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PyMC3 Poisson-Zero HMM Testing Example
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING (theano.tensor.blas): Using NumPy C-API based implementation for BLAS functions.\n"
]
}
],
"source": [
"import numpy as np\n",
"\n",
"import theano.tensor as tt\n",
"\n",
"import pymc3 as pm\n",
"import arviz as az\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from pymc3_hmm.distributions import HMMStateSeq, SwitchingProcess\n",
"from pymc3_hmm.step_methods import FFBSStep, TransMatConjugateStep\n",
"\n",
"\n",
"def simulate_poiszero_hmm(N, mus=[10.0, 30.0],\n",
" pi_0_a=np.r_[1, 1, 1],\n",
" Gamma=np.r_['0,2,1',\n",
" [5, 1, 1],\n",
" [1, 3, 1],\n",
" [1, 1, 5]]\n",
" ):\n",
"\n",
" assert pi_0_a.size == mus.size + 1 == Gamma.shape[0] == Gamma.shape[1]\n",
"\n",
" with pm.Model() as test_model:\n",
"\n",
" trans_rows = [pm.Dirichlet(f'p_{i}', r) for i, r in enumerate(Gamma)]\n",
" P_tt = tt.stack(trans_rows)\n",
" P_rv = pm.Deterministic('P_tt', P_tt)\n",
"\n",
" pi_0_tt = pm.Dirichlet('pi_0', pi_0_a)\n",
"\n",
" S_rv = HMMStateSeq('S_t', N, P_rv, pi_0_tt)\n",
"\n",
" Y_rv = SwitchingProcess('Y_t',\n",
" [pm.Constant.dist(0)] + [pm.Poisson.dist(mu)\n",
" for mu in mus],\n",
" S_rv, observed=np.zeros(N))\n",
"\n",
" y_test_point = pm.sample_prior_predictive(samples=1)\n",
"\n",
" return y_test_point, test_model\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n"
]
}
],
"source": [
"# Simulate some data from a two component Poisson-Zero HMM\n",
"poiszero_sim, _ = simulate_poiszero_hmm(2000, np.r_[5000, 7000])\n",
"\n",
"y_test = poiszero_sim['Y_t']"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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"execution_count": 3,
"metadata": {},
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{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fd79e814d68>]"
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"metadata": {},
"output_type": "execute_result"
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"data": {
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"execution_count": 3,
"metadata": {},
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"data": {
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"execution_count": 3,
"metadata": {},
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{
"data": {
"text/plain": [
"<Figure size 432x288 with 0 Axes>"
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},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1080x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.clf()\n",
"\n",
"# Plot the simulated observations and true underlying state sequence\n",
"fig, ax = plt.subplots(figsize=(15, 6.0), nrows=2)\n",
"\n",
"ax[0].plot(y_test,\n",
" label=r'$y_t$', color='black',\n",
" drawstyle='steps-pre', linewidth=0.5)\n",
"\n",
"ax[1].plot(poiszero_sim['S_t'],\n",
" label=r'$S_t$', color='blue',\n",
" drawstyle='steps-pre', linewidth=0.5)\n",
"\n",
"for ax_ in ax:\n",
" ax_.legend()\n",
"\n",
"plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n"
]
}
],
"source": [
"# Define a model with (mostly) the same assumptions as our simulated data\n",
"with pm.Model() as test_model:\n",
" p_0_rv = pm.Dirichlet('p_0', np.r_[1, 1, 1])\n",
" p_1_rv = pm.Dirichlet('p_1', np.r_[1, 1, 1])\n",
" p_2_rv = pm.Dirichlet('p_2', np.r_[1, 1, 1])\n",
"\n",
" P_tt = tt.stack([p_0_rv, p_1_rv, p_2_rv])\n",
" P_rv = pm.Deterministic('P_tt', P_tt)\n",
"\n",
" pi_0_tt = poiszero_sim['pi_0']\n",
"\n",
" S_rv = HMMStateSeq('S_t', y_test.shape[0], P_rv, pi_0_tt)\n",
" S_rv.tag.test_value = (y_test > 0).astype(np.int)\n",
"\n",
" E_1_mu, Var_1_mu = 1000.0, 1000.0\n",
" mu_1_rv = pm.Gamma('mu_1', E_1_mu**2 / Var_1_mu, E_1_mu / Var_1_mu)\n",
"\n",
" E_2_mu, Var_2_mu = 100.0, 100.0\n",
" mu_2_rv = pm.Gamma('mu_2', E_2_mu**2 / Var_2_mu, E_2_mu / Var_2_mu)\n",
"\n",
" Y_rv = SwitchingProcess('Y_t',\n",
" [pm.Constant.dist(0),\n",
" pm.Poisson.dist(mu_1_rv),\n",
" pm.Poisson.dist(mu_1_rv + mu_2_rv)],\n",
" S_rv, observed=y_test)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"Sequential sampling (1 chains in 1 job)\n",
"CompoundStep\n",
">FFBSStep: [S_t]\n",
">NUTS: [mu_2, mu_1]\n",
