diff --git a/Exercise sheet 8/exercise_sheet_08.ipynb b/Exercise sheet 8/exercise_sheet_08.ipynb index 6f624b7..719e998 100644 --- a/Exercise sheet 8/exercise_sheet_08.ipynb +++ b/Exercise sheet 8/exercise_sheet_08.ipynb @@ -501,7 +501,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 81, "id": "ee683060", "metadata": { "deletable": false, @@ -532,22 +532,26 @@ "N_space = 2**np.arange(7, 13)\n", "\n", "with h5py.File(\"qgdimension.hdf5\", \"a\") as f:\n", - " if not \"expectation-graph-distance\" in f:\n", - " graph_distance_expectations = np.zeros((len(N_space), samples))\n", - " for idx_N, N in enumerate(N_space):\n", - " V = (N + 4)/2\n", - " for idx_sample in range(samples):\n", - " adj = generate_random_triangulation(N,'B')\n", - " expectation = 1/V * vertex_distance_profile(adj,max_distance)@np.arange(max_distance)\n", - " graph_distance_expectations[idx_N][idx_sample] = expectation\n", - " \n", - " f.create_dataset(\"expectation-graph-distance\",data=graph_distance_expectations)\n", - " f.create_dataset(\"N-values\",data=N_space)" + " if not \"N-values\" in f:\n", + " f.create_dataset(\"N-values\",data=N_space)\n", + " \n", + " for model in models:\n", + " models_key = \"expectation-graph-distance-{}\".format(model)\n", + " if not models_key in f:\n", + " graph_distance_expectations = np.zeros((len(N_space), samples))\n", + " for idx_N, N in enumerate(N_space):\n", + " V = (N + 4)/2\n", + " for idx_sample in range(samples):\n", + " adj = generate_random_triangulation(N, model)\n", + " expectation = 1/V * vertex_distance_profile(adj,max_distance)@np.arange(max_distance)\n", + " graph_distance_expectations[idx_N][idx_sample] = expectation\n", + "\n", + " f.create_dataset(models_key,data=graph_distance_expectations)" ] }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 84, "id": "351f7a01", "metadata": { "deletable": false, @@ -566,7 +570,43 @@ "outputs": [ { "data": { - "image/png": 