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March 6, 2020 02:27
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# ABC Exploration" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:04.855514Z", | |
"start_time": "2020-02-29T03:04:04.842548Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"import seaborn as sns\n", | |
"import numpy as np\n", | |
"import elfi\n", | |
"import scipy.stats\n", | |
"import matplotlib.pyplot as plt\n", | |
"\n", | |
"from functools import partial\n", | |
"from elfi.examples import gauss\n", | |
"\n", | |
"# prior hyperparameters\n", | |
"alpha0 = 1\n", | |
"beta0 = 3\n", | |
"mu0 = 0\n", | |
"lamb0 = .9\n", | |
"\n", | |
"# Change the signature of gauss.gauss to generate 100 observation by default.\n", | |
"fn_simulator = partial(gauss.gauss, n_obs=100)\n", | |
"\n", | |
"# x ~ N(-1.55, 3.2^2)\n", | |
"# y_obs = fn_simulator(-1.55, 3.2, random_state=np.random.RandomState(111))\n", | |
"\n", | |
"# Observed data\n", | |
"y_obs = np.array([[-4.951515 , -0.39704242, 2.93966133, -2.61614689, -3.91260062,\n", | |
" -2.92831672, -1.72750631, -2.6125205 , -3.75656916, -5.10181966,\n", | |
" -0.8333176 , -3.31976079, -5.87175536, 0.77110933, -4.63390199,\n", | |
" -1.82295875, -0.07399099, -0.2759834 , 2.29914645, -0.60204064,\n", | |
" -2.77424661, -1.75384278, -4.40727997, -1.88203221, 0.16178288,\n", | |
" 1.19626051, -6.55802152, -0.10185907, -2.48141801, 5.63406919,\n", | |
" 3.10279276, -3.48939553, -4.33681171, -6.51492843, -0.49942249,\n", | |
" -1.97526955, 0.01324536, -1.61270259, -6.78153185, -3.94747663,\n", | |
" -5.46071129, -1.015685 , -2.55320709, -2.46808139, -2.54721672,\n", | |
" 4.33884202, 0.60772748, 1.87865953, 4.69863091, -5.40394326,\n", | |
" 0.06438283, -1.68361822, 6.24149311, -1.72479885, -4.38586099,\n", | |
" 0.07351717, -1.71502666, 1.81006243, -2.12492885, -3.38041527,\n", | |
" -2.88373656, -8.16202789, -2.84201145, -2.82528038, -1.10812402,\n", | |
" -0.27522718, -0.50822677, -2.37870664, -5.15688687, 1.54306991,\n", | |
" 0.61995686, 2.74833618, 0.2785206 , -3.30246663, -2.02362492,\n", | |
" -2.63885949, -0.74579404, 0.31596226, -0.8354919 , -3.79755068,\n", | |
" -2.38694435, 0.55486644, 0.24803359, -0.90377691, 2.34959998,\n", | |
" -3.36090201, -0.79326858, 0.94455038, -2.65756609, -4.63980848,\n", | |
" -3.49274672, 4.89780132, -7.96107034, -0.1507432 , -2.47656375,\n", | |
" 4.75936734, -4.70119197, -1.9313409 , -6.30239165, -3.38322332]])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Exact Posterior" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:05.293581Z", | |
"start_time": "2020-02-29T03:04:05.285601Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"xbar = np.mean(y_obs) # Sample mean\n", | |
"ss = ((y_obs - xbar)**2).sum() # sum of squares\n", | |
"n = len(y_obs[0]) # Sample size\n", | |
"\n", | |
"# Posterior parameters\n", | |
"alpha = alpha0 + n/2\n", | |
"beta = beta0 + ss/2 + (n*lamb0/(lamb0+n)) * ((xbar - mu0)**2/2)\n", | |
"mu = (lamb0*mu0 + n*xbar)/(lamb0 + n) \n", | |
"lamb = lamb0 + n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:05.514526Z", | |
"start_time": "2020-02-29T03:04:05.510036Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"alpha\t= 51.00\n", | |
"beta\t= 428.96\n", | |
"mu\t= -1.57\n", | |
"lambda\t= 100.90\n" | |
] | |
} | |
], | |
"source": [ | |
"print(\"alpha\\t= {:6.2f}\\nbeta\\t= {:6.2f}\\nmu\\t= {:6.2f}\\nlambda\\t= {:6.2f}\".format(alpha,beta,mu,lamb))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:06.641188Z", | |
"start_time": "2020-02-29T03:04:05.762836Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"def NIG_rvs(mu, lamb, alpha, beta, size=1000):\n", | |
" sigma = np.sqrt(scipy.stats.invgamma.rvs(a=alpha, scale=beta, size=size))\n", | |
" mu = [scipy.stats.norm.rvs(loc=mu, scale= sig / np.sqrt(lamb)) for sig in sigma]\n", | |
" return(list(zip(mu,sigma)))\n", | |
"\n", | |
"prior_samples = np.array(NIG_rvs(mu0, lamb0, alpha0, beta0, size = 10000))\n", | |
"posterior_samples = np.array(NIG_rvs(mu, lamb, alpha, beta, size = 10000))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:07.195201Z", | |
