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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Import dependencies"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np # For basic linear algebra obejcts and operations.\n",
"import pandas as pd # Tabular data library\n",
"import matplotlib.pyplot as plt # Charting library\n",
"import pymc3 as pm # Bayesian modeling library"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Gompertz\n",
"We use the [Gompertz function](https://en.wikipedia.org/wiki/Gompertz_function) to model parametric growth. The parametrization we use is diffent from the one on the Wikipedia page. But allows a better interpretation of the results.\n",
"\n",
"There are three parameters to be estimated:\n",
"- the emergence yield $\\alpha$,\n",
"- emergence uniformity $k$\n",
"- and emergence half-time $t_m$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from numpy import exp\n",
"\n",
"def gompertz(t, k, tm, a=1):\n",
" \"\"\"\n",
" Gompertz function.\n",
" \n",
" Args:\n",
" - t: time\n",
" - a: asymptote\n",
" - k: growth rate, y-axis scaling\n",
" - tm: the displacement along the t-axis\n",
" \"\"\"\n",
" return a * exp(-exp(-k*(t - tm)))\n",
"\n",
"\n",
"def gompertz_der(t, k, tm, a=1):\n",
" \"\"\"\n",
" Derivation of the Gompertz function.\n",
" \n",
" Args:\n",
" - t: time\n",
" - a: asymptote\n",
" - k: growth rate, y-axis scaling\n",
" - tm: the displacement along the t-axis\n",
" \"\"\"\n",
" pom = exp(-k*(t - tm))\n",
" return k * a * exp(-pom) * pom"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data loading"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"data = pd.read_excel('./ShortResults.xlsx', sheet_name=0)\n",
"\n",
"names = data['code'].values\n",
"data_values = data[[plant for plant in range(0, 110)]]\n",
"sorted_values = np.sort(data_values.values, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"diffs = np.diff(sorted_values, axis=1)\n",
"non_zero_diffs = diffs[np.where(diffs != 0)]\n",
"diff_values, diff_counts = np.unique(non_zero_diffs, return_counts=True)\n",
"dt = diff_values[np.argmax(diff_counts)]\n",
"\n",
"start_time, end_time = 0, data_values.max().max() - dt # POZOR: end_time = posledni mereni - dt"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"time = np.arange(start=start_time, stop=end_time, step=dt)\n",
"\n",
"X = np.zeros(shape=(sorted_values.shape[0], len(time)))\n",
"for i, t in enumerate(time):\n",
" X[:, i] = (sorted_values <= t).sum(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1888x2891\n"
]
}
],
"source": [
"n = 14 # We choose one of the growt curves.\n",
"\n",
"pit_times = sorted_values[n, :] # Extract it's pit times.\n",
"n_pits = pit_times.shape[0] # Number of pit events.\n",
"x = X[n, :] / n_pits # Growth in different format (for charts).\n",
"name = names[n] # Name to identify the growth curve.\n",
"print(name)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model definition\n",
"\n",
"In our analysis we use a novel likelihood function specificaly designed for our time-to-event data problem in plant biology. It is not to be found in any standard Bayesian modeling library. Here we define our custom likelihood class for *pymc3* package."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from pymc3 import Continuous\n",
"import theano.tensor as tt\n",
"\n",
"class SurvivalLikelihood(Continuous):\n",
"\n",
" def __init__(self, alpha, k, tm, *args, **kwargs):\n",
" \"\"\"\n",
" Custom time-to-event data likelihood.\n",
" \"\"\"\n",
" super(SurvivalLikelihood, self).__init__(*args, **kwargs)\n",
" \n",
" # Three parameters of our model.\n",
" self.alpha = alpha\n",
" self.k = k\n",
" self.tm = tm\n",
"\n",
" def logp(self, pit_times, dt, end_time):\n",
" \"\"\"\n",
" Obligatory definition of logarithm of the\n",
" probability used by pymc3 sampler.\n",