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H559/nrvvvpsWLVoQFxdH7dq1GT16NB06dODpp5+mQ4cOtGrV6phTPQPUr1+fRx55hF69euHuXHLJJQwcOLAIPw2REiB1caj3snUVtL8SLh4FVWoHXVXUlLj5ZMxsAtAP2OLu7fIsvxgYC8QAz7v7qDzr3ixsyIRrPpkTftpXSh3NJ1O2XP/UB1y592X6pb0N1eqH5no57aKgy4qY0jSfzIvAE8DLPy0wsxhgPHABkAosNLN33H1lNAsr6In/JiOm5X6vJ/5FyogNH/Lotl9xStZ30HU4nP8gVArPddmSpsSFjLvPNbMm+RZ3B9a5+wYAM5sEDAQKFTJmdhNwE0Djxo2Pu7a84xaJSBmUvgtm/ZGsxa/wEefx79gHuK15b5Jiq1G6bkwuvNJy4b8hsDHP61SgoZnVNrOngU5mdt+Rdnb3Z929q7t3rVu37pG2CWvBUrbo81MGrJ4OT/Yk6/PXuC7uSe7NGM6SH2uE9YHskqi0hExBV9Xd3be7+y/dvbm7P3K8B69UqRLbt2/XLwo5Lu7O9u3bqVSpUtClSCTs3QpvDINJQ6DySSSfP5WUfSdF5IHskqjEnS47glSgUZ7X8cDmcB08Pj6e1NRUtm7dGq5DShlTqVIl4uPjgy5Dwsk9NFLyu/dCxl7odT+ceQcrPvyG9Iydh2z60wPZvducHFCxwSktIbMQaGlmTYFNwNXANeE6eIUKFWjatGm4DiciJd3uVJh6F6x9D+K7wYAnoF5rIPIPZJc0Je50mZlNBOYBrcws1cyGu3smcBswE1gF/MfdVwRZp4iUQtnZsPB5GN8zNCXyxaPghpm5AQORfyC7pClxz8lEWkHPyYiIsH09vHM7fPMJNEuC/mNDw/IXICvbI/ZAdnFVmp6TERGJnqxMmPcEJD8CMRVDp8Y6DQU7cmjElDNqxcVSK44yeR0mL4WMiMiRfP8FTL4NvkuB1v3gksegev2gqypRFDIiIvllHoC5o+HjMVC5FlzxErQdeNTeixRMISMiktfGBaHey7Y10HEIXPRXiDsp6KpKLIWMiBRbBY0HmFdYxwM8sBfefxjmPw014uHat6Dl+eE5dhmmkMlhZv2B/i1atAi6FBHJkXc8wIiObL7+/dA0yLu+hW43wvkjoWK18LdTBpW452Qixd2nuPtNNWrUCLoUEYmW9J2huV5euQxiYmHYu9D3MQVMGKknIyJl06opMO1u2LcNzroLzh0BFTS+XLgpZESkbNm7Bab/Fla+Dae0h2v+Aw0Sg66q1FLIiEjZ4A5LJ8GMEXAwHXo/AGf8GmIqBF1ZqaaQEZHSb9e3MOVOWD8HGvUIPbVfVxMMRoNCRkRKr+xsWPQCzH4w1JPpMxq6/QLK6Z6naFHIiEjptG1taEDLb+dB8/Og3+NQ69SgqypzFDIiUrpkHYRP/wnJo6BCZbj0qdCT+xoSJhAKGREpPb5bGhoS5vtlobHG+oyGatEbBbmgEQqajJiW+31YRygoIRQyIlLyHdwPH/4NPhkLcbXhyleg7YCol5F3hAIJUciISLGXle3sTMsg7UAWc1b9cOgkYN9+Fuq9bF8LiUPhoodDIydLsaCQEZFiLSvbue6F+azbspdsh9snLiGxUU1eGdqWmA/+DAuegxqNYOh/oUXvoMuVfBQyIlKsJa/ZQsrGXWTnzBSflpFFyjfbSR57A733z4YeN8N5f4SKVYMtVAqkkMmhUZhFiqcVm/eQnpF1yLL0zGxWZp9K7xtmQuMeAVUmhaEnknJoFGaR4imhQXUqx8YcsqxyjNN2wF0KmBJAISMixVpSg2wSYzcRx36MbOIqGIlN6pHUtmHQpUkh6HSZiBRP7pDyGjEzf88r2Qd4sPqvSS7XgwcHtj/07jIp1hQyIlL87PwmNFPlhg+g8RnEDPgnX761lQZA7zbRe7hSTpxCRkSKj+ys0C3Jc/4UGgbmkseg6/CcAS23Bl2dHAeFjIgUD1vXhB6qTF0ALS6AfmOgZqOgq5ITpJARkWBlHYRPHocPH4XYKnDZs9DhSg1oWUooZEQkOJuXhHovPyyHhMtCA1pWrRt0VRJGChkRib6D