">TransMatConjugateStep: [p_0, p_1, p_2]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='3000' class='' max='3000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [3000/3000 03:13<00:00 Sampling chain 0, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/bwillard/apps/anaconda3/envs/pymc3-hmm/lib/python3.7/site-packages/theano/tensor/subtensor.py:2197: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
" rval = inputs[0].__getitem__(inputs[1:])\n",
"Sampling 1 chain for 1_000 tune and 2_000 draw iterations (1_000 + 2_000 draws total) took 194 seconds.\n",
"The acceptance probability does not match the target. It is 0.8828851292460731, but should be close to 0.8. Try to increase the number of tuning steps.\n",
"Only one chain was sampled, this makes it impossible to run some convergence checks\n"
]
}
],
"source": [
"# Generate posterior samples using our step method(s) (and possibly other ones)\n",
"with test_model:\n",
" mu_step = pm.NUTS([mu_1_rv, mu_2_rv])\n",
" ffbs = FFBSStep([S_rv])\n",
" transitions = TransMatConjugateStep([p_0_rv, p_1_rv, p_2_rv], S_rv)\n",
" steps = [\n",
" ffbs,\n",
" mu_step,\n",
" transitions\n",
" ]\n",
" trace = pm.sample(2000,\n",
" step=steps,\n",
" chains=1,\n",
" return_inferencedata=True)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7fd798e124a8>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd796c78080>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bf105c0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bec15f8>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7fd79be6f630>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bea1668>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7fd79be546a0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79be02d30>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bdb4e48>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bde5e10>]],\n",
" dtype=object)"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 864x720 with 10 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot the posterior sample chains and their marginal distributions\n",
"pm.traceplot(trace, var_names=['mu_1', 'mu_2', 'p_0', 'p_1', 'p_2'], compact=True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bc0ee80>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bbdf828>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bb91630>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bb41b70>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bafc9b0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bab2eb8>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79bae69e8>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79ba9de48>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79ba52cc0>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79ba09b38>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x7fd79b9be9b0>]],\n",
" dtype=object)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1490.4x1324.8 with 12 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot the posterior auto-correlations\n",
"az.plot_autocorr(trace, var_names=['mu_1', 'mu_2', 'p_0', 'p_1', 'p_2'])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='2000' class='' max='2000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [2000/2000 08:08<00:00]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Sample posterior predictive values\n",
"with test_model:\n",
" adds_pois_ppc = pm.sample_posterior_predictive(trace.posterior)\n",
"\n",
"az_post_trace = az.from_pymc3(posterior_predictive=adds_pois_ppc)\n",
"\n",
"# Compute high-density intervals for the posterior predictive samples\n",
"post_pred_imps_hpd_df = az.hdi(az_post_trace, hdi_prob=0.97, group='posterior_predictive',\n",
" var_names=['Y_t']).to_dataframe()\n",
"post_pred_imps_hpd_df = post_pred_imps_hpd_df.unstack(level='hdi')\n",
"post_pred_imps_hpd_df.columns = post_pred_imps_hpd_df.columns.set_levels(['lower', 'upper'], level='hdi')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fd761f9d4e0>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PolyCollection at 0x7fd7622c0828>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fd7622c04a8>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x345.6 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Plot the observed values and the posterior predictive high-density intervals\n",
"fig, ax = plt.subplots(figsize=(15, 4.8))\n",
"\n",
