfnud7+bs846K6961aty/fXXV7EyAHbGnvzePxm5PgAmF58vANgb7Mmfo5xDAQAAxoJwLQAYB3vC3dGGsv3uaHuTyy+/PNdee+0O284555wsXrx4nCsCmNzMY6Nzxx13DNu+oyCXdevW5WMf+1hOOeWU/O3f/m2+9rWv5cYbb8y6devS2dmZcrmczs7OPPLII/ntb3+b73//+/nQhz6Ul73sZXnBC16Qz33uc9myZctYvSSAvZY5bNecc845mT59+pDt7373u3c7IKS7uzvnnnvusD+Eefvb355SqbRb4wAwdbS3t2fz5s1Dtk/kvJ+4uyoAjLdNmzYN2z537twxHX/evHnDto9UHwB7nxUrVuT//t//m3PPPTcbN26c6HIApgzv/QGYjHy+AGAs+RwFAABMNcK1AGAc7Mmp/snedXe0jRs35iMf+cgO2w499NC89rWvHeeKACY/89jo3HXXXcO2L1q06LH1/v7+fP7zn88LX/jCfOlLX8rWrVtHPd7999+ff/qnf8rpp5+eL3zhC+nr6xt1HwCTlTls18yfPz/vfve7h2xfv359/u///b9ZuXLlLvX/6KOP5vWvf31++9vfDrnPGWeckRe/+MW71D8AU9NEz/sj9b+7wZQAwOgMF7qZJNOmTRvT8Ufqf6T6ANh7/fd//3de9rKX5fe///1ElwIwJXjvD8Bk5vMFAGPB5ygAAGCqEa4FAONAqn/1fPjDH95hvcViMRdccEFqamomoCqAyc08Njr33HPPsO2zZs1KMhgscvbZZ+dTn/pUOjs7d3vczs7OfPKTn8yf/Mmf5IEHHtjt/gAmA3PYrjvzzDPz5je/ecj2++67L3/8x3+cSy65ZKd/zNLT05P//M//zMtf/vLccMMNQ+739Kc/fchQZQAYykjz6liHa430vmJPnvcBYDLasmXLsO0tLS1jOv5I/Y9UHwB7t/Xr1+c1r3lNrr766okuBWDS29Pf+7soHIDd5fMFANW2p3+Ocg4FAACoNukTADAOpPpXxzXXXJPvf//7O2w766yzcuSRR45zRQBTg3lsdNatWzds+4wZM7Ju3br85V/+Ze67776qj3/bbbflVa96Vb7whS/k6U9/etX7B9ibmMN2zznnnJO6urp8+tOfTn9//1Pau7u788///M+59NJLc+qpp+bYY4/NIYcckhkzZqSlpSVdXV3ZsmVL7rvvvtx000255pprRgwWOe6443LxxRenubl5rF4WAJPUSPPq9OnTx3T8vX3eB4DJZqQbGjQ1NY3p+CP1X40bLgCw+2pra3P44Yfn4IMPzsEHH5x99tknLS0tmTZtWurr69PW1pbNmzfn0UcfzW9/+9v87//+b1atWrVTfXd3d+fNb35zvvjFL+b4448f41cCMHXt6e/9u7q6xnR8APYcPl8AsLfY0z9HOYcCAABUm3AtABgHe3qq/95wYVdHR0fe//7377Bt3rx5eetb3zq+BQFMIeax0dmwYcOw7X19fTn77LPHJFhru7a2tpx99tn58pe/nKOOOmrMxgHY05nDdt/f/M3f5Ljjjsu73vWuIeeurq6u/PSnP81Pf/rTXR6npqYmr3/96/PGN74xpVJpl/sBYOpqa2sbtn2i5313VgWA8bWjkOgnqq2tHdPxR+q/r69vTMcHYGgzZ87Mc57znDz72c/OKaecstNB/694xSuSJKtXr86Xv/zlfOtb3xoxMKWnpyfnnntuvve972XBggW7XTsATzXSe/+amrG9XMJ7f4CpzecLAPZGzqEAAABTjXAtABgHe3qq/95wd7R/+qd/ykMPPbTDtne/+91jfnEcwFRmHtt55XI5mzZtGnaf973vfcPecW7RokV5znOek2c84xmZO3duWltb09nZmQ0bNuTee+/Nz3/+89x8880