6aGh+D/9J1SpC1e9Bm36BV2VRIBCRkSi6+tPQpOJ7VgPna6DCx+GyjWDrkoiRCEjItGxf09oGuRFL0DNU+H6ydAsKeiqJMIUMiISeV++B1Pvgj2boOetcN4fQhf5pdRTyIhI5OzbDjPvg2WvQ93WMHwWNOoWdFUSRQoZEQk/d1jxP5j+W9i/C869F86+G8pXDLoyiTKFTA4N9S8SJnu+g2l3w5pp0KATDJgMp7QLuioJiLl70DUUK127dvVFixYFXYZIRIyZ9SVj56w94vo7erc8/jnq3WHJKzDzfsg6AL3+AD1vgZjj/1s2ovVKWJnZYnfvethyhcyhFDJSVlz1zDwAXr/59BM/2I6vYMqv4au5cOpZMGAc1G5+4seVEuNIIaPTZSJy/LKzYP7TMOfPUK58aLyxzj/PGdBSRCEjIsdry6rQkDCbFkHLi0IBU0MTicmhjhkyZnZSIY6T7e67TrwcESn2MjPg4zEwdzRUqg6DXoB2gzSgpRSoMD2ZzTlfR/sExQCNw1KRiBRfmxbD5NthywpoNxj6/A2q1Am6KinGChMyq9y909E2MLMlYapHRIqjjDRI/ivMGw9VT4Ehk6BVn6CrkhKgMCFTmFtPwnB7iogUS199FBrQcudX0GUYXPAQVKoRdFVSQhwzZNx9f97XZlYF2O/uWUfaRkRKgf27YdYDsPhFqNUUfjYFmp4TdFVSwhTmwn854GrgWqAbcACoaGZbgenAs+5+5KelRKTkWTMjNKDl3u/hjNsh6fcQGxd0VVICFeZ02QfAbOA+YLm7Z0PuXWe9gFFm9j93fzVyZYpIVOzbBu/eC8vfhHpt4apXIb5L0FVJCVaYkHne3V/Jv9DddwBvAW+ZWYWwVyYi0eMOy9+Cd38Xmvcl6fdw1l1QPjboyqSEK0zIDDWzLsDdea/D5OXuB8NblohEUla2szMtg7QDWcxZtJKkNX8iZu270LALDHgCTm4bdIlSShRm7IeLgf3A+2ZWL8L1iEiEZWU7170wn3Vb9pK6K43b31zFdSu7kHXhX0PzvShgJIyOGTIeMgIYC8w1s5vMrLuZlZirgGZWxcxeMrPnzOzaoOsRCVLymi2kfLuDbAcw0qhESrkEkmsNhnIxQZcnpUyhRrEzs37AL4AMoDPwGLDRzNYVpTEzq2lmb5rZajNbZWbH9XyNmU0wsy1mtryAdReb2RozW2dmI3IWXw686e43AgOOp02RUiErkxWfvUf6wUPPfKcfdFZu3hNQUVKaFeYW5g3AKmCMu8/Kty6+iO2NBWa4+2AziwUO6Q3lnI5Ld/cf8yxr4e75w+xF4Ang5Xz7xwDjgQuAVGChmb0DxANf5GxW4HUlkVLvhxUw+TYSNjqVy91JWvb//41ZOTaGtg2qB1iclFaF6clc4u598wcMgLunFrYhM6sOnAO8kLNvRgGDap4LTDazSjn73AiMK6DducCOAprpDqxz9w3ungFMAgYSCpyfArHA92xm/c3s2d27dxf2LYmUDJkH4IO/wjPnwK5vSbridhKbnkK5nNEI42JjSGxUk6RWuuQq4VeYJ/5Xh6mtZsBW4F9m1hFYDNzh7vvytPWGmTUFJpnZG8ANhHolhdUQ2JjndSrQg1BQPWFmfYEpBe3o7lOAKV27dr2xCO2JFG8bF8I7t8HW1dDhKrjoEWKq1OaVdk6fsXNJO5DFQwMTSGpVj5hyGkVZwi+a88mUJ3Q953Z3n29mY4ERwB/zbuTuj5rZJOApoLm77y1CGwX9L/GcIBt2nHWLlDwZ++D9v8BnT0L1BnDNG3DahbmrY8oZteJiqRUHvducHGChUtpFc/q6VCDV3efnvH6TUOgcwszOBtoB/wNGHkcbjfK8jic0TYFI2bEhGZ48HT4bD11vgFs+OyRgRKLpuEPGzOqbWcXCbu/u3xO6I61VzqLewMp8x+wEPEfoOsow4CQze7gIZS0EWppZ05wbC64G3inC/iIlV/qu0GjJLw8MTYX88+nQ7x+hicVEAnIiPZlXgNVm9lgR9rkdeM3MlgGJwF/zrY8DrnD39TljpP0M+Cb/QcxsIjAPaGVmqWY2HMDdM4HbgJmE7oj7j7uvKNrbEimBVk+D8T1gyatw5h3wq0+gyZlBVyVSqFuYXwJuzLlbK5e7n29mBhT68WB3TwG6HmX9J/leHyTUs8m/3ZCjHGM6odGhRUq/vVtD442t+C+c3A6GTISGh52FFglMYXoyG4F5ZtYk70Iz6wC8oJ6CSADcYenrML4brJ4Kve6Hm5IVMFLsFOYW5vvN7DNgtpndAVQA7gSqUcAzLCISYbs2huZ6WTcL4rvDgH9CvdZBVyVSoMLewjwXmEHoGZMtwJU5D0SKSLRkZ8PiCTBrJHg2XPw36H6jxhuTYq0w12TGA/2AiUAbQrcV/9rMFrl7WoTrEyn2xsz6krFzjjw57B29W3LXBaedWCPb1oXuHPv2U2iWBP3HQq0mJ3ZMkSgoTE/mC+Aed0/PeX2Nmd0NfGZmg939y8iVJ1L83XXBabkhctUz8wB4/ebjGvv1cFmZMO8JSH4EyleEgeMh8VowPZ0vJUNhrsk8XcCyv5vZEkJ3cbWIRGEiZd73X8DkW+G7pdC6H/T9O1Q7JeiqRIqkMKfLzN09/3J3f9/Meh1tGxE5Dgf3w9zR8MnjULkWXPEStB2o3ouUSIU5XfaBmb0FTHb3b39amPNEfcucJ/I/IDT8voiciG/nhwa03PYldLwGLvoLxJ0UtsMXdP2oyYhpud+H5fqRSB6FCZmLCY2GPDFnhORdQCUgBniP0DwzKZEqUKRMOLAX3v8zzH8GasTD0Legxflhbybv9SORaCjMNZn9wJPAk2ZWAahDaGKxXRGuTaRsWP8+TLkDdn0L3W+C3g9AxWpBVyUSFkUa6t/dD5pZP3c/bKgXESmi9J0w835IeRVqt4RhM+DUMN2VJlJMHM98Mp3CXoVIWbPyHZh+D+zbBmf9Bs69FypUCroqkbA7npC52MyeBT4nNLvlMnc/EN6yREqpH38Ihcuqd+CU9nDtG1C/Y9BViUTM8YTMTOD3QBfgPELjmF0bxppESh93WDoRZtwHB9ND113O+DXEVAi6MpGIKsxzMn2Ape7+0wyTn7n7TmB2zpeIAFnZzs60DNIOZDFn1Q8ktapHTDkLXdCfciesnwONeoYGtKyrO7ykbChMT2YQ8GczOxlYDaSY2VAgBVjl7lkRrC9qzKw/0L9FCw1gIEWXle1c98J81m3ZS7bD7ROXkNioJq+0X0bMnAdDG/UZDd1+AeWiOeu5SLCO+Wl391+4e1fg78CXwFdAL2ABBcxaWVK5+xR3v6lGjRpBlyIlUPKaLaRs3EV2zrgXaRlZpGz4juRp/4bGPeHWz6DHTQoYKXOKck1mmLvnXqE0syeB34a/JJGSZ8XmPaRnHNqpT/fyrGx9O72vuVxDwkiZVZQ/q/aYWZefXrj7YkAnlkWAhAbVqVzh0CCpXKE8bTufpYCRMq0oPZkbgFfNbCWhW5fbAwcjUpVISXJwP0mpT5GYVZkltCCdisTFliexUU2SWtULujqRQBU6ZNx9rZmdAVwOdABWEbqVWaTs+mYevHMbMdvX8Uq3oVy2oSM7Dsby0MCE/7+7TKQMK+qwMlnAGzlfImXXgR9h9kOw8Dmo2Riu+x8xzc+j8jPzaAj0bnNy0BWKFAuFeU7mc3fvfKLbiJQaa2fD1Dthdyr0+CWc90eoWDXoqkSKpcL0ZNqY2bKjrDdA9/1K6Ze2A2b+PvTkfp3T4IaZ0LhH0FWJFGuFCZnWwFDg1aNsUyoeyBQpkDusnBwacyx9J5zzWzj7Hg1oKVIIhZlP5hszO9XdvwEws17u/kHO953d/fNIFykSmB+/h2l3w+qpUD8RrvtfaGBLESmUwj4nk/cWmSF5vv9lGGsRKT7cYcmrML47rJsN5z8Ev5ijgBEposLeXVbezDq5+xIODRzdnymlz86vQzNVbkiGxmeEBrSsozHtRI5HYUMmG6hiZkMAM7PrgVmAR6wykWjLzoIFz8KcP4GVg75/hy43aLwxkRNQ2JD5I3A