"ax.plot(y_test,\n",
" label=r'$y_t$',\n",
" alpha=0.5,\n",
" color='red',\n",
" linewidth=0.8,\n",
" drawstyle='steps')\n",
"\n",
"ax.fill_between(post_pred_imps_hpd_df.index,\n",
" post_pred_imps_hpd_df['Y_t']['lower'],\n",
" post_pred_imps_hpd_df['Y_t']['upper'],\n",
" label=r'97\\% HDI interval',\n",
" color='b', step='pre',\n",
" alpha=0.3)\n",
"\n",
"ax.legend()\n",
"\n",
"plt.tight_layout()"
]
}
],
"metadata": {
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import numpy as np
import theano.tensor as tt
import pymc3 as pm
import arviz as az
import matplotlib.pyplot as plt
from pymc3_hmm.distributions import HMMStateSeq, SwitchingProcess
from pymc3_hmm.step_methods import FFBSStep, TransMatConjugateStep
def simulate_poiszero_hmm(N, mus=[10.0, 30.0],
pi_0_a=np.r_[1, 1, 1],
Gamma=np.r_['0,2,1',
[5, 1, 1],
[1, 3, 1],
[1, 1, 5]]
):
assert pi_0_a.size == mus.size + 1 == Gamma.shape[0] == Gamma.shape[1]
with pm.Model() as test_model:
trans_rows = [pm.Dirichlet(f'p_{i}', r) for i, r in enumerate(Gamma)]
P_tt = tt.stack(trans_rows)
P_rv = pm.Deterministic('P_tt', P_tt)
pi_0_tt = pm.Dirichlet('pi_0', pi_0_a)
S_rv = HMMStateSeq('S_t', N, P_rv, pi_0_tt)
Y_rv = SwitchingProcess('Y_t',
[pm.Constant.dist(0)] + [pm.Poisson.dist(mu)
for mu in mus],
S_rv, observed=np.zeros(N))
y_test_point = pm.sample_prior_predictive(samples=1)
return y_test_point, test_model
# Simulate some data from a Poisson-Zero HMM
poiszero_sim, _ = simulate_poiszero_hmm(3000, np.r_[5000, 7000])
y_test = poiszero_sim['Y_t']
# Plot the simulated observations and true underlying state sequence
fig, ax = plt.subplots(figsize=(15, 6.0), nrows=2)
ax[0].plot(y_test,
label=r'$y_t$', color='black',
drawstyle='steps-pre', linewidth=0.5)
ax[1].plot(poiszero_sim['S_t'],
label=r'$S_t$', color='blue',
drawstyle='steps-pre', linewidth=0.5)
for ax_ in ax:
ax_.legend()
plt.tight_layout()
# Define a model with (mostly) the same assumptions as our simulated data
with pm.Model() as test_model:
p_0_rv = pm.Dirichlet('p_0', np.r_[1, 1, 1])
p_1_rv = pm.Dirichlet('p_1', np.r_[1, 1, 1])
p_2_rv = pm.Dirichlet('p_2', np.r_[1, 1, 1])
P_tt = tt.stack([p_0_rv, p_1_rv, p_2_rv])
P_rv = pm.Deterministic('P_tt', P_tt)
pi_0_tt = poiszero_sim['pi_0']
S_rv = HMMStateSeq('S_t', y_test.shape[0], P_rv, pi_0_tt)
S_rv.tag.test_value = (y_test > 0).astype(np.int)
E_1_mu, Var_1_mu = 1000.0, 1000.0
mu_1_rv = pm.Gamma('mu_1', E_1_mu**2 / Var_1_mu, E_1_mu / Var_1_mu)
E_2_mu, Var_2_mu = 100.0, 100.0
mu_2_rv = pm.Gamma('mu_2', E_2_mu**2 / Var_2_mu, E_2_mu / Var_2_mu)
Y_rv = SwitchingProcess('Y_t',
[pm.Constant.dist(0),
pm.Poisson.dist(mu_1_rv),
pm.Poisson.dist(mu_1_rv + mu_2_rv)],
S_rv, observed=y_test)
# Generate posterior samples using our step method(s) (and possibly other ones)
with test_model:
mu_step = pm.NUTS([mu_1_rv, mu_2_rv])
ffbs = FFBSStep([S_rv])
transitions = TransMatConjugateStep([p_0_rv, p_1_rv, p_2_rv], S_rv)
steps = [
ffbs,
mu_step,
transitions
]
trace = pm.sample(2000,
step=steps,
chains=1,
return_inferencedata=True)
# Plot the posterior sample chains and their marginal distributions
pm.traceplot(trace, var_names=['mu_1', 'mu_2', 'p_0', 'p_1', 'p_2'], compact=True)
# Plot the posterior auto-correlations
az.plot_autocorr(trace, var_names=['mu_1', 'mu_2', 'p_0', 'p_1', 'p_2'])
# Sample posterior predictive values
with test_model:
adds_pois_ppc = pm.sample_posterior_predictive(trace.posterior)
az_post_trace = az.from_pymc3(posterior_predictive=adds_pois_ppc)
# Compute high-density intervals for the posterior predictive samples
post_pred_imps_hpd_df = az.hdi(az_post_trace, hdi_prob=0.97, group='posterior_predictive',
var_names=['Y_t']).to_dataframe()
post_pred_imps_hpd_df = post_pred_imps_hpd_df.unstack(level='hdi')
post_pred_imps_hpd_df.columns = post_pred_imps_hpd_df.columns.set_levels(['lower', 'upper'], level='hdi')
# Plot the observed values and the posterior predictive high-density intervals
fig, ax = plt.subplots(figsize=(18, 4.8))
ax.plot(y_test,
label=r'$y_t$',
alpha=0.5,
color='red',
linewidth=0.8,
drawstyle='steps')
ax.fill_between(post_pred_imps_hpd_df.index,
post_pred_imps_hpd_df['Y_t']['lower'],
post_pred_imps_hpd_df['Y_t']['upper'],
label=r'97\% HDI interval',
color='b', step='pre',
alpha=0.3)
ax.legend()
plt.tight_layout()
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