diff --git a/HARK/simulation/monte_carlo.py b/HARK/simulation/monte_carlo.py index acfa93578..93b4605cd 100644 --- a/HARK/simulation/monte_carlo.py +++ b/HARK/simulation/monte_carlo.py @@ -384,21 +384,7 @@ def get_mortality(self): """ who_dies = self.vars_now['live'] <= 0 - if self.read_shocks: - # Instead of simulating births, assign the saved newborn initial conditions - if np.sum(who_dies) > 0: - for var_name in self.initial: - self.vars_now[var_name][ - who_dies - ] = self.newborn_init_history[var_name][ - self.t_sim, who_dies - ] - - # Reset ages of newborns - self.t_age[who_dies] = 0 - self.t_cycle[who_dies] = 0 - else: - self.sim_birth(who_dies) + self.sim_birth(who_dies) self.who_dies = who_dies return None @@ -418,20 +404,26 @@ def sim_birth(self, which_agents): None """ if self.read_shocks: + t = self.t_sim - 1 if self.t_sim > 0 else 0 initial_vals = { - init_var: self.newborn_init_history[init_var][self.t_sim, :] + init_var: self.newborn_init_history[init_var][t, which_agents] for init_var in self.initial - } + } + else: initial_vals = draw_shocks( self.initial, np.zeros(which_agents.sum()) ) - for varn in initial_vals: - self.vars_now[varn][which_agents] = initial_vals[varn] - self.newborn_init_history[varn][self.t_sim, which_agents] = initial_vals[varn] + if np.sum(which_agents) > 0: + for varn in initial_vals: + self.vars_now[varn][which_agents] = initial_vals[varn] + self.newborn_init_history[varn][self.t_sim, which_agents] = initial_vals[varn] + + self.t_age[which_agents] = 0 + self.t_cycle[which_agents] = 0 def simulate(self, sim_periods=None): """ diff --git a/examples/MonteCarlo/Generic Monte Carlo Perfect Foresight.ipynb b/examples/MonteCarlo/Generic Monte Carlo Perfect Foresight.ipynb index 5583edc51..3894c3da5 100644 --- a/examples/MonteCarlo/Generic Monte Carlo Perfect Foresight.ipynb +++ b/examples/MonteCarlo/Generic Monte Carlo Perfect Foresight.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 50, + "execution_count": 1, "id": "be704ca8", "metadata": {}, "outputs": [], @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 2, "id": "83e6f76e", "metadata": {}, "outputs": [], @@ -41,7 +41,7 @@ " \"pLvlInitStd\": 0.0, # Standard deviation of log initial permanent income\n", " \"PermGroFacAgg\": 1.0, # Aggregate permanent income growth factor\n", " \"T_age\": None, # Age after which simulated agents are automatically killed,\n", - " \"LivPrb\": [1.0] # [0.98]\n", + " \"LivPrb\": [0.98]\n", "}\n", "\n", "PFexample.assign_parameters(**SimulationParams)" @@ -49,31 +49,30 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 3, "id": "e0f219ec", "metadata": {}, "outputs": [], "source": [ - "\n", "PFexample.solve()" ] }, { "cell_type": "code", - "execution_count": 15, - "id": "312a516e", + "execution_count": 4, + "id": "c3981c6d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" ] }, - "execution_count": 15, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -100,26 +99,33 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 5, "id": "66cc08fb", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'mNrm': array([[ 1.00252784, 1.00252784, 1.00252784, ..., 1.00252784,\n", + "{'who_dies': array([[0., 0., 0., ..., 0., 0., 0.],\n", + " [0., 0., 0., ..., 0., 0., 0.],\n", + " [0., 0., 0., ..., 0., 0., 0.],\n", + " ...,\n", + " [0., 0., 0., ..., 1., 0., 0.],\n", + " [0., 0., 1., ..., 0., 0., 0.],\n", + " [0., 0., 0., ..., 0., 0., 0.]]),\n", + " 'mNrm': array([[ 1.00252784, 1.00252784, 1.00252784, ..., 1.00252784,\n", " 1.00252784, 1.00252784],\n", - " [ 0.20624094, 0.20624094, 0.20624094, ..., 0.20624094,\n", - " 0.20624094, 