{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rescorla-Wagner Reinforcement Learning\n", "By Shawn Rhoads (NSCI 526)\n", "\n", "Adapted from [O'Reilly & den Ouden, 2015](http://www.hannekedenouden.ruhosting.nl/RLtutorial/html/RL_topPage.html) & [cldssty, 2018](https://github.com/cldssty/Gambling-Game/blob/master/data%20analysis/%20Gambling%20Game%20Code.ipynb)\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "import scipy.io as sio\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from glob import glob\n", "from pylab import cm,imshow,colorbar,axis,show" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "datapath = glob(os.path.join('data/*.mat'))\n", "data = [sio.loadmat(file, squeeze_me=True, struct_as_record=False) for file in datapath]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [], "source": [ "choices = {}\n", "choices_blue = {}\n", "rewards = {}\n", "prob_blue = {}\n", "trials = range(1,136)\n", "\n", "for index, sub_data in enumerate(data):\n", " choices[index] = sub_data['data'].choice - 1\n", " choices_blue[index] = [i if i==1 else 0 for i in sub_data['data'].choice] #change 2s to 0s\n", " rewards[index] = sub_data['data'].prep.feedback\n", " prob_blue[index] = sub_data['data'].prep.feedbackprob # probability of reward of one of the machines" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot choices and feedback probabilities against trials for each subject\n", "fig, axs = plt.subplots(2, 3, figsize=(15, 6))\n", "fig.subplots_adjust(hspace=0.5)\n", "\n", "for ax, (index, feature) in zip(axs.flatten(), enumerate(datapath)):\n", " ax.plot(trials, prob_blue[index], '-', trials, choices_blue[index], '+')\n", " ax.set(title=os.path.basename(feature)[-13:])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# add smoothed choice using lowess\n", "lowess = sm.nonparametric.lowess\n", "\n", "fig, axs = plt.subplots(2, 3, figsize=(15, 6))\n", "fig.subplots_adjust(hspace=0.5)\n", "\n", "for ax, (index, feature) in zip(axs.flatten(), enumerate(datapath)):\n", " smoothedchoice = lowess(choices_blue[index], trials)\n", " ax.plot(trials, smoothedchoice[:, 1], 'r--', trials, prob_blue[index], '-', trials, choices_blue[index], '+')\n", " ax.set(title=os.path.basename(feature)[-13:])\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reinforcement Learning\n", "\n", "**I. Definitions**\n", "\n", "1. For each trial, we associate a value between 0 and 1 with each machine called the **stimulus value**. Let $v_{t ,s}$ be the stimulus value of machine $s$ at trial $t$, then $v_{t, 1-s} = 1-v_{t, s}$.\n", "2. $r_{t, s}$ is the reward/feedback from machine s at trial $i$. \n", "3. $\\alpha$ is a parameter between 0 and 1. We will explore the effects of varying it later, and then find a possible interpretation for it. \n", "4. $cp_{t, s}$ is the probability of choosing machine s at trial $t$. \n", "5. $\\beta$ is a non-negative parameter. Again we will explore this further later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**II. Theory**\n", "\n", "The **Rescorla-Wagner Equation** is a way of updating stimulus values of each machine using the reward from the machine chosen in the most recent trial and the parameter $\\alpha$. \n", " $$v_{t+1, s} = v_{t, s} + \\alpha(r_{t, s} - v_{t, s})$$\n", "
\n", "The new stimulus values are used to generate choice probabilities for the upcoming trial using the **Softmax Equation**:\n", " $$cp_{t+1, s} = \\frac{exp(\\beta v_{t+1, s})}{\\sum_{s \\in \\Omega_{s}}\\beta v_{t+1, s}}$$ \n", "\n", "where $\\Omega_{s}$ is the set of values $s$ takes. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**III. Simulation steps:**\n", "\n", "1. take stimulus value for each machine \n", "2. use Softmax to generate choice probabilities \n", "3. toss a biased coin to generate a choice from the choice probabilities \n", "4. get reward \n", "5. plug into Rescorla Wagner to get new stimuli values \n", "6. repeat" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#let's simulate some possible choices based on the following parameter values:\n", "\n", "alpha = 0.25\n", "beta = 4" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.0\n", "\n", "probability of choice at t: cp(t, s): 0.5\n", "\n", "prediction error [ actual (0) - predicted (0.0) ] = 0.0\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.0\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.01798620996209156\n", "\n", "loglikelihood: -0.6931471805599453\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.7837066650390625\n", "\n", "probability of choice at t: cp(t, s): 0.9063323608781159\n", "\n", "prediction error [ actual (0) - predicted (0.7837066650390625) ] = -0.7837066650390625\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.5877799987792969\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.6686842196005055\n", "\n", "loglikelihood: -13.551524862749307\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.6784602116240421\n", "\n", "probability of choice at t: cp(t, s): 0.8065398396582049\n", "\n", "prediction error [ actual (1) - predicted (0.6784602116240421) ] = 0.32153978837595787\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.7588451587180316\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.8880286797067667\n", "\n", "loglikelihood: -21.959998473963445\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.7722944231378441\n", "\n", "probability of choice at t: cp(t, s): 0.8982889087034388\n", "\n", "prediction error [ actual (1) - predicted (0.7722944231378441) ] = 0.22770557686215587\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.829220817353383\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.9330033728503965\n", "\n", "loglikelihood: -30.354341162032682\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.588018213852056\n", "\n", "probability of choice at t: cp(t, s): 0.6691062878672892\n", "\n", "prediction error [ actual (1) - predicted (0.588018213852056) ] = 0.411981786147944\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.691013660389042\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.8217295113285757\n", "\n", "loglikelihood: -39.30467139653424\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.601325142374277\n", "\n", "probability of choice at t: cp(t, s): 0.6922375885819576\n", "\n", "prediction error [ actual (0) - predicted (0.601325142374277) ] = -0.601325142374277\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.4509938567807078\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.40322410805788733\n", "\n", "loglikelihood: -47.24131642923112\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.6716426388434804\n", "\n", "probability of choice at t: cp(t, s): 0.7978871732399009\n", "\n", "prediction error [ actual (1) - predicted (0.6716426388434804) ] = 0.3283573611565196\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.7537319791326103\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.8838962838132814\n", "\n", "loglikelihood: -54.50029973553757\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.33996470087153297\n", "\n", "probability of choice at t: cp(t, s): 0.2175021578700893\n", "\n", "prediction error [ actual (1) - predicted (0.33996470087153297) ] = 0.660035299128467\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.5049735256536497\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.5099457392492103\n", "\n", "loglikelihood: -64.70701978168525\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.6357444995672576\n", "\n", "probability of choice at t: cp(t, s): 0.7476194447516555\n", "\n", "prediction error [ actual (0) - predicted (0.6357444995672576) ] = -0.6357444995672576\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.47680837467544324\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.4537493452095533\n", "\n", "loglikelihood: -74.5352385000127\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.17990867905144978\n", "\n", "probability of choice at t: cp(t, s): 0.07170889554927902\n", "\n", "prediction error [ actual (0) - predicted (0.17990867905144978) ] = -0.17990867905144978\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.13493150928858733\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.05114710295249412\n", "\n", "loglikelihood: -79.7683609529244\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.32812826880389123\n", "\n", "probability of choice at t: cp(t, s): 0.20181743472615654\n", "\n", "prediction error [ actual (1) - predicted (0.32812826880389123) ] = 0.6718717311961088\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.49609620160291845\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.49219303773050643\n", "\n", "loglikelihood: -90.88062578720435\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 0\n", "\n", "value of stimulus at t: v(t, s): 0.4776586092523565\n", "\n", "probability of choice at t: cp(t, s): 0.45543578835044385\n", "\n", "prediction error [ actual (1) - predicted (0.4776586092523565) ] = 0.5223413907476435\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.6082439569392674\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.7039026240629536\n", "\n", "loglikelihood: -100.71326310373018\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.7334592216322495\n", "\n", "probability of choice at t: cp(t, s): 0.8661888841031252\n", "\n", "prediction error [ actual (1) - predicted (0.7334592216322495) ] = 0.2665407783677505\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.8000944162241872\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.9168848830475644\n", "\n", "loglikelihood: -108.22336367475455\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.564168008402026\n", "\n", "probability of choice at t: cp(t, s): 0.6255900741132273\n", "\n", "prediction error [ actual (0) - predicted (0.564168008402026) ] = -0.564168008402026\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.4231260063015195\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.3509213094402343\n", "\n", "loglikelihood: -119.29902924509722\n", "\n", "-----------------------------------------------\n", "stimulus chosen: s=c(t): 1\n", "\n", "value of stimulus at t: v(t, s): 0.6755083785446048\n", "\n", "probability of choice at t: cp(t, s): 0.8028284714617816\n", "\n", "prediction error [ actual (1) - predicted (0.6755083785446048) ] = 0.32449162145539523\n", "\n", "value of stimulus at t+1: v(t+1, s): 0.7566312839084536\n", "\n", "probability of choice at t+1: cp(t+1, s): 0.8862554690050082\n", "\n", "loglikelihood: -121.02545764057577\n", "\n" ] } ], "source": [ "## init v, choice probabilities, and choices\n", "\n", "# matrix of stimuli values \n", "v = np.zeros((135, 2), dtype = float)\n", "\n", "# matrix of choice probabilities \n", "cp = np.zeros((135, 2), dtype = float)\n", "\n", "# matrix of choices \n", "c = np.zeros(135, dtype=int)\n", "\n", "## set initial values \n", "\n", "# stim[t, :] = stimuli