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@uhho
Created April 4, 2017 01:22
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Multivariate Normal vs Multiple Normal
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pymc3 as pm\n",
"import pandas as pd\n",
"from itertools import product, combinations\n",
"import theano.tensor as tt\n",
"from scipy import stats\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('bmh')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Multivariate Normal vs Multiple Normal model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"columns = ['x1', 'x2', 'x3']\n",
"covariance = np.matrix([[2, 1., -.5],\n",
" [1., 1., 0.1],\n",
" [-.5, 0.1, 0.5]])\n",
"\n",
"prec = np.linalg.inv(covariance)\n",
"\n",
"mean = [.5, 1, .2]\n",
"data = pd.DataFrame(stats.multivariate_normal(mean, covariance).rvs(1000), columns=columns)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>x1</th>\n",
" <th>x2</th>\n",
" <th>x3</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>-3.167987</td>\n",
" <td>-1.605318</td>\n",
" <td>0.795688</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.181525</td>\n",
" <td>0.578477</td>\n",
" <td>-0.076634</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>2.316281</td>\n",
" <td>1.079413</td>\n",
" <td>-0.596280</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.784006</td>\n",
" <td>-0.158159</td>\n",
" <td>-0.236722</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1.717891</td>\n",
" <td>2.233408</td>\n",
" <td>0.850813</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 x3\n",
"0 -3.167987 -1.605318 0.795688\n",
"1 0.181525 0.578477 -0.076634\n",
"2 2.316281 1.079413 -0.596280\n",
"3 0.784006 -0.158159 -0.236722\n",
"4 1.717891 2.233408 0.850813"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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25wV93+FgWZPVmsh1SKoabRWu47AoGy4MPDJtuLMoGScVsa8YBA5F3TDLa9ZC55kWOq7C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wpk07Dai1nrBhzOC/o+9F3JZDohiWNQkr3U4DmComrAKJwQjuYlt33Jbliwvr7+xPUdjUafum++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\nyk1SAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f894caf8198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"g = sns.pairplot(data, plot_kws={\"alpha\":0.3}, palette='muted')\n",
"for i, j in product(range(3), range(3)):\n",
" g.axes[i,j].set_xlim(-5, 5)\n",
" g.axes[i,j].set_ylim(-5, 5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Models"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_samples = 10000\n",
"n_burn = 8000\n",
"n_thin = 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multiple Normal Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model\n",
"\n",
"This model assumes all variables are independent"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with pm.Model() as model_multiple: \n",
" D = data.shape[1]\n",
" # mean\n",
" mu = pm.Normal('mu', mu=0, sd=1, shape=D)\n",
" # standard deviation\n",
" sd = pm.HalfCauchy('sd', beta=10, shape=D)\n",
" # likelihood\n",
" lp = pm.Normal('likelihood', mu=mu, sd=sd, observed=data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitting"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 4264.791127\n",
" Iterations: 17\n",
" Function evaluations: 27\n",
" Gradient evaluations: 27\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:02<00:00, 4301.17it/s]\n"
]
}
],
"source": [
"with model_multiple:\n",
" start = pm.find_MAP()\n",
" step = pm.Metropolis()\n",
" trace_multiple = pm.sample(n_samples, step=step, start=start, progressbar=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Inspection"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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ARSzaHA6zx2cLj3sBa6++pNS2NSumtv3MVeQGhi0p3yWbjdCmExu0mIzAmuWk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\nXWXUU8fR4ZNjpEAgeNuRH41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eh6VzHcsqxLIKTrtEpddZMjKsFHWwNN04PpVXqfE7sRd1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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89267756a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trace_multiple = trace_multiple[n_burn::n_thin]\n",