"start_time": "2020-02-29T03:04:06.702000Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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\n", | |
"text/plain": [ | |
"<Figure size 864x288 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12, 4))\n", | |
"sns.distplot(posterior_samples[:,0], ax=ax1, label=\"posterior\")\n", | |
"sns.distplot(posterior_samples[:,1], ax=ax2, label=\"posterior\")\n", | |
"ax1.set_title(r\"$\\mu$\"); ax2.set_title(r\"$\\sigma$\")\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# ABC " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 37, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:13:56.103162Z", | |
"start_time": "2020-02-29T03:13:56.090196Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"# These are written as custom classes to allow for inheritance and so var --> sd\n", | |
"class CustomPrior_x(elfi.Distribution):\n", | |
" def rvs(sigma, mu0, lamb0, size=1, random_state=None):\n", | |
" \n", | |
" # ss.norm is std parametrized, whereas the inverse gamma distributes the variance.\n", | |
" # hence, we take the square root of the usual sigma^2/lamb0 that parametrizes the \n", | |
" # normal prior for the mean. \n", | |
" x = scipy.stats.norm.rvs(loc=mu0, scale=sigma / np.sqrt(lamb0), \n", | |
" size=size, random_state=random_state)\n", | |
" return x\n", | |
" \n", | |
" def pdf(x, sigma, mu0, lamb0, random_state=None):\n", | |
" \n", | |
" x = scipy.stats.norm.pdf(x, loc=mu0, scale=sigma / np.sqrt(lamb0))\n", | |
" return x\n", | |
" \n", | |
"class CustomPrior_sigma(elfi.Distribution):\n", | |
" def rvs(alpha0, beta0, size=1, random_state=None):\n", | |
" # sigma^2 ~ G-1(alpha,beta)\n", | |
" var = scipy.stats.invgamma.rvs(a=alpha0, scale=beta0, size=size, random_state=random_state)\n", | |
" return np.sqrt(var)\n", | |
" \n", | |
" def pdf(x, alpha0, beta0, random_state=None):\n", | |
" x = scipy.stats.invgamma.pdf(x, a=alpha0, scale=beta0)\n", | |
" return x" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 38, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:13:56.416777Z", | |
"start_time": "2020-02-29T03:13:56.403801Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"def create_model(distance):\n", | |
"\n", | |
" m = elfi.new_model()\n", | |
"\n", | |
" # Specify the priors\n", | |
" priors = []\n", | |
" priors.append(elfi.Prior(CustomPrior_sigma, alpha0, beta0, model=m, name='sigma'))\n", | |
" priors.append(elfi.Prior(CustomPrior_x, m['sigma'], mu0, lamb0 , model=m, name='x'))\n", | |
"\n", | |
" # Simulate new data \n", | |
" elfi.Simulator(fn_simulator, priors[1], priors[0], observed=y_obs, name='gauss')\n", | |
"\n", | |
" # Compute summary statistics.\n", | |
" # .ss_mean returns the sample mean whereas .ss_var the sample variance.\n", | |
" sumstats = []\n", | |
" sumstats.append(elfi.Summary(gauss.ss_mean, m['gauss'], name='ss_mean'))\n", | |
" sumstats.append(elfi.Summary(gauss.ss_var, m['gauss'], name='ss_var'))\n", | |
"\n", | |
" # Compute the Euclidean distance between summary statistics\n", | |
" # for the generated and observed samples over the ss_mean vs. ss_var 2D space.\n", | |
" if distance == 'both':\n", | |
" d = elfi.Distance('euclidean', *sumstats, name='both')\n", | |
"\n", | |
" elif distance == 'mean':\n", | |
" d = elfi.Distance('euclidean', sumstats[0], name='mean')\n", | |
" \n", | |
" else:\n", | |
" d = elfi.Distance('euclidean', sumstats[1], name='var')\n", | |
" \n", | |
" return d\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Rejection ABC" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:04:57.424100Z", | |
"start_time": "2020-02-29T03:04:17.659081Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n" | |
] | |
} | |
], | |
"source": [ | |
"rejection_results = dict()\n", | |
"distances = ['mean', 'var', 'both']\n", | |
"\n", | |
"# For the three distances\n", | |
"for distance in distances:\n", | |
" rejection_results[distance] = dict()\n", | |
" d = create_model(distance)\n", | |
" \n", | |
" # For the following thresholds\n", | |
