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@psteinb
Last active March 28, 2024 14:09
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{
"cells": [
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from tarp import get_tarp_coverage"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"First, we show how to use `get_tarp_coverage` (note that this function used to be called `get_drp_coverage` in a previous version)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [],
"source": [
"def generate_psd_matrix(n):\n",
" # generate random array of appropriate size\n",
" arr_size = int(n * (n - 1) / 2)\n",
" arr = np.random.rand(arr_size)\n",
"\n",
" # convert array to symmetric matrix\n",
" mat = np.zeros((n, n))\n",
" triu_indices = np.triu_indices(n, k=1)\n",
" mat[triu_indices] = arr\n",
" mat += mat.T\n",
"\n",
" # check if matrix is positive semidefinite\n",
" eigenvals = np.linalg.eigvalsh(mat)\n",
" if np.all(eigenvals >= 0):\n",
" return mat\n",
" else:\n",
" # if not, add identity matrix to make it PSD\n",
" mat = mat + np.eye(n) * abs(eigenvals.min()) * 2\n",
" return mat\n",
" \n",
"\n",
"def generate_correlated_samples(num_samples, num_sims, num_dims, covfactor=1.):\n",
" \"\"\" Generate samples and true parameter values \"\"\"\n",
" theta = np.random.uniform(low=-5, high=5, size=(num_sims, num_dims))\n",
" cov = [generate_psd_matrix(num_dims) for _ in range(num_sims)]\n",
" cov = np.concatenate(cov).reshape(num_sims, num_dims, num_dims)\n",
" samples = [np.random.multivariate_normal(mean=theta[i], cov=covfactor*cov[i], size=num_samples) for i in range(num_sims)]\n",
" samples = np.stack(samples)\n",
" samples = samples.transpose(1, 0, 2)\n",
" theta = [np.random.multivariate_normal(mean=theta[i], cov=cov[i], size=1) for i in range(num_sims)]\n",
" theta = np.stack(theta)[:,0]\n",
" return samples, theta"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\" Main function \"\"\"\n",
"samples, theta = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10) # You can decrease the number of simulations for faster computation\n",
"ecp, alpha = get_tarp_coverage(samples, theta, references='random', metric='euclidean', norm = True, seed = 5)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
"\n",
"ax.plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax.plot(alpha, ecp, label='TARP')\n",
"ax.legend()\n",
"ax.set_ylabel(\"Expected Coverage\")\n",
"ax.set_xlabel(\"Credibility Level\")\n",
"ax.set_title(\"correct case\")\n",
"\n",
"plt.subplots_adjust(wspace=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"correct case 0.05249999999999999\n"
]
}
],
"source": [
"print(\"correct case\", np.abs(ecp - alpha).max())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ecp30, alpha30 = get_tarp_coverage(samples, theta, num_alpha_bins=30,references='random', metric='euclidean', norm = True, seed = 5)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
"\n",
"ax.plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax.plot(alpha, ecp, label='TARP')\n",
"ax.legend()\n",
"ax.set_ylabel(\"Expected Coverage\")\n",
"ax.set_xlabel(\"Credibility Level\")\n",
"ax.set_title(\"30 bins\")\n",
"\n",
"plt.subplots_adjust(wspace=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"samples20, theta20 = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=2.)\n",
"ecp20, alpha20 = get_tarp_coverage(samples20, theta20, references='random', metric='euclidean', norm = True, seed = 5)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
"\n",
"ax.plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax.plot(alpha20, ecp20, label='TARP')\n",
"ax.legend()\n",
"ax.set_ylabel(\"Expected Coverage\")\n",
"ax.set_xlabel(\"Credibility Level\")\n",
"ax.set_title(\"2*Cov\")\n",
"\n",
"plt.subplots_adjust(wspace=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"samples20, theta20 = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=2.)\n",
"ecp20_30, alpha20_30 = get_tarp_coverage(samples20, theta20, num_alpha_bins=30, references='random', metric='euclidean', norm = True, seed = 5)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
"\n",
"ax.plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax.plot(alpha20_30, ecp20_30, label='TARP')\n",
"ax.legend()\n",
"ax.set_ylabel(\"Expected Coverage\")\n",
"ax.set_xlabel(\"Credibility Level\")\n",
"ax.set_title(\"2*Cov, 30 bins\")\n",
"\n",
"plt.subplots_adjust(wspace=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2*Cov 0.1742499999999998\n",
"2*Cov 30 bins 0.1742499999999999\n"
]
}
],
"source": [
"print(\"2*Cov\", np.abs(ecp20 - alpha20).max())\n",
