From 6b9d2fd8e47835a377863e4112e54e8210409c51 Mon Sep 17 00:00:00 2001 From: Frida Heskebeck <frida.heskebeck@control.lth.se> Date: Fri, 25 Mar 2022 15:38:00 +0100 Subject: [PATCH] Re-run of example. --- MAB_for_BCI_1/MAB_2.pdf | Bin 19748 -> 0 bytes MAB_for_BCI_1/MAB_2.png | Bin 68972 -> 63366 bytes MAB_for_BCI_1/MAB_3.pdf | Bin 15937 -> 0 bytes MAB_for_BCI_1/MAB_3.png | Bin 21674 -> 20853 bytes MAB_for_BCI_1/MAB_for_BCI_1.ipynb | 159 ++++++++++++++++++++---------- MAB_for_BCI_1/accuracys_r | Bin 8553 -> 14153 bytes MAB_for_BCI_1/accuracys_t | Bin 8553 -> 14153 bytes MAB_for_BCI_1/accuracys_u | Bin 8553 -> 14153 bytes MAB_for_BCI_1/actions_r | Bin 2364 -> 3764 bytes MAB_for_BCI_1/actions_t | Bin 2345 -> 3764 bytes MAB_for_BCI_1/actions_u | Bin 2364 -> 3764 bytes MAB_for_BCI_1/rewards_r | Bin 8553 -> 14153 bytes MAB_for_BCI_1/rewards_t | Bin 8553 -> 14153 bytes MAB_for_BCI_1/rewards_u | Bin 8553 -> 14153 bytes 14 files changed, 105 insertions(+), 54 deletions(-) delete mode 100644 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reward\n", " rewards[iteration,t] = actions[action_index].use_action()\n", " # Calculate accuracy of classifier on test data. \n", + " classes = actions[action_index].name.split('_x_') # Find classes for this action.\n", " accuracys[iteration,t] = actions[action_index].ml_model().score(x_test[(labels_test==classes[0]) | (labels_test==classes[1])],y_test[(labels_test==classes[0]) | (labels_test==classes[1])])\n", " # Store what action was chosen.\n", " chosen_actions[iteration,t] = actions[action_index].name\n", @@ -324,7 +325,7 @@ " actions.clear() \n", " del actions[:]\n", " del actions\n", - " return rewards, accuracys,chosen_actions" + " return rewards, accuracys, chosen_actions" ] }, { @@ -337,7 +338,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "id": "80cbd817", "metadata": {}, "outputs": [ @@ -354,7 +355,23 @@ "text": [ "Data loaded\n", "Thompson policy\n", - "Start of loop 1/5\n" + "Start of loop 1/5\n", + "Start of loop 2/5\n", + "Start of loop 3/5\n", + "Start of loop 4/5\n", + "Start of loop 5/5\n", + "Random policy\n", + "Start of loop 1/5\n", + "Start of loop 2/5\n", + "Start of loop 3/5\n", + "Start of loop 4/5\n", + "Start of loop 5/5\n", + "UCB policy\n", + "Start of loop 1/5\n", + "Start of loop 2/5\n", + "Start of loop 3/5\n", + "Start of loop 4/5\n", + "Start of loop 5/5\n" ] } ], @@ -364,7 +381,7 @@ "\n", "\n", "time_horizon = 350\n", - "repeats = 5\n", + "repeats = 10\n", "print('Thompson policy')\n", "rewards_t, accuracys_t,actions_t = run_trials(X,y,labels,'thompson',time_horizon,repeats)\n", "print('Random policy')\n", @@ -383,55 +400,55 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "id": "c7834f0f", "metadata": {}, "outputs": [], "source": [ - " # Save data in case!!!\n", - " with open(\"rewards_t\", \"wb\") as file: \n", - " pickle.dump(rewards_t, file)\n", - " with open(\"accuracys_t\", \"wb\") as file: \n", - " pickle.dump(accuracys_t, file)\n", - " with open(\"actions_t\", \"wb\") as file: \n", - " pickle.dump(actions_t, file)\n", - "\n", - " with open(\"rewards_r\", \"wb\") as file: \n", - " pickle.dump(rewards_r, file)\n", - " with open(\"accuracys_r\", \"wb\") as file: \n", - " pickle.dump(accuracys_r, file)\n", - " with open(\"actions_r\", \"wb\") as file: \n", - " pickle.dump(actions_r, file)\n", - "\n", - " with open(\"rewards_u\", \"wb\") as file: \n", - " pickle.dump(rewards_u, file)\n", - " with open(\"accuracys_u\", \"wb\") as file: \n", - " pickle.dump(accuracys_u, file)\n", - " with