" \"\"\"\n",
"\n",
" n_pits = pit_times.shape[0]\n",
" events = pit_times[np.where((1 - tt.isnan(pit_times)).eval())]\n",
" n_events = events.shape[0]\n",
" \n",
" gomp_t = gompertz(t=events, k=self.k, tm=self.tm)\n",
" gomp_t_dt = gompertz(t=events-dt, k=self.k, tm=self.tm)\n",
"\n",
" g_diff = self.alpha*(gomp_t - gomp_t_dt)\n",
" lik1 = tt.sum(tt.log(g_diff))\n",
"\n",
" lik2 = (n_pits - n_events) * tt.log(1 - self.alpha*gompertz(t=end_time, k=self.k, tm=self.tm))\n",
"\n",
" return lik1 + lik2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Inference"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"with pm.Model() as model:\n",
" # Prior definition\n",
" alpha = pm.Beta('alpha', alpha=9, beta=1)\n",
" k = pm.Normal('k', mu=2, sd=0.5)\n",
" tm = pm.Normal('tm', mu=5, sd=2)\n",
" \n",
" # Likelihood definition\n",
" likelihood = SurvivalLikelihood('likelihood', alpha=alpha, k=k, tm=tm,\n",
" observed={'pit_times': pit_times, 'dt': dt, 'end_time': end_time})"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [tm, k, alpha]\n",
"Sampling 2 chains: 100%|██████████| 3000/3000 [00:04<00:00, 701.12draws/s]\n"
]
}
],
"source": [
"with model:\n",
" # Sampling 1000 steps with 500 tuning samples usign SOTA sampler NUTS.\n",
" trace = pm.sample(1000, tune=500)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>sd</th>\n",
" <th>mc_error</th>\n",
" <th>hpd_2.5</th>\n",
" <th>hpd_97.5</th>\n",
" <th>n_eff</th>\n",
" <th>Rhat</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>k</th>\n",
" <td>1.401759</td>\n",
" <td>0.112826</td>\n",
" <td>0.002291</td>\n",
" <td>1.187312</td>\n",
" <td>1.626945</td>\n",
" <td>2339.757648</td>\n",
" <td>0.999527</td>\n",
" </tr>\n",
" <tr>\n",
" <th>tm</th>\n",
" <td>4.982699</td>\n",
" <td>0.078871</td>\n",
" <td>0.001780</td>\n",
" <td>4.836722</td>\n",
" <td>5.137834</td>\n",
" <td>1983.594723</td>\n",
" <td>0.999662</td>\n",
" </tr>\n",
" <tr>\n",
" <th>alpha</th>\n",
" <td>0.900629</td>\n",
" <td>0.026849</td>\n",
" <td>0.000450</td>\n",
" <td>0.847611</td>\n",
" <td>0.949898</td>\n",
" <td>2799.210395</td>\n",
" <td>0.999625</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean sd mc_error hpd_2.5 hpd_97.5 n_eff Rhat\n",
"k 1.401759 0.112826 0.002291 1.187312 1.626945 2339.757648 0.999527\n",
"tm 4.982699 0.078871 0.001780 4.836722 5.137834 1983.594723 0.999662\n",
"alpha 0.900629 0.026849 0.000450 0.847611 0.949898 2799.210395 0.999625"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.summary(trace) # Summary of the posterior distributions."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x432 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Results\n",
"\n",
"One hundred samples of the possible emergence curves drawn from the posterior"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"samples_alpha = np.random.choice(trace['alpha'][-1000:], 100)\n",
"samples_k = np.random.choice(trace['k'][-1000:], 100)\n",
"samples_tm = np.random.choice(trace['tm'][-1000:], 100)\n",
"\n",
"plt.figure(figsize=(15, 5))\n",
"\n",
"a, k, tm = samples_alpha[0], samples_k[0], samples_tm[0]\n",
"model_fit = a * gompertz(time, k=k, tm=tm)\n",
"plt.plot(time, model_fit, color='r', lw=0.1, label='Posterior sample')\n",
"for i in range(100):\n",
" a, k, tm = samples_alpha[i], samples_k[i], samples_tm[i]\n",
" model_fit = a * gompertz(time, k=k, tm=tm)\n",
" plt.plot(time, model_fit, color='r', lw=0.1)\n",
"# plt.title(name)\n",
"plt.plot(time, x, color='k', lw=3, label='Data')\n",
"\n",
"plt.xlabel('Time [days]')\n",
"plt.ylabel('Emerged proportion')\n",
"plt.xlim((time.min(), time.max()))\n",
"plt.yticks(np.arange(0, 1.1, 0.1))\n",
"plt.ylim((0, 1))\n",
"plt.grid(alpha=0.5)\n",
"\n",
"plt.legend()\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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