from trial i\n", "v[0, :] = [0, 0]\n", "\n", "# cp[t, :] = probabilities of choosing each machine at trial t + 1\n", "cp[0, :] = [.5, .5] \n", "\n", "# log likelihood for data fitting \n", "loglik = 0\n", "\n", "# log likelihood for optimal performance\n", "loglikopt = 0 \n", "\n", "## for loop for learning\n", "for t in range(0, 134): \n", " # generate random number between 0 and 1 \n", " h = np.random.random_sample(1)\n", " if h <= cp[t, 0]: \n", " c[t] = 0\n", " else: \n", " c[t] = 1\n", " \n", " # substitute into RW equation to get new stimulus for chosen machine \n", " s = c[t]\n", " \n", " # RW equation: \n", " v[t+1, s] = v[t, s] + alpha*(rewards[0][t, s] - v[t, s])\n", " v[t+1, 1-s] = 1 - v[t+1, s]\n", " \n", " # then substitute two stimuli into softmax equation to get choice probability for machine s \n", " # Softmax equation:\n", " cp[t+1, s] = (np.exp(beta*v[t+1,s]))/(np.exp(beta*v[t+1,0]) + np.exp(beta*v[t+1,1]))\n", " cp[t+1, 1-s] = 1 - cp[t+1, s]\n", " \n", " # compute log likelihoods for optimal performance \n", " if rewards[0][t, 1] == 1:\n", " loglikopt = loglikopt + np.log(cp[t, 1])\n", " else:\n", " loglikopt = loglikopt + np.log(cp[t, 0])\n", " \n", " if (t % 10 == 0) or (t == 133): # print for every tenth\n", " print(\"-----------------------------------------------\")\n", " print(f\"stimulus chosen: s=c(t): {s}\")\n", " print()\n", " \n", " print(f\"value of stimulus at t: v(t, s): {v[t, s]}\")\n", " print()\n", " \n", " print(f\"probability of choice at t: cp(t, s): {cp[t, s]}\")\n", " print()\n", " \n", " print(f\"prediction error [ actual ({rewards[0][t, s]}) - predicted ({v[t, s]}) ] = {rewards[0][t, s] - v[t, s]}\")\n", " print()\n", " \n", " print(f\"value of stimulus at t+1: v(t+1, s): {v[t+1, s]}\")\n", " print()\n", "\n", " print(f\"probability of choice at t+1: cp(t+1, s): {cp[t+1, s]}\")\n", " print()\n", "\n", " print(f\"loglikelihood: {loglikopt}\")\n", " print()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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2tIsWQjFrAMatx4yx951JI3/rrSxUcuoFWzXyycmcX7KwyagVZna2Go5csIDzMBRhYdIkkgGMaL8+4gLxa+R79yZH/IMP1G25ufRk7CyLFYXhk0suMfbkpZF/7jk1li2xbh09oz59rClgyuTqxo08hzTyhw4x7NOuneqVh+rgI3H99cFjsgrfwAdi3TrGoM2+zxNO4J8drFrFAr1+/fjnFMuXc15rnQIjSC973jwabqNcTU4OnZgjRyjmF4qtA3B1eeaZZGP99BONvo+4QvyGa4wSr0OGsCrQjtexfz/jsW3bqtodeiOfna3GsbWYNImVjC++CNx1V+jzKAqTVtdeG3yOlSvZ0MGubMJ11/F/doJnnyUlzwexY0doqeYjR8gssRNyOXSI1bMFBaTm5uc7G9uyZaH58RKSGvnHH/S+jbj58kZx8CC9/nBGXrY+LCtjnN+IRuwjplG9jLwTyORjw4YMj6xaFWg416xhYnP6dHpG27ap761bx20LF/L9UBAC+Pe/1TJzrbGQ1ExtDPX660Mb8B07uCIIx7gwwy+/UIzLB5GUFNo5WLGCzJuvvrJ+zMmTeeNevJirgEWLnI1tzBjKH4dDdjY9+CuuMJ+PrVuT719WZs2Tz8mhwmtmJmP+V19tf/w+oorqZeTXrWN8ff5868eRNMKGDRnT7NgxUI3vyivZOq2sjMknbbxehlhCCZtJbN7Mm4GMy2r3l2EcrZHZswdYvdr8eG++ydi+02ReRoazQqrqiqlTQ3fjcqpEKYRxGNAOzjuPOZpwSEgg4+yUU4L1dyTOOou9W7OzuToIt0KoW5fhotJSMr4WL46dXrc+LCF+jfzhw8FGvrSU3qkdkbLGjRlqad+er59/PrBr0iWXGMfrFYU3FatG/u23yVTIzWXRleTCAzTyjRoF6sHXqROaybFxI8eul4e1iowM9wU6NQl2NeXXrGEo75df3Bn5ggJ60FbP+8ILDCuFa8Cdmkr+/lVXhd6vbl01Ubt4MYsFpeiaj7hA/Br5O+8k/UsLLbvGKtq3Bx59VF22jh6t8osLChi+OXQo+ELduZPP27VTveJQoZP162mUu3enx6hlcWzYEEx30zYpN8KePcZ5AqtIT+f35CsM8nccMAD4/HPzfezKDW/ZQmfh8GF3Rn7lSrb6k4Jj4bBqFa8NIzVVgPOwXbvQ/6sWDz8M/N//8bn0+n3nIK4Q30ZeK6MKqEbezsW0d29ghavWK//pJ0r4Ll4cfKHWrcsLb8gQeueNGlGS2Azr1hnzlgE21pal5hK1a/MmY3bj2LPHHWe5USMm56zw+6s7duxgCCOUEJcQ9qped+/mY/36wXNnzhwez0jeVw+ZM7J6Q+/dm49G9EmAq9/169m4++ij1XGaoXFj3qiEUOm6viplXMGSkRdCnCGEWCuEWC+EuNvg/RZCiFlCiCVCiGVCiDONjuMZFIWekn6yOSmGuvvuQMEwaVwBVewpN5cX2eDBKoMhJYXJtKZNGbPfvl29yRhh/Xoa+QMHeOFMmKC+d8opwGmnBe7fuTMwaJA5HdStkb/pJq4gQjWhqCmQ4YdGjULv99BD1pt/6I38lCmMhwPA//7Hxx9/tHccO2jVyni7DDv9+itXCeFomcuXA998QyaW/KzvyccVwpK7hRCJAF4EcBqALQAWCCE+VRRF23XiPgBTFUV5WQjRCcAMAK0iMF6ivJzhlQcfBO67T92elgZ06hS+p6UWO3cGcqO1nrzWyNerF1gmvnAhGReXXmrcc1OLkhIaktatOcYdO1Svcc8eXnB9+gSO+4IL+GeGxx4Lf4H6sAaZfA9n5K+5xvox9+xRvf/ExECxsGOO4ePgweGPIz15q0b+k0+4KjErvMrMZIK2uJhsoXA3+ZUruWJ94w01fOgb+biCFU++F4D1iqJsVBSlFMAUAPrZqQCQmcQsANsQSUjvVp94FYKTUnLRrWDXrmAjr/Xk5YWqx4cfkk6WkECDP3iwebIrKYkJ4WHDePElJqo3kqVLmVvQN2EOh8GDGat1itmzGYf25Yate/Lbt5vHuvXIyeGNWzoAc+eqmkUy5GOlKnvXLs7J9HRr5x00KLQcsBCqcxCOPqkd465dDAFNnqw2Ljl4kKsbqw1zfEQFVox8UwBausqWym1ajAUwXAixBfTibzQ6kBBipBBioRBi4e5wscBQMDPyTqD35KdOVZX89u7lBZGYSNpYgwZsAwjQE69blxfN/v1MppqpOiYnA6efTsqjpNRJb8jsgp89m0bHqGNVSQmTem76tO7fHz4OXVMgV4BanXUjjBpFZpQV3HprYDjm0kvVuSPZX1aoviNHOlNWDQUpoRFONgNQQ5CjRnG+Dx+ufu6OO0hUCEU99RF1WDHyRvXvekrGMAATFUVpBuBMAJOFEEHHVhTlVUVReiiK0qO+3RijFqGM/LBh1lutKUqwka9fX/V0Lr1UbfmXnMx4ujSK0sgD4dkT27dTfkF+VhsSktv0Rj4piWPTyx4DrGjs35/a4E4hL16fK89aiJUrw4fdnMgNS2h/8wce4KOVPrsdOwYTDNzijTdYMGVlJSirgM8/n0n6H39kVTmgJoONmuD4iBlYMfJbAGjXdc0QHI65EsBUAFAUZR6ANACRk6sLZeRXrVI7/ISDlBrQxkZnzFApY8cfz5uGREZGoHGWRj4cdfPXX1nQIpX8LrgA6NWLz6XRkMeSkDx6Ixql9ODdJF7l8t+Pr1qHNPJWqowHDgx0NmrXVueOHarvjBn2Q3lW8MYbJAyEQ5s2DOndeSdXs337Au+9x/ekzpIvXhbTsGLkFwBoJ4Q4SgiRAuAiAPr12WYAAwBACNERNPIu4jFhUKcOGytLCVcttKGQcEhIoFzxySer2777DnjkET6fPz+wG5TeA7fqyeu99aee4jIcoNFISQmWC5ZFTpEy8r4nr+KCCxh6CIesLOu9XhcsUBP3QGCu58EH+Wjlu7/qKhboeYmrr1adDCto3pxhxrQ0XjPy/9+yhY/a/9NHzCGskVcU5QiAGwDMBLAaZNGsFEI8IIQYVLnbKABXCyGWAngPwL8VJYJVNnXqMOZpVJJtp5LzwAEu07W66rVr8/MVFWREyAsSCDTyn37K6kL5mdatzXMEZt46QGP/5ZfBqpCR9uRlWbuRtn1Nw/z51hqoyBtjqHoIgHNn795ARox27kiWVjgjryikULoJbRrh8895E7K7QhAi8Prq1ImPs2d7Ojwf3sKS1LCiKDPAhKp22/2a56sA9PF2aCFQUsK4YLNmgVIAACeh1T6U339P3vPixWoFqpZrv3dvYDJu6FA1fq9NWtWvb9z/VWLfPnpA0jsfOpS9ROfP583BaLlbpw5w0UXGBVTSyIdLFIbCUUcZd6iqaZB5mXDMGoB5kIkTQ9dDAGpIR3sTHj2aldOAurILJ/d84ADj4G4qm40gbzZOnARtyPKccxjy8VeDMY341JNfsYLLzc8+UwtMJLp2td4pSatAKSGN/J49NPRaQ/rQQ3wsKyNT4vTTKVMQDvv3M1QjmzMkJKge+pdfMj6uT4IlJ6uxTz0uvJBelN2OUD6CceAAczxWjHxenrUko1EBk3Qiyst5zvvvB8aNC30cu9WuVjFqFM/tpBeBETPMN/IxjfiUNQiVeB03Dnj3XWvHkZRH/bIaUBkEem9ZUTi5//vfQArcoEFsLGKEu+5iAk17DukN3XeffY3uNm2CO0nZxZEjrNh9/XV3x4l3WC2EAqgH//PP4XXhhaADoF2hySbzsk+sUehOD6fVruEwdixXGlYa3egxYQJw++18Lgu8fCMf04hvI++2qfDOnTTi2qq/Cy5gOEgmSbVL2ssuI6VNLre1F6osEzdCixaBiS6tN7Rvn3lRzLHHksapx6xZ9uSUjZCYSA6+ZPzUVCgKG1W3aRN+30WLWOAULpbdoQOL37SdpKZPZ/gtP5+Vps88oyb4zXDMMbyp2EmSWoXTzmD9+6urEpmb8I18TCO+jbyRJ//KK1xSW6G56Tny8phpadT++PRTVfBJvldQYGzkQ7F6pk4NlC/WxjX37zf36hISjL3Gu+4Kv9QPByFUJcqajI4dqc1ixZC6YSTJFWJuLvMxDRsGJixnzgxu4lK7NnDiibElX7FwIXNZAOdux45shuMjZhGfMflQRv7gQar7lZSET5DdfHNwsdGWLQyfXHFFcHWjDLMYGXmt4dbj3nupJX/KKXx90kk0FEeO0IibefJmcsN79tBbdAu/cYg9yNqCcN/ZU0+R9rh2rTpHtTTbrCweS3ucM87go5aUNm8eG9OMGBE7PXkffpiKqkuXcm7efLPPk49xxKcn37Ur8NprlMrVw452d9++jKVrcfAgY+uffgp88UVgFxxpyCUvWO/Jh+LJaw35WWfxHNJLNzPytWubG3k39EkJ35Nn9WmnTtZ09a0a+b/+4m+kdULkvPzgAzoPRUWBx+nWLXhF9+67wC23xI6BB9RrID+f39mvvzKkJLFvn3GVto+oIT6NfMuWLBIxMnR2qgm//VYt6JCQNMe33qIx1oZ9MjP5esgQilppbzJHH20s71pRwUmvvYAVhXS62rVJY7zoIuPxGXWHOnyY27ww8r17W4tFV2f88Qe/TyuG1GqVsNFNWBr5BQvIU8/KCjxO+/bBCdZdu7xn1riFDEumpFDy46uvgKefVt/PzbWWVPZRZYhPI79rFy8WI611q5ryJSXUcJ80yfjzmzbxuTa526sXPavERMZUteyEV14xZqocPEhDr/XWp0wh/fGPP3hzMKOy/fOfwTcAuYrwwshPnuw+th/v2LHDGrMGoPGaNo3MGYnCwuCep0YFTCefzFaADRqoDTi0zK333w9uIhKLRl4WQ2VksNl8jx7BKxu/21hMIT6N/Mcf0+AaqTA2b05Bp3DMGyOOPKAaeUUJpk/270+v5YsvqHljBUbVrnK1sXQpvSEzNckRIwIrbgGO6ZdfrGmR+wgPo+S7GVJTqUF01FHqttq1g2s19uwJNvI5OZyzhw7x+bPPsvMYYG4UI1Ht6hYyj7NvH+ev1Kb3EbOITyMfKvHaqxeNsGzMbQbJj9Zf4MnJ6rJc7y0rCif0tGnMCWgxfjxj/Ho0a8ZEldYoyxvJrFnUzjGTXVYUrji0RiA1lf+jVe8zFG680bp0bnVFfr499sq33warR+r7rw4YENzp6+BBioLNmxfsPEhZjYcfDtwei5785ZdTG//bb0nx3bo1cNWck8M57SNmEN9G3k3rulCFJoWFNKT6i/Grr+jJfP11cNxx1y5j7ffkZEoTaMM10shLXXGzGObzz/OGo9V8X7MGePNNb/ps7t5N9kZNxplnku1kFUOHqjd4GabRi5s99hjDelrk5zOPtGoVQ3TvvUd+fkWFmlyXekUSixYF9/6NNlq1Yq2AJA00bRroya9ezdaSPmIG8W3kjTz5TZvoPU+fHvoY0kjqLyyAMdM33lCbPEhI45yfH2yYMzPpdeu75CxfzuNoGQcyXCONvBm7xiiJ/N131D/3YolsR8ytuuL55+11EtNSH+V3J5P1AFddRuEXOXcefZQMm7/+4m956JCaXL/hhsDfo3lzFk7FEv78kz1qZRHdK68ENjUZNy6wtsRH1BF/PPmCncDhzUDjBGDPSlUPRiJ/D1CxHdixFNgagr/bMQd4/zkgZT+wdXHge6+9CqRnAJdcEvhe2RaeF+Cj9r1aB7ltw8+B/PzZHwJPPQKc1hUoqgz/iHzgnivo1RWkA7tN9O8TdvOYWxYBiZVx+90ruO3Qn8DWLcafM0JKBlCvfSCLRM/Vroko2Q/s+8P6/s2SgfJt/O137eJv8fgo4PzKUN327fT2x4xh4lziyBHuW7Cen03Zz9d/zFePAwCbfmH4aM8eajOdfjq95VjBj7OAe+4Eeg0g8eDYY9U5dfAg8PLL0R2fjyCISCoCh0KPHj2UhUbhjXD46VngmxhbwsYLrvoOaNZDfX333Syvl+qINQ35+cBtzYDm8bmgjSoKk4BJidRk+u03hqI2blQpuRUV3vD7Dx0Ctm1jhypfkA8AIIRYpChKj/B7EvHnyXc8G6gXotqzohwYfA4w/BLgQhP+OcBl547tlY1HdJPxpptIb7z2GmCghjmxfx8w4jLgumuB0xwt3XEAACAASURBVP8ZSKFcvAj48CPgtluBuppY/ltvAZ9/BnzwoeYECpfohw9zaV/fJLm29DfgvtGM8Urt7scfp6zxhAnm/5se+zYAM/8LFOlYPF260NusqAheEdUEFBYCtRQgpTUwNIyOjMSoUUDtTGBsJfX0/x4Cdu5SxekWLeR74x8H8joGflbqIl1yMdC0GX/Ll18CmjUHfpwDPD6ennCzZsCSxcD9Y5jQj6X2eqtWAe/fB+SlAi+9RKbbo48yhKit6Th0yBujPGIEiQ4ff+wzyhwi/ox83dbArlImDbUdnbTYnAgUNQQ6nGF+nLfuJh1S2zBE+/l1R4DGfQKPUVICXLAK6H020FnXlarDGcAwg96ye6YD+3MCj6MoTMjedZfaatAIKR2A8w4Cx5yjlo7/+QRQ2jT0/6bHjspwULnufx0+nH81FQUFQJIA0hpY/z7vr8tcUIdjKUg3+SfWTcjP/7qbc6fjwGCG1/OfU1K6Xi+gdUcg9VOgyUlAUQnw/Bf8XM5xQIfjgBVFfN16ANDBoDlOtFDSCNhbAYgK0kl//515qLKyQCNfXOyNkTe6Pn3YQvwZeYBe0/Tp5t18hg2jlxoKhYXBDUckZGJXz66pVYsFIGPG0Egfd1z4sUoteS1kh51HHyWLx8xDOeqoYFrdO+/Yj6MnVdYMHImhC0YIqnNKSedooLCQV0CKDWOkFTJbv56P2mS7NHRZWcGflUyuunVZc7F8OV9PmMDK54EDVTqnvh9srCAjAygHoJSRSaOVepD/+4UXuleIlZAV536BlWPE5xq9tNS81R7AEImRRK8WBQXmRl6GLow6L/32Gytb9d2nli5lPFIq9ElMnhyoQCkhJRJkKzgjVFQwAac16g0bBhbjWIGZkf/wQ/Lt/7CRePQC8sLdvLlqz6tHQQGQKIBUG4b011+ZEJWfB1RxMYBhteuuM2ZtvfIKH/XzSh7nvffUFZtk2ZjN0WihRQtg5PV8/sDYQCNfUsJr5777vBu3nCvaa+DHH43pyj4MEZ9G/vDh0EbeCgoLA6lvWtxzDx+NjPzAgXzUUygTEph40nLaAV4ERlx86aGF0vnYto2ffecdddvTTxvfNEIhsdLI68M1svWdXh8n0ogVRk/DhkBaEpBto43iiy+qPHDpbb/5pvp+v36MVRuFKt56i49NmnCu9O7NoiLJk09PV1cFV13FlaoX8hVeIjUVaN6Kz+vWCZRfHjKE/4sQ3lFzjYx83772ahtqOOLTyIfz5Pv3D1aX1CNUuOb887mUDkVdM+LJy+NqMW4cFS31kOM348gDxqqH//0vWwbagZknb1VV0WvECje/Y0fGlnNtVJVqaafy5piZqYYTDh8mXdII/fuzEUiXLjRe8+ZxRSiPk5Skcs5TUniDj7WEuKIA837l86xMSjqsXUsPH6AiZZcuXPF6gYED+V2ceKK6rW1b4NxzvTl+DUCMzSCLCGfkpfJjKDzzjLp81qN2bU7UUBW1ei/fTP1y/HjjbvaXXcZHO0a+vJysBbtxWjMjb0ex00t4Ua3rBUoPAVDU78cKtEZeet1ZWer/dPPN5s6BVo7aKJYtXwMM48mewrEEIYD3pvJ5Vib/9/bteT1++CH/f8A7x+GGG3jj7NxZ3SYF0nxYQnwa+dGjgRdeMH8/VJcmiY4dWcjhFHq9EyNPvrSU4zAKyUjNmFDhmtRUXlT6Cku7E/zvcI1OtdNNpyM3kEtwr5JzTvH8M3wss5HUkxr8isI6gxdfVDWNgNArxHfeIf1VUQJvsK++quYn5HFmzOCxYxFyoZKVwZXIk08y/DR/PpOxgHdzSlGAFSsCJcG3b2dFeqxgwwa2cozR5HB8GvnjjjMWA5OwUq4/ZUqwsJQVnH46e3fqmyDXqsUQkbZLjlSgNPLWc3OZrA217JQt+vRG3m5SKyEBSEgGjuiKnho0IBPJC7EzO2jXTtXUjyYKK/VX0k1yM0ZIT+fYJbVPv9oK5WVOnsybu/xd5ecSEtS8jZWbRbSRXjmuE3sxb3T77aSTGq1I3OL446n1IzXrY9GQnnkmw6hS9BCgg6eXOIkS4pNC+cMPDKWYaWSEasUncdNNLD/XxvqsYORIY+6uEMAnnwRuM2oTKHHnnWTihKMQPvggO2EB7mh1SanAEZ0n37w5uw/VVBQfBNJhj0I5YgRv9MnJbPP37LOVx9IYeTPjrK1LkPO3USMWRdWpE7hqKyyM3ZBERhaAfUD9ukB+5WqsqKiSrZRI4+aVkZdzXnu8Jk14c4kVtG7NegFtLiY1lfmEzz+P3rgqEZ9G/u67eVHoGx9L9O8fnpXg1FMaOtT6vqHa+y1bxiW6EY9ei1tvVZ+3bk3GhZOLPzEl2JOPFmbN4m+Unc0bYbTa2xXl08gn2ggbNW2qxty//z44zGLHOEs9+a5dSb+94w7V6Qh1s4g28isNb8F+IL1y5SpzC61b04Hxiv0iV6/y+xUCuPhiMphiBcOHU6FWeyPKyXGnkush4tPIh0u8hqviLC8np9fri6h3b8b6ZbzwhBOCuwZJyNhluCXdtm1cojZtSi/JaROJpLRgCuWhQ7wZ3n8/L8yqgoyvHjjA78ctHdYpiiuNlZ3E6x9/AN98w2rPwkL+HhddpCbiR4wA0tLsjaOggMn+xx5TtxUV2dO5r0qcfS5Q8T6wdzfQrrLosLiYRq1VK9I/vYLeky8u5kq+uDh25DiMWGqNG/N6jQFUTyMP0HgkJRl7iZEqNCkuDu7ypI/dS1x+Ob2RcBfy4MGMnX/xBbXkJ09msU2zZvbGlpQSHK5JTeWYq5rtos2XyH6h0UDf3sCfs+0Z+aVLgWuuYeVrYSHQs6eqWwPYky0+6yygQwdyy+vU4W9RXk6DP2+euYMQbdTKBIoApKcEGjgp771wIZ0Ho57HdqE38ps3s/VnVha/q1gw8lOnkkJ6dKX8RGkpNX6klHiUEQPfkAOEM/LPPcf3zWiUcuKYFUM5hV66d84cGmSZgNWPMT/f/CZgdMxVqyhzYNYuMBQSU4PDNTIBGE0KZTQLo049hY92wjV66mNmJldE0iDv2GH9f9q8mawU6cn36EGhL4C/TbRufuHwZWWYNCWR38eWLYHdoP7xD2+YQRUVPO5//sPkLqDO1cmTYyYcgpISOmvSc5cJ6KouMjRB9TTy8kI081Dr16fBtBNftwI9q2fZMnLxjYpjEhONS9/18IJdA9Bb1VMo9cevKmi/o2ga+f2VN0u7PHmA487J4QVeqxbZWgALdUaPtn6s/ftprOrUCfwtbrmFzUViEcvX8LGilDejpk059ssvJx3UqzmVkEB65gsvAKdU3pDl3KlVS6XiRhsbN/Jal1pEcoxGFfNRQHwa+WnTSFkyg7wQzTzU5GTGzr3+EWSTYwmnvHYttJ62m+MlpRoLlEWjO5TsW9qvX3TjljdXep9Ojfz8+arks4wRFxdb/32kjEFREckEWuP4yisMS8QiPviIjzL898QTZJZ9+CGdJ6+MfHk5veE1a/hdA6rjdtpprLSNBWzdykdp5OX//vzz0RmPDpaMvBDiDCHEWiHEeiHE3Sb7XCCEWCWEWCmEiCwvr0cPxjLNEK7I588/WfHqNQ3r1FNVbRvt+e0m4rQw8uQdGfk0YyN/6aU0tlWJ665jMnnWrMC6gqpGaeX3mmgjLKJPsukFuhTF+kpL6xRoayLKykjTjVUK5THd+SjDf88+ywpdqQfllZFft44rnC5d2KUNiJ1VoBG8uE4jgLBGXgiRCOBFAP8C0AnAMCFEJ90+7QDcA6CPoiidAdwSdCAv8c47wOLF5u+HK9dfsYLUxC022udZwQ03BOrDFxVxwrtJDv3738ADD6jHA5xTKPXsGoDHvuIKx8OLa5RVGqkkGzfh1q3pWQ4YQL68pPEWF9v/fY4/nqua4cOp9SKNY6wqUErI70uG/zIymCeqqPDWyEuvvUED9Xh9+6pMsFjRQJJsPj3dM0aanFixPr0ArFcUZaOiKKUApgDQj/5qAC8qirIfABRFMRF69whXXsmMthlatybnuHFj4/cjlXgFgivyQskWWMGAAeokGj2aE8lJiMOoGArgeEsNtkcSN91EJkL79qQjRgOKojHyNjz5lBSuIisqOPY9e5g8d2Kc77uPYcd33uFxhg1jvwI5P2PWyFd+X0c0Vb+y2rN2bfZJuNtwwW8PWiMvv9uGDYFzzuHzWPHkJfVVjufkkznHoy3bUQkrRr4pAC0XaEvlNi3aA2gvhPhJCDFfCGHYZkcIMVIIsVAIsXD37t3ORiyNUqjEa+vWrCJs29b4/UhdRGPHBkrMPvGEexrVzp2kpClKYDm8XSQZsGsASjHoK4f/9a/QHavc4vffySxZtw7Yuzdy5wmFw4eBhMrEnR12TXk5K12//pqva9cG7r2XjJKsLArS9exp/XhSZrhOHaqfXnutKkIXq0Y+USd4l55OJlvr1jTIp50G9Onj/jx6T17q2MyYwe2xYuSTkrha164ssrLU9p5RhhUjb1SOqB95EoB2APoBGAbgdSFEEAFcUZRXFUXpoShKj/pOi3rKy/nFWVGhLCkxfl8rEeslkpP5w3rpGb/+Oo1GWRkwcaJzZcLEVONwTa1awRfLV1/Ry4wUCgvV5Gs0L9QhlQtSO+EaIdjnVTJfMjN5cz/9dK7abr9d7ccbDo8+Sq48wJvFwYPMF7Vty+9o2DDr46pKJCYDEOp8Sk8nL37DBjLWVqxgYw+30Bp52WJw6lReA7fdpjYNjyYUhR777bdTggRgJbN8bmaDqhBWjPwWAM01r5sB0GcstwD4RFGUMkVR/gCwFjT63kMa0FBGfudO0tv+9z/j9yPlyeuTcg8/TAPg1TG/+ILdg5zAqBhKHt8othlJ0bKiougb+bQ04JRKkTs74ZqEBN4YteGJ/fspz1BQwNWJ1b6kWoG2OnVo9NtF5rLxFEIEsrU+/jhQTvuRR7zJ83TsyBDljTdSA0Z6yxkZpFYec4z7c7jF4cN0KrOz1cLLZcvU92NgtWHFyC8A0E4IcZQQIgXARQD0XTA+BnAKAAgh6oHhm41eDvRvWDHy4RKvt9wCbNrkfTGFntXz9dfGWvJ2oDXybkSrktKMwzV6CqWiMOYfyWSs1pOPVvKspATYVdnC0U64BuBvcugQPfbcXCYDr76aWjbt21OR0Qrkb5mWpiYsy8pIF7zkEs7RWEViamC4ZsEC5o/WrbOeeC0vN+/TDNCIP/AAE9QDBzIsIo18QUFMGNC/5+9TT3HVDajjOuecmKjIDTsCRVGOALgBwEwAqwFMVRRlpRDiASGEbL80E8BeIcQqALMA3KEoSmSCrZmZLC2/+GLzfcJ1PMrMBFq29H5sen6+ZNd4cUyZ2HNq5BNTrBVDVVTQaDkNp1nBCScwDzBwoP1+tV5hyRLg2acAiMrwgw2kp7MXwcqVQLdu6ndod4Uof9vNm9ViKIB863ffjQ0jZoYkTfhv+nRScb//noV/Vo38/fczkWpWwX3gACuIt29nd7WCAl4Dqan8vqT8cDQhr/U9e9SObXLb9OnuiRcewJJ2jaIoMwDM0G27X/NcAXBb5V9kkZSkSu+G2iclxdxLnDaNHsR//uPt2Dp3ZmcceZEXFbnX79CuDoqKzBlD4WBWDDVgAC8amdhNTGSo6/XXueKJBCZP5uMdd0Tm+FZQWMjZn5BsXwVTb8T01Ec7xVBAMOdekhJiNfEKBLK1fvxRbQZvh0L54Yd83L3bWDX2sccYlpkyhbH+pUtV4bbt22PjJqitqtc6d6mpMSNQFv21hF0cOMAy599/D71fqErOKVOAl1/2fmzdurHIShri4mL3nnzPnqTYNWum8pCdICkNUMqBcp3EwhlnMJGlNXTRqIKtahQU0MjbKYSS+OEHSiWfdBIvcqeevIy/S2dDzhUZwohlI6+VrtbOcWnkS0vNe91K/POffDRLoEo5cO3NcPx44O23oyPHYYTsbDorubnqeGRTmbQ06ldFGfFn5LdvZyJmyZLQ+40eHVh9qkWkuu4oCmO9UqwqJ4fLUTdo3pyhqbp1+T87bfIhjZmeYVNWxqWmlDzeuJGedqTiwSUlvGG9+iqVHLXCVlWJwkIgUdiPxwNqiOGnn7hidOrJn3QScOGFwPr1fN2rF4XrZK4olo18Upoa/tMa+cxMztdvvw2/QkpJoSE0y6/pjXxREW8IXbvGjiPSpAnp2iecoI7n8cepInr4cEzciOJPathK4hUIbLahhyy/9hq//cbWhB99xKRLuBuRFRQVkSffsSOTlU4bbEia4JHDQIrGCL3zDoWlNmwgzznSssOFhdT6KC2lN+20XsItpCdvR7dG4p13eCGnpPDv0kv5f3TrxlxGOGVRLQ4eVOdiXh7/xo/najBWVSiBSraWzpPv0IEhijZtrNEbjz6a//sffxjnZqSR14Ysp05laCdWPPnDh417U4Qjf1Qhqq+R37WLy8UmTYLf07I7vES4hK8TbN5MbZn33wc++wwYMiR0X1gz6KsUJbT5A+0jEJmmDNoWhtG8UPv2BQ52B1IcnH/aNBpnKXA3aJD63nHHWT/OwoVqsg6gsdiwgXr10cxXWIFWCyk9ncZdMsn++oue7BlnhFZazcvjzXHlytBGXntd3XcfQ5i33mp8bVc1PvmEq7Hly6mxA5AKKxlWMXAjir9wjVUjP3SoeYeoSIVrtHfvkhJO8o8/dndMOcEPHGAsctUqZ8eRYQl9uEZ+D/rmDIMHR0bKVVv6H00j37Ur0LqlvUIoCfmbyO9u/34qIq5bZ+/30c/h5cvp3c6da39MVQ0tW+vaa+lQydqK+fNp+MJVe8uiRDNv9+qrmfxv2ZJidqecojLM/vMfZ86O1zAK0X39taqa6XvyDmDVyGdkGDfrAHiXDZcUcgI9p33mTODss90dU8okuE3GJelK0SX0y0ppdEePthd2sAq9Jy/L+qsamzYBB/baK4SSkN/ZCSfw8emnKQNx7rk08lYNvZwvckUgX//3vyzdf+EF+2OrKiSlAocqm/IIQa2WgwdZlW11RXtbJRnPLEQ4ZIj6XCqlylqRvXsZKom2Ny+vmxkzgF9+ASZN4rYmTSjv0LFjdMeHeDTyJ57I5GC4isyMDHOVSTfSv+HOCQQm4bziyUsj77gYysTI6z35Ro3oxe/fz4vIa5GlOnXYH7V5c0oByGbnVY0HHgCSfgVO6GX/s+npZFXIRiGygcW+ffZuwvK3lTpB8vXSpZG5wXoJLYVy5Upqp0tWmVUjL/NLZt7u2rX8nuvVYyy+c2fVk7/sMpIwFi1y/7+4gRz7n3+SsDBxIrc1axYzzcbjL1yTlsb4nVYIzAhmoYDycnLZv//e+7GlpNALO/HEYO6zU8j/UyYoHRdDyXCNriCqWTNSKPPy+LpnT1ZbnnYaww9eo1MnxrSPPpoaMFJGuapRWAgkJzqjUBrx5AH+RnZ+H32FtJ6lEsvQaiHJuSlv2GZNe6ZOZc5BIpyRP+UUxuCFIGPnvfd4M83IiB12TVERxydXYyUlauOYI0esS1xEEPFn5FevZmIjXJ9Ts0lQVESa2m+/eT82IeiV9evnXeOAxEQmd84/n8nirCxnx/nbk9dJG9SvTxVFaeSBmGIGRAwFBUCKcMauGTOGcrKjRvG1drXlxJOXSoXxZOSTdLIGgFr8Y+bJX3ghK4UlystJGzUrupO5s4QEOndlZXQ8Ro6MHXZN//50kuTvVVzMa7R+fV6vsjdtFBF/Rn7JEuCee8JL1F50EQXC9Ii0Vve+ffxLSKDh9KKsedAgxid37gTOPNPZMczCNYrCpea+fXz9xBNqfUEkjPwbb7B+YPt2ao4bVTpWBQoLgaQEZ0Y+LY3cduloaI28nZt6cjLj2DffzNcZGfx+gPg28m3akF3Tv7+6v0zia6V3i4upuGm0KleUQIKE1Atq2za2KJT9+nH1rl29LFnCSt0YGWP8GXmridd+/dhcRI9IyQxL9OzJJFT37lx16LXanWDWLNLt3ODvYihduKaigtILL77I10Zl2l4iP59MoVq1eCOMVky+oABIhLNiqPnzeWOUBWTHH8/irrffZqGeHdSurRpHKQw3YIB7OYxIIzE1uBhKtnJMT2dSWuvgJCTQQGu7JY0Zw9zP9OnBxz90KLCVYno6k+Xjx/MGGyMGFDt2qKq3jRqphZBAzIwxxrM7BpBGPlxCcO9ecsy7dg3UkIi0Jx+JWOG119Io9exJY9ysmf1j/F0MpQvXJCbyu9RTKIHIGHltGCs9nXHLsjLvFUHD4eGHgaU3OvPkZQNpORfbtjVvUGMXixZRciPWJYe1xVCZmUyQ3nQTX5eV8YbXrVtgeCYzM9CJGD6cOZkPPmAyXgstCwvgXFm9mnLbeXksNoyFG+H111NiZcUKjunQIa62r746ZvIG1deTf/ddFqboaZQlJfQqImXk5d37888Zt92xw5tjSiU+radgB3+HawyUKDMzAymUyck0ND16ODtXKBQW8qaSnBy+4XokceaZQJLDmLxkvshCsaIiSu1OnUoP3w3OPpveaqxDyhooCmPP+/eT8SJxxRW8BiT++IN5MEk7BRjWKCoyNoTp6cCbb6ohnw8/pOcPcL726eO9wKAT6JVhCwtZ4LZlS8x48tXXyJslD086id6j5N16DXn33ryZRS1OZQi08CIhl2RSDAVwzNJzKirisvPaa73zTrXQXhSRqBC2iu+/Z49XJ+EaueqQctVr1jCBeOGFlDxwg4QE4LXXnDeHqSqYhf8Afj+y762EnF9yhXLkCJ2wbduMjXxGBuU2ZJetzp1VBktGBkN+y5ZVfX9iPeR8Xr+eN+hZs9QxXnYZc4NRRvwZ+euvt8ZiMKNxATS8kRLzz8jg5JYT3C27Rn8MtxRKI7lhrZHv1w8YMQJYvNh9f1ojHH+86vF17UqBsqrWaCkvZ9y7tNhZMZTU2v/Xv/iovQm7/b1lgjIceyzaMGNrSei9WPn8iy/4qG2LZ1QMlZ/P5K3MoX35JT17gN/xRx+xqcg2fZO6KoY08iUlXLmsWcPt6elkAV11VXTHh3iMyaelWStmMgsFzJpFb+uJJxhH9BqXX86JKfW1w/H5rUAaESGcH89MuwZgdWtODp9fdhmX4ElJZL943dD70kv5B7Ce4MQTvT2+FfxtVMqdyxokJqocaC+pj9LIxzy7RuZ4TDxpMyM/cSLw1lvhcz8LFrBW48cfufqeMIFUYkDN52iPGy1IIy/tjbaeRRZFRrIBjwXEnydvFWbhmmXLVJpaJHDuufSEi4p4M/KiccCDD7Kpc6dO7lUojcI1w4ZRZwdQl7+RShpJRgrAm0lpaeC2qkBRkTrznRRD9erF3IjUQ/dipSUhKYaxbuTNpKsl9EZe39Bavvfyy8Y1K0aJ1+bN6bk3axY7Rn70aDp2cjwlJWwBWbcuqbEx0Ie2+hr5zp3ZyLtDh8DtcvnnRRjFCHv3kn3RpIk39EmA1aHvvssMvlMkhvDkN29WVfP+8Q8a/EgZ+VNOoYcG0EtLTWUTjqpEUZG6hnWSeBUi8GbrpScvi2di3cib1V1IfPllYAJZr/oqjXNurrGEg54Fl5HBVU7jxtw/Vgr2Lr2UN3s5B/LyeP336cNt0R4fqrORb9iQHrVe40bL7ogExo9nrPmWW4DvvvPmmG6ahUgIUdnNx+CivOsuVdFPdrOKlJGXKxwget5YcTGZNYCzcI0eaWmktj75JL18NxgwgMeIhBS2lwhn5Nu3D2xV2aOHGvorLaUTNGkScw+yGEwLvZFPT2cfAimDESue/G+/MUSTns4iMP2qLtrjQ3U28ocPs3OPPjHjphm2FVhtfWYH779PPZlrrnF3HK0GuBbaxGukjby+ilGesyrRqhUweSKfOwnX6JGQQELAbbe5N85paeTwd+/uflyRRGKYxOvHHwc7JloxvJwcesE7d1JmRB+yMzLygLo6aNuWidijj3b3f7hBaSlrAV59lauL9esZUvrHP0id1taBRBHV18gfOMCEjV7PPTHRfUu+UJA3kMsuo2H2AnKCu9XbSUwxjqHqefLp6WyiHInGFbFAoczKAv7Rh8+98OQBUh4fftj9jfGFF2KCdhcWf1NyTRKvr78OPPWU+vqZZ+ix//ILlUh372a4TkI/BwYNonMj58qoUVQtla/r1WMs3ElhoFcw0qf680+1r2uMhJTij11jFWZf8DPPVM15lyzxTpdFGkO3tE+tPKwW0pNXFNXIy0Ss14gFT37rVmDuTD53QqE0wsUX8/GSS9ytFD/7jCGMPXuip+tjBeHCNfrEq8yFdetGr3fOHFa5Xn89txcVBbbkbN+efxL16vFPfrdHjpCB06IF0LSpN/+TXeiN/EUXsWGI3HbyyWwTWdXV3DpUX09eUg2r2oBoZWfdygzrj+m2sCop1Xh5nZnJpNbhwyxNP+00Nr746Sd35zPC9derVYx16jAfoC19rwrMnQvcWqkx46QYKhTcJkxlhXas68mHqrsAzCmUL77Im6x8LemFemds6dJAT3/ZMoZ/JMW0uJjEhqlT3f0fbqA38osXq79fejrzEHfcEdnwsAXE+ExygcRExjf1k2f0aL43dmxkznviiYzRPfCAdz+uV0ZeqwGuxaBBjFMnJADjxnHb8OEsRtHqf3sBrTJoWhplo6saxcVAoky8emzk3f7mzzzDG20kGs17iVAV1IC5kb/1VhITtEY+JSWYYvnkkzTyst5kyRI+yv2kExfNUIie5ikfJXW6pIQ3tKZNvamXcYjq68kDxsnDb78Ffv45cuds147iRMnJ3nnyZ5/N2KNbKQazcE3nzuTKJyVxBVJaGpnEa0UFcyXapPT+/VXfArC42B2FMhTcdtK66qrKm5AH9RWRhN1wjV7iQM6t4cO5gpRNsCX0BAl5LcmCqORk/kWTvdKyJWnasnm7HKMs8Jszh/ZA3qCihOpt5CdNogaLFjLmHClIsaqOHb0LQ+TmUmLAbfWpWbhm+9lx7QAAIABJREFU3z5g9myyAxo0IGshEkZ+yxayKv73P3Vb27bU465KaCmUXodrvNAqigeEqrsA2IhGuwo8+WRg6FA+LywM3zlNf50arWajLQBWrx5p2s2bq+M54QS161yM0Dyrt5E/88xgilWkKZSrV5PnfO21aucgt9i+nbHMzZvdHScxxZgNMW8ei5Rkv0wthVLb5MEt9Mtbea5o8OSlo+yVJ//++wwx1BSEqqAGeDPXsthGjGAfWIBJ2AsuoLLkzp1kov36a+DnzTx5bbV6tKV8d+5k3kqGkLp0CZSIjhF2TfU28vPnB4dmIu3JR+KHXbOGQl533+3uOGY8eZkslLob0sgrCvWxvYIR5SwaRv7yy4EHKmVrvTLyF1xAnnxNQSjpaoCJ0vvvVxORZWXq715YSObMuefSQE6aRE12Lcw8eSlwBlCtU7JzooGZM0nTlrU4Tz/Na0lqM0VTSluD6pt4BcjcEIKhCImGDYOrYL2E/GGHDaOSntsCJkD1prdvd3ccbcs2LeSYd+1SX59/vkp38wpGypzRMPItWgD7WgOr4E0xVE3E3+EaEydg1SpVcyknh4yq5GTyyHNzyUTJz1dlR/RO0UsvBc69bt34KCuzAeetML2CkdOyerVa2BVKCbcKUb2NfEaG6p1KRDoJovU+vOrULtuode7s7jhmxVB6BT1Zot2mjbvz6SEnu95Dq2ojP2cOsL4yPOBVMVRNw9/hGhNPvk4dPsr2jsXFlDlo0YKvn3yShVEyRKg3hHp5iORkOmxa5dgFC5jEj4aSKRBs5J96ig6lrDHJzWVxm1caVg5R/Y282049Ts5p9NwNjj2WRRZ9+7o7TlKaeWcogHS2hx+mcd++naGuAQO8k2Ru25bUVdlsAwCuu67qmSQvvggU/wx0h/fsmpqCxCRAJJgnXrOy+CiZUzL88txzNPRa+Qwg2Mh/8AHj21278vXevVzRLl2q7nP33XSk5s717v+yA73TInsAaCu6Y6B7laWYvBDiDCHEWiHEeiGEaWBYCHGeEEIRQkSgb5wD6FXgCgtptPRSB14iLY2xSHl+r3Daae7pedq+nFrUr8/vZORI4J57SNdctIgVievWuTunFu3bs4WbVrhq+HAu6asSxcVAWqV/44drnCPRhK0FqJ683sg/+ywbd8vXSUkMn+qruS+9FJg8WX0tDeeFF6rbos2uKSoi/106KfJ611a4LlsWmeY7NhDWyAshEgG8COBfADoBGCaE6GSwX20ANwH4xetBOoY++15QQHqTF31XzSAEi4vk+WMJSWnG4Zq0NGDwYF6YmzYxphiJBHJ+PotDZNUiQA9NFrxUFYqLgbTKC9EP1zhHUqq9cE16utrMW5tY3b6dlEuJigomZLVOUq1a9OS1elDRZtdcdhkwZUrgeIBAhk2fPpGXUgkDK558LwDrFUXZqChKKYApAAYb7PcggMcBeEjHcImbbgr02sNxc73C8uXUlZb82VhBYoo5G+Krr+jFH3UUl52RMPKvvcZVgvaYd99d9THL4mIgJZHhhsTqHbGMKMwS+QDn/sGDZDIBZIedfnqgkTdzgiSjK5yTVBWefL9+dNyMWGadO6sOnRwPEFibE+0bEazF5JsC0K43tgA4XruDEKIbgOaKonwuhLjd7EBCiJEARgJAC5mAiSTy8gJfV5WRHzeOxR+SERArkMVQihJctDNsGKtRgcB2Zl5OUKPvPztb9faqCsXFQGqi94VQNQ2JIYx8QkKgNMOYSsrqyy/z95byvAClDurXV4virF6nVWHkZUObPXuCFS9/+YWJ3z6ViqatWgGnnhpbBVuw5skblfD9XSEjhEgA8DSAsJU/iqK8qihKD0VRetSvir6Hv//OuJ5saVdVRj5GmgUEISkVgAJUGGjda4W1atVSX3tp5IuKmFfQJlqzs7k094qJZAXTpwMn9/GTrm6RZKKFJHHffcC0aQy/7N3L61B68t27q63x5s4NTJ4asbCMcMMNkc2vaWHkiIwdy+ZAEn370uZ8/rm6LQY8eStGfgsAbdyhGQBtJ47aALoAmC2E2ATgBACfxkTy9ZtvWGknPdSkJGbrIy3hunIl2QGbNkX2PHYRqtGD9NylEW7UiAJRAwd6d36jamPJ3DG6iObPZ+jLa7RrB2Sk+kbeLUKFawA27P76axZE1asHvPIKJS0WLmSFsKQz6w1ho0b0ks86K/T58/K4Yq4KSBuihX4+FxayKl3rsMSAJ28lXLMAQDshxFEAtgK4CMDF8k1FUfIB/G01hRCzAdyuKMpCb4fqAPqQQ/fugRSsSMMtG8ZraKsU9UPTa7ynprKaz0sYVRtLql1+fnBXJcl/9lJaAaCxSdjqG3m3CGfk69Th76pdQct5dsUVrFbt1o3X6c6d6udSU621UfzzT64AzjknciSHpCSGZIyckKKiwMJK2SxEcv8Bhm7TopvcD+vJK4pyBMANAGYCWA1gqqIoK4UQDwghBoX+dJQRbYGgSIeF7CKUPGxGBmOJjz+ubnv77WBNETcYNixY4vmEE2h0c3O9O0843Hwz8NcmPybvFokh2DUAjfzBg4FGfuZMhji0N3wZwpHYupWdpcKx4ObOJQV361Z3/0coSDaPmZHX3lykuqq2UveMM9yrx7qEJWqBoigzAMzQbbvfZN9+7oflEfSe/Kefstjn448jK20waBDPFWtGPlS