+UBX4FNgAdAZaRqgukejashreuR1SF0CLC6DfGKjZKOiqREq8QoVMzlwyL//02swSgAbAigjVJRIdWQfh48dh7qMQWxUufw7aX6HxxkTC5HhmxsTdVxAKmP+EtxyRkDGzvmTsnLVHXH9H75bcdcEJjs+6eQlMvg1+WA4Jl0OfR6Fq3RM7pogc4rhCRiTS7rrgtNwQueqZeQC8fvPp4Tn4wXRIfgQ+/SdUqQdX/xta9w3PsUXkEAoZKVu+/jh07WXHBuh8PVzwZ6hcM+iqREothYyUDfv3wOyRsGgC1DwVrp8MzZLCcuiCTu01GTEt9/uwnNoTKaEUMlL6ffleaEDLH7+D02+DXr+H2CphO3zeU3siciiFjJRe+7bDjBHwxX+gbmu48mWI7xp0VSJlSpkIGTOrAjwJZADJ7v5awCVJJLnDiv/C9N/B/l1w7gg4+zdQvmLQlYmUOVF/lNnMYsxsiZlNPYFjTDCzLWa2vIB1F5vZGjNbZ2YjchZfDrzp7jcCA463XSkB9myGSdfAmzeEHqa8eS70uk8BIxKQIMbLuIPQ1M2HMbN6ZlYt37KCBo16Ebi4gP1jgPFAH6AtMMTM2gLxwMaczTQtQWnkDotfhPE9YP37cOHDMHw2nJwQdGUiZVpUQ8bM4oG+wPNH2ORcYLKZVcrZ/kZgXP6N3H0usKOA/bsD69x9g7tnAJOAgUAqoaCBI7xnM+tvZs/u3r27CO9IioUdG+Cl/qFBLU/pAL/6FM64HWLKxNlgkWIt2j2Zx4HfERpw8zDu/gYwA5hkZtcCNwBXFuH4Dfn/HguEwqUh8F9gkJk9BUw5QttT3P2mGjU0yWeJkZ0Fnz4BT54B3y2Ffo/Dz6ZA7eZBVyYiOaL2p56Z9QO2uPtiM0s60nbu/qiZTQKeApq7+96iNFPwIX0fMKwo9Uox98NKeOc22LQYTrsY+v4DajQMuioRySea5xPOBAaY2SVAJaC6mb3q7kPzbmRmZwPtgP8BI4HbitBGKpB36Nx4YPMJVS3FS2YGfPwPmPsYVKoOg16AdoM0oKVIMRW102Xufp+7x7t7E+Bq4P0CAqYT8Byh6yjDgJPM7OEiNLMQaGlmTc0sNqedd8LyBiQQWdnOzrQMNu1MZ85Hn5D1TFJo3LGES+HWBdB+sAJGpBgrbrMxxQFXuPt6d88GfgZ8k38jM5sIzANamVmqmQ0HcPdMQj2fmYTuYPtPzojRUgJlZTvXvTCfdVv2krorjdunfcd1319B1lUTYdDzUKVO0CWKyDEEcvuNuycDyQUs/yTf64OEejb5txtylGNPB6afcJESuOQ1W0j5ZjvZDmCkUZkUa00ynekddHEiUijFrScjErJ/Nys+mER65qE3IqZnZLNy856AihKRolLISPGz5l0Y34OE79+mcowfsqpybAxtG1QPqDARKSqFjBQf+7bBm8Nh4tVQ+SSSbhxNYpN6lMu5rh8XG0Nio5oktaoXbJ0iUmh6JFqC5w5fvAnv/g4O/AhJv4ez7iKmfCyvDHf6jJ1L2oEsHhqYQFKresSU091kIiWFQkaCtTsVpv4G1s6Ehl1h4BNQr03u6phyRq24WGrFQe82JwdYqIgcD4WMBCM7Gz5/Ed57ADwLLnoEetwM5WKCrkxEwkghI9G3fT2882v45mNoei70HwsnNQ26KhGJAIWMRE9WJnz2JHzwF4ipCAP+CZ2u0xP7IqWYQkai4/vloQEtNy+BVn2h79+hev2gqxKRCFPISGRlHggNZvnxP6BSTRj8L0i4TL0XkTJCISORs3FhqPeydTV0uAouHgVxJwVdlYhEkUJGwi9jH7z/MHz2FFRvCNe8AaddGHRVIhIAhYyE14bk0J1ju76Bbr+A3iND876ISJmkkJHwSN8F790PS16Bk5rDz6dDkzODrkpEAqaQkRO3aipMuxv2bYUz74SkEVChctBViUgxoJApQ8bM+pKxc9Yecf0dvVty1wWnFf6Ae7fA9N/Cyrfh5PZwzSRo0OnECxWRUkMhU4bcdcFpuSFy1TPzAHj95tOLfiB3WPY6zBgRush/3v2hHkxMhTBWKyKlgUJGimbXRph6F6ybBfHdQwNa1m0VdFUiUkwpZKRwsrNh0Qsw+8FQT6bPo6G7xzSgpYgchUJGjm3b2tBtyd9+Cs16hQa0rHVqRJss6PpRkxHTcr8v8vUjEQmEQkaOLCsTPh0HyaOgQiUY+CQkXhOVIWHyXj8SkZJLISMF+25ZaEiY75ZC636hAS2rnRJ0VSJSwihk5FAH98PcR+HjxyGuNlz5MrQdGHRVIlJClYmQMbMqwJNABpDs7q8FXFLx9O38UO9l25fQ8Rq46C8a0FJETki5aDVkZpXMbIGZLTWzFWb20Akca4KZbTGz5QWsu9jM1pjZOjMbkbP4cuBNd78RGHC87ZZaB/bC9N/BhIvgYDoMfQsue0oBIyInLGohAxwAznP3jkAicLGZ9cy7gZnVM7Nq+Za1KOBYLwIX519oZjHAeKAP0BYYYmZtgXhgY85mWSf2NkqZdXPgydNhwbPQ/Ua4ZR60OD/oqkSklIhayHjI3pyXFXK+PN9m5wKTzawSgJndCIwr4FhzgR0FNNMdWOfuG9w9A5gEDARSCQUNRDdYi6WsbCd9724afDebOS/9mayYSjDsXbhkNFSsduwDiIgUUlSvyeT0NBYDLYDx7j4/73p3f8PMmgKTzOwN4AbggiI00ZD/77FAKFx6EAqqJ8ysLzDlCLX1B/q3aFFQx6n0yMp2rhs3lXVbM/iCRGbGdCSxUh1eadQTPVYpIuEW1b/q3T3L3RMJ9Sq6m1m7ArZ5FNgPPAUMyNP7KYyCHuBwd9/n7sPc/VdHuujv7lPc/aYaNWoUobkS5scfSH5+BCnfHyCNSjjlSMuKISV1D8lrtgRdnYiUQoGcOnL3XUAyBV9XORtoB/wPGFnEQ6cCjfK8jgc2H1eRpYk7LHkNxndnxcZtpFPpkNXpGVms3LwnoOJEpDSL5t1ldc2sZs73lYHzgdX5tukEPEfoOsow4CQze7gIzSwEWppZUzOLBa4G3glD+SXXzm/g1cth8i1Qrw0J/W6jcuyhZ0krx8bQtoFmrxSR8ItmT6Y+8IGZLSMUBrPcfWq+beKAK9x9vbtnAz8Dvsl/IDObCMwDWplZqpkNB3D3TOA2YCawCviPu6+I2DsqzrKzYf4zoTvHNi6ASx6Dn08nqVsiiY1qUi7nxGJcbAyJjWqS1KpesPWKSKlk7vlv8Crbunbt6osWLQq6jBOzdQ28cztsnA/Ne0P/x6Fm49zVWdlOn7FzSTuQxUMDE0hqVY+YcpEfj0xESi8zW+zuXfMvLxNP/JcZWQfhk7Hw4d+gQhxc+jR0vPqwAS1jyhm14mKpFQe925wcULEiUhYoZEqLzSmhIWG+/wLaXhp65qWqToGJSLAUMiXdwfRQz+WTcVClDlz1KrTpH3RVIiKAQqZk++bT0LWX7eug01C48GGoXCvoqkREcilkSqIDP4amQV74fOiC/nVvQ/NeQVclInIYhUxJs3YWTLkT9myCHr+C8+6HilWDrkpEpEAKmZIibQfMuA+WTYI6rWD4e9Coe9BViYgclUKmuHOHlW/D9N9C+k4453dwzj1QvmLQlYmIHJNCpjjb8x1MvwdWT4X6iXDd/+CU9kFXJSJSaAqZ4sgdlrwCM++HrANwwZ+g560Qo38uESlZ9FuruNnxFUy5A776EE49E/qPgzqle44bESm9FDLFRXZWaEDL9/8MFgN9/wFdhkG58I1hOmbWl4yds/aQZU1GTMv9/o7eLbnrgtPC1p6IiAbIzCeQATK3rA4NCZO6EFpeCP3GQI34Y+8nIlJMaIDM4igzAz55HOaOhtiqcPlz0P6Kwwa0FBEpqRQyQdn0eWhImB+WQ7tBcPHfoGrdoKsSEQkrhUy0ZaRB8iMw7wmoejJcPRFaXxJ0VSIiEaGQiaavPw71XnZsgM4/C92aXLlm0FWJiESMQiYa9u+B2SNh0QSo1QSufweanRt0VSIiEaeQibQvZ8LUu+DH7+D026DX7yG2StBViYhEhUImUvZtgxkj4Is3oG4buPJliD/s7j4RkVJNIRNu7rD8LXj3d6HTZOeOgLPvhvKxQVcmIhJ1Cplw2rMZpv4GvnwXGnSGgU/AyQlBVyUiEhiFTLh8/jLM/ANkHQxNg9zzFigXE3RVIiKBUsiEy9Y1UL8j9B8LtZsHXY2ISLGgkAmX3iOhXPmwDmgpIlLSKWTCRRf2RUQOoz+7RUQkYhQyIiISMQoZERGJGIWMiIhEjEJGREQiRiEjIiIRo5AREZGIMXcPuoZixcy2At8cY7MawO4wNHe8xynqfoXd/ljbHW390dbVAbYVov3iIlz/vtFqIxqfo2h8ho62Xp+hyLYTjs/Qqe5++Bzy7q6vIn4BzwZ5nKLuV9jtj7Xd0dYfY92ioP/Ngvj3jVYb0fgcReMzdLT1+gxFtp1IfoZ0uuz4TAn4OEXdr7DbH2u7o60P18+kOIjGewlnG9H4HEXjM1SUdoq7aL2PYv+7SKfLJOLMbJG7a8Y2OW76DJVc6slINDwbdAFS4ukzVEKpJyMiIhGjnoyIiESMQkZERCJGISMiIhGjkJGoM7NLzew5M5tsZhcGXY+UPGbWxsyeNrM3zexXQdcjR6aQkbAwswlmtsXMludbfrGZrTGzdWY2AsDd33b3G4GfA1cFUK4UQ0X8DK1y918CVwK6tbkYU8hIuLwIXJx3gZnFAOOBPkBbYIiZtc2zyf0560WgiJ8hMxsAfAzMiW6ZUhQKGQkLd58L7Mi3uDuwzt03uHsGMAkYaCF/A95198+jXasUT0X5DOVs/467nwFcG91KpSjKB12AlGoNgY15XqcCPYDbgfOBGmbWwt2fDqI4KREK/AyZWRJwOVARmB79sqSwFDISSVbAMnf3ccC4aBcjJdKRPkPJQHJ0S5HjodNlEkmpQKM8r+OBzQHVIiWTPkMlnEJGImkh0NLMmppZLHA18E7ANUnJos9QCaeQkbAws4nAPKCVmaWa2XB3zwRuA2YCq4D/uPuKIOuU4kufodJJA2SKiEjEqCcjIiIRo5AREZGIUciIiEjEKGRERCRiFDIiIhIxChkREYkYhYyIiESMQkZERCJGISMSIDPbG8W2WpjZF/mWVTSzr/LN8yMSNgoZkbJjA9DIzPL+v78J+NDdVwZUk5RyChmRMDGzv5nZLXleP2hmd5vZb8xsec7XnQXs1yTvlMNmdo+ZPZhn3Wozez5n/9fM7Hwz+8TM1ppZ95zthprZAjNLMbNncmaUPIS7ZwPfAk1y9qkM3A08GM6fg0heChmR8JkEXJXn9ZXAImAYocnaegI3mlmnIh63BTAW6AC0Bq4BzgLuAX5vZm1y2j3T3ROBLI48W+SqnGMA3Aq84+5fF7EekULTpGUiYeLuS8ysnpk1AOoCO4FE4H/uvg/AzP4LnA0sKcKhv3L3L3L2XwHMcXfPub7SBOgNdAEWmhlAZWDLEY61itAox3MJhUzPIr1JkSJSyIiE15vAYOAUQj2bw05bFSCTQ88qVMq3/kCe77PzvM4m9H/YgJfc/b5CtLUKOA+4A3jN3X8oxD4ix02ny0TCaxKhibUGEwqcucClZhZnZlWAy4CP8u3zA1DPzGqbWUWgXxHbnAMMNrN6AGZ2kpmdeoRtVwHdgRuA0UVsR6TI1JMRCSN3X2Fm1YBN7v4d8J2ZvQgsyNnkeXdfkm+fg2b2J2A+8BWwuohtrjSz+4H3cu4cO0joVNg3BWy+BmgP/MHddxelHZHjoUnLREQkYnS6TEREIkYhIyIiEaOQERGRiFHIiIhIxChkREQkYhQyIiISMQoZERGJGIWMiIhEzP8BVbSo6xwe3L0AAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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\n", 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" ] @@ -585,26 +625,28 @@ "with