open(\"actions_u\", \"wb\") as file: \n", - " pickle.dump(actions_u, file)\n", - "\n", - " # Load data\n", - " \n", - " # with open(\"rewards_t\", \"rb\") as file: \n", - " # rewards_t = pickle.load(file)\n", - " # with open(\"accuracys_t\", \"rb\") as file: \n", - " # accuracys_t = pickle.load(file)\n", - " # with open(\"actions_t\", \"rb\") as file: \n", - " # actions_t = pickle.load(file)\n", - "\n", - " # with open(\"rewards_r\", \"rb\") as file: \n", - " # rewards_r = pickle.load(file)\n", - " # with open(\"accuracys_r\", \"rb\") as file: \n", - " # accuracys_r = pickle.load(file)\n", - " # with open(\"actions_r\", \"rb\") as file: \n", - " # actions_r = pickle.load(file)\n", - "\n", - " # with open(\"rewards_u\", \"rb\") as file: \n", - " # rewards_u = pickle.load(file)\n", - " # with open(\"accuracys_u\", \"rb\") as file: \n", - " # accuracys_u = pickle.load(file)\n", - " # with open(\"actions_u\", \"rb\") as file: \n", - " # actions_u = pickle.load(file)" + "# Save data in case!!!\n", + "with open(\"rewards_t\", \"wb\") as file: \n", + " pickle.dump(rewards_t, file)\n", + "with open(\"accuracys_t\", \"wb\") as file: \n", + " pickle.dump(accuracys_t, file)\n", + "with open(\"actions_t\", \"wb\") as file: \n", + " pickle.dump(actions_t, file)\n", + "\n", + "with open(\"rewards_r\", \"wb\") as file: \n", + " pickle.dump(rewards_r, file)\n", + "with open(\"accuracys_r\", \"wb\") as file: \n", + " pickle.dump(accuracys_r, file)\n", + "with open(\"actions_r\", \"wb\") as file: \n", + " pickle.dump(actions_r, file)\n", + "\n", + "with open(\"rewards_u\", \"wb\") as file: \n", + " pickle.dump(rewards_u, file)\n", + "with open(\"accuracys_u\", \"wb\") as file: \n", + " pickle.dump(accuracys_u, file)\n", + "with open(\"actions_u\", \"wb\") as file: \n", + " pickle.dump(actions_u, file)\n", + "\n", + "# Load data\n", + "\n", + "# with open(\"rewards_t\", \"rb\") as file: \n", + "# rewards_t = pickle.load(file)\n", + "# with open(\"accuracys_t\", \"rb\") as file: \n", + "# accuracys_t = pickle.load(file)\n", + "# with open(\"actions_t\", \"rb\") as file: \n", + "# actions_t = pickle.load(file)\n", + "\n", + "# with open(\"rewards_r\", \"rb\") as file: \n", + "# rewards_r = pickle.load(file)\n", + "# with open(\"accuracys_r\", \"rb\") as file: \n", + "# accuracys_r = pickle.load(file)\n", + "# with open(\"actions_r\", \"rb\") as file: \n", + "# actions_r = pickle.load(file)\n", + "\n", + "# with open(\"rewards_u\", \"rb\") as file: \n", + "# rewards_u = pickle.load(file)\n", + "# with open(\"accuracys_u\", \"rb\") as file: \n", + "# accuracys_u = pickle.load(file)\n", + "# with open(\"actions_u\", \"rb\") as file: \n", + "# actions_u = pickle.load(file)" ] }, { @@ -444,10 +461,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "f7564b5d", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 480x480 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "steps=5\n", "fig, ax = plt.subplots(2,1,dpi=100,figsize=(4.8,4.8))\n", @@ -501,10 +531,23 