45plnODm1gm7XXkvuvNvm1BKnnRa8rW1b/hmhYUNSO73EkSOMDSfC9+TdIikFKA0Rb87KCjbyCxaQKy9fA2TiaD355csp1/3zz6Gv05wcPhqFUrzCa69R/dUoxKs38kOGkC12553qtrVrmY+IYtVr9RYo02tHbNnCWJ/bNnrh0KmTqncdS5Ct7oxolN26cVmplYf1Omm0YUNwYcjhw9Qx0ctPAPSevEjIXn+9eiORioGJim/k3cJM8E6iTh3eUI3CNfI1ADzxRKC+lJEmjBFkPkeKoEUCQrDph1Hoddq0wD7IycnAI4+oNx+AK+Pzz4/c+Cygehv5Hj0YH+tRmQOuKnbNcccBV14Z2XM4QSh52AULWJE6YoS6zWsjf8klbIqhxa5dzJV8+mnw/ocOMVHnNib/8su8wRw5os6BBMUP17iFmXS1xNSpTLI2b05vuH17YyOvh9XrVBr5SHryubk09Fr1S4kTTqBDFwo5OZG9CVlA9TbytWvT4Eq+rjRYkW7Fdf75NCyxhlB9OSdN4qP2wvLayBuxa2Ti1ehCfeQRPnold3zggPr/JCjeNfGuqTBrQiMhV8wtWpAD36qVauTfeUctJJoyBfjHPyhHDNj35CNp5OUNR0uLBFgV/vbblAEPhZycqqcI61C9jXxRETBhArBiBV8XFwfztGsSQrVs04oqabd5beT13llmJo2B/kLVet1eXcT79tHgbNoEZGX6kgZuYdZOUuLzz5kYzc8nE+bIEfX37tBBbeK9fTuZKXKuWfXkGzRg+PW889z/L0YoLVWTqfo5WFhIfZ0ZM4I/p4UM3UTRm6/eRr60lMnD777j62bN6DHUVIRi10gPS8sMePttshy8glEpe0ICvXk9e2HLFuqRA95dIPv38/9r2RJQjvjiZG5h1hheYu1aeuxvvUUvfts2asD/+SfDg7LZhraZCEAphJUrwzczT0oiKSBSzCytg6Ofn1ZXG1Im3DfyEUJWFuNpe/fy9Y03ksJVUxGqL6fRZG3bVtX/9gJGnjzA30nvKWkvMK88+QMHgI0bybA6XOgnXt3CCk8eUKmQGRm8qa9aRYlpKUynr67OyWGs2wpB4r33WPQYCYSag1aNfN++9Pb1kghViOqtzpSQwAmzb1+0RxIbkOGJUC0AL7pI3fbttwxt6JOlTvHyy0y+6fHcc8GFUNKr692b7AY32LqVN/vGjZlAu/de4JE2vpF3C6tGXnY0S09nol1yz+UNX091/uYb3oytdFUbM4Z5NyN6rlvUqgXcfjsTyE49+SZN+BdFVG9PHuBySRr5a65hL86aCploNGJEnHsuq4G1vPSpU6k/4hWGDzfm3J99NnD88YHb5EX08MOBTUacoEkTVcNexnuVMp9d4xaJqUBFWaB0tBYyqS49+bQ0hlBlcw1p5Bs0oKGWubL33wceeMDaGHJyIpd4zc0Fxo/nyuO33wLfs2rkS0pYl6OlJlcxapaR37BBjQPWRIQqhpLfk5avLldBXsgKlJayQlH2kdVi9Wrq5GghL6L9+9VwmxMcOgSMHs2by6efqka+osz35N3ib6fBxJvPzqahPHCABl2IwDi7NJAnnkiqsxQsM5K/MEN2duSMfGkpPfhatYJrXo45hmPWOyd6FBXRgTKiYFYRqr+RnzZN7TBjZ/JUR/wdrjHw5DdsAE45JVDWoF490tq0JedOsXMnxaSM+PCPPUYvX4u8PHrx557Lps5OceAA8NBDTPT9+KNq5MtLfSPvFqHCfwB55Hv2sPfpk09ym76JuxFixcjPmsXjP/IIC+qOaNRbMzO5+pCrlVDjA/zEa0TRooVK1TJL/NUUhPK8Vq/mo3ZZKVkLbjxpiVC0OKPEa7t2bGKSkeHuItYmz/bvD/Tk/XCNOySGCP9p0aeP2khDsrfOOUc1kLt3Az17MjwIGNdTmCGSRl7OnY0bVR18idWrqblUUBD6GElJzE34Rj6C+OEHtagmVDeamoBQ4Rq5HE3R0Aq9NPKhYpjZ2bxYtLHd3bvZXzYry90Fol2F7N9PDfLtW/jaL4Zyh6QQ8wlgPHroUMa1169Xt7dqxQS8jMFnZLAyduNGvrbjyY8bx89GAnLOysSp1sjPmUOGUDgjD0S96rV6s2sALrnGjaNo0MknA126RHtE0UNiMgABFO4C9m0MfK97W+C2KylIJt/r3hZYPQ+oWyd4f7vYswHIEYA4GHys2hVANoDNy4E6lTHbCS9xmX/UUUDxNufn372O5wWAkh1A0VZAqTT8fjGUO8jvb+8G40Y05RXArI/49+lk4JPKBh/PPsAVo/Y3bVwL2LuR2ya/AJQfsfabp1T+uZ2fRsjfzLnTMI2PW1dyngJAwV/cVrYb2BemIrtpJlCkm8PpuUBamFCPRxCK11rdFtGjRw9lYaTuwFo89xylZXfvjnyzkHjAIy2Aw1Xcbi9WMeh54LgR4ffzYYy1XwLvXRR+Px/BGPgU0NOZvpUQYpGiKJabMlV/T16GHPbt8408AAz/ANhnkc5VVkZWQF5ecL9cu8jPZ2u0jh0DRaoA/jbbtgHt2wEplSGAt99movTqq8nK6N7d2XmVCuDQYYahEhOBN94Ali0DXngJaH+Gu/+ppqPNAOD8/4XWr7npJsbMu3RRJXilCJ7USwKA+0cDWdnAqFGUQ2jWFDjWQo/k+fOZmH/0Ue/56OvWURLl2GNJ6bz5Zj4HSPOc+RXw5lvOjt20ChvnKYoSlb/u3bsrVYIZMxQFUJQff1SUhg0V5bnnqua81QFlZfzuxoyp+nNfcYWiNG3q/XGHDVOUdu28P64PY+TlcQ6dc466jaTcwP1uvllRRo3i8+xsRbnhBmvH//JLHuvnn70ZrxEqKvinxQ03KErdutY+/8svivLWW54NB8BCxYatrf6JV6kdsWULaXylYZgAPlQkJTFpJItX3GDTJvb7NPr+CwrYE/fPP9VtkmGxa5e7xNqcOaxafO89JgEPHqzZDKuqRocOfNR+5yNHAv/8Z+B+zzxDXXnAHkEikhTF3btZyCUE/7QYN85617Tp01V2URRQ/Y38ccdxAvTty9c1mV3jBLm53rBrPvqIF7ZRK8Zdu6gk+MMP6raRI8lvf+kl0uvKy52dd8ECcrQ3bgQ+/JAl9r6Rrzp8/DG/d61EwYQJwFdfGe8vO3dZ/Y0i2R3qzjs59xSFommS4gnQeWzTxvoYDx9WG9ZUMaq/kU9O5t1efsH+BW4PXhn5UBRKI035/v2pyy89tYMHnZ1XUiilQNS2bf4cqGqce67qZJlhwgTG1CVN0a4nHwkjL1eTQtAbnz9ffe+996iwaQVRlhuu/olXgA0LZLLPv8DtoV49VWDKDYqLGf4xaokojbyWh7x0KX8z7QWibatmFUVF1EyRCfhPPlGTZz4ij6efZtJy2TJ2iDKDonCebd7M11av0/r1GVaRxt5LaIuy9AV7EyawrkOKrYWCVm44CmJlNcPIv/wyq+6GDSPv2od1vP8+jaRbhKo2Tk4Ormy9+GIycS69lK+demqFhYE3iwMHAgu+fEQWGzfyO584kRpCZpDMt8REzhWrjX0SEiLHmtPmBrKzA52QoiLr55VzL0pquNU/XAPQi8vKAt591zkVr6YiI8ObTlrhkmn6xiHSi3K71D18mMfJzaVksUzC+qgayJVbOEdBGsy9e+kMGDXONsNjj/Ha9hqhPHk70gsnnsg2gT17ej9GC6gZRl6rROnDHmbPZtLMbY/KUaNCG9dPPw2UNZYeeKdOjH2Ga5hshjfeYHVlXh4ZVlu3Aj/95OxYPuxDGvlwiXNp5H/9FbjlFnaVsoqJE5ng9QL79qnyGqNGqayYpk0Db1R2jHxmJllGXqyIHaDmGPmvvqLMqZ3J44Pf16uvuqdR5uWFbr3YvTs1TSTkRVSvHkM3Ug/eCbQrkZquRFrVkIJkRwxkD7Ro3JgU15IS4NlnVQ16K/BKG2bvXq74xo7l6wsvVPsrTJ0aKBdsx8iXlVGiY94892N0gJpj5AF6h3aWgT68Eyn77rtAiqQes2Yx/g/Q6zt0iBdRRQU/pxW4soOHHqLRAIAhQ9Tj+qgayGsv3HWXm0sGS4/KSlA7N2KvlCjlHH+rsop1+XLW1hhh3TpV+DAcEhIYJjSjjUYYNcPIT5oEvPgin/tenD1oY6VucP/9NLhmeO21wHDN9OnkzgsBDBigXnh28cEHaiN3+ejPgarD1VeT0XTxxdb2l1TbaBh5qSgpabfHH68WaL33HjBwoNpAJycnvJa8RGKiezVVF6gZRj4pKbSeuQ9zSE/ebbgmnJa/9kJNTOTSvXNnGnk3F3FRkUqfrVWLj3rtHB+RQ506wKBB1vr09uyp9hi2s9rKzg7f2ObwYcbXjZrWSHTpQvngp57iCrKkRB3Hn3+yIXdJCVeDd99tL/wSRbnhmmHk58wB7riDz+WF7sMacnNJOTSqVLUDq+waReEF+/XXaqvA7GznF0hhoXretm3Z/eq665wdy0dkIXMnQthzxp59Nnxbz4ULyW1//XXzfVJTWWF9+eXqfNdSKAHO0QMHyOjR930NBdlKMwqoGUZeFlgMGOANHbAmoXFjei6XXebuOFY8+bIyekrr11MCQbJg3DRr1hr5KDdv8BEG9eoB3boxJyO7uVlBcnKwtowef/3FR2kLjPDbb4yzL1sWHDbSVmVbbeKthe/JRxgy+fN//xfdccQjjMSZnCAcG0HrKekvIqeevKJw5Sa59ikpvJCXLrV/LB+RR716DAvanXPz5wNXXBHYhF4P6SSECuvMns3q+GOOUY+l9+SdGvn33gNmzrS+v4ewZOSFEGcIIdYKIdYLIe42eP82IcQqIcQyIcR3QoiW3g/VBaSR90KDpSbizjtZnu4Gs2aR/2yGCy4gY6F+/eCL6KGHqFJoF0KQHTFmDF/ffDMf/XkQm6hfnx73DTfY+9xffzExb8aEAVQjr+35q4e2GO/wYfLvTzqJr5s1Y8vCsjJnRr5+fVK4o4CwRl4IkQjgRQD/AtAJwDAhhL4yZQmAHoqidAUwHcDjXg/UFWTycODA6I4jXvHdd8C337o7RrduoSUlcnIYM09KUi8imSA9/nj+uYWffI9tSBEzq8JfElbkhqWRz8hQGTJm+wD0+C+7jHMSAI4+mjUjffs6M/KzZgF33WV+7gjCiiffC8B6RVE2KopSCmAKgMHaHRRFmaUoiszMzQfQzNthuoT05H04g1slykOHmPRavdp8n9JS0tXmzFGX1PIi+uMPdorSNvo2Q1ERi1g2b2ZBzdChPCYATJ6snstH7OHss4F//9u+xyuZOzLuboT69YF+/ZjvMQsFaT355cuZEzIK7wwYwDndu7f1Mf76K/D441GRG7Zi5JsC0H57Wyq3meFKAF8avSGEGCmEWCiEWLg7VPzMa+Tm8ofp06fqzlmd4NbI79tH+po0tkZITqaA1WefAaeeCnz5pXrxzpxJobJwDAqArJypU9l2bu9eapnL6kmp/y1Xdj5iD/v32xeQk5XSf/xhvs+oUfSmQyE/X1XKnDaNoZo1a9T3R44Err+eN4nUVHskjiiKlFkx8ka3PcM1hxBiOIAeAMYbva8oyquKovRQFKVHfTvZcy/gl7M7h1sjr6ejGUEIoGVLdpBq3Bg44wyV7irDPKEuYglpIPbvV70wGfYZM4bMic6dbf8LPqoAP//MwqkNFnsQS6Snc46E85I3bwbOOosJViNMnEiP+7nnKCoGBM7Zbds4xjlzgBtvDPT8w0FKDG/ZYv0zHsGKkd8CQCsE3QxAkEslhDgVwL0ABimK4lLNKgKYNw/45ptojyI+0awZPREr4RIjWK1ibNWKRn7ZMnaSkmjdmo8bN4Y/l9w3Nzc4dpqYyNiqj9iEmxXWhg2hK6qHDWOtzBdfAKtWGe9TuzbQqBENeLt23KY18i1bsihq8WLghRfsXQ9yFelUnsMFrBj5BQDaCSGOEkKkALgIQEDZmBCiG4AJoIHf5f0wPcD//hc1ClPc4+67eRElOGTcWk1USSP/9tuBZfAtW9LTt2LkO3Ykz/rDD4M9eR+xDSmh4ZRJFQq//cZ5kZRk7k0//jhXEn/9Bfz4I7dp52yrVkzOyiY6dhKvRx3FMVoJOXqMsE1DFEU5IoS4AcBMAIkA3lQUZaUQ4gGwa/inYHgmE8A0wS97s6IogyI4bvsYMSLaI6i5sMpqadmSYaHduwMvoJQUriashGv27qWHVb8+PffmzVla7yP2kZNDR8KJhMZHH9G7njlTVb7U4sABEjCaNjU38k88wUT9tGkqw0fvyQNcCSQl2csdpKXR6YhCyNiSa6YoygxFUdoritJGUZT/q9x2f6WBh6IopyqK0lBRlGMr/2LLwPtwh82bgdNPd06j7N2bCaxwDVtuvJFxVUUJ9pI++wwYb5jqCcTYsUCDBsCZZzKuunmzuvT2EdtISOAN+uWX7X923z7g++/NGTYHDpBq2ayZsZFXFMbYs7LU+PnUqYHqmR06kMBRUOBMyTRKOcGaUfHqwx2yspjPWLzY2efT03mBhJvkmZm8qLRSBBLHHAM0bBj+XJK98OWX1sI7PmILr73GUJtdhGLYHDrEv6ws1ms0aGC8T2kpbwSS1dW/f2AY6Jhj6OgcfbR1BUotpk8nRbSK4Rt5H+GRlUXGi5ZOZgdLllDZL5xSYEkJq1I/+CA4jr5yJXVFwjEo9u1TO/CMHUuWTriuRD5iB1ddpRZF2YFkYG3aFPxeaSm1kPLygOefB6ZMCd5HMmWyslQjb9bJ7PnnmYC1i3XrmBsMdx14DN/I+7CGvDznRn7OHPKUwxUhpaYCr7zCbjyvvRb43tKl1BUxuoi12LdPDQt98QWX8L4oXfVH8+YM9xh58nXqsGHH0KHmn9caeRmuufHG4P3+9S/nYn2yetYuRdQlfCPvwxqkkXdSlr17Nw2tLD83Q0ICk1upqVwaayE9tXAhmL17gRYt1CW5z6ypGUhOZnvJcL/33LmcW3oaZYcODNmcd55aR2EU1ikvZxOiRx+1P0ZJo/SNvI+YRK9ejGc6KcvetYtsFysUzJYtmfCSFDYJyX8Px7C5914yqWTJud/qr+bg+++pD6PH7NmcV0uW0NlYtsw43JKaSsZMVhZw2mnqnNNCMmzCVc8awTfyPmIa//43hcqcMAR27jT2iowgE2gTJwZub9CA5w7nyV9+OePwH31EZUvfk/exezdZVpKKCwQzbH79lVIYslHNN98AK1YEH0saeSc1I1lZVLIM19TcY/hG3kfksWuXNWYMoIZlkpMDtwvB90J58qWljN0fPMjXjRuzpZuPmoG33yZdVr/alOqSWVmsaE1ICDbyS5cyoXpYU6xv5CBII+9Ug2btWuCee5x91iHCFkP58PE3evUircxuPPLbb623D7znHmrMSEEnLb7/PrSi6ObNwLHHMmbapAlXHp98Ym+sPuIb69czFJOXp26TRj47m85DkybBIRNt4hWgETcqqpK5IicUyijB9+R9WMeRI4xn2kVGhvV2bmVlPI+RF9WggfGFJyG9q7p1eTGvWBEVrRAfUYKZkN2BA4zFy/zMeecF9zbIz6eHL+ddTo6x5HHXrmTJ9OrlbIzTpvGzVSh37Rt5H9bRoYN9GmVJCemTv/xibX/Z+GHr1uD3Fi+m1KvZUllr5GXSbPhwe+P1Eb8wM/J5eRQok4VNTz8NPPhg4D75+aRaWom1r1sXWgwtFIqLgQULwlOBPYRv5H1YR14eJ6cdhs327SyECtUwRIuGDVkMZdSPd+tWlryb3WikHHLduirXuSr7FviILho1ore+cmXg9ksvVRvGSFRUBIYQS0urprlQFLjyvpH3YR15eeTJr1tn/TOSrWCVXQMAQ4YYx+TlEvmHH4w/Jz353Fx6ZOPHM47vo2YgIQG48kqVqmiG8nKybMaOVbe98krVhPY6deK8bN8+8ueqhJ949WEd3bqRg25HfU82V7bKrgmFhg2Z+PrmG2OGwmmnAW++qRZd3X67+3P6iC88+2zwtv796TR88AFfJyaSqvvzz4H7hZMr9gI5OVU+L31P3od1tG9P7Q0tcyEcnHjyoXDaaaxalBr1WuTlkScfKjnro/qjtDQwTLfLoMVF797AwoUqZfKOOyhVXA3hG3kf9qAojK9blTeQiVSvjPzpp1O2wChxtXQp/3zUbHTqBNx6q/paygxr0bs3DfySJXw9fToLoqohfCPvwx6mTeNFZFV2+M47qQmi1eV2g1NPZezUqE/rPfdQxdBHzUavXqyRkI6IkZGXPVxlyEZhRKW7AAAKp0lEQVRqyVdD+Ebehz0MGMCYph3Nb68MPKDGTY36a+7bVzUMCR+xjVNPBXbsoAhZWRlDe3oD3rgxGVwnnRTYMKQawjfyPuwhN5d639pG26Hw4IPAc895O4ZPP2USVs+l37vXN/I+aOQBVlofOQJcd51x8dJ//8vthYV0Gnwj78NHJYYMYVx+7drw+06ZQj15L9GyJfuAfvNN4PZ9+3gT8lGz0aIFSQJffQXUqgW89BJF64wwbx6dhiZNrFdlxxl8I+/DPs45h49WQjZ2FCit4uijyYV+7jk1bFNRwSSv78n7ALiCHD+enHgz1UdFYWOQhx5ib9gotOarCvhG3od9NGvGHqr/+U/o/crKGELxgiOvRUICRcyWLFFvNIrCMV18sbfn8hGfuOACKpDOnk0dI31/AoD5ndtuYwX1V19V+RCrCkJx0unHA/To0UNZuHBhVM7tw0OUl5u319u+ncvgl15iXNTr83btyucrVlRNIYuP+MKOHQzdlJWRWivnixZlZWpx3/r14atlYwBCiEWKovSwur/vyftwjp9+ohaHmcxBfj5Qr573njzAG8trrzHmLwSLXz76SNWv8eEjPZ1GHDBvPZmczCruagzfyPtwjjZtmOy8/nrjuGdeHo3vkCGROX/v3ozPKwqbdg8ZYi0Z7KNmoE4dKqACoZOqb75JvnwcePFO4Bt5H87RqBHw+OOkqg0bVqUa2QG4917giiv43GfX+NDiiSeomlqrlvk+iYlqcVQ1hG/kfbjDNddQSnj6dLJuysvV995/Hxg6NLClWiRw8cXqctxIvdJHzUZaWrRHEFX4Sk4+3OPWW9lR59tv1SRseTmlD774wp5qpRN06ULO/CefVFuusw8fTuGza3x4h4oK0htXraK8a3r6/7d3vjF2VGUY/z1ppQ0YKW2DVrZlC25UbFRao636wViRtiFtTNCUEGwiZr9orEQjbJqQe000IRpbMIg2iDWkAUNF3WxQ0lQ+V4tKKZbtH2jLYrElVkwkRkhfP8zZME7vnzN373bO3Ly/ZDJzznln9rnPzLx39szcOVlf/alTVStznIHBn65xqmN66LTz57ObolNTF3VwBMdxLsS7a5z+s2JF9iOlc+f83e6OUzF+Bjqzh98EdZzKiequkbRO0qSkY5LuatE+T9IvQvt+ScP9FtqO7XuPdJzHrNOqLSY+X+7U1k1r7OcoE9NJY4xHs0kZP/utMcarXnXE7I+Y9fp1XJTVGLOdXtuKMe3KZbXWlYupv2uSlzQHuB9YD1wH3CLpukLY7cA5M3sPsB24p99C23HvvqMd5zHrtGqLic+XO7V10xr7OcrEdNIY49FsUsbPfmuM8apXHTH7I2a9fh0XZTXGbKfXtmJMu3JZrXXlYuqPuZL/KHDMzF4ws/8CjwKbCjGbgJ+H5T3AWslfJuI4jlM1XR+hlHQzsM7MvhzKtwEfM7Ov5mIOhZipUD4eYl4tbGsUGAVYtmzZqpMnT/YkevveI6W+CbeuHQHq/+0/m2xdO8IdN8zekzBl91kretXYj7/dTkeZbfe63kyo+tgv8/d71Trbx26/aLfPy+ov+wglZtZxAj4PPJgr3wb8sBDzHDCUKx8HFnXa7qpVq6wfXH3nRMd5zDqt2mLi8+VObd20xn6OMjGdNMZ4NJuU8bPfGmO86lVHzP6IWa9fx0VZjTHb6bWtGNOuXFZrXZmJfuCAdcnb+Smmu2YKWJorDwF/axcjaS5wOfCP6G8ax3EcZ1aY02g0OgY0m81XgEaz2RxvNpuvA/cB3200GmdzMZcDn200GhPNZvMLwHwze6zTdnfu3NkYHR2d8QcwgzXXLmo7j1mnVVtMfL7cqa2b1tjPUSamk8YYj2aTMn72W2OMV73qiNkfMev167goqzFmO722FWPalctqrSsz0d9sNk83Go2dsfFRrzWQtAHYAcwBHjKz70j6Ntm/DeOS5gMPA9eTXcFvNrMXOm3TX2vgOI5TnrJ98lE/hjKzJ4AnCnV355b/Q9Z37ziO4ySEv7vGcRxngPEk7ziOM8B4knccxxlgPMk7juMMMJUNGiLpLFD2J6+LgVe7RqVFHTVDPXXXUTPUU3cdNUM9dRc1X21m0UOgVZbke0HSgTKPDqVAHTVDPXXXUTPUU3cdNUM9dc9Us3fXOI7jDDCe5B3HcQaYuiX56J/yJkQdNUM9dddRM9RTdx01Qz11z0hzrfrkHcdxnHLU7UrecRzHKYEnecdxnAGmNkm+22DiKSBpqaSnJB2W9JykraF+oaS9ko6G+RVVay0iaY6kP0uaCOXlYVD2o2GQ9kuq1lhE0gJJeyQ9Hzxfk7rXku4Ix8YhSY9Imp+i15IeknQmjPo2XdfSW2XcF87Ng5JWJqT5e+H4OCjpV5IW5NrGguZJSTdWoTnouEB3ru2bkkzS4lAu7XUtknzkYOIp8CbwDTN7P7Aa+ErQeRewz8xGgH2hnBpbgcO58j3A9qD5HNlg7alxL/A7M3sf8CEy/cl6Lekq4GvAR8xsBdmruzeTpte7gHWFunbergdGwjQKPHCRNBbZxYWa9wIrzOyDwBFgDCCcl5uBD4R1fhTyTBXs4kLdSFoK3ACcylWX97rMMFJVTcAa4MlceQwYq1pXhO7fhJ00CSwJdUuAyaq1FXQOkZ20nwYmAJH9wm5uK/9TmIB3AC8SHh7I1SfrNXAV8BKwkOw13xPAjal6DQwDh7p5C/wEuKVVXNWaC22fA3aH5f/LIcCTwJpUvA51e8guXk4Ai3v1uhZX8rx1ckwzFeqSRdIw2SAq+4F3mtlpgDC/sjplLdkBfAs4H8qLgH+a2ZuhnKLf1wBngZ+FbqYHJV1Gwl6b2cvA98muzE4DrwFPk77X07Tzti7n55eA34blpDVL2gi8bGbPFJpK665LkleLumSf/ZT0duCXwNfN7F9V6+mEpJuAM2b2dL66RWhqfs8FVgIPmNn1wL9JqGumFaEPexOwHHg3cBnZv99FUvO6G8kfL5K2kXWn7p6uahGWhGZJlwLbgLtbNbeo66i7Lkk+ZjDxJJD0NrIEv9vMHg/Vf5e0JLQvAc5Upa8FnwA2SjoBPErWZbMDWBAGZYc0/Z4CpsxsfyjvIUv6KXv9GeBFMztrZm8AjwMfJ32vp2nnbdLnp6QtwE3ArRb6OEhb87VkFwLPhPNyCPiTpHfRg+66JPk/AiPhKYRLyG6YjFes6QIkCfgpcNjMfpBrGge2hOUtZH31SWBmY2Y2ZGbDZL7+3sxuBZ4Cbg5hSWkGMLNXgJckvTdUrQX+SsJek3XTrJZ0aThWpjUn7XWOdt6OA18MT36sBl6b7tapGknrgDuBjWb2eq5pHNgsaZ6k5WQ3Mv9QhcYiZvasmV1pZsPhvJwCVoZjvrzXVd1o6OHGxAayu+PHgW1V62mj8ZNk/zodBP4Spg1kfdz7gKNhvrBqrW30fwqYCMvXkB30x4DHgHlV62uh98PAgeD3r4ErUvcaaALPA4eAh4F5KXoNPEJ23+CNkGRub+ctWRfC/eHcfJbs6aFUNB8j68OePh9/nIvfFjRPAutT8rrQfoK3bryW9tpfa+A4jjPA1KW7xnEcx+kBT/KO4zgDjCd5x3GcAcaTvOM4zgDjSd5xHGeA8STvOI4zwHiSdxzHGWD+B0kGVBj0tPzhAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(trials, c, '+', trials, cp[:, 