pl8vDjtPZ2Zk3velN+da3vuXHNMCUZQ6rjqOPPjpXXHFFvv/97+df/uVfsnLlyqr1XVtbm5e97GV5wxvekKVLl1atXwCmno6OjmHbx3reH+liib1l3geAyWKkCy/GOth5pAv4R7pwBYDqW758ef78z/88L37xi1NfX7/L/SxZsiTvec978sY3vjHnn3/+iDcd2LRpU97xjnfka1/72i6PCcDQRnrvP9bhWt77A0xNPl8AsDdzDgUAAJhqhGsBwDhwd7Td87vf/S7/9m//tsO2008/PS984QvHuSKAqcU8tvO6urpSqVSG3WeoH8AsXrw45513Xp7//OcPeezpp5+es88+O2vXrs3HPvax/OhHPxp2rPXr1+dd73pX/vVf/zWFQmHkFwAwyZjDqqdUKuXMM8/MmWeemZtvvjnve9/7ditka9asWXnLW96SF7/4xZk+fXoVKwVgqjLvAwBPNNHvDUa68MSFIQDj66UvfWle+cpXVrXP1tbWfOYzn8mXv/zlfOITnxj23/Ybb7wxl19+eV7+8pdXtQYARn5vPdYXhY/Uv+8FASYfny8A2Ns5hwIAAEw1wrUAYBy4O9qu6+vry3ve854MDAw8pa2pqSnnn3/+BFQFMLWYx3Zeb2/vLh334he/OB/96Ed3+i52CxcuzD//8z/npS99ad761remp6dnyH1vuOGGfOc738mrXvWqXaoNYG9mDquecrmcK664It/4xjfym9/8JuVyebf627RpUz7ykY/kqquuystf/vKcccYZKRaLVaoWgKlooud9P/4EmDx+8pOf5Cc/+clEl7HbTj311Jx55pkTXcaEGWnuL5fLY3qR/Uifm8f6An+A7cxrg+rq6qpXzB/4//6//y91dXX5wAc+MOx+F154YV760peaAwCqbKT3/jv63WE1jfTef6y/lwRg/Pl8AcDezjkUAABgqnG2BgDGgbuj7bpLL700K1eu3GHbOeeck8WLF49zRQBTj3ls5+1KuNaZZ56ZD3/4w7v05/i85z0vl156ad7whjekq6tryP0+85nP5I/+6I/G9Ic9AHsic1h1XHHFFfnnf/7n3H///VXtt7u7O1deeWWuvPLK7LvvvnnTm96Ul73sZVUdA4CpY6J/fDlZ5n0AkjvvvDPf//73J7qM3TZ9+vQpHa5VW1s7bPtYXxgy0ncSI9UHUC3mtfHxf/7P/8m9996br371q0Pus3r16vzkJz/Ji170onGsDGDyG+m99ViH3nvvD0C1+XwBwFhzDgUAAJhqihNdAABMBe6OtmtWrVqVSy+9dIdthx56aF772teOc0UAU5N5bOdVKpVR7X/ooYfmQx/60G6dgDzppJPy9re/fdh91qxZkyuuuGKXxwDYW5nDdk97e3ve/va35+///u+rHqz1h+6777684x3vyJve9KZs3LhxTMcCYHIa6XPVSPPy7trb530AmGxGmnt35UYJo+HCEICp5x3veEcWLVo07D6XX375OFUDMHWM9N5/rEPvvfcHYCz4fAHAWHIOBQAAmGqEawHAOHB3tNGrVCp5z3ves8MvZYvFYi644AIXpAGME/PYzhtNLTU1NfnYxz5Wlfr//M//PCeccMKw+/zHf/zHbo8DsLcxh+26TZs25f/8n/+T73//+yPue+ihh+av/uqv8rnPfS4/+tGPcsMNN2TFihW58cYb89Of/jRf+9rX8pa3vCUnn3xyisXhv5L+2c9+lle+8pV58MEHq/VSAJgidubOqmNppP735HkfACajpqamYds7OzvHdPyOjo5h20eqD4C9T11dXd74xjcOu8/1118/4hwBwOjs6e/9Gxsbx3R8ACYnny8AGEt7+uco51AAAIBqE64FAOPA3dFG7+tf/3puvvnmHbadddZZOfLII8e5IoCpyzy280