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "bf271392", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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lZmb1w4m1zr3//vtssskmPPbYY1x++eU888wzjBkzhl/84hccfvjhCx177rnnMmXKFCZPnsw999zDBx98wN57751T5GZmtckFIhZjhx12qOr3u+mmmyp+zuOOO45u3brxj3/8o6l2bqHnOnr0aA477DDWWWcdIG2G3q9fPwD69+/Paaedxuabb860adOaNko3M7PFc4+1js2ZM4drr72WQw89dJGC9Ntvvz133nkna6yxRotf37NnTyS1d5hmZnXFPdY69sorrzBjxgxGjhy5yHOS2HrrrVv82hkzZnDmmWey/fbbu7dqZtYGTqx1bOrUqQCtTowHHXQQhx56KBHBrFmzWGqppbj77rvbMUIzs/rjxFrDunbtutDM3oL58+fTtWtXVlhhBSDNCm6NsWPHstNOOwEpKV9zzTWMGjWKhx9+mKFDh1YucDOzOuZrrDWsT58+TJs2bZH2qVOn0qdPH9Zcc0169+7N448/3uzXjx49mjvuuKPp8Yorrshaa63FWmutxYgRI/j1r3/NKquswhVXXNFur8HMrN60ObFKWkPSHyQ9L+kVSa8W39ojSGveBhtswIMPPrhI+8MPP8ywYcPo0qULu+22GxdeeCFz585d6JibbrqJG2+8kf79+y/2e0QEn376aUXjNjOrZ+UMBf8B6AtcBEyvbDjWFgcffDBbbLEFp512GrvuuiuzZs1i/Pjx3HTTTU0Jd8yYMWyyySZsu+22jBkzhlVXXZV77rmHY445hsMPP5whQ4Y0nW/atGn897//BWD27NmMGzeOl19+mV122SWX12dmVovKSaybABtHxLNL+s0ldScl6J2BWcCvIuLsFo79G7BjSfMOEXHzksZRq0aMGMEtt9zC2LFjOeOMM5DEsGHDuPXWW9lwww0B6NevH/fffz9jxoxhjz324P3332fNNddk7NixHHzwwQud74gjjuCII44AoHv37gwdOpQ///nPbLHFFtV+aWZmNaucxPoS8LkKff+zgBHANsAawJWSJkXE9c0cOwTYE7izqK11s3LK1B4FGypt1KhRjBo1arHHrLbaalx++eWLPea1116rYFRmZo2rnMR6BnCZpLOBl4GFLt5FxH2tOYmknsABwNcj4gngCUlDgUOB60uO7QYMBB6NiP+WEbOZmVlVlHuNFeA3zTwXQOdWnmdDoCvwQFHbv4CfSuoUEcXrSNbNzu3JUWZm1qG1eVZwRHRazK21SRVgZeC9iCju8b4NdAdWKDl2PWAa8AdJUyQ9Iunrizu5pG6Sli3cgF5tiM3MzKwsZa1jldRZ0jclHSGpj6RNJbW17l0PYE5JW+Fxt5L2wdnx/wC2A/4O3CRpxGLOfzwpGRdub7YxPjMzszZr81CwpNWA24Dls9uNwE+ALSRtGxH/aeWpZrNoAi08nlnSfgpwfkQUJiv9W9Jw4H+Ax1o4/+nAOUWPe+HkamZm7aycHuuFwD+B/qTkCLAbcDtwXhvOMxnoK6k4ufcjLbuZWnxgRMwvSqoFzwGrtHTyiJgTEdMLN+CjzwooIlobu3VQfg/NLG/lJNYvktabNpXjiYh5pF7l4oZmS00A5gGbFbV9gTTzd6ECuJLGSfp9yddvBDzfhu/Xos6d06Xh0upEVntmzkyDHV27ds05EjNrVOXMCp4JrAS8WNK+Lm2oxBQRMyVdCVwiaV9S7/NoYF8ASf2AaRExizTcfK2ke0iziL9HSsL/U0b8i+jSpQs9evTg3XffpWvXrnTq5BLKtSYimDlzJu+88w59+vRp+rBkZlZt5STWS4DfSjoGELCOpC8BvwAubeO5jgQuBu4mTTA6KSLGZ89NISXZcRExXtIhwM+A1YFngO0i4rUy4l+EJFZeeWUmTpzIpEmTKnFKy0mfPn3o169f3mGYWQNrc2KNiFMkTSUlxB6kGbrvkCYK/aqN55oJ7J3dSp9TyePLgMvaGm9rLbXUUqy99toeDq5hXbt2dU/VzHJX1n6sEXEBcEFWPalLRCy6d1kN6tSpE927d887DDMzq2HlbBvXRdJBklaPiI+BoyQ9k20lt3w7xGhmZlYzypmlcw7wc2A5SaOB44CrSNc+L6hgbGZmZjWnnKHgXYHREfFvSccCt0bELyXdzMJ1f83MzBpOOT3WHsDbWWGHrwOF/VA7AZ9UKjAzM7NaVE6P9QHSPqrTSEn2r5I2IFVkunNxX2hmZlbvyumxHkDa7m04sG9EvAN8l7Tk5pAKxmZmZlZzylnH+gYwuqTtZxWLyMzMrIaVu23caEn3S/pA0rRsf9TvVzo4MzOzWlPOOtYDgWuA+1hQNeke4CJJB1Q0OjMzsxpTzuSlnwCHRMRVRW1/lfQMcALtWHbQzMysoytnKHgl4MFm2h8gFYkwMzNrWOUk1ieB5q6n7gM8u0TRmJmZ1bhyh4LvlLQ18HDWthlp4/HtKxSXmZlZTWpzjzUiHiStYX0EWA8YSJrINDgi7q5seGZmZrWl3G3jniNtUm5mZmZF2pxYJfUGjgU2BLoDpRuSb1OZ0MzMzGpPOT3Wq0hDwX8m1Qs2MzOzTDmJ9avAlyPi0UoHY2ZmVuvKWW4zBfi00oGYmZnVg1b1WCUVF364ELhM0jHAq5Qk2Yh4vXLhmZmZ1ZbWDgW/BkR2vzBZ6fZm2gLoXJHIzMzMalBrE+vAdo3CzMysTrQqsUbEpOLHkg4BPoyI/80ejwdui4hLKh+imZlZ7Shn27jTgJ8BM4qa7wF+LunnFYrLzMysJpUzK3hf4LsRcVOhISLOB/YADqxUYGZmZrWonMTaE5jeTPt7QO8lC8fMzKy2lZNYbwXOL16CI2kV4GzgtkoFZmZmVovKSayHAksBEyW9K+ld4PXsXIdUMjgzM7Na0+aShhHxLrCFpPWBdYF5wEsR4U3Ozcys4ZW1bRxARDwFPFXBWMzMzGpeOUPBZmZm1gInVjMzswrKNbFK6i7pcklTJU2RdFQrvmaApBmSvtz+EZqZmbVNWddYJfUChgJdWVCAH4CIuK8NpzoLGAFsA6wBXClpUkRcv5ivuZi0ltbMzKzDaXNilbQncAnQo5mnW727jaSewAHA1yPiCeAJSUNJy3maTayS9gB6tTVmMzOzailnKPgXwKVA74joVHJry5ZxG5J6vA8Utf0L2FTSInFJWgE4E5dNNDOzDqycoeAVgPMi4qMl/N4rA+9FxNyitreB7tn3eLfk+HOAKyPiGUl8FkndgG5FTe7pmplZuyunx3oTsHMFvncPYE5JW+FxcUJE0leBLwCntOH8xwPTim5vlhemmZlZ65XTY50MnCbpu8BLQHGPk4jYr5XnmU1JAi16PLPQIGlp4LfAIRExqw1xnk7q5Rb0wsnVzMzaWTmJdXngf4sef/a4bPMmA30ldYmIT7K2fsAsYGrRcZsAg4C/lAwB/5+kKyPioOZOHhFzKOoRt2b42MzMbEmVUyt43wp97wmkOsObkSYtQRrufTQi5hcd9wiwdsnXvkSaUXx7hWIxMzOriLIKREgaLel+SR9ImibpEUnfb8s5ImImcCVwiaSRkr4FHA2cl32PfpKWjohZEfFy8S07xeSIeKec+M3MzNpLmxOrpAOBa4D7gL2z2z3ARZIOaOPpjgQeB+4GLgJOiojx2XNTgF3bGp+ZmVmeyrnG+hPSRKKritr+KukZ4ATgstaeKOu1FpJz6XMtXhRd3HNmZmZ5KmcoeCXgwWbaHwBWX7JwzMzMals5ifVJoLnrqfsA3uzczMwaWrlDwXdK2hp4OGvbDNgI2L5CcZmZmdWkNvdYI+JBYDhpGcx6wEDSRKbBEXF3ZcMzMzOrLWVtGxcRz5Fm9JqZmVmRViVWSXcBO0