0], 'r--', trials, prob_blue[0], '-')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "def rw_learning_sim(index, alpha, beta):\n", " ## init v, choice probabilities, and choices\n", "\n", " # matrix of stimuli values \n", " v = np.zeros((135, 2), dtype = float)\n", "\n", " # matrix of choice probabilities \n", " cp = np.zeros((135, 2), dtype = float)\n", "\n", " # matrix of choices \n", " c = np.zeros(135, dtype=int)\n", "\n", " ## set initial values \n", "\n", " # stim[t, :] = stimuli from trial i\n", " v[0, :] = [0, 0]\n", "\n", " # cp[t, :] = probabilities of choosing each machine at trial t + 1\n", " cp[0, :] = [.5, .5] \n", "\n", " # log likelihood for data fitting \n", " loglik = 0\n", "\n", " # log likelihood for optimal performance\n", " loglikopt = 0 \n", "\n", " ## for loop for learning \n", " for t in range(0, 134): \n", " # generate random number between 0 and 1 \n", " h = np.random.random_sample(1)\n", " if h <= cp[t, 0]: \n", " c[t] = 0\n", " else: \n", " c[t] = 1\n", "\n", " # substitute into RW equation to get new stimulus for chosen machine \n", " s = c[t]\n", " \n", " # RW equation: \n", " v[t+1, s] = v[t, s] + alpha*(rewards[index][t, s] - v[t, s])\n", " v[t+1, 1-s] = 1 - v[t+1, s]\n", "\n", " # then substitute two stimuli into softmax equation to get choice probability for machine s \n", " # Softmax equation:\n", " cp[t+1, s] = (np.exp(beta*v[t+1,s]))/(np.exp(beta*v[t+1,0]) + np.exp(beta*v[t+1,1]))\n", " cp[t+1, 1-s] = 1 - cp[t+1, s]\n", "\n", " # compute log likelihoods for optimal performance \n", " if rewards[index][t, 1] == 1:\n", " loglikopt = loglikopt + np.log(cp[t, 1])\n", " else:\n", " loglikopt = loglikopt + np.log(cp[t, 0])\n", " \n", " return c, cp, loglikopt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What happens if we change $\\alpha$ ?\n", "\n", "Recall: \n", "$v_{t+1, s} = v_{t, s} + \\alpha(r_{t, s} - v_{t, s})$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "c0, cp0, loglikopt0 = rw_learning_sim(0, .1, 3)\n", "c1, cp1, loglikopt1 = rw_learning_sim(0, .5, 3)\n", "c2, cp2, loglikopt2 = rw_learning_sim(0, .9, 3)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot \n", "plt.plot(trials, c0, '+', trials, cp0[:, 0], 'r--', trials, prob_blue[0], '-')\n", "plt.ylabel(\"Probability\")\n", "plt.xlabel(\"Trial\")\n", "plt.show()\n", "\n", "plt.plot(trials, c1, '+', trials, cp1[:, 0], 'r--', trials, prob_blue[0], '-')\n", "plt.ylabel(\"Probability\")\n", "plt.xlabel(\"Trial\")\n", "plt.show()\n", "\n", "plt.plot(trials, c2, '+', trials, cp2[:, 0], 'r--', trials, prob_blue[0], '-')\n", "plt.ylabel(\"Probability\")\n", "plt.xlabel(\"Trial\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As $\\alpha$ increases, the difference in choice probabilities of trial $t$ and trial $t+1$ increases for all $t > 1$. So it can be interpreted as the sensitivity to reward and punishment. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What happens if we change $\\beta$ ?\n", "\n", "Recall, softmax rule: $cp_{t+1, s} = \\frac{exp(\\beta*v_{t+1, s})}{\\sum_{s \\in \\Omega_{s}}exp(\\beta*v_{t+1, s})}$\n", "where $\\Omega_{s}$ is the set of values $s$ takes. \n", "\n", "If $\\beta$ is negative, then for any given pair of stimuli $v$ and $1-v$, the smaller stimuli yields a higher choice probability, which doesn't make sense! If $\\beta<0$, that would mean the subject would be more likely to pick the stimulus that has the lowest value... \n", "\n", "**So $\\beta$ is a non-negative real number.**\n", "\n", "Notice that if $\\beta = 0$, then choice probability = 0.5. \n", "\n", "If take limit $\\beta \\rightarrow \\infty$, then choice probability converges to 0. \n", "\n", "One way of finding out a possible interpretation of $\\beta$ is to do some plots. There are many plots you can do but a particularly useful thing to do is to plot the choice probabilities for a machine over a range of differences between the stimulus values for several values of $\\beta$. \n", "\n", "I say several values of $\\beta$ because we cannot include all possible values of $\\beta$ in the plot. There are many different ways of constraining the values of this parameter. The simplest is to set an arbitrary hard bound." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Assume there are 2 stimuli A and B, where the value of B is always [1-value A]. \n", "# Subject should choose A most of the time when v_A > v_B, but not always\n", "\n", "# This is where the term 'softmax' comes from: the subject picks the \n", "# stimulus with the maximum value most of the time, so it's a 'soft' maximising function\n", "\n", "# For simplicity we pick a fixed v_B\n", "v_B = 0.5 # value of B (fixed)\n", "v_A = np.arange(0.01, 1, 0.01) # value of A from .01 to 1 (99 stimulus values)\n", "\n", "# assume 99 stimulus pairs\n", "diff = np.zeros(99)\n", "for j in range(0, 99):\n", " diff[j] = v_A[j] - v_B # difference in Value(A) - Value (B)\n", "\n", "# choice probabilities\n", "def choiceprobsdiff(bv):\n", " cpd = np.zeros(99)\n", " for i in range(0, 99):\n", " cpd[i] = np.exp(bv*v_A[i])/(np.exp(bv*v_A[i]) + np.exp(bv*v_B))\n", " return cpd \n", "\n", "# plot for several values of beta \n", "plt.plot(diff, choiceprobsdiff(0), 'black', label=\"beta=0\")\n", "plt.plot(diff, choiceprobsdiff(1), 'r-', label=\"beta=1\")\n", "plt.plot(diff, choiceprobsdiff(5), 'b-', label=\"beta=5\") \n", "plt.plot(diff, choiceprobsdiff(10), 'g-', label=\"beta=10\") \n", "plt.plot(diff, choiceprobsdiff(20), 'c-', label=\"beta=20\") \n", "plt.plot(diff, choiceprobsdiff(30), 'm-', label=\"beta=30\") \n", "plt.legend(loc=\"upper left\")\n", "plt.ylabel(\"Probability of Choice A\")\n", "plt.xlabel(\"Value(A) - Value (B)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can we set the values of $\\alpha$ and $\\beta$ so that we get the optimal performance of the model in the gambling game with this particular sequence of feedback probabilities? There are many ways to achieve this. Here, we use Grid Search.\n", "\n", "We run model over all possible parameter settings to find out which one gives the maximal probability of feedback probabilities = choice probabilities of model i.e. we find the maximum likelihood estimator $\\alpha$ and $\\beta$.\n", "\n", "This is the parameter setting that gives the best performance using this model. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Grid Search for model that gives optimal performance \n", "# instead of adding up the log likelihoods of getting the choices in the given data, \n", "# we add up log likelihoods of choosing the right machines based on data.prep.feedback \n", "\n", "def Likelihoodopt(alpha, beta): \n", " c, cp, loglikopt = rw_learning_sim(0, alpha, beta)\n", " likopt = np.exp(loglikopt)\n", " return likopt\n", "\n", "parama = np.arange(0, 1, 0.05)\n", "paramb = np.arange(0, 15, 0.6)\n", "\n", "Likopt = []\n", "\n", "for alpha in parama:\n", " for beta in paramb:\n", " Likopt = np.append(Likopt, Likelihoodopt(alpha, beta))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "25" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(paramb)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZjaQxY1oT+CXNAvYFFkXETjW2fw74UH66FrAjsFm+3+59wHJgAOiPiMmD1rsltTYz6zUCjVGppYSzgL3rbYyIr0XELhGxC3A08NuqG6rvmbcPGvTBLX4zs6akWy+2psUfEXMlTSxZfBpw7pqczy1+M7OmiDEqt7TsjNL6pP8MflpYHcBlkq6XNKPMcdziNzNrhmBM+VE94yXNKzyfGREzmzjru4HfV3Xz7BERCyRtDlwu6Y6ImNvoIA78ZmZNkIZ0cXdx2f73QRxEVTdPRCzIPxdJugjYDWgY+N3VY2bWJI0pt7TkXNI44C3AzwrrNpC0YeUxsBdwy2DHcovfzKxJrRrHL+lcYAqpS2g+cCwwFiAiTsvF3gdcFhFPFHbdArgo12Mt4EcRcclg5xvxwC9pAnAO8CJgJamv66SqMlNI32r35lUXRsTxI1lPM7NGJLVsHH9ETCtR5izSsM/iunuAnYd6vtFo8fcDn4mIG/K/KNdLujwibqsq97uI2HcU6mdmVkqrhnOOtBEP/BGxEFiYHy+XdDuwNVAd+M3M2pegr68zL5OOah9/nrDwGuCaGptfL+kmYAHw2Yi4tc4xZgAzANbdZAvWWrtctrxn+qN0PZc+O1C6rJn1hlZO4Bppoxb4Jb2ANAnh0xGxrGrzDcB2EfG4pKnAxcCkWsfJY2FnAmy07cvLR3MzszVSOh1D2xmV/1MkjSUF/R9GxIXV2yNiWUQ8nh/PAcZKGj/C1TQzqy+P4y+ztJvRGNUj4LvA7RHxjTplXgQ8HBEhaTfSF9TfR7CaZmaDclrm8vYAPgzcLKmSPP8LwLbw3JjVDwCHS+oHngIOigh345hZ25Cgby0H/lIi4irSdZFGZU4GTh6ZGpmZNadT+/g9c9fMrClyV4+ZWS8ZYpK2tuLAb2bWJHf1mJn1EAn6HPjNzHqHEGuXvxFLW+mqwP/44sXM/e6sUmXHL1tvmGtjZl3NLX4zs94iHPjNzHqKBGs58JuZ9Q63+M3Meo3UsYG/My9Jm5mNMgFrr9VXahn0WNIsSYsk1bxRuqQpkpZKujEvxxS27S3pTkl3SzqqTN3d4jcza0KLx/GfRcpPdk6DMqvdjlZSH/Ad4B3AfOA6SbNr3Mp2FQ78ZmZNEK3r6omIufmOhEO1G3B3vuk6ks4D9mOQW9m6q8fMrEl9UqmlRV4v6SZJv5L0yrxua+DBQpn5eV1DbvGbmTVhiF094yXNKzyfmW8bW1a929HWqsCg9y5x4Dcza4IE65RP2bA4IiY3e67ifckjYo6kU/LtaOcDEwpFtwEWDHa8rgr8m75oc9712SNKlX3wnM+VPu7SZ1c2WyUz61Kt7OMf9Fz1b0f7GDBJ0ouBh4CDgA8OdryuCvxmZiOpVYFf0rnAFFKX0HzgWGAsDHo72n5JRwKXAn3ArIi4dbDzOfCbmTWhlcM5I2LaINvr3o42IuYAc4ZyvlEL/JLuA5YDA0B/df+X0j3NTgKmAk8C0yPihpGup5lZLU7Z0Lw9I2JxnW37kK5aTwJ2B07NP83MRp/TMg+L/YBzcj/W1ZI2lrRlRCwc7YqZmXXyjVhGs9YBXCbpekkzamwvNTFB0gxJ8yTNe3rZo8NUVTOzVVX6+Mss7WY0W/x7RMQCSZsDl0u6IyLmFraXmpiQJ0HMBBj/klcMOnHBzKwVOrmPf9AWv6SvStpI0lhJV0haLOmf1vTEEbEg/1wEXETKOVHU1MQEM7MR0cEt/jJdPXvlWWP7koLxy4Dys59qkLSBpA0rj4G9gOp0pLOBg5W8Dljq/n0zaxeiXJ6eFubqaZkyXT1j88+pwLkRsURr/kK2AC7Kx1kL+FFEXCLpMHhuwsKcfM67ScM5P7KmJzUza6UxbRjUyygT+H8u6Q7SbLGPS9oMeHpNTppTiO5cY/1phccBlMu/kD29YoC/zl9aquwzy54pfVwnbDCzahKM7evSwB8RR0k6EVgWEQOSniQNtTQz61mCtuzGKaPMxd31SS3vU/OqrYCms8yZmXWLMVKppd2Uubj7PWAF8Ib8fD7w5WGrkZlZB0gt/nJLuykT+LePiK8CzwJExFPUHmNvZtY7JMaMKbe0mzIXd1dIWo88eUrS9kD5K6NmZl1IwNg2DOpllAn8xwGXABMk/RDYAw+tNLMeJ7p4OGdEXCbpeuB1pNf6qQYZNc3MekM3Z+eUdEVEvA34ZY11ZmY9qStb/JLWBdYn3QpsE56/oLsRaUinmVlPa8cRO2U0avF/DPg0Kchfz/OBfxnwnWGul5lZWxOtG6MvaRYpH9qiiNipxvYPAZ/PTx8HDo+Im/K2+2hwN8Na6gb+iDgJOEnSJyLi20N9IaNhm03W48QDVssEUdPtJ/x9mGtjZt2sxSkbziLdU/ecOtvvBd4SEY9K2oeUir54R8JGdzNcTZmLu9+WtBPwCmDdwvp6FTQz6wmtStkQEXMlTWyw/Q+Fp1eT0tQ3rczF3WOBKaTAP4d0L9yrqP/NZGbW9Ubx4u6hwK8Kzyt3Mwzg9HxzqobKjOP/ACmT5p8i4iOStgDObKa2ZmZdQ9BX/ua14yXNKzyfWSZAr3ZKaU9S4H9jYfVgdzNcTZnA/1RErJTUL2kjYBHwkqFW2Mysmwyxxb+4zEXXhueTXk1qdO8TEc9dpCzezVBS5W6Gaxz