0.20624094],\n", - " [ -0.57773444, -0.57773444, -0.57773444, ..., -0.57773444,\n", - " -0.57773444, -0.57773444],\n", + " [ -0.30338194, -0.30338194, -0.30338194, ..., -0.30338194,\n", + " -0.30338194, -0.30338194],\n", + " [ -1.57617872, -1.57617872, -1.57617872, ..., -1.57617872,\n", + " -1.57617872, -1.57617872],\n", " ...,\n", - " [-42.18087615, -42.18087615, -42.18087615, ..., -42.18087615,\n", - " -42.18087615, -42.18087615],\n", - " [-42.30949766, -42.30949766, -42.30949766, ..., -42.30949766,\n", - " -42.30949766, -42.30949766],\n", - " [-42.43613053, -42.43613053, -42.43613053, ..., -42.43613053,\n", - " -42.43613053, -42.43613053]]),\n", + " [-21.97112221, -9.62650475, -36.60139796, ..., 1.00252784,\n", + " -2.81670212, -46.01051785],\n", + " [-22.6945059 , -10.6629019 , 1.00252784, ..., -0.30338194,\n", + " -4.02577047, -46.12435211],\n", + " [-23.39954727, -11.67301988, -0.30338194, ..., -1.57617872,\n", + " -5.20418135, -46.23529996]]),\n", " 'pLvl': array([[1.01 , 1.01 , 1.01 , ..., 1.01 , 1.01 ,\n", " 1.01 ],\n", " [1.0201 , 1.0201 , 1.0201 , ..., 1.0201 , 1.0201 ,\n", @@ -127,34 +133,36 @@ " [1.030301 , 1.030301 , 1.030301 , ..., 1.030301 , 1.030301 ,\n", " 1.030301 ],\n", " ...,\n", - " [3.23535623, 3.23535623, 3.23535623, ..., 3.23535623, 3.23535623,\n", - " 3.23535623],\n", - " [3.2677098 , 3.2677098 , 3.2677098 , ..., 3.2677098 , 3.2677098 ,\n", - " 3.2677098 ],\n", - " [3.30038689, 3.30038689, 3.30038689, ..., 3.30038689, 3.30038689,\n", - " 3.30038689]])}" + " [1.26973465, 1.10462213, 1.67768892, ..., 1.01 , 1.04060401,\n", + " 2.59927293],\n", + " [1.282432 , 1.11566835, 1.01 , ..., 1.0201 , 1.05101005,\n", + " 2.62526565],\n", + " [1.29525631, 1.12682503, 1.0201 , ..., 1.030301 , 1.06152015,\n", + " 2.65151831]])}" ] }, - "execution_count": 62, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "PFexample.track_vars = [\"mNrm\",\"pLvl\"]\n", + "PFexample.track_vars = [\"who_dies\",\"mNrm\",\"pLvl\"]\n", + "PFexample.make_shock_history()\n", + "\n", "PFexample.initialize_sim()\n", "PFexample.simulate()" ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 6, "id": "3b126cc4", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -174,13 +182,13 @@ }, { "cell_type": "code", - "execution_count": 64, - "id": "e0e3ac8d", + "execution_count": 7, + "id": "633034d3", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -200,21 +208,21 @@ }, { "cell_type": "code", - "execution_count": 65, - "id": "d4a181a8", + "execution_count": 8, + "id": "bb741c54", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_11254/947589964.py:1: RuntimeWarning: divide by zero encountered in log\n", + "/tmp/ipykernel_82097/947589964.py:1: RuntimeWarning: divide by zero encountered in log\n", " plt.plot(np.log(np.mean(PFexample.history[\"mNrm\"], axis=1) - np.min(np.mean(PFexample.history[\"mNrm\"], axis=1))))\n" ] }, { "data": { - "image/png": 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\n", 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X7AQgIp2ALsDLwJV4FoGBZ0vIp1W1r48Cy8VaAKaVHK6s5uV5+Tw5awN7D1Zw9oBO/OqMvraq2IS0lswCOgO4DugKPFzn+AHgtz6NzphWEhcdyY3junP58ByenbORZ7/YyGcrdnPViBxuP7U36YkxgQ7RmFbjpgvoIlV9228BWAvABFBByWEmT1/Ha/O3kBgbxa3je3Ld6DxiogI9P8IY3/GmHPSXIvKcsy8AItJPRG7wUVCvAV8DfURkm6/Oa4xbHZLiuP/CAXx6xwkM7ZbGnz9azTmPfcG8jXsCHZoxfmcbwhhTx/SVu7n3PyvYVnyIcwdmcdfpfWx8wAQ92xDGGBdO7deRab88kdvG92TGqgJOfXg297y7jAOHrQCuCT22IYwxR4mPieTO0/sw+9cncfWIHF5fsJVzH5vLkq37Ah2aMT7lJgHcCbwP9BCRL4F/Arf6NSpj2oAOSXHcd0F/3vz5SKprlIue+op/fr050GEZ4zNuEkAxng1hRgM/B44FYv0ZlDFtydBu6Xx02zhO6tOB37+3gsdnrLP9iU1IcJMA3gI6quoKVV0OjAKe929YxrQtKQnRPH31cfz0uC78bdpaHvhkjSUBE/TcFEy/Cfi3iJwHHAf8H3C2X6Mypg2KiozgoYsHER8dydOzN7CpqJS/XjTIdiIzQavJFoCqLgBuAz4D7gVOVdWtfo7LmDYpIkL400/687tzjmHGqgLOefwLFuXvDXRYxrRIY7WA/oMz88fRD9iJZ0wAVT3f79EdxdYBmLbkuy3F3PLqd2zf51kz8P9O72PbUZo2qSXF4E5s7ISqOttHsblmCcC0NSWHK52aQpuorK7h3IFZTByTxyCrMmrakBaVgxaRSGB6W9kW0hKAaasKDhzmqdkb+NfCbZSWV3FcTirXjcnjrP6diI60ukImsLzZD2AG8FNVDfjiL0sApq0rOVzJW4u2MfWrzWzeU0aHpFiOz0una1o8fTomcd6gzpYQTKvzJgG8BwwBpgEHa4+r6m2+DrIplgBMsKipUWavK+S1b7awrqCU7cWHqKiuoXtmIvecfQzj+3ZARJo+kTE+0JL9AGq94zyMMS5FRAgn9+nAyX06AJ6EMHNNAfd/uIobpi4kOlIQhITYSM4ZkMUVw3Po3yUlwFGbcNNkC6AtsRaACXaV1TW8vWgb+XvLUIVd+w/x8fJdlFfVcHKfTB69bIitKzA+500XUC88i7/6AXG1x1W1u6+DbIolABOK9pdV8tqCLfztszV0SY3n2QnD6NUxKdBhmRDiTTnoF4CngCrgZDzF4F72bXjGhK+UhGhuOrEHr/1sJKXl1fzkiS9tQxrTKtwkgHhVnYGntZCvqvcC5/g3LGPCz7DcdP5z6xiyUuO54cUFLMovDnRIJsS5SQDlIhIBrBORW0TkQqCdn+MyJixlpcTz6o0jyEyK5brn57N0275Ah2RCmJsEcDuQgKce0FDgGuBaX3y4iJwpImtEZL2I3O2LcxoT7Dokx/Hqz0aSkhDNZc/M47X5W6zyqPGLgM0CclYZrwVOA7YBC4ArVHVlQ++xQWATTnYfOMydby7my/V7GN+3Ax2SYlmybT9JcVE8c/VQ0hJjAh2iCRItHgQWkWEi8q6IfCsiS2sfPohpOLBeVTeqagXwOnCBD85rTEjomBzHS9eP4HfnHMPc9UV8vHwXGe1iWLx1Hz9/eREVVTWBDtEEOTcLwV4BfgUsw9kY3ke6AHXLSm8DRvjw/MYEvYgI4cZx3blmVDdiIiMQEd5bvJ3bX1/Mb95ZxkOXDLQVxabF3CSAQlV93++RNEBEJgGTAHJycgIVhjEBFRsV+f3PFwzuwsbCg0yesY6YqAh+f24/4mMiG3m3MfVzkwD+ICL/AGYA5bUHVdXb8hDbgew6z7s6x46gqlOAKeAZA/DyM40JCXec2ovDldU8M2cj32zaw6OXDWZg19RAh2WCjJtZQBOBwcCZwHnO41wffPYCoJeI5IlIDHA5ELCWhjHBRET4zdnH8MqNIzhUUc3FT31tO5OZZnNTCmKNqvbxy4eLnA08CkQCz6vq/Y293mYBGfNjxQcr+MmTX1JWUc1/bhlLp5S4pt9kwoo3pSC+EpF+fogJVf1IVXurao+mvvyNMfVLS4zh2QnDKCuv4ucvL+JwZXWgQzJBwk0CGAksdhZsLRWRZT6aBmqM8ZHeHZP426WDWbJ1H3e/vZSaGhsuM01zMwh8pt+jMMZ47cz+nfjVGX148NM1dEiO47dnHxPokEwb12QCUNX81gjEGOO9/zqpB7sPHGbKnI1ktovlxnF5tk7ANMhNC8AYEyREhD+cdyxFpeXc/9EqXpqXz/i+HTh3YBZDu6VZMjBHsB3BjAlB5VXVvLVoGzNWFfDl+iLKq2oYnJ3KjePyGNm9Pe0TY75PBjU1yoLNe/n34h0s3rqP6hrPgv9bx/fivEGdA3kZxkdavCNYW2IJwJjmK6uo4u1F2/jH3E3k7ykDIC0hmsykWCqqath/qJLiskrioyMZ0T2d+OhI1heUsn3fIT694wSy0xMCfAXGW81OACJSAjSYHVQ12XfhuWMJwJiWq65Rvtm4h9W7SlhXUMLegxXERUcSFxXJqB7tOa1fRxJjPb3CO/Yd4vRH5tC/SzKv3jiSiAjrOgpmDSWABscAVDXJeeP/AjuBlwABrgKy/BSnMcZPIiOE0T0zGN0zo8nXdk6N53fnHMPd7yzjpXn5XDs61/8BmlbnZh3A+ar6pKqWqOoBVX0KK9tsTMi77PhsTuidyf0fruLW175j5uoCqqqtBHUocZMADorIVSISKSIRInIVcNDfgRljAktEeOTSQVx6fFe+WFfIxBcXcNJDs3ht/hbbiyBEuKkFlAtMBsbgGRP4ErhDVTf7O7ij2RiAMYFRUVXD56t389TsjSzZuo/OKXFMOqE7lx2fY6Wog4DNAjLGeE1VmbOuiMdnrGNhfjHtE2P4zdnHcPHQroEOzTTCmy0he4vIDBFZ7jwfKCK/80eQxpi2TUQ4sXcmb908mjd/PorcjET+++2lfLulONChmRZwMwbwLPAboBJAVZfiqd1vjAljw/PSeWHi8XRKjuOO1xdTWl4FwIHDlRSVljfx7iN9u6WYDYWl/gjTNMJNKYgEVZ1/1BLyKj/FY4wJIslx0Uy+fDCXPvM1d7+9lKyUOF79ZgtJcdHM+fXJxEQ1/W/MksOVTHhuPnHRkXxyxzgy2sW2QuQG3LUAikSkB86iMBG5GM+6AGOMYVhuOreM78UHS3fy/JebGdA1hV0HDvPZyl2u3v/Ggq2Ullex/1AFv/rXEoJpXDLYuWkB/ALPnrx9RWQ7sAm42q9RGWOCym3je5KTnsCIvHQ6p8Zz4oMzeXlePucObLyWUHWN8uJXmzk+N41zBmRx739W8tK8fCaMym2dwMNcky0AVd2oqqcCmUBfVR0biCmgxpi2KyoygouHdiU7PYHICOGK4TnM27iX9QVH9uurKu9+t43l2/cDMG3lLrYVH+L6MXlcOzqXk/t4Fp59taEoEJcRdtzMAqoWkb8AZapa4hz71u+RGWOC1mXHZxMdKbzyzQ/biagqf/l4Nb98Ywk/eeJLpszZwHNzN9E1LZ7Tj+2EiPDgJYPISU/g2ufn897i7QG8gvDgZgxghfO6z0Qk3TnmVWUoEblERFaISI2I/GhuqjEmuGW0i+XM/lm8vWgbhyqqUVX++MFKnpmzkStH5HDqMR3580erWbC5mOtG5xLpFJvLaBfLWzeNZmi3NG5/fTHPzd0U4CsJbW7GAKpU9dcichnwhYhMoJEqoS4tB34KPOPleYwxbdRVI3L4z5Id9L/3U6qdPYqvH5PH/5zr2ary1flbmLZyN5cen33E+1ISopl6/XBuf20x93+4koFdUzg+N/1H5zfec1MK4jtVHeL83B94FchR1VSvP1xkFvD/VNXV8l5bCWxM8FBVXvhyM0Wl5URFRpDbPoELh3RxvStZaXkVZ0/+ghpVPrp9HMlx0X6OOHQ1uxx0HTfW/qCqy0VkHK1YDVREJgGTAHJyclrrY40xXhIRrh+b1+L3t4uN4pHLPGsM7n1vBQ9fNth3wRmgkQQgIuNV9XOgm4h0O+rXTS7ZE5HpQKd6fnWPqr7nNkBVnYJnGirDhg2zCcLGhJGh3dK45eSeTJ6xjn6dk7lxXPdAhxRSGmsBnAh8DpxXz+8UeKexEztTR40xxiu3ju/J2t0l/OnDVRyurOYXJ/e0ze19pLEdwf7g/Dmx9cIxxpgjRUVG8PgVQ/j1W0t56LO1VFQrd57WO9BhhYTGuoDubOyNqvpwSz9URC4EHsezuOxDEVmsqme09HzGmNAWFRnBQ5cMorJGeXLmem4Yk0dKgg0Ke6uxdQBJTTxaTFXfVdWuqhqrqh3ty98Y05SICOGGsXlU1SjTVu0OdDghobEuoPtaMxBjjGnKoK4pdE6J45PlO20TGh9ochqoiMQBNwDHAnG1x1X1ej/GZYwxPyIinDUgi5e+zqfkcCVJtjbAK25KQbyEZzrnGcBsoCtQ4s+gjDGmIWcP6ERFdQ2fry4IdChBz00C6Kmq/wMcVNWpwDnACP+GZYwx9RuSnUbH5Fg+WmbbknjLTQKodP7c55SCSAE6+C8kY4xpWESEcOaxnZi1ppCD5bY5oTfcJIApIpIG/A/wPrAS+KtfozLGmEacNSCL8qoaZq6xbiBvNDkIrKr/cH6cDdg6bGNMwB2fm06HpFj+/d32JncdMw1zMwsoFZgA5NZ9vare5reojDGmEZERwoVDuvDc3E0UlZbbRvIt5KYL6CM8X/7LgEV1HsYYEzAXDe1KVY3y3uIdgQ4laLkpBx2nqo2WhTDGmNbWu2MSA7qk8PaibdzgRdnpcOZqHYCI/ExEskQkvfbh98iMMaYJFx3XhZU7D7Bq54FAh9Jsq3cd4OV5+TS1KZc/uUkAFcCDwNf80P1j23IZYwLu/MFdiI4U3l60LdCh1Kumpv4v91lrCrjoya/43b+Xs76gye1V/MZNArgLz2KwXFXNcx42G8gYE3DpiTGc3KcD/168ncOV1YEO5wjFBysY8r/TmPrV5iOOvz5/CzdMXUinFE9lnTnrigIQnYebBLAeKPN3IMYY0xLXjcmlqLSCl+flBzqUI6zeVcL+Q5X88YOVzHW+5J+ZvYG731nG2J4ZvHfLWLpnJvLFusKAxehmEPggsFhEZgLltQdtGqgxpi0Y3SODcb0yeGLmei47PrvNFIjbVHQQgE7Jcfzi1W+5cEgXXvxqM+cOzOKRywYTHRnBCb0yeX3BFsqrqomNimz1GN20AP4N3A98hU0DNca0Qb86ow/FZZU8O2djoEP53uY9B4mNiuCVG0cgAi9+tZlLhnZl8uVDiI70fPWO65XB4coaFm0uPuK9qsof3lvOb99dRkVVjd9ibLQFICKRwHWqerLfIjDGGC8N7JrKOQOy+MfcTVwzKpfMJO8Whu0vq6RdXBSRES3fe3hj4UFy2yeSm5HI1InD+W5LMRNG5RJR55wju7cnOlKYs66I0T0zvj/+wdKdTP3a06W1dW8ZT189lMRYNx02zdNoC0BVq4EaEUnx+ScbY4wP3XV6b8qranjp681enedQRTVj//o5r83f4tV5NhWVkpuRAMCg7FSuG5N3xJc/QGJsFMflpB0xDlBUWs7v31vOoK4p/OWnA/hqwx6ufHYee0rL8TU3XUClwDIReU5EHqt9+DwSY4zxQvfMduRlJLJmt3fblazdXULJ4SqvpmdW1yhb9paRl9Guydee0DuTFTsOUOR8wf/+veUcLK/mwUsGcfnwHJ65eijrC0pZscP3ax3ctCnecR4+IyIPAufhWWOwAZioqvt8+RnGmPCTnRbP1r2HvDrH6l2eL9rdBw63+Bzbiw9RWa3kOS2AxozrlcGDn67hj/9ZyY59h1iYX8yvzuhD746erddP7deRuf89nrTEmBbH05AmWwDOJjCv8cPg76vOMW9MA/qr6kBgLfAbL89njDHkpCewtdi7WeurdnpaEAUlLe9y2bTHMwPITQvg2M4pZCbF8v6SHZRVVPPrM/vw8xOOXGrljy9/cFcN9CRgKrAZECBbRK5V1Tkt/VBV/azO03nAxS09lzHG1MpOT6DkcBX7yypJSWjZdFBftAA2FXq6j/IyEpt8bWSE8M7NowFP/K3JTRfQ34DTVXUNgIj0xtMiGOqjGK4H3mjolyIyCZgEkJOT46OPNMaEoq5pni/QLXvLGJDQ/LkrqsrqXU4L4EA5qopI82cCbSo6SLvYKDLaufuXe2t/8ddyMwgcXfvlD6Cqa4EmU6uITBeR5fU8LqjzmnuAKuCVhs6jqlNUdZiqDsvMzHQRrjEmXGWnxwO0uBto94Fy9pVVkpeRSEV1DfvKKpt+Uz027SkjLyOxRcmjNblpASwUkX8ALzvPr8JFMThVPbWx34vIdcC5wCkayHJ4xpiQUfsv6a17W5YAVjndPyf2zmRT0UF2lxxuUf/7pqJSBmentSiG1uSmBXAznn2Ab3MeK51jLSYiZwK/Bs5XVaszZIzxieS4aFLio1vcAljtDACP6+VZlLX7QPMHgsurqtlefMhV/3+gudkTuBx42Hn4yt+BWGCa00Sap6o3+fD8xpgwlZ3e8qmga3YdoHNK3PdTMFsyELx1bxk1Ct1DIQGIyBjgXqAbR+4J3OKS0Kras6XvNcaYxmSnJbR4MdjqXSX0zUr+vpREQQsSwMZCzxTQ3FBIAMBzwC/xrAFoWwW3jTHmKNnpCcxYXUBNjf6o9EJjKqpqWF9Qyvi+HYiLjiQ1IbpFXUCba9cAtA+NBLBfVT/2eyTGGOMD2ekJVFTVUFhaTsfkONfv21BYSlWN0jcrGYCOSXEt6gLaVHSQ9MSYFq9DaE1uEsBMp3TDOxy5H8C3fovKGGNaKDvNMxV0y96yZiWA2gVgfTt5+v87JMeyu5mrgauqa5i5upCBXYOjfqabBDDC+XNYnWMKjPd9OMYY4526U0GPz013/b5vNu4lJjLi+9k7HZLiWF/QvO0aP19dwK4Dh7nvgmOb9b5AcTMLyPYCMMYEjS6pzmKwZswEmrmmgNcXbOXqkTnfb9bSMTmWwpLyZo0lvPLNFjomx3JK3w7NDzwA3KwDMMaYoBEXHUnH5FjXawF27DvEnW8s5pisZH53Tr/vj3dMjqOqRtlbVuHqPFv2lDFnXSGXH59DVGRwfLUGR5TGGNMM2WkJrlYDV1bXcNtr31FRVcMTVw4hLvqHfXk7JnumgrodCH5twRYEuHx4dotiDgRLAMaYkJOdnsC24qa7gP7y8WoW5hfzfxcNpHvmkaWbOzgDyAUupoKWV1Xz5oKtnHJMR7JS4lsWdAC42mRSREYDuRy5EOyfforJGGO8kp0Wz3uLD1FZXfN9n/7R3l+yg+fmbuK60bmcP6jzj35fO4PITQvgq/V72HOwgqtHdvMu8FbmZiXwS0APYDE/LARTwBKAMaZN6pqWQI3Crv2H6y21vHZ3Cf/91lKGdUvjt2cfU+85MtvVdgE13QI4uW8HPrh1LP2cNQTBwk0LYBjQzyp2GmOCRbpTwXPvwYp6E8DDn60lLjqCJ686jpio+lsIMVERtE+MYXeJuzGA/l2CY+5/XW7GAJYDnfwdiDHG+EpaomcVbnEDM3i27zvEoOzU7/v5G9IhOa5F9YCChZsWQAawUkTmc+RK4PP9FpUxxnghNcHTAmhoQ5ei0nL6OCt+G9MxObZF9YCChZsEcK+/gzDGGF9KcxJAfS0AVaWotJwMp4+/MR2T4li544DP42sr3KwEnt0agRhjjK+kxEcjAsX1tAD2H6qkslq/L/ncmA7JsRSVllNVXRM0i7uao8krEpGRIrJAREpFpEJEqkUkdFOiMSboRUYIyXHR7KunBVBU6unScbNhe6eUOGoUCktDsxvITUr7O3AFsA6IB24EnvBnUMYY4620hOh6WwAFToXPTBddQJ2dRV079oXmQLCrNo2qrgciVbVaVV8AzvRvWMYY453UhJgGWgCeY266gLJSPbOEdu5v2RaTbZ2bQeAyEYkBFovIX4GdeFlCQkT+F7gAqAEKgOtUdYc35zTGmLrSEqLr7bopKqntAnKRAJwWwM4wbgFc47zuFuAgkA1c5OXnPqiqA1V1MPAB8Hsvz2eMMUdIS4ih+OCPu4AKS8uJihBS4pvesSs5LorEmEh2hGsLQFXzRSQeyFLV+3zxoapadxA5EU9pCWOM8ZkGu4BKPFNA3dT4FxGyUuPDtwUgIufhqQP0ifN8sIi87+0Hi8j9IrIVuIpGWgAiMklEForIwsLCQm8/1hgTJtISojlYUU1FVc0Rx4tKy8lIanoGUK2slLiQHQNw0wV0LzAc2AegqouBvKbeJCLTRWR5PY8LnPPco6rZwCt4upfqpapTVHWYqg7LzMx0Ea4xxkBqYu1q4CNbAYUuF4HV6pwSz479odkCcDMIXKmq+0WOaC412WWjqqe6jOEV4CPgDy5fb4wxTUpLqK0HVHlEzZ+ikgqO6eS+amdWahxFpeVUVNU0WDguWLm5mhUiciUQKSK9RORx4CtvPlREetV5egGw2pvzGWPM0eorB1FTo+w5WE6GiymgtTqnxKPqfmewYOImAdwKHIunENxrwAHgDi8/9y9Od9BS4HTgdi/PZ4wxR0h1WgB1u4Bqy0A0pwuodi3Ajn2hNw7gZhZQGXCP8/AJVfV2GqkxxjTqhxbAD1NBa8tAuFkEVuv7tQAhOA7QYAJoaqaPlYM2xrRl9XUBFZa4rwNUq3NtCyAEZwI11gIYBWzF0+3zDdD0pFljjGkj4mMiiY2KOGJPgNqVwW7qANVKiIkiJT46JNcCNJYAOgGn4SkEdyXwIfCaqq5ojcCMMcZbntXAP7QAmlMHqK5QXQvQ4CCwU/jtE1W9FhgJrAdmiUiDc/aNMaYtST2qImhhSTnRke7KQNTVOTU+JCuCNjoILCKxwDl4WgG5wGPAu/4PyxhjvJd2VDmIotJy2ifGctS6piZlpcTx3ZZiX4cXcI0NAv8T6I9nkdZ9qrq81aIyxhgfSEuMZs2uku+fF5WWN7v7BzwtgOKySg5VVBMfE+nLEAOqsXUAVwO98MzR/0pEDjiPEtsRzBgTDDwF4Y7sAmrODKBaWSmhuS9AY2MAEaqa5DyS6zySVNX9OmpjjAmQtIRo9h2qRNVTvcbtZvBHq7sWYNXOA0x4fj77D/241HSwcVMLyBhjglJaQgzVNcqBw1UkxUaxp7SihV1AnhbAf5bs4MNlO2kXG8We0vJmDya3NZYAjDEhKzXhh4qg1TVKVU3zykDU6uR0Ab2+YCs9MhP55w0j6JIa79NYA8ESgDEmZNWtCFru7AvQnEJwtWKjIunWPoHUhBheuO540hObP47QFlkCMMaErNQ65SC27K0CoFOd0tDN8f4tY0mMiSQqMnRKQlsCMMaErLQ6FUGfn7uZ3PYJDO2W1qJzBXt/f31CJ5UZY8xRagvCvb94B8u27+emE3sQ6WIv4HBhCcAYE7KS46MRgZlrCumUHMeFx3UJdEhtiiUAY0zIioz4oe7PjePyiI0KnVW8vmBjAMaYkJaWEIMAVwzPCXQobY4lAGNMSLvl5J4kxUWRGGtfd0ez/yLGmJB20dCugQ6hzQroGICI3CUiKiIZgYzDGGPCUcASgIhkA6cDWwIVgzHGhLNAtgAeAX4NaABjMMaYsBWQBCAiFwDbVXWJi9dOEpGFIrKwsLCwFaIzxpjw4LdBYBGZjmdj+aPdA/wWT/dPk1R1CjAFYNiwYdZaMMYYH/FbAlDVU+s7LiIDgDxgibMvZ1fgWxEZrqq7/BWPMcaYI7X6NFBVXQZ0qH0uIpuBYapa1NqxGGNMOLNSEMYYE6akdq/MYCAihUB+C9+eAYRKK8Oupe0Kpeuxa2mbWnIt3VQ18+iDQZUAvCEiC1V1WKDj8AW7lrYrlK7HrqVt8uW1WBeQMcaEKUsAxhgTpsIpAUwJdAA+ZNfSdoXS9di1tE0+u5awGQMwxhhzpHBqARhjjKnDEoAxxoSpsEgAInKmiKwRkfUicneg42kOEckWkZkislJEVojI7c7xdBGZJiLrnD/TAh2rWyISKSLficgHzvM8EfnGuT9viEhMoGN0Q0RSReQtEVktIqtEZFSw3hcR+aXz92u5iLwmInHBdF9E5HkRKRCR5XWO1XsvxOMx57qWishxgYv8xxq4lgedv2dLReRdEUmt87vfONeyRkTOaM5nhXwCEJFI4AngLKAfcIWI9AtsVM1SBdylqv2AkcAvnPjvBmaoai9ghvM8WNwOrKrz/AHgEVXtCRQDNwQkquabDHyiqn2BQXiuKejui4h0AW7DU5KlPxAJXE5w3ZcXgTOPOtbQvTgL6OU8JgFPtVKMbr3Ij69lGtBfVQcCa4HfADjfBZcDxzrvedL5znMl5BMAMBxYr6obVbUCeB24IMAxuaaqO1X1W+fnEjxfMl3wXMNU52VTgZ8EJMBmEpGuwDnAP5znAowH3nJeEhTXIiIpwAnAcwCqWqGq+wjS+4KnLli8iEQBCcBOgui+qOocYO9Rhxu6FxcA/1SPeUCqiGS1SqAu1HctqvqZqlY5T+fhKaIJnmt5XVXLVXUTsB7Pd54r4ZAAugBb6zzf5hwLOiKSCwwBvgE6qupO51e7gI6BiquZHsWzEVCN87w9sK/OX+5guT95QCHwgtOd9Q8RSSQI74uqbgcewrM7305gP7CI4LwvdTV0L4L9O+F64GPnZ6+uJRwSQEgQkXbA28Adqnqg7u/UM5e3zc/nFZFzgQJVXRToWHwgCjgOeEpVhwAHOaq7J4juSxqef0nmAZ2BRH7cBRHUguVeNEVE7sHTLfyKL84XDglgO5Bd53lX51jQEJFoPF/+r6jqO87h3bXNVufPgkDF1wxjgPOdEuCv4+limIynCV5bmjxY7s82YJuqfuM8fwtPQgjG+3IqsElVC1W1EngHz70KxvtSV0P3Iii/E0TkOuBc4Cr9YQGXV9cSDglgAdDLmdEQg2fA5P0Ax+Sa00f+HLBKVR+u86v3gWudn68F3mvt2JpLVX+jql1VNRfPffhcVa8CZgIXOy8LlmvZBWwVkT7OoVOAlQThfcHT9TNSRBKcv2+11xJ09+UoDd2L94EJzmygkcD+Ol1FbZKInImn6/R8VS2r86v3gctFJFZE8vAMbM93fWJVDfkHcDaekfMNwD2BjqeZsY/F03RdCix2Hmfj6TufAawDpgPpgY61mdd1EvCB83N35y/teuBfQGyg43N5DYOBhc69+TeQFqz3BbgPWA0sB14CYoPpvgCv4Rm/qMTTOruhoXsBCJ6ZgRuAZXhmPwX8Gpq4lvV4+vprvwOervP6e5xrWQOc1ZzPslIQxhgTpsKhC8gYY0w9LAEYY0yYsgRgjDFhyhKAMcaEKUsAxhgTpiwBGFMPEWkvIoudxy4R2e78XCoiTwY6PmN8waaBGtMEEbkXKFXVhwIdizG+ZC0AY5pBRE6qs4/BvSIyVUS+EJF8EfmpiPxVRJaJyCdOCQ9EZKiIzBaRRSLyaVuqPGnCmyUAY7zTA09No/OBl4GZqjoAOASc4ySBx4GLVXUo8Dxwf6CCNaauqKZfYoxpxMeqWikiy/BspPKJc3wZkAv0AfoD0zxldojEs8zfmICzBGCMd8oBVLVGRCr1h0G1Gjz/fwmwQlVHBSpAYxpiXUDG+NcaIFNERoGntLeIHBvgmIwBLAEY41fq2Yb0YuABEVmCp5Lj6IAGZYzDpoEaY0yYshaAMcaEKUsAxhgTpiwBGGNMmLIEYIwxYcoSgDHGhClLAMYYE6YsARhjTJj6/437To7/IFZqAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] @@ -232,6 +240,69 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 9, + "id": "31ec9e16", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0., 0., 0., ..., 0., 0., 0.])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "PFexample.history[\"who_dies\"][0,:]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "603ae6e5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(203,)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "PFexample.newborn_init_history['pLvl'][1,PFexample.history[\"who_dies\"][1,:] > 0].shape" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "567440dd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(181,)" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "PFexample.newborn_init_history['aNrm'][2, PFexample.history[\"who_dies\"][2,:] > 0].shape" + ] + }, { "cell_type": "markdown", "id": "0ead3ec8", @@ -242,7 +313,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 12, "id": "adfbe431", "metadata": {}, "outputs": [], @@ -254,14 +325,14 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 13, "id": "5a0c394b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "{'shocks': {'live': },\n", + "{'shocks': {'live': },\n", " 'parameters': {'DiscFac': 0.96,\n", " 'CRRA': (2.0,),\n", " 'Rfree': 1.03,\n", @@ -272,12 +343,12 @@ " 'r_eff': (Rfree, PermGroFac)>,\n", " 'b_nrm': (r_eff, a_nrm)>,\n", " 'm_nrm': (b_nrm)>,\n", - " 'c_nrm': ,\n", + " 'c_nrm': ,\n", " 'a_nrm': (m_nrm, c_nrm)>},\n", " 'reward': {'u': (c)>}}" ] }, - "execution_count": 72, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -288,18 +359,7 @@ }, { "cell_type": "code", - "execution_count": 73, - "id": "08164ab2", - "metadata": {}, - "outputs": [], - "source": [ - "pfn.model['parameters']['LivPrb'] = 1.0\n", - "pfn.model['shocks'] = {'live' : Bernoulli(1.0)}" - ] - }, - { - "cell_type": "code", - "execution_count": 85, + "execution_count": 14, "id": "e9d068bd", "metadata": {}, "outputs": [], @@ -313,18 +373,40 @@ " },\n", " { # initial states\n", " 'a_nrm' : Lognormal(-6, 0),\n", - " 'live' : 1,\n", + " #'live' : 1,\n", " 'p' : 1.0\n", " },\n", " agent_count = 10000,\n", " T_sim = 120\n", - ")\n", - "\n" + ")" ] }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 15, + "id": "36ba1dda", + "metadata": {}, + "outputs": [], + "source": [ + "pfn_simulator.read_shocks = True\n", + "pfn_simulator.shock_history['live'] = 1 - PFexample.history[\"who_dies\"]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "bc84d3e5", + "metadata": {}, + "outputs": [], + "source": [ + "pfn_simulator.newborn_init_history['a_nrm'] = PFexample.newborn_init_history['aNrm']\n", + "pfn_simulator.newborn_init_history['p'] = PFexample.newborn_init_history['pLvl']\n", + "#pfn_simulator.newborn_init_history['live'] = np.ones(PFexample.newborn_init_history['pLvl'].shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, "id": "65df3a7f", "metadata": {}, "outputs": [ @@ -335,8 +417,8 @@ " [1., 1., 1., ..., 1., 1., 1.],\n", " [1., 1., 1., ..., 1., 1., 1.],\n", " ...,\n", - " [1., 1., 1., ..., 1., 1., 1.],\n", - " [1., 1., 1., ..., 1., 1., 1.],\n", + " [1., 1., 1., ..., 0., 1., 1.],\n", + " [1., 1., 0., ..., 1., 1., 1.],\n", " [1., 1., 1., ..., 1., 1., 