"print(\"2*Cov 30 bins\", np.abs(ecp20_30 - alpha20_30).max())"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"samples, theta = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=.5)\n",
"ecp, alpha = get_tarp_coverage(samples, theta, references='random', metric='euclidean', norm = True, seed = 5)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(4, 4))\n",
"\n",
"ax.plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax.plot(alpha, ecp, label='TARP')\n",
"ax.legend()\n",
"ax.set_ylabel(\"Expected Coverage\")\n",
"ax.set_xlabel(\"Credibility Level\")\n",
"ax.set_title(\"0.5*Cov\")\n",
"\n",
"plt.subplots_adjust(wspace=0.4)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.5*Cov 0.1875\n"
]
}
],
"source": [
"print(\"0.5*Cov\", np.abs(ecp - alpha).max())"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%% md\n"
}
},
"source": [
"### Test bootstrapping:\n",
"\n",
"The new `bootstrapping` function is now implemented for `get_tarp_coverage`. This provides a method to offset the unpredictability of each tarp test. The function `get_tarp_coverage` now has a new argument `bootstrap` which is set to `False` by default. If set to `True`, the function will return the bootstrapped coverage for each credibility level. The function will return a 2D array of shape `(num_bootstraps, num_alpha)` where `num_alpha` is the number of credibility levels. The mean and standard deviation of the bootstrapped coverage can be computed using `ecp_bootstrap.mean(axis=0)` and `ecp_bootstrap.std(axis=0)` respectively."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:09<00:00, 10.32it/s]\n",
"100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:09<00:00, 10.51it/s]\n",
"100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:09<00:00, 10.19it/s]\n"
]
}
],
"source": [
"# This might take some time...\n",
"samples, theta = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=1.)\n",
"ecp_bootstrap, alpha_bootstrap = get_tarp_coverage(samples, theta, references = \"random\", metric = \"euclidean\", norm = True, bootstrap=True)\n",
"\n",
"samples05, theta05 = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=.5)\n",
"ecp_bootstrap05, alpha_bootstrap05 = get_tarp_coverage(samples05, theta05, references = \"random\", metric = \"euclidean\", norm = True, bootstrap=True)\n",
"\n",
"samples20, theta20 = generate_correlated_samples(num_samples=1000, num_sims=800, num_dims=10, covfactor=2.)\n",
"ecp_bootstrap20, alpha_bootstrap20 = get_tarp_coverage(samples20, theta20, references = \"random\", metric = \"euclidean\", norm = True, bootstrap=True)\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false,
"jupyter": {
"outputs_hidden": false
},
"pycharm": {
"name": "#%%\n"
}
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '2*Cov')"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1200x400 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"k_sigma = [1, 2, 3]\n",
"\n",
"fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n",
"\n",
"ax[0].plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax[0].plot(alpha, ecp_bootstrap.mean(axis=0), label='TARP')\n",
"for k in k_sigma:\n",
" ax[0].fill_between(alpha, ecp_bootstrap.mean(axis=0) - k * ecp_bootstrap.std(axis=0), ecp_bootstrap.mean(axis=0) + k * ecp_bootstrap.std(axis=0), alpha = 0.2)\n",
"ax[0].legend()\n",
"ax[0].set_ylabel(\"Expected Coverage\")\n",
"ax[0].set_xlabel(\"Credibility Level\")\n",
"ax[0].set_title(\"correct case\")\n",
"\n",
"\n",
"ax[1].plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax[1].plot(alpha, ecp_bootstrap05.mean(axis=0), label='TARP')\n",
"for k in k_sigma:\n",
" lo = ecp_bootstrap05.mean(axis=0) - k * ecp_bootstrap05.std(axis=0)\n",
" hi = ecp_bootstrap05.mean(axis=0) + k * ecp_bootstrap05.std(axis=0)\n",
" ax[1].fill_between(alpha, lo, hi, alpha = 0.2)\n",
"ax[1].legend()\n",
"ax[1].set_ylabel(\"Expected Coverage\")\n",
"ax[1].set_xlabel(\"Credibility Level\")\n",
"ax[1].set_title(\"0.5*Cov\")\n",
"\n",
"ax[2].plot([0, 1], [0, 1], ls='--', color='k', label = \"Ideal case\")\n",
"ax[2].plot(alpha, ecp_bootstrap20.mean(axis=0), label='TARP')\n",
"for k in k_sigma:\n",
" lo = ecp_bootstrap20.mean(axis=0) - k * ecp_bootstrap20.std(axis=0)\n",
" hi = ecp_bootstrap20.mean(axis=0) + k * ecp_bootstrap20.std(axis=0)\n",
" ax[2].fill_between(alpha, lo, hi, alpha = 0.2)\n",
"ax[2].legend()\n",
"ax[2].set_ylabel(\"Expected Coverage\")\n",
"ax[2].set_xlabel(\"Credibility Level\")\n",
"ax[2].set_title(\"2*Cov\")\n",
"\n",
"#plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "py312-tarp",
"language": "python",
"name": "py312-tarp"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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