" for e in [0.5, 1, 3]:\n", | |
" rejection_results[distance][e] = elfi.Rejection(d, batch_size=10000).sample(10000, threshold=e)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 84, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:34:41.747365Z", | |
"start_time": "2020-02-29T03:34:40.281055Z" | |
}, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x864 with 6 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, axes = plt.subplots(3,2, figsize=(12, 12))\n", | |
"\n", | |
"for ax_row, distance in zip(axes, rejection_results.keys()):\n", | |
" \n", | |
" # For the parameters\n", | |
" for ax, param in zip(ax_row, [\"x\", \"sigma\"]):\n", | |
" aux = 0 if param == \"x\" else 1\n", | |
" sns.distplot(posterior_samples[:,aux], hist = False, ax=ax, label=\"reference\")\n", | |
" \n", | |
" # For the thresholds\n", | |
" for e in [0.5, 1, 3]:\n", | |
" samples = rejection_results[distance][e].samples[param]\n", | |
" sns.distplot(samples, ax=ax, hist=False, label= r\"$\\epsilon = $\" + str(e))\n", | |
" \n", | |
"axes[0][0].set_title(r\"$\\mu$\"); axes[0][1].set_title(r\"$\\sigma$\")\n", | |
"axes[0][0].set_ylabel(r\"Mean distance$\")\n", | |
"axes[1][0].set_ylabel(r\"Variance distance$\")\n", | |
"axes[2][0].set_ylabel(r\"Combined distance$\")\n", | |
"plt.savefig(\"fig1.png\")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## SMC ABC" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 47, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:24:18.920060Z", | |
"start_time": "2020-02-29T03:20:52.572990Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n", | |
"Progress: |██████████████████████████████████████████████████| 100.0% Complete\n" | |
] | |
} | |
], | |
"source": [ | |
"smc_results = dict()\n", | |
"schedule = [1, 0.5, 0.3, 0.1, 0.05]\n", | |
"N = 10000\n", | |
"\n", | |
"# For the three distances\n", | |
"for distance in distances:\n", | |
" \n", | |
" d = create_model(distance)\n", | |
" smc = elfi.SMC(d, batch_size=10000)\n", | |
" smc_results[distance] = smc.sample(N, schedule)\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 83, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2020-02-29T03:34:34.139535Z", | |
"start_time": "2020-02-29T03:34:33.640658Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 864x288 with 2 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", | |
"\n", | |
"for ax, param in zip(axes, [\"x\", \"sigma\"]):\n", | |
" aux = 0 if param == \"x\" else 1\n", | |
" sns.distplot(posterior_samples[:,aux], hist = False, ax=ax, label=\"reference\")\n", | |
" for distance in distances:\n", | |
" s = smc_results[distance].samples[param]\n", | |
" sns.distplot(s, ax=ax, hist=False, label= f\"{distance}\")\n", | |
" \n", | |
"axes[0].set_title(r\"$\\mu$ ; $\\epsilon$ = 0.05\"); axes[1].set_title(r\"$\\sigma$ ; $\\epsilon$ = 0.05\")\n", | |
"axes[0].set_xlim([-5,2])\n", | |
"axes[1].set_xlim([1,5])\n", | |
"plt.savefig(\"fig2.png\")" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python [conda env:capstone]", | |
"language": "python", | |
"name": "conda-env-capstone-py" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.7.6" | |
}, | |
"toc": { | |
"base_numbering": 1, | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"title_cell": "Table of Contents", | |
"title_sidebar": "Contents", | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": true, | |
"toc_window_display": false | |
}, | |
"varInspector": { | |
"cols": { | |
"lenName": 16, | |
"lenType": 16, | |
"lenVar": 40 | |
}, | |
"kernels_config": { | |
"python": { | |
"delete_cmd_postfix": "", | |
"delete_cmd_prefix": "del ", | |
"library": "var_list.py", | |
"varRefreshCmd": "print(var_dic_list())" | |
}, | |
"r": { | |
"delete_cmd_postfix": ") ", | |
"delete_cmd_prefix": "rm(", | |
"library": "var_list.r", | |
"varRefreshCmd": "cat(var_dic_list()) " | |
} | |
}, | |
"types_to_exclude": [ | |
"module", | |
"function", | |
"builtin_function_or_method", | |
"instance", | |
"_Feature" | |
], | |
"window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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