1.]]),\n", " 'p': array([[1.01 , 1.01 , 1.01 , ..., 1.01 , 1.01 ,\n", " 1.01 ],\n", @@ -345,12 +427,12 @@ " [1.030301 , 1.030301 , 1.030301 , ..., 1.030301 , 1.030301 ,\n", " 1.030301 ],\n", " ...,\n", - " [3.23535623, 3.23535623, 3.23535623, ..., 3.23535623, 3.23535623,\n", - " 3.23535623],\n", - " [3.2677098 , 3.2677098 , 3.2677098 , ..., 3.2677098 , 3.2677098 ,\n", - " 3.2677098 ],\n", - " [3.30038689, 3.30038689, 3.30038689, ..., 3.30038689, 3.30038689,\n", - " 3.30038689]]),\n", + " [1.25716302, 1.09368527, 1.66107814, ..., 2.54805698, 1.030301 ,\n", + " 2.57353755],\n", + " [1.26973465, 1.10462213, 1.67768892, ..., 1.01 , 1.04060401,\n", + " 2.59927293],\n", + " [1.282432 , 1.11566835, 1.01 , ..., 1.0201 , 1.05101005,\n", + " 2.62526565]]),\n", " 'r_eff': array([[1.01980198, 1.01980198, 1.01980198, ..., 1.01980198, 1.01980198,\n", " 1.01980198],\n", " [1.01980198, 1.01980198, 1.01980198, ..., 1.01980198, 1.01980198,\n", @@ -366,59 +448,59 @@ " 1.01980198]]),\n", " 'b_nrm': array([[ 2.52783638e-03, 2.52783638e-03, 2.52783638e-03, ...,\n", " 2.52783638e-03, 2.52783638e-03, 2.52783638e-03],\n", - " [-7.93759059e-01, -7.93759059e-01, -7.93759059e-01, ...,\n", - " -7.93759059e-01, -7.93759059e-01, -7.93759059e-01],\n", - " [-1.57773444e+00, -1.57773444e+00, -1.57773444e+00, ...,\n", - " -1.57773444e+00, -1.57773444e+00, -1.57773444e+00],\n", + " [-1.30338194e+00, -1.30338194e+00, -1.30338194e+00, ...,\n", + " -1.30338194e+00, -1.30338194e+00, -1.30338194e+00],\n", + " [-2.57617872e+00, -2.57617872e+00, -2.57617872e+00, ...,\n", + " -2.57617872e+00, -2.57617872e+00, -2.57617872e+00],\n", " ...,\n", - " [-4.31808761e+01, -4.31808761e+01, -4.31808761e+01, ...,\n", - " -4.31808761e+01, -4.31808761e+01, -4.31808761e+01],\n", - " [-4.33094977e+01, -4.33094977e+01, -4.33094977e+01, ...,\n", - " -4.33094977e+01, -4.33094977e+01, -4.33094977e+01],\n", - " [-4.34361305e+01, -4.34361305e+01, -4.34361305e+01, ...,\n", - " -4.34361305e+01, -4.34361305e+01, -4.34361305e+01]]),\n", + " [-2.22289190e+01, -9.56314476e+00, -3.72398151e+01, ...,\n", + " -4.67738878e+01, -2.57617872e+00, -4.68937221e+01],\n", + " [-2.29711222e+01, -1.06265047e+01, -3.76013980e+01, ...,\n", + " 2.52783638e-03, -3.81670212e+00, -4.70105178e+01],\n", + " [-2.36945059e+01, -1.16629019e+01, 2.52783638e-03, ...,\n", + " -1.30338194e+00, -5.02577047e+00, -4.71243521e+01]]),\n", " 'm_nrm': array([[ 1.00252784, 1.00252784, 1.00252784, ..., 1.00252784,\n", " 1.00252784, 1.00252784],\n", - " [ 0.20624094, 0.20624094, 0.20624094, ..., 0.20624094,\n", - " 0.20624094, 0.20624094],\n", - " [ -0.57773444, -0.57773444, -0.57773444, ..., -0.57773444,\n", - " -0.57773444, -0.57773444],\n", + " [ -0.30338194, -0.30338194, -0.30338194, ..., -0.30338194,\n", + " -0.30338194, -0.30338194],\n", + " [ -1.57617872, -1.57617872, -1.57617872, ..., -1.57617872,\n", + " -1.57617872, -1.57617872],\n", " ...,\n", - " [-42.18087615, -42.18087615, -42.18087615, ..., -42.18087615,\n", - " -42.18087615, -42.18087615],\n", - " [-42.30949766, -42.30949766, -42.30949766, ..., -42.30949766,\n", - " -42.30949766, -42.30949766],\n", - " [-42.43613053, -42.43613053, -42.43613053, ..., -42.43613053,\n", - " -42.43613053, -42.43613053]]),\n", - " 'c_nrm': array([[1.7808741 , 1.7808741 , 1.7808741 , ..., 1.7808741 , 1.7808741 ,\n", - " 1.7808741 ],\n", - " [1.75333976, 1.75333976, 1.75333976, ..., 1.75333976, 1.75333976,\n", - " 1.75333976],\n", - " [1.72623113, 1.72623113, 1.72623113, ..., 1.72623113, 1.72623113,\n", - " 1.72623113],\n", + " [-21.22891902, -8.56314476, -36.23981511, ..., -45.77388776,\n", + " -1.57617872, -45.89372208],\n", + " [-21.97112221, -9.62650475, -36.60139796, ..., 