ZTywte8IIceuihVRm3UCjkzW9+87D7/OY3v8mGDRuqMh7A3sIctmva2tpy9tln58477xx2vxNOOCFf+cpXcvnll+ed73xnnv3sZ2f//fdPa2tramtrM2PGjOyzzz45/vjj84Y3vCH/+q//mh/+8Id59atfnUKhMGS/a9euzV/+5V/moYceqvZLA2ASm+h5f6T+99R5HwAmqxkzZgzbPtYXHo7U/0j1AbB3euUrX5nW1tYh23t7e/P73/9+HCsCmPz29Pf+M2fOHNPxAZi8fL4AYKzs6Z+jnEMBAACqTbgWAIyDPT3Vf0+7O9rDDz+cT33qUztsmzdvXt761reOc0UAU5t5bOfV19fv9L5nnXVWVcc+7rjjctBBBw3ZXqlUct1111V1TIA9nTls17z//e/P7bffPmR7TU1N3va2t+UrX/lKTjzxxFH1vf/+++cf/uEfcumllw57McGaNWty7rnnjhhQBgDbNTc3D9tu3geAqWWkCy/a2trGdPyR+ndhCMDkVCqVctJJJw27z+9+97txqgZgavDeH4DJyucLAMaKz1EAAMBUI1wLAMbBnp7qv6fdHe3973//kDW/+93vTktLyzhXBDC1mcd2XkNDQ+rq6kbcb/78+Tn++OOrPv4f/dEfDdvuxzTAVGMOG70f/ehH+eEPfzjsPh/96EfzN3/zNykUCrs8zrOe9ax8/etfz7Rp04bcZ8WKFfnc5z63y2MAMLVMnz58F+cqAAAe90lEQVR92PaJnvf9+BMAxldra+uw7evXrx/T8Ufqf9asWWM6PgAT59RTTx22/f777x+nSgCmBu/9AZjMfL4AYCz4HAUAAEw1NRNdAABMBVL9d94VV1yRK6+8codtp59+el74wheOc0UAmMdGZ+bMmXnkkUeG3efpT3/6mIx91FFHDdt+223///buNczKqmwc+D3ADAwwEAdFYUAUUVKiSJR0EDzgkewqSMvKzCRMBS3P+qKpqRWoeYJMIk0r1FS0lEst8ypFRMOMCk8gKsNJRk4OIwLD/D/R+/672M+eYfaew7N/v+vii/eada89H7z3mvU891qUl7wALZUa1jB1dXVxyy23JI4555xzsjZzrK8BAwbErbfeGmeeeWbU1dXtdMxdd90Vp556avTo0SMnOQFIr2x1dcOGDXnN/+GHHybGW2JTTQB2btKkSTFp0qTmXgaNtOeeeybGq6qq8po/af5u3bpFx44d85ofYAd1rentu+++ifHKysomWglAYWjJ3/0jIvr06ZPX/ACkm/0FAPnQkvdRzlAAAIB8aNPcCwCAQqCrf/2sX78+rrvuup3GOnbsGFdddVUTrwiACHWsoeqznmxNsHbV4MGDo02bzFv95cuX5yUvQEulhjXMs88+G++8807G+J577hlnn312TnNWVFTEcccdlzH+8ccfx6xZs3KaE4B0ylb38/3wZ2ur+wCQduXl5YnxfP6t9KOPPooPPvggYzzb2gBo3bJdFJDvSx8ACk1zfvePSG5q0r17dy+FA9Ao9hcA5IMzFAAAoNBorgUATaAld/WPaDm3o02dOjXjH0knTpzYYtYJUGjUsYbZY489so7J18Ff586dE1/Y/uCDD2Lr1q15yQ3QEqlhDfPYY48lxs8666woKSnJed7zzjsvMf7www/nPCcA6dO7d+/EeHM312ppdR8A0q5v376J8XfffTdvud97773EuBdDANItW/PnzZs3N9FKAApDtu/X+fzuX11dHWvXrs0Y990fgMayvwAgH5yhAAAAhaZdcy8AAAqB29Hq51//+tdO/3t5eXmMHj068XM0RLZbetatW5eYq7S0NOtNQABpoo41TL9+/bKO6dKlS97yl5WVZWxWuX379qipqYmuXbvmLT9AS6KGNczf/va3jLGioqI49thj85J3wIABMWDAgFiyZMlO4ytWrIhly5ZlfagHgMLWuXPn+MQnPhHr16/fabw5636EB0ABoKn1798/SkpKYsuWLTuNv/3223nLnWl/u8P++++ft9wANL+6urrmXgJAQenUqVOUl5dn/Pvc0qVLo66uLoqKinKeO9u+wnd/ABrL/gKAfHCGAgAAFBrNtQCgCbgdrXEqKyvz9hL3zkyZMiWmTJmSMX700UfH9OnTm2w9AM1NHWuY+jT+KCsry1v+bI2zNm/erLkWUDDUsPpbtmxZVFVVZYwPGjQor02GDzvssMQHZxYsWKC5FgBZlZeXZ2yutWbNmqipqclbc8tly5ZljBUVFUWfPn3ykhcA2Lni4uIYOHBg/Pvf/95p/O23347NmzdHhw4dcp47U84dDjjggJznBKDlSPq7cETkpfYAFLoDDzwwY3OtTZs2xTvvvBN77713zvNmukx0h09+8pM5zwlAYbG/ACAfnKEAAACFpk1zLwAACsGO29Ey2XE7Wj64HQ2AxlLHGmbgwIFZx+TzRjm31QH8LzWs/latWpUY32efffKaf8CAAYnxbOsDgIiI/fbbLzGe7QbUXbV9+/ZYunRpxni/fv2itLQ0L7kBgMwGDx6cMVZbW5v1RfhdtXDhwsS4F0MA0m3dunWJ8S5dujTRSgAKx4EHHpgYz/YdfVf985//TIxnWxcAZGN/AUC+OEMBAAAKieZaANBEkh6U2HE7Wj64HQ2AXFDH6q8+D0d++OGHecu/cePGxLjb6oBCo4bVz/r16xPj3bp1y2v+bPNne2AUACKy78cWLVqUl7xLly6NmpqajPGWVvcBoFAccsghifEXX3wx5zk3b94cr776asb4PvvsE7vttlvO8wLQcrz11luJ8d69ezfRSgAKR3N894+ImDdvXsZYp06dEl9WB4D6sL8AIF+coQAAAIVEcy0AaCJuRwOgNVPH6q9r167Rr1+/xDHZGmA1RtLcbdu2jc6dO+ctN0BLpIbVz6ZNmxLj+a4fZWVlifHq6uq85gcgHZqr7mebt6XVfQAoFIceemgUFRVljD///PM5zzl//vzYsmVLxnhFRUXOcwLQssydOzcxnu0cEYCGGzJkSOJZ1ty5c6Ouri6nORcvXhwrV67MGD/kkEOiXbt2Oc0JQOGxvwAgX5yhAAAAhURzLQBoIm5HA6A1U8caJtvva9myZXnJW11dHevXr88Y32233aJt27Z5yQ3QUqlh9dO+ffvEeD4bQ0ZEbNiwITGebX0AEBExePDg6NixY8Z4c9T9iIjhw4fnJS8AkKxHjx6JTS5fffXVWLFiRU5zPvHEE4nxww8/PKf5AGhZamtr44UXXkgcM2TIkCZaDUDhaNu2beJL2KtXr44FCxbkNGe27/4jR47MaT4ACo/9BQD55AwFAAAoJJprAUATcTsaAK2ZOtYwI0aMSIwvXLgwL3n/+c9/xvbt2zPG3VQHFCI1rH6SfkcREevWrctr/mzzd+rUKa/5AUiH4uLiOPjggzPGKysrY+nSpTnNuX379sQXG7p06dLimmoCQCH5/Oc/nzFWV1cXjzzySM5yffjhh/HHP/4xY7x79+5uXQdIudmzZ8fatWszxtu1axef+cxnmm5BAAUk6bt/RMTDDz+cs1y1tbXx2GOPZYy3a9cujj/++JzlA6Aw2V8AkG/OUAAAgELRst7gAoAU23E72lNPPbXT+I7b0YYNG5aznK3tdrSkB05y6fbbb4877rgjY/xHP/pRjB07tknWAtBaqGMNU1FREcXFxbF169adxl999dW85M0276c+9am85AVoydSw+undu3di/M0338xr/tdffz0xvscee+Q1PwDpMWrUqPjLX/6SMT5nzpw499xzc5Zv/vz5sWbNmozxioqKaNu2bc7yAQANM2bMmJg6dWrU1tbuND5r1qyYMGFClJSUNDrXAw88EDU1NRnjJ5xwQotrtg1A7mzZsiWmT5+eOOZzn/tclJWVNdGKAArLEUccEV26dImNGzfuNP7444/HhRdeGD179mx0rqeffjqWL1+eMT5ixIjo3r17o/MAULjsLwBoCs5QAACAQtGmuRcAAIXE7WgAtGbqWP116dIlRo0alTH+/vvvx4svvpjzvI8//nhi/KCDDsp5ToDWQA3Lrry8PPHhlCVLlsSqVavyln/u3LmJ8f79++ctNwDpcvzxxyc2s3r00Udj+/btOcs3e/bsxHi27yEAQH7tvvvuccwxx2SMV1VVxT333NPoPBs2bIgZM2ZkjBcVFcXXv/71RucBoOW6+eabExutREScdNJJTbQagMJTUlISJ598csb4li1b4rbbbmt0nq1bt8att96aOMZ3fwAay/4CgKbgDAUAACgUmmsBQBPacTtaJo8//nhUVVXlJJfb0QDINXWsYb70pS8lxu+///6c5nvppZdi8eLFGeMdOnSIww47LKc5AVoLNSy79u3bx/7775845oknnshL7ldeeSXxd1ZUVBRDhgzJS24A0qdHjx5RUVGRMf7ee+/Fn//855zkWr16dcyZMydjvGvXrjFy5Mic5AIAdt2ZZ56ZGP/Zz34W7777bqNyTJkyJdavX58xfsQRR8SAAQMalQOAhstlc+UkDz74YNx9992JY/bYY48YM2ZMk6wHoFCdfvrpUVxcnDH+0EMPxSuvvNKoHDNmzIilS5dmjO+3337+JgiQUvYXAKSRMxQAAKAQaK4FAE3I7WgAtGbqWMMcccQRUV5enjH+xz/+MV577bWc5Kqrq4vbb789cczo0aOjtLQ0J/kAWhs1rH6GDx+eGP/FL34RmzZtynneW265JTF+wAEHRFlZWc7zApBe3/jGNxLjt9xyS9TW1jY6z6233hpbt27NGD/llFOipKSk0XkAgMYZMmRIHHnkkRnjNTU18b3vfS+qq6t3af7Zs2fHQw89lDHepk2bmDhx4i7NDUDjnHXWWTFr1qzEvVtj3XfffXHNNddkHXf22WcnNnwBoPF69eoVX/3qVzPGa2tr44ILLojVq1fv0vzz5s2LadOmJY4577zzdmluAFo++wsA0sgZCgAAUAg01wKAJpaW29Euu+yy2H///TP+u+yyyxo1PwAtkzpWf+3atYvx48dnjG/bti0uu+yynDxs85vf/CZeeumlxDHZXi4HSDs1LLsTTjghMb527dqYMmXKLs+/Mw899FDMnz8/cczxxx+f05wANK+m2I+NHDky9ttvv4zxt956K2bOnNmoHC+//HLMnj07Y7y4uDi++c1vNioHAJA7V1xxRWLTy0WLFsWECRNi3bp1DZr30Ucfjf/5n/9JHDNu3LgYPHhwg+YFIDfef//9uPrqq+Ooo46Ku+66Kz744IOczb1u3bo4//zz47rrrott27Yljh0yZEiccsopOcsNQGaTJk2Kbt26ZYyvXLkyzjjjjFi+fHmD5p07d26cc845if/PP+yww+KYY45p0LwAtB72FwCklTMUAAAg7TTXAoAm5nY0AFozdaxhxo0bF3vttVfG+Ouvvx6TJ0+O7du373KOefPmxY033pg4pqKiIoYOHbrLOQDSQA3LbsiQIVkfVLn//vvj7rvvzkm+efPmxdVXX504pn379jF27Nic5AOgcBQVFcWkSZMSx9x6661ZGzxmsnr16rjooosS93Jf/epXY/fdd9+l+QGgpdi2bVtUVlY26F9VVVXinDU1NQ2ec+PGjY3+LP369cv6/WDBggUxduzYeOaZZ7LOV1VVFVdccUVceumlUVtbm3Fcr1694sILL2zwegHIrffffz9uuummGDlyZHz3u9+N3/3ud7v8t+