h5py.File(\"qgdimension.hdf5\", \"r\") as f:\n", " N_space = np.array(f[\"N-values\"])\n", " V_space = (N_space + 4)/2\n", - " expectations = np.array(f[\"expectation-graph-distance\"])\n", + " expectations = {model: np.array(f[\"expectation-graph-distance-{}\".format(model)]) for model in models}\n", " \n", - " mu = np.mean(expectations, 1)\n", - " sigma = np.std(expectations, 1)\n", - " \n", - " fitfunc = lambda V, c, d_H: c*V**(1/d_H)\n", - " popt, pcov = curve_fit(fitfunc, V_space, mu, sigma=sigma)\n", - " V_space_fit = np.linspace(np.min(V_space)/2, np.max(V_space)*2, 1000)\n", - " \n", - " plt.figure()\n", - " plt.errorbar(V_space, mu, sigma, label=\"Monte Carlo\",\n", - " fmt='.', markersize=10, capsize=4)\n", - " plt.plot(V_space_fit, fitfunc(V_space_fit, *popt),\n", - " label=r\"fit: $c = {:.2f}$, $d_H = {:.2f}$\".format(*popt))\n", - " plt.xlabel(r\"volume $V$\")\n", - " plt.ylabel(r\"$\\mathbb{E}[d_T(X,Y)]$\")\n", - " plt.yscale(\"log\")\n", - " plt.xscale(\"log\")\n", - " plt.legend()\n", - " plt.show()" + " for model in models:\n", + " mu = np.mean(expectations[model], 1)\n", + " sigma = np.std(expectations[model], 1)\n", + "\n", + " fitfunc = lambda V, c, d_H: c*V**(1/d_H)\n", + " popt, pcov = curve_fit(fitfunc, V_space, mu, sigma=sigma)\n", + " V_space_fit = np.linspace(np.min(V_space)/2, np.max(V_space)*2, 1000)\n", + "\n", + " plt.figure()\n", + " plt.title(model)\n", + " plt.errorbar(V_space, mu, sigma, label=\"Monte Carlo\",\n", + " fmt='.', markersize=10, capsize=4)\n", + " plt.plot(V_space_fit, fitfunc(V_space_fit, *popt),\n", + " label=r\"fit: $c = {:.2f}$, $d_H = {:.2f}$\".format(*popt))\n", + " plt.xlabel(r\"volume $V$\")\n", + " plt.ylabel(r\"$\\mathbb{E}[d_T(X,Y)]$\")\n", + " plt.yscale(\"log\")\n", + " plt.xscale(\"log\")\n", + " plt.legend()\n", + " plt.show()" ] }, { diff --git a/Exercise sheet 8/qgdimension.hdf5 b/Exercise sheet 8/qgdimension.hdf5 index 8a015ff..92aa6dc 100644 Binary files a/Exercise sheet 8/qgdimension.hdf5 and b/Exercise sheet 8/qgdimension.hdf5 differ