XEVEl3k7aHa1ZEbFOp4MzMzGpNa3us97KgJvA97ROKmZlZ7WtVYo2Ik4seTgT+lNXibZJtXL5/BWMzMzOrOa0dCu5L2uYN4ArgaUnvlRy2IfBL4PzKhWdmZlZbWjsU/GXgzyy4tvpY9m/hcaES0tWVCcvMzKw2tXYo+HpJA0jLc14lbeX2bvEhwMcR8X7FIzQzM6shrV7HGhGvR8RrEdGJtM/pShExKSImAbsA/dsrSDMzs1pRzu42u5KKQ2xR1LwJ8LCk0ZUKzMzMrBaVUyv4ZOCgiDi30BARuwKHAL+oUFxmZmY1qZzEuhppJ5tS/wIGLVk4ZmZmta2cxPoEcGgz7T8A/r1k4ZiZmdW2cmoFHwncJumbpC3kADYAVgC+WanAzMzMalGbE2tEPCppHWB3YB1gHnA3cE1ETKtwfGZmZjWl3N1t3qWZCkuSVo6IKUsclZmZWY1qc2KVtC6pdOFQoHOhGegGrFjOOc3MzOpFOZOXLgU+B5wF9APOBq4DeuMi/GZm1uDK6V2OBDaPiAmSvg88FxEXSXqRlFivrGiEZmZmNaScHus8YGp2/3lgWHb/dtLsYDMzs4ZVTmJ9ADhG0tKkXW52lCRgBDC7ksGZmZnVmnLXsd5I2uXmEuBw4ANgGWBs5UIzMzOrPeWsY31W0trA0hExU9II0n6t70fEQ5UO0MzMrJaUu441gJnZ/Y+BWyoZlJmZWa0q5xqrmZmZtcCJ1czMrIKcWM3MzCqorMQqaTtJK2b395N0i6RTJHWrbHhmZma1pc2JVdLPSSUMB0r6EvA74HVgJ+CcyoZnZmZWW8rpsf4PsHNEPAzsBdwbEQcDewO7VjI4MzOzWlNOYl0eeD6rtrQ9cFPWPp02Lt+R1F3S5ZKmSpoi6ajFHLuHpBclzZL0gKRNyojdzMysXZWzjnUCcAzwPmmXmxsk9QdOBx5s47nOIpVC3AZYA7hS0qSIuL74IElbAZcDB5BKKh4C/J+kNSJiRhmvwczMrF2Uk1gPBq4CBgDHR8QkSeeSEuN3W3sSST1JifLrEfEE8ISkocChwPUlh/cDTomIq7OvHQscBQwBHinjNZiZmbWLckoa/gfYqKT52IiY08ZTbQh0JfVAC/4F/FRSp4iYX/Q9ryvcz4r//xh4B3i2jd/TzMysXZVV0lDSIFLPde3s369LeiEi7m/DaVYG3ouIuUVtbwPdgRWAd5v5vl8BbgME7LG4YeBs6U/x8p9ebYjNzMysLOUst/ki8B9gILAdsDQwGLhb0k5tOFUPoLSXW3jc0nrYp4HhwInAOEmbLeb8xwPTim5vtiE2MzOzspQzK/hM4LiI+A5p03Mi4ifAT2jbtnGzWTSBFh7PbO4LIuLtiJgQEaeSNlY/aDHnPx3oXXRbtQ2xmZmZlaWcxLo+8Pdm2m8E1mzDeSYDfSUVD0f3A2YBU4sPlDRS0sYlX/8s0Lelk0fEnIiYXrgBH7UhNjMzs7KUk1hfA0Y20/7N7LnWmkDq8RYP534BeLR44lJmf1IPtNhw4Lk2fD8zM7N2V87kpZ+Rrm+OyL7++5IGAruRKjG1SrZJ+pXAJZL2BVYBjgb2BZDUD5gWEbNIZRMflnQ4qbe8J7AJ8P0y4jczM2s3be6xRsQNwBeBlUiTiUaTro1+MSL+3MbTHQk8DtwNXAScFBHjs+emkJVIzNa5fpvUc/0P8A1g24iY3Nb4zczM2lNZy20i4t9UoLcYETNJNYb3buY5lTy+Gbh5Sb+nmZlZe2pzYpW0MmkG8GCaWRYTEdtUIC4zM7OaVE6P9U+k4g5/Ic3gNTMzs0w5iXU4sHlW2tDMzMyKlLPc5iFgrUoHYmZmVg/K6bHuD9wvaUfSutWF1pxGRFuqL5mZmdWVchLraaSKR4NJW8UVC9pW1tDMzKyulJNYvwV8LSLurXAsZmZmNa+ca6yTgI8rHYiZmVk9KKfHeiJwpaRzgInAJ8VPRsR9lQjMzMysFpWTWAtlCy9t5rkAOpcfjpmZWW1rc2KNiHKGj83MzBpCqxKrpNWBNyIisvstiojXKxKZmZlZDWptj/U10ibk72T3Aygukl947KFgMzNraK1NrAOB94rum5mZWTNadb00IiZFRKHC0hWkDcgnFd+AmaTC/GZmZg2rtddYtwM2yR5+CThB0oySw9YGBlQuNDMzs9rT2qHgF0h7sCq7bQnMLXo+SEUj9q9odGZmZjWmVYk1IiYC2wBIugI4PCKmt2dgZmZmtaicdaz7tkcgZmZm9cDFHszMzCrIidXMzKyCWjsr+GTgnIiYVlyFqX1DM2veDjvs0Oavuemmm9ohEjOzRbW2x3oMsFx2fyJpo3MzMzMr0drJSy8C4yX9m7Tc5nxJs5o7MCL2q1RwZmZmtaa1iXVn4FCgd/a4sJ7VzMyqyJdCOr7WrmN9BfgxgCQBP4qIj9ozMDMzs1pU1jpWSStLOg5Yj7SbzfPAZRHxUqUDNDMzqyVtXm4jaSvSNdetSROZJpLqB/9b0paVDc/MzKy2tLnHCpwNXBgRxxc3SjoDOAvYohKBmZmZ1aJyCkR8Hvh9M+2XAxstUTRmZmY1rpzE+hoLtpArtinw3yWKxszMrMaVMxR8JnCJpMHAI1nbZsBhwAmVCszMzKwWlTMreFxaccNhwFHAbNJ+rftHxHWVDc/MzKy2lFWEPyLGRcTwiOgREctHxOblJFVJ3SVdLmmqpCmSjlrMsd+UNEHSDEn/kbRjObGbmZm1p3KGgivpLGAEaRP1NYArJU2KiOuLD5K0ATCeVLP478C2wPWSRkbEv6scs5mZWYtyS6ySegIHAF+PiCeAJyQNJZVOvL7k8O8Bd0XE+dnjl7Me63cBJ1YzM+sw8uyxbgh0BR4oavsX8FNJnSJiflH7lcBSzZyjdzNtZmZmuVmixCppWaBzRHxYxpevDLwXEXOL2t4GugMrAO8WGiPiuZLvOxT4CnDJYmLrBnQraupVRoxmZtaB1MImBGVNXpJ0uKTJwIfAe5L+K+nENp6mBzCnpK3wuBstkNQX+AtwP/C3xZz/eGBa0e3NNsZnZmbWZm3usUr6OWmpzc9Jw7idSWUMx0iaGxFntPJUs1k0gRYez2zhe68E3E76QPCdkuHiUqcD5xQ97oWTq5mZtbNyhoL/h7RmtbhvPSHrwZ4PtDaxTgb6SuoSEZ9kbf2AWcDU0oMlrQLclT38ckS8W3pMsYiYQ1GPOFt7a2Zm1q7KGQpelrS7TakXgM+14TwTgHmkqk0FXwAeLe2JZjOIbwXmA1+KiLfaErCZmVm1lJNYHwCOltT0tZI6A0ezoMThZ4qImaTZvpdIGinpW9k5zsvO2U/S0tnhJwBrAnsXPddPkmcFm5lZh1LOUPCRwH3AKEmPZ23DSddHtyvjXBcDd5MmGJ0UEeOz56YA+wLjgJ2BpYGHS77+SmCfNn5PMzOzdlNOreDnsgL8ewCDSZOQbgOuiYgZbTzXTFIvdO9mnlPR/cFtjdPMzCwPZa1jjYj3SROVzMzMrEirEqukV