"pm.traceplot(trace_multiple, varnames=['mu']);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:06<00:00, 158.41it/s]\n"
]
}
],
"source": [
"# Posterior Predictive Check\n",
"ppc_multiple = pm.sample_ppc(model=model_multiple, trace=trace_multiple, samples=len(data))\n",
"ppc_multiple = pd.DataFrame(ppc_multiple['likelihood'], columns=columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multivariate Normal Model using WishartBartlett decomposition"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Added new variable c to model diagonal of Wishart.\n",
"Added new variable z to model off-diagonals of Wishart.\n"
]
}
],
"source": [
"with pm.Model() as model_multivariate:\n",
" D = data.shape[1]\n",
" # mean\n",
" mu = pm.Normal('mu', mu=0, sd=1, shape=D)\n",
" # covariance matrix\n",
" S = np.eye(D)\n",
" nu = pm.Uniform('nu', D, D*2)\n",
" #nu = D * 2 # degrees of freedom must be larger than dimension\n",
" prec = pm.WishartBartlett('prec', S, nu)\n",
" cov = pm.Deterministic('cov', tt.nlinalg.matrix_inverse(prec))\n",
" \n",
" # likelihood\n",
" lp = pm.MvNormal('likelihood', mu=mu, tau=prec, observed=data)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning: Desired error not necessarily achieved due to precision loss.\n",
" Current function value: 3244.612216\n",
" Iterations: 21\n",
" Function evaluations: 94\n",
" Gradient evaluations: 83\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:09<00:00, 1009.35it/s]\n"
]
}
],
"source": [
"with model_multivariate:\n",
" start = pm.find_MAP()\n",
" step = pm.Metropolis()\n",
" trace_multivariate = pm.sample(n_samples, step=step, start=start)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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lz8r4+6zS3wmjrXTBwlrnp2bj2Sdsnmty2suMf+fyVmL7DpcYUwazOV8lEuia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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89457afb70>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trace_multivariate = trace_multivariate[n_burn::n_thin]\n",
"pm.traceplot(trace_multivariate, varnames=['mu']);"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:06<00:00, 155.99it/s]\n"
]
}
],
"source": [
"ppc_multivariate = pm.sample_ppc(model=model_multivariate, trace=trace_multivariate, samples=len(data))\n",
"ppc_multivariate = pd.DataFrame(ppc_multivariate['likelihood'], columns=columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multivariate model using LKJ prior"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
" with pm.Model() as model_multivariate_lkj:\n",
" D = data.shape[1]\n",
" sigma = pm.Lognormal('sigma', np.zeros(D), np.ones(D), shape=D)\n",
" \n",
" nu = pm.Uniform('nu', D, D*2)\n",
" C_triu = pm.LKJCorr('C_triu', nu, D)\n",
"\n",
" C = pm.Deterministic('C', tt.fill_diagonal(C_triu[np.zeros((D, D), dtype=np.int64)], 1.))\n",
" \n",
" sigma_diag = pm.Deterministic('sigma_mat', tt.nlinalg.diag(sigma))\n",
" cov = pm.Deterministic('cov', tt.nlinalg.matrix_dot(sigma_diag, C, sigma_diag))\n",
" tau = pm.Deterministic('tau', tt.nlinalg.matrix_inverse(cov))\n",
"\n",
" mu = pm.MvNormal('mu', mu=0, tau=tau, shape=D)\n",
" \n",
" # likelihood\n",
" lp = pm.MvNormal('likelihood', mu=mu, tau=tau, observed=data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitting"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 4233.575352\n",
" Iterations: 21\n",
" Function evaluations: 30\n",
" Gradient evaluations: 30\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:11<00:00, 888.73it/s]\n"
]
}
],
"source": [
"with model_multivariate_lkj:\n",
" start = pm.find_MAP()\n",