1.00252784,\n", + " -2.81670212, -46.01051785],\n", + " [-22.6945059 , -10.6629019 , 1.00252784, ..., -0.30338194,\n", + " -4.02577047, -46.12435211]]),\n", + " 'c_nrm': array([[2.28060139, 2.28060139, 2.28060139, ..., 2.28060139, 2.28060139,\n", + " 2.28060139],\n", + " [2.22277389, 2.22277389, 2.22277389, ..., 2.22277389, 2.22277389,\n", + " 2.22277389],\n", + " [2.16641268, 2.16641268, 2.16641268, ..., 2.16641268, 2.16641268,\n", + " 2.16641268],\n", " ...,\n", - " [0.28766039, 0.28766039, 0.28766039, ..., 0.28766039, 0.28766039,\n", - " 0.28766039],\n", - " [0.28321287, 0.28321287, 0.28321287, ..., 0.28321287, 0.28321287,\n", - " 0.28321287],\n", - " [0.2788341 , 0.2788341 , 0.2788341 , ..., 0.2788341 , 0.2788341 ,\n", - " 0.2788341 ]]),\n", - " 'a_nrm': array([[ -0.77834626, -0.77834626, -0.77834626, ..., -0.77834626,\n", - " -0.77834626, -0.77834626],\n", - " [ -1.54709882, -1.54709882, -1.54709882, ..., -1.54709882,\n", - " -1.54709882, -1.54709882],\n", - " [ -2.30396557, -2.30396557, -2.30396557, ..., -2.30396557,\n", - " -2.30396557, -2.30396557],\n", + " [1.29616199, 1.8570201 , 0.63145862, ..., 0.20927661, 2.16641268,\n", + " 0.20397018],\n", + " [1.26329619, 1.80993304, 0.61544722, ..., 2.28060139, 2.11148057,\n", + " 0.1987983 ],\n", + " [1.23126376, 1.76403993, 2.28060139, ..., 2.22277389, 2.05794134,\n", + " 0.19375756]]),\n", + " 'a_nrm': array([[ -1.27807355, -1.27807355, -1.27807355, ..., -1.27807355,\n", + " -1.27807355, -1.27807355],\n", + " [ -2.52615583, -2.52615583, -2.52615583, ..., -2.52615583,\n", + " -2.52615583, -2.52615583],\n", + " [ -3.74259139, -3.74259139, -3.74259139, ..., -3.74259139,\n", + " -3.74259139, -3.74259139],\n", " ...,\n", - " [-42.46853654, -42.46853654, -42.46853654, ..., -42.46853654,\n", - " -42.46853654, -42.46853654],\n", - " [-42.59271052, -42.59271052, -42.59271052, ..., -42.59271052,\n", - " -42.59271052, -42.59271052],\n", - " [-42.71496463, -42.71496463, -42.71496463, ..., -42.71496463,\n", - " -42.71496463, -42.71496463]])}" + " [-22.525081 , -10.42016485, -36.87127373, ..., -45.98316437,\n", + " -3.74259139, -46.09769226],\n", + " [-23.2344184 , -11.43643779, -37.21684518, ..., -1.27807355,\n", + " -4.92818269, -46.20931615],\n", + " [-23.92576966, -12.42694183, -1.27807355, ..., -2.52615583,\n", + " -6.08371181, -46.31810967]])}" ] }, - "execution_count": 86, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -431,13 +513,13 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 21, "id": "9e2c7ad0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -457,21 +539,21 @@ }, { "cell_type": "code", - "execution_count": 88, - "id": "6b3b4811", + "execution_count": 22, + "id": "2b471cf1", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_11254/2889722531.py:1: RuntimeWarning: divide by zero encountered in log\n", + "/tmp/ipykernel_82097/2889722531.py:1: RuntimeWarning: divide by zero encountered in log\n", " plt.plot(np.log(np.mean(pfn_simulator.history[\"m_nrm\"], axis=1) - np.min(np.mean(pfn_simulator.history[\"m_nrm\"], axis=1))))\n" ] }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -491,23 +573,23 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 23, "id": "464f19e7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 89, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -524,13 +606,13 @@ }, { "cell_type": "code", - "execution_count": 90, - "id": "3c721410", + "execution_count": 24, + "id": "1cc1dc83", "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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