4GREfG+pIlAtHRsRAyqVHBmZma1prU91pOBwjDvmPYJxczMrPa1KrFGxJVFD9cAfpVdH22SlTc8qYKxmZmZ1ZzWDgWvC6yUPTwJ+Lek0vrAnwcOIm1+bmZm1pBaOxTcH7iz6PENzRzzMXDukgZkZtaRPf744599UInhw4e3QyTWUbV2KPhusmIS2eSlkRHxXnsGZh2X/7A0Nr//ZotXzjrWgS09J2nliJiyZCF1fP7DYmZmLSlnd5t1gV8CQ0k72wCIVHlpxXLOaWZmVi/KqRV8KanY/lmk3WjOBq4DegP7Vy40MzOz2lNO73IksHlETJD0feC5iLhI0oukxHrl4r/czMxqlS+FfbZyeqzzWLBf6vPAsOz+7cAGFYjJzMysZpW7bdwx2ZZujwE7Ku0iPoJUkN/MzKxhlbtt3I3Aq8AlwOHAB8AywCmVC83MzKz2lLPc5llJawNLR8RMSSOALwPvR8RDlQ7QzMyslrRpKFhSL0k9IpkJEBEfR8QtwGuSrmqXKM3MzGpEa2sFrwqMA7bOHv8fsFdEfCipM/Bj4OekiU1mdc2zIs1scVrbY70QGADsBexKWr/6a0n9gYeBM4BrgXXbIUYzM7Oa0dprrFsB342IOwEkPQk8AWxIqrq0WUQ81j4hmpmZ1Y7WJtY+wLOFBxHxiqSlgNdICddDwGZmZrQ+sQr4tKTtE2CMk2r17bDDDm3+mptuuqkdIjEzs1LlFIgo9lFFojAzM6sTbVnH+l1J04sedwZ2kvRO8UER4SU3ZmbWsFqbWF8Hjippexv4YUlbAE6sZmbWsFqVWCNiQDvHYWZmVhe8KXkOxowZU5WvMTOz6lvSyUtmZmZWxD1WM7Mq8ohV/XOP1czMrIKcWM3MzCrIidXMzKyCnFjNzMwqyInVzMysgnJNrJK6S7pc0lRJUySVVndq7mu+IOnVasRnZmbWVnkvtzkLGAFsA6wBXClpUkRc39zBktYHrgdmVy9EM+tIvLuTdXS59Vgl9QQOAA6PiCci4gbgTODQFo4/EHiAVKPYzMysQ8pzKHhDoCspWRb8C9hUUnNxfR3YG/h1FWIzMzMrS55DwSsD70XE3KK2t4HuwArAu8UHR8S3ACTt05qTS+oGdCtq6rUEsZqZmbVKnj3WHsCckrbC424sueOBaUW3NytwTjMzs8XKM7HOZtEEWng8swLnPx3oXXRbtQLnNDMzW6w8h4InA30ldYmIT7K2fsAsYOqSnjwi5lDUI5a0pKc0MzP7THn2WCcA84DNitq+ADwaEfNzicjMzGwJ5dZjjYiZkq4ELpG0L7AKcDSwL4CkfsC0iJiVV4xmZmZtlXdJwyOBx4G7gYuAkyJifPbcFGDXvAIzMzMrR66VlyJiJmlt6t7NPNfsRdGIGAeMa9fAzMzMypR3j9XMzKyuOLGamZlVkBOrmZlZBTmxmpmZVZATq5mZWQXlvR+rmbWR9yM169jcYzUzM6sgJ1YzM7MKcmI1MzOrICdWMzOzCnJiNTMzqyAnVjMzswrychszq6oxY8ZU5WvM8uIeq5mZWQU5sZqZmVWQE6uZmVkFObGamZlVkBOrmZlZBTmxmpmZVZATq5mZWQU5sZqZmVWQE6uZmVkFObGamZlVkEsaWtW5pJ2Z1TP3WM3MzCrIPVazKnOP3ay+ucdqZmZWQU6sZmZmFeTEamZmVkFOrGZmZhXkxGpmZlZBTqxmZmYV5MRqZmZWQbkmVkndJV0uaaqkKZKOWsyxwyQ9LGmmpEclDa9mrGZmZq2Rd4/1LGAEsA1wCHCSpO+UHiSpJ/B34J/AcOAB4Jas3czMrMPILbFmSfEA4PCIeCIibgDOBA5t5vBdgVnAMRHxHHAE8BGwS5XCNTMza5U8e6wbAl1Jvc+CfwGbSiqNazPgXxERANm/9wObVyNQMzOz1sqzVvDKwHsRMbeo7W2gO7AC8G7Jsc+UfP3bwOdbOrmkbkC3oqZeANOnT1+CkJMZM2a0+WuKv++cOXOW6OvnzZu3RF+/pPz6/fqX5Pv79fv1L8nX5/X623IOZZ3AqpO0F3BqRKxR1DYIeAVYLSLeLGq/k9RjPamobSywRUR8tYXzjwFOau45MzOzMq0aEZMXd0CePdbZLNyjpOjxzFYeW3pcsdOBc0ralgc+aEOMtaQX8CawKun6c6Px6/fr9+v362/v198LeOuzDsozsU4G+krqEhGfZG39SJOUpjZzbL+Stn7AlJZOHhFzgNIxh8qNh3Qwkgp3P4qIun2dLfHr9+vP+PX79bfn62/VufOcvDQBmEeamFTwBeDRiJhfcuxDwBbKfnrZv1tm7WZmZh1Gbok1ImYCVwKXSBop6VvA0cB5AJL6SVo6O/x6oA9wrqQhwLlAT+DPVQ7bzMxssfIuEHEk8DhwN3ARcFJEjM+em0Jav0rWtd8e2Co7fjPgGxHxcdUj7rjmACez6PB3o/Dr9+v36/fr7xCvP7dZwWZmZvUo7x6rmZlZXXFiNTMzqyAnVjMzswpyYjUzM6sgJ1YzM7MKcmI1M7OaJWmopG9L6ilpkIrKMOUWk5fb1A5J32/tsRFxVXvGkhdJdwOt+qWNiG3aOZzcSdoS+DGwFrADsAfwWkRcm2tg7UTSRFr//g9q53ByJ2kPFrz/GwM/Av4bEWfkGlgVSFoOuA74cta0Dql40JqkOgeT8oks31rB1nYnlzxenbQg+lVgLuk/19KkcpF1mViBe4ru9wUOBG4AHiX9DIaRCotcWPXIqkzSTsAVwKXAN0n7G88DxklaLiIuzjO+djKm6P6awBHAxSx4/zcGDiX9ga1rkg4Gfg78Ajgza34MOE9St4go/XtRb84HPib9HXgja9sf+EP23Oic4oKI8K0Gb8BPgb8Cyxe19QL+F/h13vFV6WdwB3BwM+37AA/mHV8VXv+/ge9l9z8CBmX3vwe8nHd8VXj9jwG7NNM+Gng67/iq8PqfA77ZzPv/DeCNvOOrwut/FxjazOsfAkzNMzZfY61dxwDHR0TTNngR8RHpE/3+eQVVZZsDdzbT/hCwQZVjycPaNL8RxSPAKlWOJQ+DgaeaaX8VWKOZ9nqzBim5lnoFWKHKseSlezNtnyON3OTGibV2TSMNe5baivRJrhE8ARwvqek/l6RewFjgwdyiqp5ngG2LHheuPe6dPVfv/knamKPpQ4SkQcAFwD9yi6p6HgKK511ENnHnaNKHq3r3R9Kw91DS735PSVsDvwP+lGdgnrxUoyQdSLqOdDXpmqqAkcB3gX2jTievFJO0HnALaQP7l0g/g3WA10lDZLlNXqgGSVsBNwG3AzuSri2tDYwAdoiIu3IMr91JWhn4C7Ap8AHp/V8OuAv4bkR8mGN47U7S54G/A28DG5EujawD9AC+HhETcguuCiQtBZwO/BBYKmv+lDTn4KiImJVbbE6stUvStqRh3yFZ09PAhRHxr/yiqq7sP9coYL2s6Wngjoj4JL+oqkdSP+AQ0uvvArwA/CYiXs81sCrKeixN739EPJ9nPNWUjdbsQRoWL7z/V0fEjFwDq6Jse9FBpNf/Skd47U6sZlbTsg8XXUk91iaN9OGiEUn64uKej4j7qhVLKSfWGiWpK+n6ykia/6OyXx5xVZOkYaRp9YWfwUIionPVg6qiz1rTG3W+jlfS10jX01YrfQqIBnj/F7umN+p8Ha+k+S08NQeYkufr9zrW2nU5sDNwKzA951jy8nvSJK5daMyfwT0lj7uQhsS+CZxa9Wiq7wLgYVJhjEZ8/8eUPO5CWtu7D2l9a12LiIUm30rqTHr9FwLX5BJUIRb3WGuTpBnAtyPi9rxjyYukWcD6EfFy3rF0JJL2AXaOiB3yjqU9SZpJWsc4Me9YOhJJOwJHR8Rih0rrVWFSV0SsnlcMXm5Tu6YCk/MOImcTWDBpxRa4F/hK3kFUwX3AF/IOogN6lnR5pFGtCPTJMwAPBdeuU0lruA4jVdlpiFmwJa4CLpN0BfAyqaRdk6jTeskFkpr7RN6LVDzktepGk4v7gIslbU9ablX6/o/NJaoqaWHyTi/gMNLs+Lom6ffNNPcirRK4rsrhLMRDwTUqm7jQnxY+HNX7xA1o+hm0JBpk8kbpf2CR6qbuFxHNVaWqG9nkrZZEA0zeam7yzlxS3eTDGmAd6xUlTcGC1/+HiJi76FdVhxNrjZL0pcU9HxH3VisWy4ek0rJ9hT8sb4f/Y5vlxom1DklaOSKm5B1HNUj6HKnaTKGHLqAbMCwifplbYFXQwlAwLEiw70XEp1UMqeokbQQMpfn3/+C84qqGxazjLLz/U+p5LW8LQ8FQ9PqB8RFR9WFxJ9YaJWld4Jc0/0dlxYio++vnkn5AmlrflfSfqbCWN4BHImLzvGKrBknzWDABsfi1F8wj7YD0g2yDhroi6UTSkpP/AiuRJvOtRLo8ckNEfCe/6NqfpJeAgaTfgQ9JvwN9SL8Dhf8PjwA71eMHbUnnk8oZPkyqDS5gOKle+l9JZQ63IZW3vLmasXlWcO26lLSLw1lAP+Bs0gX73jTO7jYnkPaiXJpUL3UN4PPAk8D4HOOqlgNJk3a+Tnrf+5AmbjxL2lZwK1KiOSen+NrbgcBBEdGfdF35y6TXeztpMlu9G0e6njg4IlaIiOVJezL/E/gJ6WfxJqmISj1aCzg1IraIiKMi4siI+BLwM6BLRGxP2vj9lKpHlueedb6VfwNmARtl9/8FbJPdPwC4L+/4qvQzmAsMyO7fTLY3J2kJxot5x1eF1/8GsEUz7ZuR7cdJ2gHp3bxjbafXPwdYPbt/A7BHdn84MDHv+Krw+t8FNmymfcPCe05ajvZh3rG20+v/GFi7mfa1gVnZ/dWBmdWOzT3W2jWPtJYV4HkWbCF3O42xFynAO6ReOyz8M5hMY+xH2ovm952cT+rBQqpItFQzx9SDyaRKU5D2Jd04uz+dtJaxEfRtpm0FFl4tUK/X+14Bmhvu/zZphytI8y+qvo1m3V+Hq2MPAMdIOhp4DNhd0jmkLcNm5xpZ9fwZuErS/qTSjn+Q9DipxN1LuUZWHdcDV0j6Iel3oHCN6Xzgr5J6AMdRv3tzXgZcK2lf0jW1OyS9BXyVVDyk3l0OXCnppyz8/p8CjJO0Amkexj25Rdi+jgb+lu3y9SgLXv9mwHeyiW3Xki6TVZUTa+06ErgReBW4BDictCflMqSNvhvBsaRee9+IuFHS5aSfxftA3W9CABzKgk29C5sQzAOuIP3RGUX6Q/O9XKJrZxHxC0lvkob6HpF0JOm6a6O8/8cDHwGnkda0A7xF+p34FekDxiekCT51JyJuy7YMPABYn/Ra7wf2jojXs+f2i4gbqx2bZwXXMEkClo6ImZJ6kiZvvB8RD+UbmVVT9t4PJv1heTkiPs45JKuyrHf6SURMyzsWc2Ktedk6zu406F6U2dZhG9L8z6Due+6SepGWXDW3dWBu+1FWQ7Z14r60/P7Xfa9V0lqkyz/Nvf/1XtKzD3AULW+dmVvlLQ8F1yhJXyHVyu1X+hRpskIjlDQ8k/Qf69+k7eOKBXU+JC5pT9LQd49mnm6E34HfkrYMvJ1F3/+6J+kY0jXUD0hDwsWC9Pehnv2BlFSvoYNtG+gea42S9DxpwsKZNPNHJSImVT2oKpP0IXBgRPw571jyIOl14C/AiVGHBSA+i6SPgG9FnddEbomkt4GzIuJXeceSh2zbyC9GxKN5x1LKPdbatQbw9WjsvSg/AZ7IO4gcrQCc14hJNTONNFmnUXWnMQqhtGQyaWlZh+N1rLXrbrwX5YXAyZK65x1ITm4Cds47iBydQto6cc1sIl+juQY4pEFfO6TtES+WtJ2ktSStXnzLMzAPBdeQrDZqwarAXqShwFeAhYqt1+vEnWyruMIvbSdSZZW5pJKGpT+Det827mzSUop/0/x+pHU3eaeZrfJECwUQos63TpR0Neka83vARBZ9/xtx27xCjeTI8/33UHBt2brk8UOkCkOlVYbqeeLOmLwD6ECWB/636HEj9FxK/w80spdItbIb1cC8A2iJe6x1TtJxwCURMTXvWPIi6SngGxHxRt6xWPVJmk6qq/1q3rG0F0nLAp0j4sO8Y6k2SaNINZE7k0qb3hERzZX6rBpfY61/J5B6No1sAAsqE9UVSaMl3S/pA0nTJD0i6ft5x9XB1G1PXtLhkiaTto17T9J/Sy4Z1S1Jq2YlTG8A9s5u1wP/lpRrrXAn1vpXt39UGp2kA0kTWO5jwR+We4CLJB2QY2hWBZJ+TtoecCywEal85Vjg0Gykqt5dRJpbsVpEDI+IjUhzLiYB5+UZmIeC61y21m/Deh4G+yz1+jOQ9ApwcmmFHUl7AydExLr5RNax1PH7/wZwSETcVNI+Gjg/ItbIJ7LqkDQD2Cwini5p3wD4Z0T0bv4r2597rGa1ayXgwWbaHyB9crf6tizwYjPtL7BgO8V69gHNX+ZajpIZ0tXmxGpWu54Emrueug/wbHVDsRw8ABwtqenvuKTOpJ2N6nWrwGL/C1wq6SuSemW3UcDvgD/lGZiX21gjqNfrHT8B7pS0NfBw1rYZ6Xrb9nkF1QHV6/t/JOn6+qhsEg+k66zdgO1yi6p6TiSN2vyDBXNJPiHt03tMXkGBr7HWvXq9vtQW9fwzkLQeaT/K9Ugb3L8A/MZLixao8/d/BWAP0raBhff/moiYkWtgVZTtcrMO6fW/EhEfS+obEe/lFZOHgmuUpO9L6tZMe09JPypquow63flD0l3Zf6rS9s9JeqyoaWug7hJNtqxiUkQcFRHfiIidIuJ4YFpWlamuSXpV0iLX2CT1l/ROUdMg4LWqBVYlkn4PzI2I8yPikIg4MiJ+C3SVdH3e8bU3SZ9K+lxETI2IRyLiP1lSXYOc32/3WGuIpL4s2CJsImnLpNJPZRsBf4qIpasYWtVI2g7YJHt4EnA2UPrpfG3SBgV9qxlbNUhalzT8Bale9E6kNYzFPk/a9aRnNWOrBknfAb6RPdyHdC1tVslhA4DBEdG/epFVh6TNSb/fAFcAh7PolmmDgUMjYtlqxlYNkvYi7cEL8GXSdebSiUr9ScUy1iYnvsZaW74M/JkF9TBLt0sqXGe4uooxVdsLpGuLym5bsvB/rAA+BvavfmhV0R8o3ibthmaO+Rg4tyrRVN+9pMRa+F1X0X1I7/8zQL2u45xJKutZeN0/YeEa2YXf/2OrHll13EAqZSjS38MHWfiDdeH1N/f/omrcY60hkpYhTS/vBLxK6rm9W3RIAB9HxPs5hFd1kq4ADo+IDrXJcbVkGxKMzPNaUp4knQT8KiI+zjuWPEi6G9jps8oYSloVeCsiOuQWa+XK1mv/KSJmf8ZxVS/r6sRaQyR9AGwQEW9mSeVHDbwXZxNJnyPtTblQlamIeD2fiDqWeq6VK6kXaeizuff/vlyC6mDq+f1vjTxev4eCa0sn4GuS7iStX7xAUrO9lUZIKpK2Af4A9Cs0UbRtFKkot9VpWUtJuwG/JyXVUn7/F6jL978Nqv76nVhry7mkWb6FYYbSa6zQWEnlN6QJPGdSpzOfbbF+Sdrs/tRGvRxgHZMTaw2JiDGSzgV6k2YFl15jbTRrkGb/Tsw7EMtFX9KaXSdV61CcWGtMdgF+qqSBwOsREZKWI/XYIhrrovndwBdIHzKs8dxIWm50Tt6BmBVzYq1drwMnSPox0IdUeWRstuPD4RExJ8/g2kvJXpNvAr+TtC3wCgsvOyAixlYzNmt/WVGEgqWAsyTtRPPv/37VjM2swIm1dv0c2J0Fi+QBrgR+C5wF/Kj5L6t5W5c8fghYJbsVC9LelFZftXKLJ6JMB65q4TlboJ7e/5rgxFq79gH2iYj7JM0HiIjbs7Vd11GniTUiShOrfba6STgRse9nH2Ul5gB1tYYVUvnWltYwSxoSEYUdnqpe1tWJtXatBLzVTPuHwDJVjiUXJcPCxYJUjWkKcGtEvNPCcTVN0mERcUEz7X2BcyNiz6xpEFB3RUNKhoWLFb//40s3wq4XWT3on5YWSJA0GPhdRHwRICLqdW/WZyQdEBF3FBokdSXtenMM2TKsiPhxtQNzEf7adScLb40U2WL5X5Am9TSCwaR6wfsDG5LqJO9DKvm2A6nc24uSNssnvHZ3oqR7Ja1ZaMhGLJ4HhhbaIuLdequ6k5kB7E36PfgQmAqsSaoluxJp1vwjkup1C73tgf9I+gKkpCJpDDCB9LOod1cCN0v6XbYX61bAU6Q1/nvkGZgrL9WorEzZeGB10rKD57L7k4AdI+K1/KKrDknXkOqCHhwRn2ZtnYDzgGUiYl9JJwDfjIgtcwy1XWQVp34NfAs4nXT9eTjp+vtv6jSZNpH0d+DRiDippP0EYLOI2FHSAcAPI2JYLkG2I0lLkXpnR5Hqg29BmtD144i4Oc/YqkXSENJQ7zpAL9Ka9tMjYmaucTmx1jZJXyF9Yu9CKlB/W73/QS3IZkBvHBEvlrSvAzwREctky5KersedXqDpg8RVwPdImzyPjoj/yzeq6pD0MalU3Usl7WsD/4mIpSWtDjwfET2aPUmNy+qHXw7sQnr/946I/803quqR9G3gV8A8YGXgHlKp10l5xuWh4BoXEXdGxEURcV5E3NooSTXzX+CLzbR/gQXXFPtRp1WZsiHAx4CvkobALwRukPSbbG1zvXsF+E4z7d8mLUeD1JOpyyIqkvYkDft/nrTTy9HAJZL+Xnx5oF5lpV2vIW2ftz4whDRJ61lJP881NvdYa0c2+7dVb1hE1H1JQ0l7kD6tX0sq7yjSUOhuwA+BfwG3ADdFxJF5xdleJH1K6q0eFREfZG3DgUuB1ep40goAkr4G/A14mIXf/81ICXcycAdwdkScnlec7UXSbOAM4BcRMTdrWxW4CPhave7JXCDpHuDAiHihpH0n4PyIWDWXwHBirSmSvtTaYyPi3vaMpaPIem0HAxuQhsKeAS6MiIckjQQ2By4qXIOtJ5K2iYi7mmnvBBwREedkj7cEHqvHoiGSBgEHkHoshff/dxHxuqShwJoRcWOeMbYXSYMj4vkWntspIsZn93cHbmyk7fUk9Srs/CXpFuCAiJhSte/vxFrfGn3LKPPvQKNr9Pdf0kfAht42ziqpbooDQNPaxcMj4qPFrGMEXNKuSN38Dki6i7S599Rso+8WewYRsU31IuvQ6ub9rxVOrFZr1MJ9awz3koo/QJoBatbhOLFaTSkpafcscG1EvJFXPFZdEXFy0cMVgPMi4pW84jFrjpfbWC37Kf5w2Mj2pGRHG7OOwInVatkfgZ9JWjurQmON5RzgN5JGSVpH0urFt7yDs8blT/v1r56nfX8dWINUHAFp4UuujbCWt8EVtgXcLvu38Luu7L7ff8uFE2v9q+cJPvvkHUCesl7ZG1GyZk5SZ9LygieyphdYMOGnngxszUFZ0YS3GqwqWbHbSTW1G9XepCptVeN1rDWqtVuGZYXa32/gPyp1u44vq7zULyLeLWlfi1Qrty7r47ZVPb3/i9kqcRERMfazj6otkibS+upzg9o5nBa5x1q7TpT0HWC/wqzIbMuws4GmWbKlf3QbVN302rPdWk4oPAQeyxJsseVIM6YtqZv3n7SDUUFnUl3st0hbxc0lbZ+4OvD3qkdWHWOK7q8JHAFcTCppORfYGDgUOLfKcS3EibV2DSFtGfZvSYtsGZZnYNauriT9AekE/J70Qap4k4EgDfstUurQal9ENCVWSReQPkAdGhGfZG0i/U6slE+E7Ssirizcl/QYsH9EXFd0yI2SngROA06tdnwFHgquYY28ZVhb5FHSrBqy2tH3F/6oWvPq+P3/CBjewraJT9brVokF2baRI0rrJUtaH3ggInrlE5mX29Qsbxlm2UYLm0q6TtIESatJOk7SbnnHZlXxFgtmRBfbGairDxEt+CdwrqRVCg3ZpgwXAP/ILSo8FFzL7iX1Vr+abRl2laRrSFuGvQjU9ZZh1rQ91hWk93x7oCtpw+dxkpaLiIvzjM/a3XHAnyTtQLrGKmAkMALYMce4qmU/4C/A65I+IL3+5UiXQX6QZ2AeCq5R3jKs9eppVmgxSf8GfhkRfywe7pT0PWBsRKyVc4gdQr2+/wCShpBGrIZkTU8DlzZSmcdse8D1sodPt7SVXjU5sda5ev6j0lp1fI1tJvD5LJkWJ9a1gKfqfaPr1pL0LjAyIl7LOxarPEn9SKM1C83+jojX84nI11gbQT0tNViIpMNaaO8r6eqipkHAa1UJqrqeAbYtelz4lLx39lxdk3S2pO7NtA+WdF/hcUR8rh6TqqQ+kk6RdKukOyXdVXzLO772Julrkl4DJpP+f0/MboX7ufE1Vqtljb6W90jgJknbAEsBP5W0Nuka2w65RlYd2wM7SNovIv4lqStpY4bjgNvyDa0q/kC6pnoNMD3nWPJwAfAw6Xe9Q71+DwXXuXodBoWmqlK/Br4FLLKWtxGqTWXDYIeQrjF1IZUv/E2ew2DVkm28cCJwFHA1sAXpA8aPI+LmPGOrBkmzgC9GxKN5x5KH7FLI0IjItXfaHPdYrWZFxLuSvk+aHX0KDbiWNyL+S+q5L