" step = pm.Metropolis()\n",
" trace_multivariate_lkj = pm.sample(n_samples, step=step, start=start)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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loLNZC+41O2Jcdfsm8NG4eq/WeYrTNNQ8OgDQZ0os0zqdxlnPn2+hs5o10V69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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f890ddec198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"trace_multivariate_lkj = trace_multivariate_lkj[n_burn::n_thin]\n",
"pm.traceplot(trace_multivariate_lkj, varnames=['mu']);"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:05<00:00, 180.54it/s]\n"
]
}
],
"source": [
"ppc_multivariate_lkj = pm.sample_ppc(model=model_multivariate_lkj, trace=trace_multivariate_lkj, samples=len(data))\n",
"ppc_multivariate_lkj = pd.DataFrame(ppc_multivariate_lkj['likelihood'], columns=columns)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Summary"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"compare = pd.concat([data, ppc_multiple, ppc_multivariate, ppc_multivariate_lkj]).reset_index(drop=True)\n",
"compare['type'] = ''\n",
"compare.loc[0:1000, 'type'] = 'data'\n",
"compare.loc[1000:2000, 'type'] = 'multiple'\n",
"compare.loc[2000:3000, 'type'] = 'multivariate'\n",
"compare.loc[3000:4000, 'type'] = 'multivariate_lkj'"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th></th>\n",
" <th>x1</th>\n",
" <th>x2</th>\n",
" <th>x3</th>\n",
" </tr>\n",
" <tr>\n",
" <th>type</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th rowspan=\"3\" valign=\"top\">data</th>\n",
" <th>x1</th>\n",
" <td>1.959387</td>\n",
" <td>0.984951</td>\n",
" <td>-0.476778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x2</th>\n",
" <td>0.984951</td>\n",
" <td>1.002221</td>\n",
" <td>0.124792</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x3</th>\n",
" <td>-0.476778</td>\n",
" <td>0.124792</td>\n",
" <td>0.506955</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"3\" valign=\"top\">multiple</th>\n",
" <th>x1</th>\n",
" <td>1.843291</td>\n",
" <td>0.055388</td>\n",
" <td>-0.007151</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x2</th>\n",
" <td>0.055388</td>\n",
" <td>1.112978</td>\n",
" <td>-0.015378</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x3</th>\n",
" <td>-0.007151</td>\n",
" <td>-0.015378</td>\n",
" <td>0.539059</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"3\" valign=\"top\">multivariate</th>\n",
" <th>x1</th>\n",
" <td>1.914855</td>\n",
" <td>0.969703</td>\n",
" <td>-0.466885</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x2</th>\n",
" <td>0.969703</td>\n",
" <td>0.996714</td>\n",
" <td>0.120749</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x3</th>\n",
" <td>-0.466885</td>\n",
" <td>0.120749</td>\n",
" <td>0.508742</td>\n",
" </tr>\n",
" <tr>\n",
" <th rowspan=\"3\" valign=\"top\">multivariate_lkj</th>\n",
" <th>x1</th>\n",
" <td>1.871188</td>\n",
" <td>0.180479</td>\n",
" <td>0.138329</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x2</th>\n",
" <td>0.180479</td>\n",
" <td>0.885258</td>\n",
" <td>0.069837</td>\n",
" </tr>\n",
" <tr>\n",
" <th>x3</th>\n",
" <td>0.138329</td>\n",
" <td>0.069837</td>\n",
" <td>0.563034</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 x3\n",
"type \n",
"data x1 1.959387 0.984951 -0.476778\n",
" x2 0.984951 1.002221 0.124792\n",
" x3 -0.476778 0.124792 0.506955\n",
"multiple x1 1.843291 0.055388 -0.007151\n",
" x2 0.055388 1.112978 -0.015378\n",
" x3 -0.007151 -0.015378 0.539059\n",
"multivariate x1 1.914855 0.969703 -0.466885\n",
" x2 0.969703 0.996714 0.120749\n",
" x3 -0.466885 0.120749 0.508742\n",
"multivariate_lkj x1 1.871188 0.180479 0.138329\n",
" x2 0.180479 0.885258 0.069837\n",
" x3 0.138329 0.069837 0.563034"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cov = compare.groupby('type').cov()\n",