450naGDiDNLrnceDaJutuZtYVhBg7pnyTf43OJW0LXAh8OCL+Uli/ATAmIpYX7mZ4/GDHK3Nx9+P54WmSLgE2iog/N1V7M7NuMbSunsaHks4lXUsdL2k+cCz57of5BlXHAC8ETsl3LqwM26x5N8PBzlemxY+krYHtKuUlvXmwPiQzs27Wyou7ETFtkO0fBT5aY33NuxkOpsyonhOBA4HbSBMEIF1FbirwS9oBOL+w6iXAMRHxrUKZKcDPSGNXAS6MiEH/fTEzG0kdmrGhVIv/vcAOEdGSVMwRcSewC4CkPuAh4KIaRX8XEfu24pxmZsNhTIfemqRM4L+H1Nc0HDn43wb8NSLuH4Zjm5kNG9HdLf4ngRslXUEh+EfEJ1tw/oOAc+tse72km4AFwGcj4tYWnM/MrDVaeHF3pJUJ/LPz0lKS1gbeAxxdY/MNwHYR8bikqcDFwKQ6x5kBzADYapsJbLXh2qXO/4snVjRTbTMzICdp69aunog4e5jOvQ9wQ0Q8XOOcywqP50g6RdL4WkmI8uy3mQCv2uW1MUx1NTNbTdd19Ui6ICIOkHQz+X67RRHx6jU89zTqdPNIehHwcESEpN1IN4V3Ok0zaysdegOuhi3+T+WfLR9ZI2l94B2knP+VdYfBc5MVPgAcLqkfeAo4KCLcmjezttKhcb9hPv6F+WfLR9xExJOkWWjFdacVHp9Myk1tZtaWuvXWi8up0cVTEREbDUuNzMw6RNfdejEiNgSQdDzwN+D7pC+5DwEbjkjtzMzalATqthZ/wTsjoniLr1MlXQN8dZjqZGbWETr14m6Z6QcDkj4kqU/SmHzT34FB9zIz63Kp1T/40m7KBP4PAgcAD+dl/7zOzKxniRRAyyztpmFXT06i9r6I2G+E6mNm1hkEfR3a19Mw8EfEgKT9gG+OUH3WyNrxLNsMPFKq7FMDnhZgZmumM8N+uYu7v5d0MimH/hOVlRFxw7DVysyszaVx/KNdi+aUCfxvyD+LN0IJ4K2tr46ZWefo2uGcEbHnSFTEzKyTtLLFL2kWKT3OoojYqcZ2AScBU0mp8qdXel0kHQL8Zy765TKJNQe94CxpnKRvSJqXl69LGlf+JZmZdSeVXEo4C9i7wfZ9SKnpJ5HS0J8KIGlT0o3Zdwd2A46VtMlgJysz0mgWsJw0pPMAYBnwvRL7mZl1L4m+MeWWwUTEXGBJgyL7AedEcjWwsaQtgXcCl0fEkoh4FLicxl8gQLk+/u0j4h8Lz78o6cYS+5mZdS1FoJFLGrw18GDh+fy8rt76hsq0+J+S9MbKE0l7kFIlm5n1tlhZboHxhe7yefnOgUNR69+GaLC+oTIt/sOBs3O/vkj/jhxSYj8zs66mFNTLWBwRk9fgVPOBCYXn25DuRz4fmFK1/srBDlZmVM+NwM6SNsrPlw2yi5lZD4hKa34kzAaOlHQe6ULu0ohYKOlS4CuFC7p7Ufs+5qsYNPDnlv6xwJvz898Cx0fE0iZfgJlZd2hRH7+kc0kt9/GS5pNi7th0ijgNmEMaynk3aTjnR/K2JZK+BFyXD3V8RDS6SAyU6+qZBdxCGtED8GHSqJ73l3tJI+jpx1l561Wliq5Y6ZQNZrYGItDK/hYdKqYNsj2AI+psm0WK06V5VI+ZWbNGrqunpYZ1VI+kWZIWSbqlsG5TSZdLuiv/rDnZQNIhucxdeWaamVkbiaGM6mkrZQL/4cB3JN0n6T7STdAPK3n8s1h9MsFRwBURMQm4Ij9fRbOz0czMRkzQsYF/WEf1RMRcSROrVu/H88OPziYNPfp8VZnnZqMBSKrMRju37LnNzIZXwMr2C+pllMnV8xVJG0fEsohYJmkTSV9eg3NuERELAfLPzWuUaWo2mpnZSNLK/lJLuynT1bNPRDxWeZLzQUwdvioBQ5iNJmlGZTbcI48tH+ZqmZllEeWXNlMm8PdJWqfyRNJ6wDoNyg/m4ZxciPxzUY0y9WaprSYiZkbE5IiYvNnGG65BtczMhqhD+/jLBP4fAFdIOlTSP5Oyvw2a77mB2Tyf8uEQ4Gc1ylwK7JW7lTYhzUa7dA3OaWbWcoqVpZZ2U+bi7lcl/Rl4O6kL5ksRUSoI15mNdgJwgaRDgQeA/XPZycBhEfHRZmejmZmNnBFN2dBSZSZwERGXAJcM9eANZqO9rUbZecBHC8+HPBvNzGxEdXPg7xT9Tz7JYzdcX6psZ35cZtYu1MKUDSOtqwK/mdmI6tBx/A78ZmZNac+hmmWUScs8Cfh/wCuAdSvrI+Ilw1gvM7P2VknZ0IHKDOf8HumO7v3AnsA5wPeHs1JmZp2gU4dzlgn860XEFYAi4v6IOA546/BWy8ys3XVuds4yffxPSxoD3CXpSOAhaufXMTPrHREw8Oxo16IpZVr8nwbWBz4J7Eq6A5fz45tZz4uVK0st7abMzN3K7NnHyfd5NDOzgJUDLTuapL2Bk4A+4MyIOKFq+zdJ11khNcY3j4iN87YB4Oa87YGIeE+jc5UZ1fMy4HPAdsXyEeF+fjPrXUHLAr+kPuA7wDtISSqvkzQ7Im577nQR/1oo/wngNYVDPBURu5Q9X5k+/h8DpwFnAK37ejMz62BBEAMtC4m7AXdHxD0Aks4j3bTqtjrlp5FynzWlTODvj4hTmz2BmVlXioD+ll3crXXzqd1rFZS0HfBi4NeF1etKmkcadn9CRFzc6GR1A3++7y3AzyV9HLgIeKayvR2zZfY/8TR/u+bO0a6GmfWCCKJ8V8/4HJgrZkbEzMLz0jefAg4CfhIRxZNvGxELJL0E+LWkmyPir/Uq06jFf30+caVCn6uqkGfumllvKz9iZ3FETG6wvfTNp0iB/4jiiohYkH/eI+lKUv//0AN/RLy4QSXNzHrckFr8g7kOmCTpxaS5UgcBH6wuJGkHYBPgj4V1mwBPRsQzksYDewBfbXSyMqN61gU+DryR1NL/HXBaRDxd9hWZmXWdFo7qiYj+PEH2UtJwzlkRcauk44F5ETE7F50GnBexSna4HYHTJa0kzc06oTgaqJYyF3fPAZYD3y6c+PvkO2eZmfWmaGla5oiYA8ypWndM1fPjauz3B+BVQzlXmcC/Q0TsXHj+G0k3DeUkZmZdJ4J4dsVo16IpZVI2/EnS6ypPJO0O/H74qmRm1gEiz9wts7SZMi3+3YGDJT2Qn28L3C7pZiAi4tW1dpI0C9gXWBQRO+V1XwPeDawgXXH+SEQ8VmPf+0jdSwOkeQSNroabmY2KdszDU0aZwL93k8c+CziZdI2g4nLg6Hwh40TgaODzdfbfMyIWN3luM7Nh1tpcPSOpzASu5bW2DzaBKyLmSppYte6ywtOrgQ+UqqWZWbtp4aiekTaUCVxFrZjA9c/A+XW2BXCZpABOr5rhZmY26iKCaF3KhhE1KhO4JP0HKafED+sU2SNPP94cuFzSHRExt86xZgAzALYYuzZL7n50WOpsZraqLuzqKcozw2UyHQoAAA7tSURBVCax6s3WawbiEsc6hHTR921VkxCeU5h+vEjSRaTMdTXPl/8bmAmww/obdOYt782s8wStzM45osrM3P0o8ClS7ogbgdeRpgsPOR9/vtHA54G3RMSTdcpsAIyJiOX58V7A8UM9l5nZ8GrtBK6RVGYc/6eAfwDuj4g9Scl/HhlsJ0nnkr4gdpA0X9KhpFE+G5K6b26UdFouu5Wkyoy1LYCr8iSxa4FfRsQlQ31hZmbDrovH8T8dEU9LQtI6EXFHThTUUERMq7H6u3XKLgCm5sf3ADvXKmdm1jaGlpa5rZQJ/PMlbQxcTGqpP0r9dKFmZr0hgpXP9o92LZpS5mbr78sPj5P0G2Ac4K4XM+tpERADndnHX2pUT0VE/Ha4KmJm1lmiq1M2mJlZtV5p8ZuZ2fMc+M3MekhEsLJbJ3B1kv5nV7L4oZo55czMWquDR/WUmcBlZmY1xMDKUksZkvaWdKekuyUdVWP7dEmP5MmvN+asCpVth0i6Ky+HDHaurmrxm5mNlIjWjeqR1Ad8B3gHMB+4TtLsGjdNPz8ijqzad1PgWGAyKbPx9Xnfuhkr3eI3M2vSyoGVpZYSdgPujoh7ImIFcB6wX8lqvBO4PCKW5GB/OYPcQMuB38ysGdHSrp6tgQcLz+fnddX+UdKfJf1E0oQh7vscB34zsyZEvrhbZgHGS5pXWGZUHa7eDa+Kfg5MzPc5/z/g7CHsuwr38ZuZNSNiKOP4F0fE5Abb5wMTCs+3oSonWkT8vfD0DODEwr5Tqva9slFl3OI3M2tSC7t6rgMmSXqxpLWBg4DZxQKStiw8fQ9we358KbCXpE3yTbP2yuvqcovfzKwZAStbNKonIvolHUkK2H3ArIi4VdLxwLyImA18UtJ7SLetXQJMz/sukfQl0pcHwPERsaTR+Rz4zcyaEAypq2fw40XMAeZUrTum8Pho4Og6+84CZpU9lwO/mVkzuvmeu51kxcrgwac6cwq1mXWYDk7Z0FWB38xs5LS2q2ckDduoHkmzJC2SdEth3XGSHirkmphaZ9+GOSvMzEZbREtn7o6o4RzOeRa1pw1/MyJ2ycuc6o2FnBX7AK8Apkl6xTDW08ysCSlXT5ml3QxbV09EzJU0sYldn8tZASCpkrOiOlmRmdno6eA7cI3GBK4jc66JWXmyQbUh550wMxtxATEQpZZ2M9KB/1Rge2AXYCHw9RplhpR3QtKMSv6LJ6Izh1aZWeeJCAaeHSi1tJsRHdUTEQ9XHks6A/hFjWKD5qyoOuZMYCbAhL512++r1cy61so2bM2XMaIt/qpcE+8DbqlRbNCcFWZmoy1am5Z5RA1bi1/SuaSMceMlzSfdIWaKpF1IXTf3AR/LZbcCzoyIqfVyVgxXPc3MmhLt2X9fxnCO6plWY/V365RdAEwtPF8tZ4WZWbvp1K6erpq5OxDB0ja8kGJm3SeCtrxwW0ZXBX4zsxHjrh4zs97TjukYynDgNzNrQuQJXJ3Igd/MrBkO/GZmvSY6tqvHN1s3M2tCGtWzstRSxmDp6CX9m6Tbcq6zKyRtV9g2UEh3P+iEV7f4zcyaEa27EUshHf07SGlrrpM0OyKKWYn/BEyOiCclHQ58FTgwb3sqInYpez63+M3MmtTC7JzPpaOPiBVAJR398+eK+E1EPJmfXk3KY9YUB34zsyakO3BFqaWEoaajPxT4VeH5ujlL8dWS3jvYydzVY2bWpCHcXWu8pHmF5zNzZuGK0unoJf0TMBl4S2H1thGxQNJLgF9Lujki/lqvMg78ZmbNiNKteYDFETG5wfZS6eglvR34D+AtEfHM81WJBfnnPZKuBF4D9EbgXxnweH9nDq8ys84SAStXtCxXz3Pp6IGHSOnoP1gsIOk1wOnA3hGxqLB+E+DJiHhG0nhgD9KF37q6KvCbmY2YaF12znrp6CUdD8yLiNnA14AXAD+WBPBARLwH2BE4XdJK0nXbE6pGA63Ggd/MrCmtTdJWKx19RBxTePz2Ovv9AXjVUM7lwG9m1oQIWBlO2WBm1lMGHPjNzHpHACtWOvCbmfWMADo0Oeew3mx9FrAvsCgidsrrzgd2yEU2Bh6rlV9C0n3AcmAA6B9k/KuZ2YiLcFdPLWcBJwPnVFZERCWhEJK+DixtsP+eEbF42GpnZraG3OKvEhFzJU2stU1pEOoBwFuH6/xmZsMpiI5t8Y9WkrY3AQ9HxF11tgdwmaTrJc0YwXqZmZVS6eMvs7Sb0bq4Ow04t8H2PXLCoc2ByyXdERFzaxXMXwwzAF5AX8deZTezzhLRuaN6RrzFL2kt4P3A+fXKFBIOLQIuIuWqrld2ZkRMjojJ69HX6uqamdXVqS3+0ejqeTtwR0TMr7VR0gaSNqw8BvYCbhnB+pmZDSp19USppd0MW+CXdC7wR2AHSfMlHZo3HURVN4+krSRVclRsAVwl6SbgWuCXEXHJcNXTzKwZ7uOvISKm1Vk/vca6BcDU/PgeYOfhqpeZWau0Y2u+DM/cNTNrQrRpa74MB34zsyYE8Kxb/GZmvaQ9L9yW4cBvZtYEJ2kzM+sxleGcnWi0UjaYmXW2kkM5y/5XIGlvSXdKulvSUTW2ryPp/Lz9mmIuNElH5/V3SnrnYOfqqhb/I6xYfHLcf3/V6vFAN2f59OvrbN38+tr5tW23pgdo5Y1YJPUB3wHeAcwHrpM0u+qm6YcCj0bESyUdBJwIHCjpFaT5Ua8EtgL+T9LLImKg3vm6KvBHxGbV6yTN6+Z8/n59na2bX183vzZoeVfPbsDdeR4Tks4D9gOKgX8/4Lj8+CfAyTnT8X7AeRHxDHCvpLvz8f5Y72RdFfjNzEbKI6y49JS4f3zJ4utKmld4PjMiZhaebw08WHg+H9i96hjPlYmIfklLgRfm9VdX7bt1o8o48JuZNSEi9m7h4VTrFCXLlNl3Fb1wcXfm4EU6ml9fZ+vm19fNr63V5gMTCs+3ARbUK5OzHI8DlpTcdxWKDh2OZGbWLXIg/wvwNuAh4DrggxFxa6HMEcCrIuKwfHH3/RFxgKRXAj8i9etvBVwBTOqZi7tmZp0o99kfCVwK9AGzIuJWSccD8yJiNvBd4Pv54u0S0kgecrkLSBeC+4EjGgV96PIWv6S9gZNIb+SZEXHCKFeppSTdBywHBoD+Th9BIWkWsC+wKCJ2yus2Jd20ZyJwH3BARDw6WnVsVp3XdhzwL8AjudgXImJO7SO0N0kTgHOAFwErSRcvT+qWz6/bdG0ff2Fc7D7AK4Bpebxrt9kzInbp9KCfnQVUXzA7CrgiIiaR/oVdbWJLhziL1V8bwDfz57dLpwb9rB/4TETsCLwOOCL/vXXL59dVujbwUxgXGxErgMq4WGtT+b7KS6pW7wecnR+fDbx3RCvVInVeW9eIiIURcUN+vBy4nTSksCs+v27TzYG/1rjYhmNbO1AAl0m6Pt90vhttERELIQUXYPNRrk+rHSnpz5JmSdpktCvTCjmVwGuAa+j+z68jdXPgH/LY1g60R0S8ltSddYSkN492hWxITgW2B3YBFgJfH93qrDlJLwB+Cnw6IpaNdn2stm4O/EMe29pp8i0riYhFwEWk7q1u87CkLQHyz0WjXJ+WiYiHI2IgIlYCZ9Dhn5+ksaSg/8OIuDCv7trPr5N1c+C/Dpgk6cWS1iYNfZo9ynVqGUkbSNqw8hjYC7hldGs1LGYDh+THhwA/G8W6tFQlIGbvo4M/v5wz5rvA7RHxjcKmrv38Olm3D+ecCnyL58fF/vcoV6llJL2E1MqHNB/jR53++iSdC0whZXV8GDgWuBi4ANgWeADYPyI67iJpndc2hdTNE6Shjh+r9Id3GklvBH4H3EwazgnwBVI/f8d/ft2mqwO/mZmtrpu7eszMrAYHfjOzHuPAb2bWYxz4zcx6jAO/mVmPceC3pkiaKGlI484lTZe01XDVqVm5Xifnx4dJOrjJ40yU9MHW1s6s9Rz4bSRNJ90oYtQoqft7HxGnRcQ5TR5+IuDAb23Pgd/WxFqSzs5Jxn4iaX0ASbtK+m1OHneppC0lfQCYDPxQ0o2S1pN0jKTrJN0iaWae/bkKSVtIukjSTXl5Q17/b3m/WyR9ulB+tfW5JX67pFOAG4AJkj4i6S+SfgvsUdj/OEmfzY+vlHSipGtz2TcVjvc7STfk5Q159xOAN+XX96+S+iR9Lb/GP0v6WN5/S0lzc7lbKsc1GzER4cXLkBdS6zZIieIAZgGfBcYCfwA2y+sPJM2aBrgSmFw4xqaFx98H3l3jPOeTEn5BmoE9DtiVNEN0A+AFwK2kbJD11k8kzSZ9XT7OlqRZpJsBawO/B07O244DPluo79fz46nA/+XH6wPr5seTSHdIgjQT9xeFus8A/jM/XgeYB7wY+AzwH4XXtOFof55eemvxrRdtTTwYEb/Pj38AfBK4BNgJuDw34PtImSdr2VPSv5MC6aakQP3zqjJvBQ4GiHQ7uaU5PcBFEfEEgKQLgTeRMrLWWj8buD8irs7H3B24MiIeyeXOB15Wp46VZGPXk75AIH25nSxpF9Ldz+rtuxfw6vzfDqQvrUmkPFKzclKziyPixjr7mw0LB35bE9X5PoIUfG+NiNc32lHSusAppP8AHsy3IVy35HlrpdxutB7giRp1LeOZ/HOA5/9e/pWUb2dnUnfp0w3q84mIuHS1DSmF9rtI91D9WjR/XcFsyNzHb2tiW0mVAD8NuAq4E9issl7SWEmvzGWWAxvmx5UgvzjncK+0iqtdARyej9UnaSNgLvBeSevnzKTvIyUIq7e+2jXAFEkvzK3u/Yf4uscBCyOlU/4w6b+a6tcH6cbZh+dzIOllOavqdqR7755Bymj52iGe32yNuMVva+J24BBJpwN3AadGxIrctfG/ksaRfse+RerGOQs4TdJTwOtJOehvJmWmvK7OOT4FzJR0KKnVfXhE/FHSWcC1ucyZEfEngFrrle4I9ZyIWJj/w/gjqRvqBp4P3mWcAvxU0v7Ab3j+v4k/A/2Sbsqv9SRS99AN+cL1I6RbD04BPifpWeBxcleW2Uhxdk4zsx7jrh4zsx7jwG9m1mMc+M3MeowDv5lZj3HgNzPrMQ78ZmY9xoHfzKzHOPCbmfWY/w8KbetdLeITkwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## plot likelihoods\n", "\n", "# could just plot this but would include all cases in which \n", "# alpha = 0 and beta = 0, which don't make sense\n", "Likopt = Likopt.reshape((20, 25))\n", "\n", "# here we delete nonsensical cases\n", "Likoptnonzero = []\n", "for i in range(1, 20):\n", " for j in range(1, 25):\n", " Likoptnonzero = np.append(Likoptnonzero, Likopt[i ,j])\n", "\n", "Likoptnonzero = Likoptnonzero.reshape(19, 24)\n", "im = imshow(Likoptnonzero, cmap=cm.RdBu)\n", "colorbar(im)\n", "plt.ylabel(\"alpha coordinates\")\n", "plt.xlabel(\"beta coordinates\")\n", "plt.title(\"Likelihood Landscape for alpha and beta\")\n", "show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot is a 2-dimensional heatmap that indicates the probability of the data given the model, with cooler colours meaning higher likelihood \n", "- Along the x-axis, we are varying β whilst keeping α constant\n", "- Along the y-axis, we are varying α whilst keeping β constant\n", "- If we had had 3 parameters in our model, this would become a 3D plot (and much harder to visualise!)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "coords on grid: [5.0, 1.0]\n", "[alpha, beta] = [0.25 0.6 ]\n" ] } ], "source": [ "# find maxima\n", "mleopt = np.zeros(2)\n", "for a in list(range(0, len(parama))): \n", " for b in list(range(0, len(paramb))):\n", " if Likopt[a, b] == np.amax(Likopt):\n", " mleopt[0] = a*0.05\n", " mleopt[1] = b*0.6 \n", "\n", "print(f\"coords on grid: {[mleopt[0]/0.05, mleopt[1]/0.6]}\") \n", "print(f\"[alpha, beta] = {mleopt}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let $(i, j)$ be integral coordinates on the grid. Then the likelihood of $(i, j)$ is the likelihood of the $i$-th value of alpha and the $j$-th value of beta. \n", "\n", "**Why does the MLE change everytime?**\n", "\n", "Because everytime the model runs, the first choice generated only has a 0.5 probability of being the same as the one before. Then the stimulus for the first trial might change, and so would the choice probability, and so on and so forth. Since loglik is the sum of all logs of choice probabilities, it would also be different from before.