0f61D6/tHZwvYqIuZLOANYG9ie9/3s3QlLNTAbq/sPjYtxHqjzlxGpWKdla3vOB/qSZkRuR1vL+HvhpRHyYX3TtL6uycwLwY6APsA4wNls4f3i9zwSXtCdwBqny1JdJ7/8lkvYCDmuAmbHHABdn9YNfpmSjhQYYtbiP9Pq3B15i0defW61kDwXXuTofCv6U1Fs9KlvLi6ThpHWdq0VEXa/lzf6g7k76A/snYH1S/dTfAjdHxI9yDK/dSZpNSqy/iIi5WduqwEXA1+p9VrSk4t5q8R9yAVHv2yZKunsxT0dEbFO1YEo4sdao1m4ZltXT/FZEvJlDmO2q0dfySnoV2Cci7itZbrMVcF1E9Ms5xHYlaXBLaxYl7RQR47P7uwM3RkRdbZ0maY3FPR8Rk6oViy3MibVGecuw1qvXtbySPiYl05dLEuvngYciYpmcQ+wQ6vX9b0k2qWtYRDycdyztTdJGwFAWbGovoBvp9R+cV1y+xlpDvGVY2ep1Le+dpGHgA7PHIakX8AtgccNkjaYu339JW5B2shrKojUJPiElmLqVXQoZQ9rEfCXSZK6VSHnthvwic2KtNd4yrMFJGgXclw1rHwKMl/RfYGngRtJenK/TGOtYG90FpGIIxwLXAd8nTeQbAzRbPKXOHAgcFBG/ywpFbAN8AFxLmsyVGw8F1yhvGdZ69TSBK5vxOzgi3syusY4kbW5dvI71tkZYw9ta9fT+F8smb20UEc9nE3nOjIj/y4qmHBsRI3MOsV1JmgOsHRGvS7oBuD4irskmMF4fEQPzis0lDWuUtwxrWB+S1q3uDQwgzQpeFfgoe25FYM9sfa/Vt5lA4VLQ86QPWACPAOvmElF1TSaVKwV4Dtg4uz+d9P8gNx4KrlHeMqxh/RA4mbQPbwA/YcEf12JBWopk9esu4IysZvYDwJGSfkfaMm5qnoFVyWXAtZL2Bf4K3CHpLdL/jQk5xuWh4FrlLcNar46HAicCIyLi/bxj6cjq+P3vTyrleANwCXAHsBXpg9bBEXFZjuFVRTYyMyki7s0mdx4IvE8qkPJCbnE5sdYmbxnmtbzWOpLGkxLN23nH0p6ySlxDgKkRMTnveBqZh4JrV2HLsMKQb0NtGZaZCPQDSnevGQj8C+gBEBEjqhyXtZNsiUWrFEraRcRO7RdRvrLlVYOB7ixYVrSCpDUj4r6Wv7L2ZbsZ7Uu6tlz8+gGIiP3yiAucWGtZQ24Z5rW8DW/rovudSUXY3yJdU5tL+iO7OvD3qkdWZVlFqd/T/HrVYEHRhHr1W2AX4HYWXnaYOw8F17BG3DIs+5S6OwvW8h5BC2t5670If6OTdAFp0t6hhWVn2XDo2cBKEbFHnvG1N0mTSDWiT42IDrUfaTVkl8C+FRF35h1LKSfWOtCIW4aB1/I2uuwP6/CIeLGkfR3gyYjomU9k1ZGVtBwaEa/lHUseJL0JjIqI5/KOpZTXsdYoJT+V9B7pGuMawB8kXSKprkuZFXgtb8N7C9iumfadgbqaAdyCG4G6vX7cCqcA50laMxup6DB8jbV2/Zw0JLoPaTgIUsnD3wJnAXW9ZRh4La9xHPAnSTuQrrGKVIlqBGktZ91R2mu4YCngrOz/wSuUrGfOc/JOe8m2yivdIu/F7LmFjs1z2zwPBdeoRt8yDLyW10DSENKHyyFZ09PApfW6ybmkK1p7bETs256x5CG7/NMq2YhWLtxjrV0rkYbCSn0INMp2YWsDDzXT/giwSpVjsRxExLOk6lMNoZxkKek3wIkR8V47hFRV5STLPLYN9DXW2lXYMqygEbcMK6zlLWjEtbwNS1IfSadIulXSnZLuKr7lHV8HsiewbN5B5Kjq11/dY60h3jJsEQ25ltea/IF0TfUa0qx4a16HmtjTCHyNtYZ4y7BFNeJaXkskzQK+GBGP5h1LR1avtZJbK4/X7x5rbSlsGXY/C7YMm07aMgwWbBlGRDTEziYR8V/Sz6Qh1/I2uMlAw3yItNrhHmsNkbQjacuw3qR1q5NpYcuwiBjUTHtdydaunQD8GOgDrAOMBWaQdreYk1901t4kfRs4HjgReJlU0rCJRy0S91ir//qdWGuUtwxrKsi+O2kS15+A9YE1SWt5b46Iul/L28iyNY0FpWsbI891jB2JE2v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+ "text/plain": [ + "<Figure size 480x480 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "plt.figure(dpi=100,figsize=(4.8,4.8))\n", "actions = np.unique(actions_r[0]) # Get all possible classes\n", @@ -609,6 +652,14 @@ "[4] pyRiemann Contributors, n.d. pyRiemann: Biosignals classification with Riemannian Geometry. URL: https://pyriemann.readthedocs.io/en/latest/index.html (accessed 3.9.22).\n", "\n" ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a3b7185e", + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { diff --git a/MAB_for_BCI_1/accuracys_r b/MAB_for_BCI_1/accuracys_r index b1e54a59cc1a1d5303adff079f3897761286b150..4b39e5bec332caa983647fe90273d5a21d1736fa 100644 GIT binary patch literal 14153 zcmZo*nQCXw00upxd8N4pm3qnfMX7qZr8y;;iA6<;l~a0n;)_y~^Ye;Jib|79rc9pF z!wOb7rH4H)1)^l~6mN#sDb9>ZQ`)BlP0{dX^k(&qV{Ds}!Q8`|Qc_uv3ev@tW-+C+ z1EPSrhtXz=pP!%C|NsC0g9&ejk|{}@P8-Y^7+k>Mi9Og=3=bf5!$Szo@YG(!dZV!Q z#>e*izTc~UzxO#*9IB4tf&HG{An@8gd+pY1QQ2?p{ofq%dvoNT{UjC7Nh+St>}%fd z1?jZ6?0am{_xOeVteGJ2(q0uLJ?Vjc$vMmCbBf>Dcg?-gIrj$4-WT=@_qKc!y7k%~ z>^zq@P<!v%8-u}X`?F_2;0;_K%sdzk@y}iRP%wCF5Aubu^+PxxqV5HTIr?CWUqS3^ zcmj6^%pdpeg1}q*+uL$)Z_9lQHxFXpbNic}AdftNi$lEs)*eQyZJB-{&gr#1%p4dW zZ0)Vr_N!Nc0MvelXZG7c*4%z&KjT82Q#I#XsJouQ{S6DZJg|daLgX1<*hBa*^-tmM 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