AVK1bEDTfcEEcddVQ8+eSTWcd37do1brrppmjTxuO6AE2ha9euceWVVyaOWbJkSYwdOzYeeeSRrM9rVFdXx4033hjjx4+PmpqajOM6deqU9dwLgHSwvwBgh7ScozhDAQAA0q5dcy8AAArRpEmT4vHHH8/YtX/H7WgzZsyIPn361HveuXPnxsSJE92OBkBeqWP1V1JSEldddVWceeaZGcc8+uijsWXLlvjxj38c7du3b9D8zzzzTHz/+9+Pjz/+OOOYdu3axSWXXNKgeQHSSg3L7uyzz45zzz03ccyPf/zjqKysjEsvvTTxxrokv/rVr2Lq1KmxdevWxHGnnHJK9OzZc5dyAFDYjj322Dj00ENj3rx5O41v27Ytvvvd78b06dPj0EMPrfe8y5Yti+985zuxatWqjGO6d+/e4ptqAkB9rFq1Ko4++uiczvnUU0/FU0891aCfmThxYtaXOurjO9/5TsyfPz+ef/75jGNWrFgR55xzTuy3335x/PHHx6c//eno1atXlJSUxIYNG2Lx4sUxd+7c+NOf/hSbN29OzNe2bdu4+eabo1u3bo1eOwC5sW3btnj22Wfj2WefjYiI3XbbLT75yU/GAQccEHvvvXd07do1ysrKoqysLDp06BAbN26MDRs2RFVVVfzjH/+Il19+ORYvXhx1dXX1yldSUhI//elPo1+/fvn8WAD8lzFjxsSLL74YDz74YMYx69evj8svvzymTZsWY8aMiaFDh0bv3r2jQ4cOUV1dHW+//XbMnz8/nnzyyfjwww+z5rz22msTL18DIH3sLwBI0zmKMxQAACDNNNcCgGaw43a0Cy64IOOYHbejXXrppfHFL34x8YaZ6urquPPOO2PmzJmJN6m5HQ2AXFDHGmbEiBExbty4ePjhhzOOmTNnTixcuDAuv/zyGD16dNY5V61aFT/5yU9izpw5WcdOnDgxBg0a1KA1A6SVGpbd6NGj4/DDD4/nnnsucdyvf/3rmDdvXkyYMCHGjBkTxcXF9Zr/r3/9a8yYMSNeeumlrGN79OihMQnAf9m2bVtiU6edqe+tpw3RpUuX6NKlS4N+pjlcffXV8aUvfSlqamp2Gq+pqYkzzzwzxo8fH2eddVZ06tQp41zbt2+Phx9+OKZOnRobNmxIzHvllVe2it8PABSaoqKiuPnmm+O0006LN954I3Hsm2++GW+++Wajcl1zzTUxbNiwXZ4DgPxbs2ZNrFmzJv7617/mfO4OHTrEbbfdFhUVFTmfG4DsrrzyyqisrIwXXnghcVxlZWX8/Oc/b1Suc889Nz7/+c83ag4AWj/7CwBaM2coAABAmmmuBQDNxO1oALRm6ljDXHXVVbFo0aJ47bXXMo6prKyMc889N/r06RNHHXVUDBs2LHr27Bk9evSImpqaqKqqiqVLl8YzzzwTCxYsiNra2qx5jzzyyJgwYUIuPwpAq6eGZXfDDTfE2LFjY82aNYnjlixZEpdeemlMmTIlhg8fHsOGDYv+/fv/5/bVmpqaWL9+faxcuTIWLFgQ8+fPj2XLltVrDW3bto2pU6dqTALwX9J062lT6N+/f1x77bVx0UUXZRxTW1sbP//5z2PWrFlxwgknxCGHHBL77LNPdO7cOWpqamLFihXx97//PZ544olYvnx51pxf+cpX4sQTT8zlxwAAcqhr165x9913x7e+9a1GvfiRpE2bNjF58uQ4+eST8zI/AC1f796944477ogDDzywuZcCULBKSkpi+vTpcdZZZ8X8+fPzlmf8+PEuiwEgr+wvAGgqzlAAAIC00lwLAJqR29EAaM3Usfrr0KFD3HnnnXHaaafFe++9lzh2+fLlcd9998V9993XqJxDhw6Nm2++Odq2bduoeQDSSA1Ltvvuu8f06dPj29/+dr2ah33wwQcxZ86cmDNnTs7WMHnyZDeuApATJ510Urz99tsxffr0xHEbN26MBx54IB544IFdzlVRURGTJ0/e5Z8HAJpGjx494v77749LLrkk/vSnP+V07rKysrjpppti1KhROZ0XgNahqKgoTjnllLjoootcHADQApSWlsbMmTPj+uuvj1mzZuV07pKSkvjBD34QX/7yl3M6LwDsYH8BQHNwhgIAAKRRm+ZeAAAUsh23ow0fPjyvedyOBkA+qGMNs8cee8S9994be++9d95zjRgxIn75y19Gx44d854LoDVSw7IbMmRI3HPPPbH77rs3ad7i4uK47rrr4mtf+1qT5gUg3c4///wYP358XnMMHz48pk2bFiUlJXnNAwDkRqdOnWLatGnxk5/8JHr06JGTOY877rh44oknvBQC0IIMHDgwiouL856nqKgoRo8eHY888khce+21XnwHaEGKi4vj6quvjrvuuiv69u2bkzmHDx8ejz76qMZaAAXG/gKAQuEMBQAASBvNtQCgme24He3UU0/N+dwlJSVx/fXXx8UXX5zzuQEgQh1rqD333DMeeuihOPbYY/Myf5s2beKcc86Ju+66S2MtgCzUsOwGDx4cs2fPjpEjRzZJvv79+8evf/3rOPnkk5skHwCF5eKLL47rr78+Ly89nHrqqTFz5swoLS3N+dwAQH598YtfjKeffjquuOKK6NevX4N/vri4OE488cR48MEH47bbbotevXrlYZUA7Kobb7wxXnrppZg5c2ZMmDAhhg0bFp07d87J3EVFRTFo0KCYNGlSPPPMMzFt2rQ44IADcjI3ALk3atSomDNnTtxwww0xaNCgBv98mzZtYuTIkTFz5sy49957Y8CAAXlYJQAtmf0FAIXGGQoAAJAW7Zp7AQDA/96OduSRR8YPf/jDWLZsWaPnHD58ePzgBz/wEAcAeaeONUznzp3j9ttvjzlz5sSUKVNi5cqVOZn3oIMOismTJ3uoBqAB1LDsevbsGTNmzIinnnoq7rjjjnjzzTdznqNbt25xxhlnxBlnnBElJSU5nx8Advjyl78cQ4cOjWuuuSbmz5/f6Pn69u0bV155pZtVAUit8vLyeOONN5p7GXnXuXPnOP300+P000+P119/PZ577rl47bXXYvHixVFVVRWbNm2KrVu3RseOHaOsrCz69esXAwcOjIMPPjgqKipy9hIlAPnRsWPHGDFiRIwYMSIiIurq6qKysjJee+21WLp0aaxYsSJWrVoVK1eujI0bN8ZHH30Umzdvji1btkS7du2iffv20aVLl9htt92iV69eMXDgwNh///3joIMOih49ejTzpwOgIUpKSmLcuHExbty4ePfdd+Mvf/lL/Otf/4rFixfH6tWrY9OmTbFly5YoLS2Nzp07R3l5eey7777x2c9+Ng4//PDo3r17c38EAJqZ/QUA/1chnKM4QwEAANJAcy0AaEFGjRoVhx56aPzhD3+Ie++9N15//fUG/XybNm1ixIgRcfrpp//n0A4Amoo61jAnnnhiHH300fH73/8+fvvb38aiRYsaPEdpaWmMGjUqvvGNb8TBBx+ch1UCFAY1LLvjjjsujj322Hjuuefisccei2effTY2bdq0y/O1a9cuhg0bFieddFKMGTMmSktLc7haAMhswIABce+998bcuXPjnnvuieeffz62b9/eoDkGDRoUp512WnzhC1/QGBIAUmbQoEExaNCg5l4GAHlUVFQUffv2jb59+zb3UgBoRnvttVd885vfbO5lANDK2V8AUEicoQAAAK1VUV1dXV1zLwIA2Dm3owHQmqljDVNZWRlz586NhQsXxpIlS2LFihVRXV0dmzdvjrZt20ZpaWn07NkzysvLY9CgQTF06NAYPnx4dOzYsbmXDpA6alh227Zti4ULF8bChQvjjTfeiGXLlsWaNWti7dq1sXnz5ti6dev/d+tqz549o0+fPrHvvvvG4MGDY9iwYW6lA6BFWLt2bTz33HPxyiuvxOLFi6OysjKqq6vjo48+ipKSkujUqVP06tXrPzVs1KhRsddeezX3sgEAAAAAAAAAAAAAyEJzLQAAAAAAAAAAAAAAAAAAAAAAAFKjTXMvAAAAAAAAAAAAAAAAAAAAAAAAAHJFcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAAAAFJDcy0AAAAAAAAAAAAAAAAAAAAAAABSQ3MtAAAAAAAAAAAAAAAAAAAAAAAAUkNzLQAAAAAAAAAAAAAAAAAAAAA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      "text/plain": [
       "
" ] }, "metadata": { "image/png": { "height": 559, "width": 2411 } }, "output_type": "display_data" } ], "source": [ "az.plot_energy(log_logistic_trace);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray ()> Size: 8B\n",
       "array(1.00362466)
" ], "text/plain": [ " Size: 8B\n", "array(1.00362466)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "az.rhat(log_logistic_trace).to_array().max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, we calculate the posterior expected survival functions for this model." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [events]\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a4bcfaaf97f64c60bc1be091bb2e5085", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with log_logistic_model:\n",
    "    pm.set_data(\n",
    "        {\"predictors\": X_pp, \"censored\": cens_pp, \"y_obs\": np.zeros(2), \"y_cens\": np.zeros(0)}\n",
    "    )\n",
    "    pp_log_logistic_trace = pm.sample_posterior_predictive(log_logistic_trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "pp_samples = az.extract(pp_log_logistic_trace.posterior_predictive[\"events\"])\n",
    "\n",
    "linear_pred = y.mean() + y.std() * pp_samples\n",
    "\n",
    "log_logistic_pp_surv = np.exp(linear_pred) >= t_plot\n",
    "\n",
    "log_logistic_pp_surv_mean = log_logistic_pp_surv.mean(dim=\"sample\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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