\n", "\n", "- The likelihood values for different values of α and β do not vary independently. Rather, there seems to be a positive correlation between them. Such a correlation signals that your parameters are to some degree non-identifiable, and that parameter values trade off against each other. \n", "- Looking for structure in your likelihood 'landscapes' of simulated and refitted data is a good way to check whether you have a nicely behaved model with sufficiently independent/identifiable parameters. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Fitting\n", "\n", "We now fit the model to the data. The rough algorithm is as follows: \n", "1. start with initial stimulus value for each machine \n", "2. compute choice probability for each machine \n", "3. get player choice and corresponding outcome from dataset \n", "4. use above to update stimulus value $v$ of chosen machine \n", "5. stimulus value of other machine is $1 - v$ \n", "6. repeat" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "def Fit(alpha, beta, trials, choices, rewards):\n", " \n", " # initialize values (all zeros)\n", " v = np.zeros((len(trials), 2))\n", " v[0, :] = [0, 0]\n", " \n", " # init choice probabilities\n", " cp = np.zeros((len(trials), 2)) \n", " cp[0, :] = 0.5*np.ones((1, 2)) # start with .5 chance at first trial\n", " \n", " # init loglik, we want to minimize this\n", " loglik = 0\n", " \n", " # set c, r to choices, rewards for the subject\n", " c = choices\n", " r = rewards\n", " \n", " # loop along trials\n", " for t in range(0, 134):\n", " \n", " # softmax rule\n", " cp[t, 0] = np.exp(beta*v[t, 0])/(np.exp(beta*v[t, 0]) + np.exp(beta*v[t, 1]))\n", " cp[t, 1] = 1 - cp[t, 0]\n", " \n", " # choice\n", " s = c[t]\n", " \n", " # update value of stimulus\n", " v[t+1, s] = v[t, s] + alpha*(r[t, s] - v[t, s]) \n", " v[t+1, 1-s] = 1 - v[t, s]\n", " \n", " # compute loglikelihood\n", " if c[t] == 0:\n", " loglik = loglik + np.log(cp[t, 0])\n", " else:\n", " loglik = loglik + np.log(cp[t, 1])\n", " \n", " return loglik, v, cp\n", "\n", "# convert loglikelihood \n", "def Likelihood(alpha, beta, trials, choices, rewards):\n", " \n", " [loglik, v, cp] = Fit(alpha, beta, trials, choices, rewards)\n", " lik = np.exp(loglik)\n", " \n", " return lik" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "running subject: 0\n", "running subject: 1\n", "running subject: 2\n", "running subject: 3\n", "running subject: 4\n", "running subject: 5\n" ] } ], "source": [ "# Run MLE to estimate alpha and beta\n", "alpha = np.arange(0, 1, 0.05)\n", "beta = np.arange(0, 15, 0.6)\n", "\n", "Lik = {}\n", "\n", "for index, subj in enumerate(data):\n", " print(f\"running subject: {index}\")\n", " Lik[index] = []\n", " \n", " for alpha in parama:\n", " for beta in paramb:\n", " Lik[index] = np.append(Lik[index], Likelihood(alpha, beta, trials, choices[index], rewards[index]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we plot the likelihood landscape and find the maximum likelihood estimators of alpha and beta for this particular dataset." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## plot likelihoods for each subject\n", "\n", "fig, axs = plt.subplots(2, 3, figsize=(15, 8))\n", "fig.subplots_adjust(hspace=0.5)\n", "\n", "for ax, (index, feature) in zip(axs.flatten(), enumerate(datapath)):\n", " \n", " likelihood = Lik[index].reshape((20,25)) \n", " Liknonzero = []\n", " \n", " mle = np.zeros(2)\n", " coords = np.zeros(2)\n", " for i in range(1, 20):\n", " for j in range(1, 25):\n", " \n", " # get rid of wackadoodle cases (e.g., alpha=0, beta=0)\n", " Liknonzero = np.append(Liknonzero, likelihood[i ,j])\n", " \n", " # if the coords of a likelihood is (i, j),\n", " # then the likelihood is that of the ith value of alpha \n", " # and the jth value of beta\n", " if likelihood[i, j] == np.amax(likelihood):\n", " mle[0] = i*0.05\n", " mle[1] = j*0.6\n", " coords[0] = i\n", " coords[1] = j\n", " \n", " Liknonzero = Liknonzero.reshape(19, 24)\n", " ax.imshow(likelihood, cmap=cm.RdBu)\n", " ax.set(title=f\"{os.path.basename(feature)[-13:]}; alpha, beta = {mle}\")\n", " \n", "# below the alpha value will correspond to the ith value of alpha and the jth value of beta" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's take one person and look at how well our model performs:\n", "alpha_s100 = 0.1\n", "beta_s100 = 3.0\n", "\n", "[loglik_100, v_100, cp_100] = Fit(alpha_s100, beta_s100, trials, choices[5], rewards[5])\n", "\n", "# plot \n", "plt.plot(trials, choices[5], '+', label=\"actual choices\")\n", "plt.plot(trials, cp_100[:, 0], 'r--', label=\"fitted probability of choice\")\n", "plt.plot(trials, prob_blue[0], '-', label=\"actual probability\")\n", "plt.ylabel(\"Probability of Choice\")\n", "plt.xlabel(\"Trial\")\n", "plt.title(f\"s100 choices over trials + model fit, alpha={alpha_s100}, beta={beta_s100}\")\n", "plt.legend(bbox_to_anchor=(1, .4), loc='lower left', ncol=1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# we can also plot prediction errors over trials:\n", "PE = rewards[5][:, 0] - v_100[:, 0]\n", "plt.plot(trials, PE, 'r-', label=\"prediction error\")\n", "plt.ylabel(\"Prediction error\")\n", "plt.xlabel(\"Trial\")\n", "plt.title(f\"s100 prediction error over trials\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Okay cool, but what about the brain?\n", "Adapted from [DartBrains](https://dartbrains.org/) with additions, including parametric modulation by prediction error" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\ProgramData\\Anaconda3\\lib\\site-packages\\sklearn\\externals\\joblib\\__init__.py:15: DeprecationWarning: sklearn.externals.joblib is deprecated in 0.21 and will be removed in 0.23. Please import this functionality directly from joblib, which can be installed with: pip install joblib. If this warning is raised when loading pickled models, you may need to re-serialize those models with scikit-learn 0.21+.\n", " warnings.warn(msg, category=DeprecationWarning)\n" ] } ], "source": [ "from nltools.external import glover_hrf" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Haemodynamic response function (HRF)')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tr = 2\n", "hrf = glover_hrf(tr, oversampling=1)\n", "plt.plot(hrf, linewidth=3)\n", "plt.ylabel('Intensity', fontsize=18)\n", "plt.xlabel('Time', fontsize=18)\n", "plt.title('Haemodynamic response function (HRF)', fontsize=18)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def plot_timeseries(data, linewidth=3, labels=None):\n", " plt.figure(figsize=(20,5))\n", " plt.plot(data, linewidth=linewidth)\n", " plt.ylabel('Intensity', fontsize=18)\n", " plt.xlabel('Time', fontsize=18)\n", " plt.tight_layout()\n", " if labels is not None:\n", " plt.legend(labels, fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's simulate data for one large region-of-interest (ROI; e.g., average timeseries of all voxels in ventral striatum)!" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_tr = 675\n", "n_trial = 135\n", "\n", "np.random.seed(2019)\n", "\n", "choices = np.random.randint(10, n_tr, n_trial)\n", "choice_trials = np.zeros(n_tr)\n", "choice_trials[choices] = .60\n", "choice_trials = choice_trials*np.random.rand() # add some more noise here, b/c we don't expect a main effect of choice in our ROI\n", "\n", "PE_trials = np.zeros(n_tr)\n", "PE_trials[choices+3] = 1*PE/np.max(PE)\n", "\n", "roi_conv = np.vstack([np.convolve(choice_trials, hrf, mode='same'),\n", " np.convolve(PE_trials, hrf, mode='same')]).T\n", "\n", "plot_timeseries(roi_conv, labels=['choice','prediction error'])" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# add noise\n", "epsilon = 0.15*np.random.randn(n_tr, 2)\n", "roi_conv_noise = roi_conv + epsilon\n", "\n", "Y = roi_conv_noise.sum(axis=1)\n", "\n", "plot_timeseries(Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can write our model out so that it is very clear what we are doing.\n", "$$Y=β0+β1⋅Choice+β2⋅Feedback+β3⋅pmod(PE)+ϵ$$\n", "\n", "Here, we model the effect of choice and feedback (average against implicit baseline) and we add a parametric modulator of prediction error at each trial..." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "intercept = np.ones(n_tr) # constant in OLS regression\n", "\n", "choice_trials_est = np.zeros(n_tr)\n", "choice_trials_est[choices] = 1 # avg effect of choice in OLS regression\n", "\n", "prederr_trials_est = np.zeros(n_tr)\n", "prederr_trials_est[choices] = 1 # avg effect of feedback in OLS regression\n", "\n", "X = np.vstack([intercept, \n", " np.convolve(choice_trials_est, hrf, mode='same'),\n", " np.convolve(prederr_trials_est, hrf, mode='same'),\n", " np.convolve(PE_trials, hrf, mode='same')]).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also make a plot and rotate the timeseries, to better reflect the equation." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "f, a = plt.subplots(ncols=5, figsize=(6, 10), sharey=True)\n", "a[0].plot(np.expand_dims(Y, axis=1), range(len(Y)))\n", "a[1].plot(X[:,0], range(len(Y)))\n", "a[2].plot(X[:,1], range(len(Y)))\n", "a[3].plot(X[:,2], range(len(Y)))\n", "a[4].plot(X[:,3], range(len(Y)))\n", "a[0].set_ylabel('Time', fontsize=18)\n", "a[0].set_title('Y', fontsize=20, rotation=290, verticalalignment='bottom', horizontalalignment='center')\n", "a[1].set_title('Intercept', fontsize=20, rotation=290, verticalalignment='bottom')\n", "a[2].set_title('Choice', fontsize=20, rotation=290, verticalalignment='bottom')\n", "a[3].set_title('Feedback', fontsize=20, rotation=290, verticalalignment='bottom')\n", "a[4].set_title('Pred Error\\n(modulated)', fontsize=20, rotation=290, verticalalignment='bottom')\n", "plt.gca().invert_yaxis()\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use an Ordinary Least Squares (OLS) regression to find the $\\hat{β}$ hyperplane that minimizes the error between the observed $Y$ and predicted $\\hat{Y}$\n", "\n", "GLM in linear algebra notation: $\\hat{β}=(X^{T}X)^{−1}X^{T}Y$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "beta = np.dot(np.dot(np.linalg.pinv(np.dot(X.T, X)), X.T), Y)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1, 'Residual')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "predicted_y = np.dot(X, beta)\n", "\n", "predicted_ts = np.vstack([Y, predicted_y]).T\n", "\n", "plot_timeseries(predicted_ts, labels=['Simulated ROI Timeseries', 'Predicted ROI Timeseries'])\n", "plt.title('Predicted vs Simulated', fontsize=20)\n", "\n", "residual = Y - predicted_y\n", "plot_timeseries(residual)\n", "plt.title('Residual', fontsize=20)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta PE: 0.94\n" ] }, { "data": { "image/png": 