"cov"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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CBJ599lnuvPNO7rrrLurq6liyZAmxsbH+7CrJycncdNNNPPfcc+h0On75y19S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QTBzXPn8W4isVZe3foGqhjkyi4iCE0rV6BpHsf3n6DjxH7iK5oQolaAWHvxRfJoJN/wS6CB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\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W6qdN37zS9P2NyPXMfaceLB55BOdg+vB+OgZ4/CkeX9pgoz5Pbd8C/bhASDF+9RyelES+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d7di/m39T5BKFk/iPFdibGWmqdIckPVt6wfPr6gajQaaMdjs5twMMoZJgWFNujYIqzg4lz0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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f89048c6668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(3, 3, figsize=(12,12), sharex=False, sharey=False)\n",
"\n",
"for i, m in enumerate(['multiple', 'multivariate', 'multivariate_lkj']):\n",
" for j, (ix, iy) in enumerate(list(combinations([1,2,3], 2))):\n",
" col_x, col_y = 'x{:}'.format(ix), 'x{:}'.format(iy)\n",
" \n",
" mask = compare['type'] == 'data'\n",
" ax[i,j].scatter(compare[mask][col_x], compare[mask][col_y], marker='+', color='#e41a1c', s=30, alpha=0.3, label='data')\n",
"\n",
" mask = compare['type'] == m\n",
" ax[i,j].scatter(compare[mask][col_x], compare[mask][col_y], marker='o', color='#377eb8', s=30, alpha=0.3, label='model')\n",
"\n",
" ax[i,j].set_xlabel(col_x)\n",
" ax[i,j].set_ylabel(col_y)\n",
"\n",
" ax[i,j].set_xlim(-5, 5)\n",
" ax[i,j].set_ylim(-5, 5)\n",
" ax[i,j].set_title('{:}\\nData: {:.2f}, Model: {:.2f}'.format(m, \n",
" cov.loc[('data', col_x), col_y], \n",
" cov.loc[(m, col_x), col_y]))\n",
" ax[i,j].legend()\n",
"\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr>\n",
" <th></th>\n",
" <th colspan=\"2\" halign=\"left\">x1</th>\n",
" <th colspan=\"2\" halign=\"left\">x2</th>\n",
" <th colspan=\"2\" halign=\"left\">x3</th>\n",
" </tr>\n",
" <tr>\n",
" <th></th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" <tr>\n",
" <th>type</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>data</th>\n",
" <td>0.531062</td>\n",
" <td>1.399781</td>\n",
" <td>1.002181</td>\n",
" <td>1.001110</td>\n",
" <td>0.190910</td>\n",
" <td>0.712008</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multiple</th>\n",
" <td>0.510260</td>\n",
" <td>1.357678</td>\n",
" <td>1.009521</td>\n",
" <td>1.054978</td>\n",
" <td>0.172867</td>\n",
" <td>0.734206</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multivariate</th>\n",
" <td>0.481167</td>\n",
" <td>1.383783</td>\n",
" <td>0.969918</td>\n",
" <td>0.998355</td>\n",
" <td>0.189516</td>\n",
" <td>0.713262</td>\n",
" </tr>\n",
" <tr>\n",
" <th>multivariate_lkj</th>\n",
" <td>0.593320</td>\n",
" <td>1.367914</td>\n",
" <td>1.087837</td>\n",
" <td>0.940882</td>\n",
" <td>0.199436</td>\n",
" <td>0.750356</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" x1 x2 x3 \n",
" mean std mean std mean std\n",
"type \n",
"data 0.531062 1.399781 1.002181 1.001110 0.190910 0.712008\n",
"multiple 0.510260 1.357678 1.009521 1.054978 0.172867 0.734206\n",
"multivariate 0.481167 1.383783 0.969918 0.998355 0.189516 0.713262\n",
"multivariate_lkj 0.593320 1.367914 1.087837 0.940882 0.199436 0.750356"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"compare.groupby('type').agg(['mean', 'std'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Observe**\n",
"\n",
"- Mean and standard deviation of each variable approximated correctly in all models\n",
"- Multiple Normal model ignores corelations between variables\n",
"- Multivariate Normal via Wishart-Bartlett decomposition captures relations between variables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**To do**\n",
"\n",
"- Investigate why fitting model using LKJ prior is slow and gives worst results"
]
}
],
"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": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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