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XSet3K3YtMNb264FfAccMbpQREVFnjWIzYKbtO20/D5wJjG8sYPsS209Xh1cCawxyjBERHa/ORLE6cG/D8azq3PzsQ9kwKSIiBlFvlvAYKOrhXI9LgEj6KDCWsj9GT9cnABMARo8e3V/xRUQE9dYoZgFrNhyvAdzfvZCkrYDDge1tP9fTA9mebHus7bGjRo0akGAjIjpVnYliGrCOpLUkLQ7sDExpLCBpE+BnlCTxUA0xRkR0vNoShe25wP7AhcCtwNm2b5Z0lKTtq2LfApYFzpF0naQp83m4iIgYIHX2UWB7KjC127kjGu5vNehBRUTE/5GZ2RER0VQSRURENJVEERERTSVRREREU0kUERHRVBJFREQ0lUQRERFNJVFERERTSRQREdFUEkVERDSVRBEREU0lUURERFNJFBER0VQSRbSFcePGMW7cuLrDGNbyGsb8JFFERERTSRQREdFUrRsXRXsZM/H82p77wTsfqT2Guye9t0/fX2fs0B6vYQyM1CgiIqKpJIqIiGgqTU/RFlbZdVLdIQx7eQ1jflKjiIiIppIoIiKiqSSKiIhoKokiIiKaSqKIiIimkigiIqKpJIqIiGgqiSIiIppKooiIiKaSKCIioqkkioiIaKrWRCFpG0kzJM2UNLGH60tIOqu6/g9JYwY/ysGR3cUiYqiqLVFIGgEcB2wLrA/sImn9bsX2AR6z/f+A7wHfHNwoIyKiztVjNwNm2r4TQNKZwHjgloYy44Ejq/u/An4kSbY9EAFl451sGhMRL6cBes9d8BNLOwDb2N63Ov4Y8Gbb+zeUuakqM6s6vqMq83C3x5oATAAYPXr0pvfcc88g/RT9p6vZ6dJLL601jojoTJKutj22p2t11ijUw7nuWas3ZbA9GZgMMHbs2HoyXx8lQUTEUFVnZ/YsYM2G4zWA++dXRtKiwPLAo4MSXUREAPUmimnAOpLWkrQ4sDMwpVuZKcAe1f0dgD8PVP9ERET0rLamJ9tzJe0PXAiMAE60fbOko4DptqcAJwCnSJpJqUnsXFe8ERGdqtY9s21PBaZ2O3dEw/1ngY8MdlwREfGSzMyOiIimkigiIqKpJIqIiGgqiSIiIppKooiIiKZqW8JjoEiaDQy/NTyKlYCHF1gq5ievX9/lNeyb4fz6vdr2qJ4utF2iGM4kTZ/fWiuxYHn9+i6vYd+06+uXpqeIiGgqiSIiIppKohhaJtcdwDCX16/v8hr2TVu+fumjiIiIplKjiIiIppIoIiKiqSSKiIg2IKmnHUH7RRLFMCQpv7cYMgbyDSp6R9JyjZu69ffvJG84w4ykpW2/WN1vu4k9Ay1van3X9UFF0vKSFsmuk/VRsQbwO0lHSPqupMX7+3eSUU/DSPUPugewLGVXwG2AbfOP2jNJI2zPkzSasrTCHbafqDuudiBpOeAHwBdt31d3PJ1K0pK2n5U0hvLB/3BgQ2AicFnXh8q+So1iGKl+6acDnwaOAva37WrP8WhQfdKdJ+n/AecDHwPukLRFzaENW5L2lDSuOnwSWBqYU10bkSbRwSVpCeB4SdsDs2zfaXsf4BfAkcCH+uu58osdJiQtIkm2nwN+CPyJ8keyru3nqzIjaw1yCLH9oqQRwLeAzwI/BR4Bbqs1sOFtOeBUSXtVtdjlgGUAbM/rr0+v0TvVe8FfgU8CO0haujr/U+CbwPck7dgfz5Wmp2Gg+nT8YvWHsA4wz/ZNkg4F9gE+CmwFrGt7rzpjrVuVTF3dXwQ4FLgF+ApwoO2/SNoPuMv2H2sMddjo9pq+FTiRMgP5jcC9wNPAKylNokfZvrumUDuGpMVsv1D9jf8GGAf8BPiO7dlVmbcCuwJH2O7TiraL9jHeGGBdSaI6/BWluv+QpGeAg4G7gG8Az1M+WXSsbm9o69qeIWklSlv6IVWSWBH4FPCZOmMdZgRY0ubADcC7Kc0bW1DaxB8DZgKPJUkMjipJjAAu4qXE/Vngy5ImAfcB1wMfBkbTx6XPU6MYJiQdBCxv+0hJ6wLbAhvZ3kfSq4DnbD/R1YFbb7T1kvRp4P223y1pdeBkYAalPX0L4GzbP6wzxuGioTY7DjgGmGD7OkmLUl7XZYE9bT9aZ5ydSNKbgG8D46q+yuWACykDXfa1fYOk11Pe56/vy3Olj2IYkLQx8DVK9R7gduA8YHlJr7P9UNdoniQJvR3Yr7pRjch5H3At5RPWd5Mkeq9KEiOBI4CJVZJY3PZc27tSPqnm9azH9ZRN2t4taVnb/6G0MixKSRbYvqGvSQLS9DRkNTajVP+cewLflXS37e9QRvCMBl5Lh3fQSlqpoQ12OeBc23dJWgyw7WckndjpSbQPFgOeAh6qjucCSFrf9t7V6xwDrOs9QdLrKB8arwamAXsBoyTdD+wPTLJ9bX8+d2oUQ1DVfGRJ60qaIGlryuiG8cDHJP1D0tHAJban1BttvSTtRHldujwM7CppnO0XbM+VdAjwvXoiHH66D3OtmpXuAraoPrm+KGkT4FuSRtl+oZZAO0jXxMbqveB0YE9KjeK3wB8oAwsmADNsn93vz58+iqGl4VPDysCfgRMozSgn2f5GVYv4MeUTxda2n5K0qO25NYZdO0mHA9fZPl/SvsCbgfuBmykdrtvbHq57qQ+abgMCtgJeAO6m1NSOAf5JqVG8C/i67XNqCrXjSHolZUDL3sBGwBdsbz6fsv/9PfaH1CiGmIZf7v7A0ZTx/y8CZ1bnH6MMefsHcHXVWdtxTSrV0gWNy3HMBQ6W9BHgL5RPXRtQ/qH2T5JoTTWE+Ejgf4DfAyOBXYArgDsob1JJEoOkquXNofRNvo3SZ/SR6toXqxFp/5UlPNpU908AknanVCffBhxm+4+S3ledO7oqtsNAVDOHk2rpgtm250j6H0qn/2+Bn9l+ts7YhitJb6TUZN8BfImyJMQ6wLds/6zO2DpJNZpxlWr00r7AlcCBlDlTH7Z9taRNgZOA8bbvHKhYUqMYIhqr+5KWoVTx3wD8qUoSi1M+4c2w/WJ168gk0VWTkPQByj/JKZJOptQq9qD8Ix0rafnaghze5lDawDcH3mJ7W0rN9keSDq4zsE5R1SBWB3aSdBnwbts3UYbDPgjsLulY4HjKaLQ7u/ct9ackiiGg4Y1vD8ofwmKUEQ3nAktJuoJS/Z9i+6zaAh0iqj6c0ZTX6gDgy8AU4AvAUpTZ6jc7CwD2Sg+d1zOqIZVrUmpnAI9SJnQdN8jhdaRqku1tlL7IjYHbJC1l+zbKYqA3UOZMHFL1y2kgl1BJ09MQIWktyj/lLrZvaTi/DmU29ou2b6zO9WtH1XBUvV7ftL1jdbwipdP6n7bbcoP7gSBppO0nq/snUPrDlge6BgQcRumX+CjwNtv/qivWTtG4GoOk1YA3VbdlgB/bvl3S1rYvGqyYUqOoUTUFn6pZaQ4wrStJqKwMCbCY7es7PUlUM4Eb/RsYI+lbALYfA2YBG3e9rtGcpNcAJ0haX9IBvDSy6TnKkMvrKP1hNwO7JkkMvGpo/IuSXqOyKuwWtn8HnEZ5jzhU0oXADoMZVxJFTfTSMtiidMCOBt4k6etQVoasOrR/0DihqROTBEDX8F9Ju1ed+osCuwPLSrq0eq0+DfwyE+sWrJpdfSdljabvApsCx9q+3fbHgMuAc4C/2D7d9t9qDLcj6KX9U5YFzgDWBj4j6XTgAeA7lFWjb6f8rQ/aRlxpeqpZNWFsE9sTq6GuvwL+A1wK7Azsbvv6Dq5JrEpZX+grkg6kDA2eA1xD+ae5mtIs8iww0/aFtQU7jEg6DLjb9hnV3+DngIsps3ofq8r8lvL3958aQ+04kn4JXEWp1Z1D6atYB9i7q2WhKte4YOiAyhIeNZL0ccoGRF+Fsi5RNcTzUMpY9U9USWLQ/iCGkqr57a3AOEmvBkba3kzSksAhlE69JSjtts/UGOqwUn1inQNsXvVRTJZ0L6Vme4CkmyjzT5ZIkhh4Kot8TgQ+b/shytDkaZQ5E5Nsny1pGvAHlXXfHuka+ThYMabpqUa2j6dMpPuEpLWrc7Z9jO1f276iOtdxSaJyMrAJ5R9nFvA2SZtX8yO+TlkRdjdKp2v0QjWL/ynK0tTLAftJ+gJlz459gPUpH1weBd5fW6CdxZQdA38gaQPbf6Es6ncPcIWkpShNgTvYnl3H+0GangaRXlqyeVNgLeBJ2xdKmkgZ/7+/7T/VG+XQIOlESkf+x6rjlSi1iA2B42xfUJ0f1NEf7ULSH4BLKK0Ko4HZlI1vHqck4aNdbYATA6+aXLcvZSb8j21PlXQSZWDBpsBFtg+rLb4kisHR1cdQDXc9jdL2+EHgDNvHStqF8sl5B9tT64y1bpI2o8wCfke386+k7MOxC3Cey5aP0aKq+eI7tresjjejTOZ8mrIM+99rDK/jVHOCHrP9pKR9KJsNnUhpeno7sELdy6Wk6WmQNHREf4EycelyYEng7GoEyhmUJpQ/1xTiUPIwZfYp8NKEMNuPUDr5bgW2lrRKPeENe3cDIyTtW420uYryxrQk5RNsDK5PADep7C1zAqVmtxtwuO2LupLEYI1w6kkSxeC7A9iMsuz1p2z/G9hO0r62b7T9bOYB8DiwtsoeHF2b5yxdXRtJeUM70PaD8/n+aNCVaKux+a+j/N9PBl5NGX45irJU+wW2r64v0s7Q/f/b9hco2/WeL+l9ts+jDIV9VeMyNHWOekzT0wCqmkpeY3uapK9RNkFfgdLE9GvbB6ssancB8GnbF9cW7BAj6cOUZqZLbJ/WcP5iSrPTD2oLbhhp6Bd7E2W+xD2URHEK8ApgHCVh3G17Qm2Bdgg1bAmgsrfENVVNGUnjKb+jb9v+iaQlqvlUtY96TKIYQFXTyCmU9YdesP3Oaobx7sAHKB2Jy1H6KY7r1LkSPakmGe5OGR67AqVJbktKW+5edcY23FSjZqZQlq4fCxxke2zDG9ErnD2vB1zVYb0LZX7Eg8BFlLkrxwEP2X5B0g8oCzKOcz/vUtcXSRQDTGUP59OBG2xvV51bgrIp/XqUkU/XV+eTKBpUbbJrUzr9FwPut31SrUENQ9VEzgMp+3R8Efi4y9LVO1I2e/pnrQF2CEnvAnYC/kVpVZhHaYJ+Gvg+ZcXobwLn2x5SfZVJFAOgYSp+1ybnK1M2GtkQ2M32HZL2ouzt/ET1PUkS0S96+luS9CXKPIkv2T5F0obAr4GP2L6hjjg7kaQPAR+iLIl/DGXW9TeA11DeJ+6zvUt9EfYsiaKfNbQJLwtMonRen2v7nuqfdRfK0hPvAt7gDt/CNAaOpG0pbz5XU/ohdqSsGTSXMqv9+7ZPqS/CzlI1Pf2KUrN7K2Wp8PNsX1QNm1/G9nVV2SH1wTGJoh911SSq+6cBT1GamP5DGVEyRdI44LWUP5AHGr8nor+oLJK4H2XPgv0oAwOWAMYAa1DWxTqvtgA7UPVBcUnbh1fNgbsCW1MWAPyN7cerckMqSUDWeupXDUniQEoS3q86/gzwPkkrA7+yfWl1fpEkiehv1SfXHYDtKIMmrqn6JBa1Pa3e6DraQ8AOkka5rOv2beC9lAEGv+8qNNSSBGQeRb+QtIqkXzScWhXYVmU5bGz/kFLd3BJYratQ3UPeon1ImlQNgcVlYbkrgK8AH6e0iQMcUw3BjAHWODlO0nLV3d9RJozuIGm9KiHMoSyNP6SXS0mNoh/YflDSk5IuB7a2/XlJ91MWXBtl+xe2T5X0D9u31x1vtBeVTYfG2Z7YcHoeZe/wT1fDLt9PWQ7i6Dpi7FSSPgpsU02cOwd4AlgROFPSE8DF1cz4IS19FP2oGm74LcpG6DOqEQ4fBW63/fmGckOuDTKGp2qNsEOBTau1xPYA7gJuovwtQqnhrgB8xvb0eiLtHA3rum1M2fd+PPAOypypp4FTKX2XI92wv8RQlhpFP3JZN/424G+S9rB9rqTHKZ/sGsslSUR/eRLYoHpj2ogyX2JX249KmgC8nrIP9hzbM+sMtBNIWqGrU5oyaOVPVTK4sZpT9W3gKg+zhRdToxgA1dIdVwAn2z66Ychs7VPxo/1UCeJyyi5/W9u+UdJSzmZOg0rSIcBhlGbAGyWtR1lTa5Lt86sy3wOutn1qjaG2LJ3ZA6Bau2VDYCtJa3UlhySJGF76cqYAAAwESURBVAjVJ9a1KInif6pzz1QTPmMQVAsvLkLpfzhV0gds3wqcBbxd0jerfqIPUTq0h5XUKAZB+iRiMEhanLKO0F2296k7nk4k6RvAmpSEfSxl+fYtgO0pEx27JtgNq9aFJIqINlINy/w5paN0x7rjaXfVaKZ5wFyXLQK2osyC/zOlNnEFZRHGF1X2nXm+xnAXWhJFRBuStHzXOmIxcCRdSZnpfgpl3aZzKNsJnEZJFOcCrwLeSRlQMCzfcNNHEdGGkiQGnsoGRBdR1nN7hrI8+EGUHRgPBBa1/V7gVNtPDdckAalRRES0rFqz7Z+UfSUOBkYDlwCLU2Zbb0/ZgOifDd8zrPolGiVRRES0QNKSwOHAvbYnV+f2Ad5CGdF0RrvV6NL0FBHRAtvPUjYj21HSe6tzJ1D6J94MHFDNbfk/az4NZ0kUEREtqJqQbgV+CWwu6Y0Ati8AfkjZuXKZ6lxbNNmk6SkiYiFIWovSaf0UZXXoy20/3Y4jzpIoIiIWoGEZnkUbd6WUtBplKfeRwCuA44Frq+aptpFEERHRRMNqsMtStjI+y/Z/Gs4vBqwNbA58EDgBuMT2kzWG3a+SKCIi5qNx+R1JhwEv2P52T9er4xWApxprHe0gndkREfPRkCQmUWZXX1Ydj2i83lD+8XZLEpBEERHRGxdSNoDaC8D2vHYZ+tobaXqKiOimofN6bcqifw8Di1H2vb4H2Ge4LvC3MLJefUREg6rf4UVJm1LmRTxK2cL0z5QtTU8DpkkaZ/uxGkMdNEkUERENqpFMiwPHAV8D/koZ1fQZ4Anbu0r6XKckCUgfRUQE8N9d6rqW3VgK+Bdlf+vHgJspHdlvAbB9TOP3tLuO+CEjIprptrLrJMrWsg8DJ0kaU+0/fjOwjqQVu75vuK4G26okiojoeF1v+JK2BZa2fR1leY7Lgd9XcyiOB07ppCanLhn1FBEdrWGG9TrADMpGQ7tXzUqLUeZPrAHcb3tqnbHWJYkiIjqWpBHVnIjNKSu+LgOcARxl+5v1Rjd0pOkpIjpWlSRWAPYFVrA9BRgL/K+kn9cb3dCRGkVEdBxJGwL/qhb3+xnwVuCNtp+rri8BXAvMsP3BGkMdElKjiIiOImkn4PtA15pMPwYEnNJVxvZzttcHDhj8CIeeJIqI6BiSNgYOovRBPF0Nfb2eMuP6BUkXSFql4Vvu7aQ1neYniSIiOoKk5YDzgR/b/ouk9YALJK1rezawN3AdcKWkVbtGQ7XLdqZ9kSU8IqJTrAJcA2xYbWP6HeBY2zOgNDdJOhr4ve0HaoxzyEmNIiI6xe3AwcDzwBXAY7Z/3HVR0gHAlrb/Vh13fJNTlySKiGhbXW/21RIdtn078CPge8Cykrarru8K7An8qet70+T0kgyPjYi2JemVth+p7o+wPa+6/wpgO2A8ZU2nTYHdbd/Wbd2nIDWKiGhTklYGTq1qC12T67q2MH0U+A3wC2Bz4GtJEvOXGkVEtKVqxvV7gJ2BC23/tDrfWLNYDFjR9kNdo5zqi3joSo0iItpOVTN4HJgFPAjsJ+mrkharahaLANh+wfZD1f0kiflIooiItlNtZboOcCJwMXAysBLwU0mj0rzUmiSKiGhX6wNTbf8a+AllqY7RlH6L9WqNbJhJooiIttDDtqSPADtJerPtZ23fCFwF3AJ03OZDfZHO7IgY9ho7oiW9DXiIMuz1PcBuwK8ou9WdCuxt+5aMcOq9LOEREcNeQ5I4iJIcbgLWAw4BngSOBLaibGV6S/U9SRK9lBpFRLQFSZtQFvzbQtIZlK1LP9uwFMciXcNiozXpo4iIYatrAl3VP/EsZTXYvYFlbX+2KvZpYPUkiYWXRBERw1LVxzBP0vLANymd1+8Cjgb2qMocAuwA3FdboG0gfRQRMaw07BPR1cfwv8Dj1ezqr1BmYp8m6W/ATsC2tp2Z1wsvfRQRMaxIWsr2M9X99wO/Bt5v+0JJywIrUhb7uw/4p+2bM8Kpb5IoImLYqGZbf4uSBO4FzqTsaz0e2Mn2tB6+JzWJPkofRUQMC5KWAiYDl1G2LF2d0qx0EGV/iZ9L2qn79yVJ9F36KCJiuJgKPG/7ewCSPknZRwLbx0q6A5gs6Tnbv60xzraTGkVEDBfHAm+S1DXs9XFguYY9JqYC70yS6H/po4iIYUPSBsCFwG3ASOADth/o3lmdfon+lRpFRAwbtm8G1gUELGf7gerSIt3KJUn0oySKiBhWbM+xvSVwvaS7Jb3G9ty642pnSRQRMSzZ3hk4F/hg3bG0u/RRREREU6lRREREU0kUERHRVBJFREQ0lUQRERFNJVFERERTSRQxrEkaJ8ndbk9JukbSQZKynllEH+WfKNrFGZRF4wSsAuwOfBdYD5hQY1wRw17mUcSwJmkccAlwqO1vN5xfhrIe0OrAyrZn1xDbCGAJ208P9nP3F0kjbT9ZdxxRrzQ9RVuyPQe4klLDWLvxmqSxkn4j6WFJz0maIenwnpqpJH1Y0vWSnpX0L0lflrRV1cS1Z0O5PatzW0n6UrXk9bPAjq0+r6QNJJ0j6b6q3IOSLpH03oYyS0o6snqMpyU9LulGSd/q4WfYt2qKe0bSE5L+KOmtPZSzpJMkbSnpr5KeAs5r4WWPNpWmp2hnXQni0a4TkrYDfgPMBL5TXdsCOArYGPhIQ9mdKE1adwBfAeYCewDvb/Kc3wYWA44H/gPMaOV5Jb0S+HP1WD8F7gFWAsYCbwbOr64dB+wNnEzZtGcEsA7wrsZgJH0T+BxwFfAFyoqrE4BLJI2vluZuNBb4cBX/L5v8nNFJbOeW27C9AeMAA0dQ3lBHARtR3kgNXNVQdkngQeAvwKLdHuegqvy46nhRynab/wZWbCi3LHBnVXbPhvN7VudmAEt3e+xWnnf76njHBfzcjwJTF1BmXeBF4K/A4g3nV6Ps5XA3MKLhvKvbVnX/XnMbWrc0PUW7+AowG3gIuAH4X8qCcds3lNkaWBn4BbCCpJW6bpSOcIB3V183pbyhnmT7sa4HsP0U5ZP+/PzEL++TaOV5n6i+bitpuSbP8wSwgaQNm5QZT2l6O8b28w0/w/3AScCrgU26fc/1ti9u8pjRgdL0FO1iMnAOpdlnI+DzwBqUfoIu61VfT2zyOCtXX9eqvs7ooUxP57r8s4dzvX5e25dJOplSQ9lN0jTgYuAs27c0lD8QOAW4UdKdlA7984Dz/NIGPl0/w809PN9N1dfXANMXEH90uCSKaBe3N3wSvkDSXylNLj8Fdq7Oq/p6KHDdfB7n/m5lW9XTCKdWnhfbe1Sd0tsBbwU+Cxwu6UDbP6rK/E7SmKrMO4CtgH2AyyVtVdUgFuZnGLYjtGLgJFFEW7L9d0mnALtL+qHtvwO3V5fn9KJ55a7q67o9XOvpXDOtPC8Atm+ifOo/RtIKwD+ASZKOs+2qzKPAqcCpkgRMonRcj6fUru6oHm6Dhvtd1q++3tnizxIdKH0U0c6+CsyjjCyCstfyQ8BESa/oXljSUpJGVofTgQeAPSWt2FBmWeATLcbR6+eV9ApJ3bf1fJySuJYGlpQ0okoejWUMXFsddj3HFErn9KGSFmt4vlWBvSgjqq4lYgFSo4i2ZXumpDMpbf1vs325pN2B3wIzJJ1IGa66AvA64EOU3dIutT1X0iHAacBVkk6gDI/dE3iE0v7fq9mqtuf09nkpM8oPktQ1lPYFStPSe4CzbT9TJYkHJE2hvNE/VMXzSeAxqrkPtmdUTVifA/4i6SxeGh67LLCb7Xmtvq7ReZIoot19DdiFUqt4p+0LJb0JmAh8lDKc9jFK08x3KSOmALB9uqS5wBcpo6r+DZxQlTkXeKa3QbTwvJdSRiK9D1iVUiO6CzgE+FFV5mng+8CWlL6JZSm1nynAN6pRTV3P+3lJMymjwCYBz1OasXa1fXlv44/OliU8Ilok6bOUiXVb2L6y7ngiBloSRcR8SFocmNfYPFP1UdwALAes1jg/IaJdpekpYv5eQxlqeyal+WdVyhIeawGfTJKITpFEETF/sykLC+4GvIrSmX0jMNH22XUGFjGY0vQUERFNZR5FREQ0lUQRERFNJVFERERTSRQREdFUEkVERDSVRBEREU39f4aQNFgPJoA0AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "predicted_sigma = np.std(residual)\n", "std_error = np.sqrt(np.diag((np.linalg.pinv(np.dot(X.T, X))))) * predicted_sigma\n", "\n", "plt.bar(['Intercept','Choice','Feedback','Pred Error (Modulated)'], beta, yerr = std_error)\n", "plt.xticks(rotation=50)\n", "plt.xlabel('Regressor', fontsize=18)\n", "plt.ylabel('Beta Value', fontsize=18)\n", "\n", "print('beta PE: %.2f' % (beta[3]))" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.46062316 6.08108741 6.08108741 17.80063121]\n" ] } ], "source": [ "t_stat = beta / std_error\n", "print(t_stat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we run this first-level analysis with one subject in \"one ROI\".\n", "\n", "We could also run it with multiple subjects and multiple voxels/ROIs, and then conduct a one-sample t-test for group-level inference!" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }