diff --git a/density_tree.ipynb b/density_tree.ipynb index a376bd1..be8e624 100644 --- a/density_tree.ipynb +++ b/density_tree.ipynb @@ -510,14 +510,6 @@ "output_type": "stream", "text": [ "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (6). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (7). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (8). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (9). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (10). Possibly due to duplicate points in X.\n", " return fit_method(estimator, *args, **kwargs)\n" ] }, @@ -528,11 +520,7 @@ " 3: 0.602943554055511,\n", " 4: 0.8221763769597347,\n", " 5: 1.0,\n", - " 6: 1.0,\n", - " 7: 1.0,\n", - " 8: 1.0,\n", - " 9: 1.0,\n", - " 10: 1.0}" + " 6: 1.0}" ] }, "metadata": {}, @@ -540,7 +528,7 @@ }, { "data": { - "image/png": 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", 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tISEhJCcn8++//+Lv75/hObGxsYwaNcpVJYpIJo4ezd5+1apB6dK5W4s7OX4cdu++9n7ZPX7Z4dYhfz2io6Pp16+f4/7F2dpExHXKls3efjNm5NwZa16werX5Jeu1ZPf4ZYdbh3yZMmVISEhI15aQkEBgYGCmZ/EAfn5++Pn5uaI8EclCkyZQqhScOJH54xf7nps0cW1dVmvSxPzchw+bXTNXyo3j4tYXQzVs2JCVK1ema1uxYgUNGza0qCIRyY5//836sYuz406Zkr++dAXz806dam5fOUtwbh0Xl4b8mTNn2LZtG9u2bQPMIZLbtm3j4MGDgNnV0qVLF8f+PXv2ZN++fQwaNIg///yTt99+m08//ZS+ffu6smwRcdLw4eZZfOnSUL58+scqVICFC6F9e2tqs1r79ubnd9lxMVxo1apVBpDh1rVrV8MwDKNr165G06ZNMzwnMjLS8PX1NSpXrmzMmTPHqfdMSkoyACMpKSlnPoSIXNWGDYbh5WUYYBhLlxpGWpphrFplGPPmmT/T0qyu0D3cyHFxJtcsGyfvKhonL+I6Fy5AVBRs3w5PPAEffmh1RZ7JmVxz6z55EclbXn3VDPiSJWHyZKurEVDIi0gO2b0bRo82t6dMyV/j392ZQl5EbpjdDs88A6mp0LIlPP641RXJRQp5Eblh774LP/wAhQub89FcOTxQrKOQF5EbcvQoDBxobo8dC5UqWVuPpKeQF5Eb8sILkJQEdevCiy9aXY1cSSEvItft88/hs8/MKzRnz85/V7DmBQp5EbkuSUnQu7e5PXAgRERYW49kTiEvItdlyBA4cgSqVoURI6yuRrKikBcRp61ZA9Onm9szZ0IWk8KKG1DIi4hTzp0zx8QDPPVU9uZHF+so5EXEKa+8An/+CSEh5jQG4t4U8iKSbTt2wPjx5vabb0Lx4tbWI9emkBeRbLHZoEcPc6bJ+++Hhx+2uiLJDoW8iGTL22/Dxo0QEADTpmnqgrxCIS8i13TwIAwdam6PH2+uYiR5g0JeRK7KMKBXLzhzBho1gp49ra5InKGQF5Gr+vRT+Ppr8PWFWbPAW6mRp+iPS0SydPKkOQEZmN01NWpYW484TyEvIlkaMACOHzfDfcgQq6uR66GQF5FMffcdzJ1rjqKZNQv8/KyuSK6HQl5EMjh7Fp591tzu1cv8wlXyJoW8iGQwahTs22cOlXzlFaurkRuhkBeRdLZsgUmTzO2334bAQGvrkRujkBcRh7Q0c+oCmw06dIC2ba2uSG6UQl5EHKZMga1boVgxmDrV6mokJyjkRQSAvXsvrfA0aRKUKWNtPZIzFPIigmGYo2n+/Rfuugu6d7e6IskpCnkR4YMPYOVKKFQIZszQDJOeRCEvks8dOwb9+pnbI0eaC3OL51DIi+RzffrAP/9AZOSlsBfPoZAXyce+/hr+9z9zZsnZs6FgQasrkpymkBfJp06fhueeM7f79oWoKGvrkdyhkBfJp4YNg0OHICzMnMZAPJNCXiQf2rAB3nzT3J4xA4oUsbYeyT0KeZF85vx5ePppc2x8ly5wzz1WVyS5SSEvks9MnAg7dkCpUpcmIhPPpZAXyUf+/BPGjDG3p041g148m0JeJJ+w2+GZZ8zumnvvhcces7oicQWFvEg+MWsWrFljfsk6fbqmLsgvFPIi+cCRIzBokLk9bhxUrGhtPeI6CnmRfOD55yE5GerXN7cl/1DIi3i4RYtg8WIoUMDssvHxsboicSWFvIgHS0y8dOY+aBDUrm1pOWIBhbyIBxs8GI4ehWrVYPhwq6sRKyjkRTzUjz/CzJnm9syZ5oIgkv8o5EU80Llz5tQFYP5s2tTaesQ6CnkRDzR2LOzebS7GPXGi1dWIlRTyIh5m+3aYMMHcnjYNihWztByxmEJexIPYbNCjB6SlwQMPQPv2VlckVlPIi3iQadNg0yYIDIS33rK6GnEHLg/5adOmERYWRqFChWjQoAGbNm3Kct8LFy4wevRoqlSpQqFChYiIiGDZsmUurFYk7/jrLxg61NyeMAHKl7e2HnEPLg35+fPn069fP2JiYtiyZQsRERG0bNmSY8eOZbr/sGHDmDFjBm+++SZ//PEHPXv25MEHH2Tr1q2uLFvE7RmGuV5rSgrccYc526QIgJdhGIar3qxBgwbUq1ePt/77PdJutxMaGsoLL7zAkCFDMuxfrlw5Xn75ZXr37u1oe+ihh/D39+ejjz7K1nsmJycTFBREUlISgYGBOfNBRNzM//4HnTqBry/8+iuEh1tdkeQmZ3LNZWfy58+f55dffqFFixaX3tzbmxYtWrB+/fpMn5OamkqhK67g8Pf3Z+3atVm+T2pqKsnJyeluIp7sxAl48UVze9gwBbyk57KQP3HiBDabjZCQkHTtISEhxMfHZ/qcli1bMnnyZOLi4rDb7axYsYJFixZx9OjRLN8nNjaWoKAgxy00NDRHP4eIu+nf3wz6W281pzEQuZxbj66ZOnUqN998M+Hh4fj6+vL888/TvXt3vL2zLjs6OpqkpCTH7dChQy6sWMS1VqyADz4wFwCZPdvsrhG5nMtCvlSpUvj4+JCQkJCuPSEhgTJlymT6nNKlS/P555+TkpLCX3/9xZ9//knRokWpXLlylu/j5+dHYGBgupuIJ0pJgWefNbeffx5uv93aesQ9uSzkfX19iYqKYuXKlY42u93OypUradiw4VWfW6hQIcqXL09aWhqfffYZ7dq1y+1yRdzeyJGwfz+EhpqrPYlkpoAr36xfv3507dqVunXrUr9+faZMmUJKSgrdu3cHoEuXLpQvX57Y2FgANm7cyOHDh4mMjOTw4cOMHDkSu93OoIvrmInkU7/8ApMnm9vvvAMBAdbWI+7LpSHfsWNHjh8/zogRI4iPjycyMpJly5Y5vow9ePBguv72c+fOMWzYMPbt20fRokVp3bo1H374IcU0GYfkYxcumFMX2O3w6KPQpo3VFYk7c+k4eStonLx4mokTzVE0xYvDzp1wxYA1yQfccpy8iNy4PXsgJsbcnjxZAS/XppAXySMMwxxNc+4cNG8OXbtaXZHkBQp5kTxi7lz4/nvw94cZM8yx8SLXopAXyQMSEswrWwFGjYIqVaytR/IOhbxIHvDSS3DqFNSpA337Wl2N5CUKeRE399VXMH8++PiYUxcUcOnAZ8nrFPIibuz0aXOeeIB+/eC226ytR/IehbyIGxs6FP7+GypXNqcxEHGWQl7ETa1fb67ZCuZomsKFra1H8iaFvIgbOn/enLrAMKBbN7hsrR0RpyjkRdzQ+PHwxx9QujS89prV1UheppAXcTM7d16aOviNN6BkSWvrkbxNIS/iRux2ePpps7umdWvo2NHqiiSvU8iLuJEZM+Cnn6BIEXOeeE1dIDdKIS/iJg4fvrQQd2ws3HSTtfWIZ1DIi7gBw4Devc2Lnxo0gF69rK5IPIVCXsQNLFoEX3xhTlkwe7Y5hYFITlDIi1js1Cl4/nlzOzoaata0th7xLAp5EYsNGgTx8XDLLeY0BiI5SSEvYqHVq83uGYBZs6BQIUvLEQ+kkBexyL//wjPPmNvPPgtNmlhbj3gmhbyIRcaMgbg4KFsWJkywuhrxVAp5EQv8+iu8+qq5/fbbEBRkbT3iuRTyIi5ms5lTF6SlQfv28MADVlcknkwhL+Jib74JP/9snr2/+abV1YinU8iLuNCBA/Dyy+b2xIlQrpyl5Ug+oJAXcRHDgJ494exZ+L//MxcFEcltToV8WloakyZN4rn/Vhbeu3cv33//fa4UJuJp5s2D5cvBzw9mzgRvnWKJCxRwZufnn38em83G2rVrAShZsiQdO3Zk8+bNuVKciKc4cQL69DG3hw83r24VcQWnQn7Dhg1s27aNOnXqAFCsWDEuXLiQK4WJeJJ+/cygr1ULBg60uhrJT5z6hbHQFddc22w27HZ7jhYk4mmWL4cPPzQXAJk1C3x9ra5I8hOnQr527dp89NFH2O129uzZQ8+ePWnWrFkulSaS96WkmF+2Arz4ojlXvIgrORXykydPZs2aNcTHx9O4cWO8vb2ZoOuxRbI0YoQ5bPKmm2DsWKurkfwo233yNpuNMWPGMGPGDGbMmJGbNYl4hJ9/hilTzO3p06FoUUvLkXwq22fyPj4+rFq1KjdrEfEYFy6YUxfY7dCpE7RqZXVFkl851V3TunVrxo0bx5EjR0hOTnbcRCS9SZPMSchKlrx0Ni9iBS/DMIzs7uydydUbXl5e2Gy2HC0qJyUnJxMUFERSUhKBgYFWlyMeymaDNWvg6FFz+6mn4Px5eP996NLF6urE0ziTa06Nk9dwSZGMFi2Cl16Cv/9O3167NnTubE1NIhc5FfIAhw4dYs2aNQA0bdqU8uXL53hRInnFokXw8MPmvDRX2r4dFi82pxMWsYpTffJffPEFderU4dNPP2XBggXUqVOHL7/8MrdqE3FrNpt5Bn+1Ds8+fcz9RKzi1Jn8qFGj2LBhA1WrVgVgz549dOjQgbZt2+ZKcSLubM2ajF00lzMMOHTI3E/XDIpVnDqTt9lsjoAHqFq1qvrpJd86ejRn9xPJDU6FfHBwMLNnz8Zut2O323n33XcpXbp0btUm4tbKls3Z/URyg1MhP336dGbPno2/vz/+/v7Mnj2b6dOn51ZtIm6tSROoUCHrx728IDTU3E/EKk71yVepUoUNGzZw5swZAIrqOm3Jx3x8YOpUeOihjI95eZk/p0wx9xOxilNn8jNnzuSff/6haNGiFC1alJMnTzJr1qzcqk3E7RUvnnl7hQqwcKGGT4r1nLriNTIykm3btqVrq1OnDlu3bs3punKMrniV3GIYcMcdsG6dOZ1wx47ml6xly5pdNDqDl9ySa1e8Zvb/gTtPaSCSm5YuNQO+UCFzSb9y5ayuSCQjp7prypYty6effuq4P3/+fMpq6IDkQ3Y7DBtmbj//vAJe3JdT3TU7d+7kgQceIDU1FYDChQvzxRdfcPPNN+dagTdK3TWSGz77zJzOoGhR2L8fSpWyuiLJT3Ktu6Z69er88ccf7Nq1C4BbbrkFH3U8Sj5js5ndMwB9+yrgxb051V3z888/k5qaSo0aNdixYweDBw/myJEjTr3htGnTCAsLo1ChQjRo0IBNmzZddf8pU6Zwyy234O/vT2hoKH379uXcuXNOvadITpo3D3buNEfW9OtndTUiV+dUyPfo0QM/Pz/i4uJ4+eWXKViwIN27d8/28+fPn0+/fv2IiYlhy5YtRERE0LJlS44dO5bp/vPmzWPIkCHExMSwc+dO3n33XebPn8/QoUOdKVskx1y4ACNHmtsDB0KxYlZWI3JtToW8j48PPj4+LF26lOeee47Y2NgsAzozkydP5umnn6Z79+7UqFGD6dOnU7hwYd57771M91+3bh2NGzemU6dOhIWFcc899/DYY49d8+xfJLfMmQP79kFwMLz4otXViFybUyGfmppKQkICX375Jc3+m1Yvu0Moz58/zy+//EKLFi0uvbm3Ny1atGD9+vWZPqdRo0b88ssvjlDft28f33zzDa1bt75qjZcvTajlCSWnnDsHY8aY20OHQpEi1tYjkh1OhXzfvn255ZZbCAoK4rbbbmPv3r0Uz+qSvyucOHECm81GSEhIuvaQkBDi4+MzfU6nTp0YPXo0d9xxBwULFqRKlSo0a9bsqt01sbGxBAUFOW6hoaHZ/4AiVzFjhjm1cIUK8OyzVlcjkj1O98knJiaycOFCAMLCwlixYkWuFAawevVqXnnlFd5++222bNnCokWL+Prrrxlz8XQqE9HR0SQlJTluhw4dyrX6JP9ISYFXXjG3hw83L4ASyQucXv7vchf76LOjVKlS+Pj4kJCQkK49ISGBMmXKZPqc4cOH07lzZ3r06AFArVq1SElJ4ZlnnuHll1/OdGFxPz8//Pz8nPwkIlf3xhtw7BhUqQJOjDUQsZxTZ/I3wtfXl6ioKFauXOlos9vtrFy5koYNG2b6nLNnz2YI8ov/qThxDZfIDUlMhIkTze2RI6FgQSurEXHODZ3JO6tfv3507dqVunXrUr9+faZMmUJKSopjGGaXLl0oX748sbGxALRt25bJkydTp04dGjRowJ49exg+fDht27bVRVjiMpMnm0FfowY89pjV1Yg4x+mQP3r0KLt27aJZs2akpaVht9vx9fXN1nM7duzI8ePHGTFiBPHx8URGRrJs2TLHl7EHDx5Md+Y+bNgwvLy8GDZsGIcPH6Z06dK0bduWcePGOVu2yHU5fhxef93cHj1aM0tK3uPU3DULFy6kf//+eHl5ceDAAX799Veio6P55ptvcrPGG6K5a+RGDBgAkybBbbfB5s2XFgMRsZIzueZUn3xsbCxbtmxxDJuMiIjgr7/+uv5KRdzYkSMwbZq5PXasAl7yJqeveC1ZsmS6tux21YjkNePGmRdANWoE995rdTUi18epkA8ICCAhIQGv/05pVq5cSYkSJXKlMBErHTgAF1e2HDdOZ/GSdzn1xev48eNp1aoV+/bt44477mD//v18/fXXuVWbiGVGjzYnI2vRAv6bwUMkT3Lqi1eApKQk1q1bh2EYNGrUiGJuPg2fvngVZ+3aZQ6XtNthwwZo0MDqikTSy7UvXnv16kVQUBCtWrWidevWFCtWjF69et1QsSLuJibGDPi2bRXwkvc5FfIbNmzI0LZu3bocK0bEar/9BvPnm9tXmSJJJM/IVp/8/Pnz+eSTT9i/fz/t27d3tCclJVFE862KB7m4rF+HDhARYW0tIjkhWyEfHh5Ou3bt2LJlC+3atXO0BwYG0rx581wrTsSVNm6EJUvA2xtGjbK6GpGcka2Qj4iIICIiAh8fHzp37pzusWXLlnGvBhGLBxg2zPzZpQuEh1tbi0hOcapP/vWLk3hcRuutiidYvRq++86cYTImxupqRHJOts7kd+/ezZ9//klSUhJLlixxtCclJXH27NlcK07EFQzj0ll8jx4QFmZpOSI5Klshv379eubOncuxY8fSnc0HBgYyadKkXCtOxBWWLYOffjJXe7oY9iKewqmLod59912eeuqp3Kwnx+liKLkaw4C6dWHLFujfH157zeqKRK4t1y6G6tKlC5MmTXJcALV3716+//77669UxGKLF5sBX7QoDB5sdTUiOc+puWteeOEFbDYba9euBaBkyZJ07NiRzZs350pxIrnJZrs0Lr5PHyhd2tJyRHKFUyG/YcMGtm3bRp06dQAoVqwYFy5cyJXCRHLbJ5/AH39AsWJmV42IJ3Kqu6ZQoULp7ttsNux2e44WJOIKFy5cGio5aJAZ9CKeyKmQr127Nh999BF2u509e/bQs2dPmmkeVsmD5s6FvXshOBheeMHqakRyj1MhP3nyZNasWUN8fDyNGzfG29ub8ePH51ZtIrni3DlzvniA6GjzS1cRT+X0fPJ5jYZQypXeeANeegnKl4c9e8zx8SJ5iTO55tQXrx988EGm7V26dHHmZUQsk5JiLucH5sgaBbx4OqdC/ssvv3Rsnzt3jrVr13L77bcr5CXPePNNOHYMKleGJ5+0uhqR3OdUyC9YsCDd/f379/Pyyy/naEEiuSUpCSZONLdHjjQnIxPxdE598XqlSpUq8fvvv+dULSK5avJkOHUKqleHTp2srkbENZw6k798BkqbzcbGjRvx8/PL8aJEctqJE2bIgzmyxsfH2npEXMWpkL98BsoCBQpQtWpV5l9cEFPEjU2cCGfOQJ06cNkKliIez6mQX7VqVW7VIZJrjh6Ft94yt8eONZf3E8kvnAp5ML98XbFiBQAtW7bkoYceyvGiRHLSuHHw77/QsCG0amV1NSKu5dQ5zejRo4mNjaVGjRrceuutxMbGMnbs2NyqTeSG/fUXzJxpbo8bB15e1tYj4mpOXfFau3ZtNmzYQOHChQFISUmhYcOG/Pbbb7lW4I3SFa/521NPwXvvQfPm5hquIp4g1xYNMQzDEfAARYoUwcNnRZA8bPdueP99c1u/cEp+5VSffP369encuTNPP/00YC4HWL9+/VwpTORGxcSYC4Pcdx/cfrvV1YhYw6numpSUFEaPHs3KlSsBaNGiBcOHD6dIkSK5VuCNUndN/vTbbxARYW5v3QqRkZaWI5Kjcm2CsiJFijBhwoQbKk7EFUaMMH926KCAl/zNqZBPS0vjs88+Y+/evaSlpTnaR1z8FyXiBjZtgi++MMfDjxpldTUi1nIq5B999FHi4+OpX78+ProuXNzUxcW5O3eG8HBraxGxmlMhv337dv7880+8NNhY3NSPP8K330KBApfWcBXJz5waQhkaGsr58+dzqxaRG2IYcHHm6x49oFIla+sRcQfZOpN/4403AKhatSrNmjXjwQcfpNBlS+q8+OKLuVOdiBO+/RbWrjVXexo2zOpqRNxDtkJ+69atju3w8HB27tzpuK+uG3EHhnEp2Hv1MtdvFREt5C0eYvFicwrhIkVg/34oXdrqikRyT46Pk798sZDM3H///dmvTiSH2WyXRtT06aOAF7lctkL+8sVCruTl5aWQF0vNnw+//w7FisGAAVZXI+JeshXyWixE3NWFC5eGSg4caAa9iFySrZCPi4vj5ptvznJK4dq1a+doUSLZ9f77sGeP2UWjQV4iGWUr5Pv27ctXX31Fu3btMjzm5eXFvn37crwwkWtJTTUX5QaIjoaiRa2tR8QdZSvkv/rqKwD279+fq8WIOGPmTDh0yBwu+dxzVlcj4p6ua0njffv2MWXKFEf4i7haSoq5nB+Y4+MvuzZPRC6TrZBv0aIF27ZtA+DIkSPUrVuX5cuXM2DAAE09LJaYNg0SEsypC5580upqRNxXtkL+8OHDRP43Kfe8efNo2rQpS5cuZf369Xz88ce5WZ9IBklJcPHcYuRI8PW1tBwRt5atkPf393dsr1u3jtatWwNQvHhxChRwaiJLAKZNm0ZYWBiFChWiQYMGbNq0Kct9mzVrhpeXV4ZbmzZtnH5f8Qyvvw7//GNOI/z441ZXI+LeshXy3t7e/P3335w5c4YffviBpk2bOh47e/asU284f/58+vXrR0xMDFu2bCEiIoKWLVty7NixTPdftGgRR48eddx27NiBj48PjzzyiFPvK57h5EmYPNncHj0atKyByNVlK+SHDh1KnTp1uPnmm7nzzjupVq0aYJ7Vh4WFOfWGkydP5umnn6Z79+7UqFGD6dOnU7hwYd57771M9y9RogRlypRx3FasWEHhwoUV8vnUxIlw+rS5pN9DD1ldjYj7y/YEZfHx8SQkJFC7dm3HzJNHjhwhLS2Nm266KVtvdv78eQoXLszChQt54IEHHO1du3YlMTGRL7744pqvUatWLRo2bMjMmTMzfTw1NZXU1FTH/eTkZEJDQzVBmQc4ehSqVIF//4WvvgL12El+5cwEZdkeQlmmTBkiIiLSTS1crly5bAc8wIkTJ7DZbISEhKRrDwkJIT4+/prP37RpEzt27KBHjx5Z7hMbG0tQUJDjFhoamu36xL298ooZ8LffDv99LSQi13Bd4+St8u6771KrVi3q16+f5T7R0dEkJSU5bocOHXJhhZJb/voLZswwt8eNAy1jIJI9zg+NuQGlSpXCx8eHhISEdO0JCQmUKVPmqs9NSUnhk08+YfTF69iz4Ofnh5+f3w3XKu5lzBhzMrK77jJvIpI9Lj2T9/X1JSoqipUrVzra7HY7K1eupGHDhld97oIFC0hNTeWJJ57I7TLFzcTFwdy55vbYsZaWIpLnuPRMHqBfv3507dqVunXrUr9+faZMmUJKSgrdu3cHoEuXLpQvX57Y2Nh0z3v33Xd54IEHKFmypKtLFouNHGkuDNKmDVzjXEBEruDykO/YsSPHjx9nxIgRxMfHExkZybJlyxxfxh48eBBv7/S/YOzatYu1a9fy7bffurpcsdiOHfC//5nbOosXcZ7WeBW39uCD8Pnn8Mgj8OmnVlcj4h5yZQiliKtt3mwGvLc3jBpldTUieZNCXtzWsGHmzyeegOrVra1FJK9SyItbWrMGli+HAgUureEqIs5TyIvbMQx4+WVz+6mnoHJla+sRycsU8uJ2Vqwwz+T9/C512YjI9VHIi1u5/Cy+Vy+oUMHaekTyOoW8uJUvvjBH1RQpAkOGWF2NSN6nkBe3YbfD8OHm9ksvQXCwtfWIeAKFvLiN+fPNK1yDgmDAAKurEfEMCnlxC2lpl4ZKDhwIxYtbW4+Ip1DIi1v44ANztslSpeDFF62uRsRzKOTFcqmpl6YtiI6GgABr6xHxJAp5sdysWXDwIJQrB889Z3U1Ip5FIS+WOnvWXM4PzJE1/v7W1iPiaRTyYqlp0yA+HsLC4Mknra5GxPMo5MUyyckwfry5PXIk+PpaWo6IR1LIi2Vefx3++QfCw83phEUk5ynkxRInT8Lkyeb2qFHg42NtPSKeSiEvlnj1VbO7JiICHn7Y6mpEPJdCXlwuPh7eeMPcHjvWXN5PRHKH/nmJy8XGwr//QoMG0KaN1dWIeDaFvLjUwYMwfbq5PW4ceHlZW4+Ip1PIi0uNGQPnz8Odd0Lz5lZXI+L5FPLiMnFxMGeOuT12rLW1iOQXCnlxmVGjwGaD1q2hUSOrqxHJHxTy4hI7dsC8eea2zuJFXEchLy4xYoS5SPfDD0OdOlZXI5J/KOQl1/3yCyxebI6kuThvvIi4hkJect2wYebPJ56AGjWsrUUkv1HIS65auxaWLYMCBcyZJkXEtRTykmsMA15+2dx+6imoXNnaekTyI4W85JrvvoMffwQ/v0tdNiLiWgp5yRWXn8U/9xxUqGBtPSL5lUJecsWSJfDzz1C4MERHW12NSP6lkJccZ7ebi3IDvPQSBAdbW49IfqaQlxz36aewfTsEBcHAgVZXI5K/KeQlR6WlQUyMuT1gABQvbm09IvmdQl5y1Icfwu7dUKqU2VUjItZSyEuOSU29NG3BkCEQEGBtPSKikJccNHs2/PUXlCsHvXpZXY2IgEJecsjZs5emEB42DPz9ra1HREwKeckRb78N8fEQFmZOYSAi7kEhLzcsORnGjze3Y2LA19faekTkEoW83LCpU+HkSbjlFnM6YRFxHwp5uSH//AOvvWZujxplTiksIu5DIS835NVXze6aiAh45BGrqxGRKynk5brFx8Mbb5jbY8aAt/42ibgd/bOU6zZ+vDl0skEDuO8+q6sRkcyoB1WcYrPBmjWwYwdMm2a2jR1rLtItIu5HIS/ZtmiROR/N339favPzg6Qk62oSkatTd41ky6JF8PDD6QMezPlqHnnEfFxE3I/LQ37atGmEhYVRqFAhGjRowKZNm666f2JiIr1796Zs2bL4+flRrVo1vvnmGxdVK2B20bz0krmkX1b69DH3ExH34tKQnz9/Pv369SMmJoYtW7YQERFBy5YtOXbsWKb7nz9/nrvvvpsDBw6wcOFCdu3axaxZsyhfvrwry8731qzJeAZ/OcOAQ4fM/UTEvbi0T37y5Mk8/fTTdO/eHYDp06fz9ddf89577zFkyJAM+7/33nv8888/rFu3joIFCwIQFhbmypIF+Omn7O139Gju1iEiznPZmfz58+f55ZdfaNGixaU39/amRYsWrF+/PtPnLFmyhIYNG9K7d29CQkKoWbMmr7zyCrar9AukpqaSnJyc7ibXZ80auPdec1bJ7ChbNnfrERHnuSzkT5w4gc1mIyQkJF17SEgI8fHxmT5n3759LFy4EJvNxjfffMPw4cOZNGkSYy/OaZuJ2NhYgoKCHLfQ0NAc/RyezjBg2TJo0gT+7/9g+XLzIqfChbMeJunlBaGh5nNExL249egau91OcHAwM2fOJCoqio4dO/Lyyy8zffr0LJ8THR1NUlKS43bo0CEXVpx32e3mCJl69aBVK1i71pxN8tlnIS7OXNYPMgb9xftTpoCPj0tLFpFscFmffKlSpfDx8SEhISFde0JCAmXKlMn0OWXLlqVgwYL4XJYe1atXJz4+nvPnz+ObyZy2fn5++Pn55WzxHiwtDT75BGJj4Y8/zLbChc1w798fLn7HXbkyLFyYcZx8hQpmwLdv7/LSRSQbXHYm7+vrS1RUFCtXrnS02e12Vq5cScOGDTN9TuPGjdmzZw92u93Rtnv3bsqWLZtpwEv2pabCzJnm9MCdO5sBHxQEL79sLuE3efKlgL+ofXs4cABWrYJ588yf+/cr4EXcmuFCn3zyieHn52fMnTvX+OOPP4xnnnnGKFasmBEfH28YhmF07tzZGDJkiGP/gwcPGgEBAcbzzz9v7Nq1y/jqq6+M4OBgY+zYsdl+z6SkJAMwkpKScvzz5EVnzhjG668bRvnyhmH2wBtGqVKG8corhpGYaHV1IpIdzuSaS4dQduzYkePHjzNixAji4+OJjIxk2bJlji9jDx48iPdlUxmGhoayfPly+vbtS+3atSlfvjwvvfQSgwcPdmXZHiEpyZxr5vXX4cQJs618eRg4EJ5+2uyiERHP42UYV7uOMe9LTk4mKCiIpKQkAgMDrS7H5U6cMPvM33rr0hwzlSvDkCHQpYs594yI5C3O5JomKPNQR46YKzbNmGFOBwxQowYMHQodO2oFJ5H8Qv/UPcz+/TBhAsyZA+fPm21RUeYXqu3aaWEPkfxGIe8hdu40h0HOm3dporAmTcxwv+cezfcukl8p5PO4LVvglVfMC5kufrvSsqUZ7roCVUQU8nnU2rUwbpw5BcFFDz5o9rnXrWtdXSLiXhTyeYhhwIoVZrj/+KPZ5u0Njz0G0dFw663W1ici7kchnwfY7bBkidkt8/PPZlvBgtCtGwweDFWqWFqeiLgxhbwbS0uDTz81v1DdscNs8/eHZ56BAQPMeWNERK5GIe+Gzp+HDz6A8eNh716zLTAQevc2l9kLDra0PBHJQxTybuTsWZg9G1599dJMjyVLQt++ZsAXK2ZpeSKSBynk3UByMrz9tjnz4/HjZlu5cmaXzDPPQJEi1tYnInmXQt5CJ0/C1Knw5puQmGi2VapkfpnarZvmlRGRG6eQt8DRozBpEkyfDikpZlv16uYwyMce07wyIpJzFCcudOAATJwI771nLtoBUKeOeXXqgw9qXhkRyXkKeRf4809zpMxHH12aV6ZxYzPc771X88qISO5RyOeibdvMq1M/++zSvDJ3322G+//9n8JdRHKfQj4XrFtnhvs331xqa9fOnFemfn3r6hKR/Echn0MMA1auNMN99WqzzdvbXKAjOhpq1bK0PBHJpxTyN8gw4MsvzXDftMlsK1jQXFpv8GC4+WZr6xOR/E0hf51sNliwwJw0bPt2s61QIXNR7IEDITTU2vpEREAhnymbDdasMcezly1rLr7h42M+dv68OUpm/HiIizPbAgKgVy9z+oGQEOvqFhG5kkL+CosWwUsvXZo7BszZHidONK9QnTgRDh0y20uUMPd94QUoXtyaekVErkYhf5lFi+Dhhy8Nd7zo77+hU6dL98uUgf79oWdPKFrUtTWKiDhDIf8fm808K78y4C/n4wNTpkCPHmb/u4iIu9OF9P9ZsyZ9F01mbDaoWVMBLyJ5h0L+P0eP5ux+IiLuQCH/n7Jlc3Y/ERF3oJD/T5Mm5iiarOaT8fIyx743aeLaukREboRC/j8+PuYCHpAx6C/enzLl0nh5EZG8QCF/mfbtYeFCKF8+fXuFCmZ7+/bW1CUicr00hPIK7dubM0ZmdcWriEheopDPhI8PNGtmdRUiIjdO3TUiIh5MIS8i4sEU8iIiHkwhLyLiwRTyIiIeTCEvIuLBPH4IpfHf3MHJyckWVyIikjMu5plxtbnR/+PxIX/69GkAQrXoqoh4mNOnTxMUFHTVfbyM7PxXkIfZ7XaOHDlCQEAAXlnNPpaJ5ORkQkNDOXToEIGBgblYYd6jY5M5HZes6dhk7nqPi2EYnD59mnLlyuHtffVed48/k/f29qZChQrX/fzAwED9pcyCjk3mdFyypmOTues5Ltc6g79IX7yKiHgwhbyIiAdTyGfBz8+PmJgY/Pz8rC7F7ejYZE7HJWs6NplzxXHx+C9eRUTyM53Ji4h4MIW8iIgHU8iLiHgwhbyIiAdTyF8hNjaWevXqERAQQHBwMA888AC7du2yuiy38M4771C7dm3HhRsNGzZk6dKlVpfldsaPH4+Xlxd9+vSxuhRLjRw5Ei8vr3S38PBwq8tyG4cPH+aJJ56gZMmS+Pv7U6tWLTZv3pzj76OQv8IPP/xA79692bBhAytWrODChQvcc889pKSkWF2a5SpUqMD48eP55Zdf2Lx5M3fddRft2rXj999/t7o0t/Hzzz8zY8YMateubXUpbuHWW2/l6NGjjtvatWutLsktnDp1isaNG1OwYEGWLl3KH3/8waRJkyhevHjOv5khV3Xs2DEDMH744QerS3FLxYsXN2bPnm11GW7h9OnTxs0332ysWLHCaNq0qfHSSy9ZXZKlYmJijIiICKvLcEuDBw827rjjDpe8l87kryEpKQmAEiVKWFyJe7HZbHzyySekpKTQsGFDq8txC71796ZNmza0aNHC6lLcRlxcHOXKlaNy5co8/vjjHDx40OqS3MKSJUuoW7cujzzyCMHBwdSpU4dZs2blynt5/ARlN8Jut9OnTx8aN25MzZo1rS7HLWzfvp2GDRty7tw5ihYtyuLFi6lRo4bVZVnuk08+YcuWLfz8889Wl+I2GjRowNy5c7nllls4evQoo0aNokmTJuzYsYOAgACry7PUvn37eOedd+jXrx9Dhw7l559/5sUXX8TX15euXbvm7Ju55PeFPKpnz55GxYoVjUOHDlldittITU014uLijM2bNxtDhgwxSpUqZfz+++9Wl2WpgwcPGsHBwcavv/7qaFN3TUanTp0yAgMD1b1nGEbBggWNhg0bpmt74YUXjNtvvz3H30vdNVl4/vnn+eqrr1i1atUNTVXsaXx9falatSpRUVHExsYSERHB1KlTrS7LUr/88gvHjh3jtttuo0CBAhQoUIAffviBN954gwIFCmCz2awu0S0UK1aMatWqsWfPHqtLsVzZsmUz/AZcvXr1XOnOUnfNFQzD4IUXXmDx4sWsXr2aSpUqWV2SW7Pb7aSmplpdhqWaN2/O9u3b07V1796d8PBwBg8ejI+Pj0WVuZczZ86wd+9eOnfubHUplmvcuHGGodm7d++mYsWKOf5eCvkr9O7dm3nz5vHFF18QEBBAfHw8YE7Q7+/vb3F11oqOjqZVq1bcdNNNnD59mnnz5rF69WqWL19udWmWCggIyPCdTZEiRShZsmS+/i5nwIABtG3blooVK3LkyBFiYmLw8fHhscces7o0y/Xt25dGjRrxyiuv0KFDBzZt2sTMmTOZOXNmzr9ZjncA5XFAprc5c+ZYXZrlnnzySaNixYqGr6+vUbp0aaN58+bGt99+a3VZbkl98obRsWNHo2zZsoavr69Rvnx5o2PHjsaePXusLsttfPnll0bNmjUNPz8/Izw83Jg5c2auvI+mGhYR8WD64lVExIMp5EVEPJhCXkTEgynkRUQ8mEJeRMSDKeRFRDyYQl5ExIMp5EVEPJhCXvKctLQ0Ro0aRXh4ODVr1iQyMpJnnnmGxMREVq9eTWRk5HW/9oEDB5g+fXrOFesGRo4cyblz56wuQyyikJc856mnnmLz5s2sX7+eHTt2sHXrVu6++27++eefG37tGwn5tLS0G37/3DBq1CiFfD6mkJc8Zc+ePSxYsIA5c+Y41sP08vLikUceoXLlyun2PXDgAMWKFXPcP3PmDF5eXgD8+++/dOzYkRo1ahAREcE999wDQM+ePdm1axeRkZHcf//9gLm6UZs2bahXrx61a9fmrbfecryml5cXMTEx1KtXj+joaDZs2EBUVBSRkZHUrFmTd955J9PP8fXXX1OvXj0iIiKIjIxk48aNACxfvpzbbruN2rVr07RpU/744w+ADL+h7Nixg7CwsHSfMyYmhqioKKpWrco333zj+DwATZo0ITIykmPHjjl9zCWPy5UZcURyyfz5843atWtn+fiqVasc64ru37/fCAoKcjx2+vRp4+Jf+UWLFhn33HOP47GTJ09meL5hGEZaWpoRFRVl7Ny50zAMw0hJSTFq1aplbNq0yTAMc0K7UaNGOfa///77jXnz5jnu//PPPxlq3LVrl1G6dGnHa54/f95ITEw0EhISjBIlShi//fabYRiG8dFHHxnVq1c37HZ7hrq2b99uVKxY0fE5AWPhwoWGYRjG0qVLjWrVqjn2BYxTp05leczEs+lMXvKliIgIdu7cSa9evZg/fz4FCxbMdL9du3bx+++/8+ijjxIZGUmjRo04ffq04wwb4Mknn3Rs33nnnYwZM4bRo0ezdu1ax28bl1uxYgX33nsv4eHhABQsWJCgoCA2btxIrVq1qFWrFgCPP/44R44c4fDhw9f8PIUKFaJ9+/YANGzYkL1792b/YIhH03zykqfcdtttxMXFcfLkSUqWLHnVfa9clenyfunKlSvzxx9/8P333/Pdd98xaNAgtm3bluE1DMOgRIkSmT52UdGiRR3bffr0oV27dnz33XcMHTqUmjVr8vbbb2f/A17HZwHw8/NzdEX5+PhoNSpx0Jm85ClVq1bloYce4qmnniIxMREwg/izzz5j37596fYtU6YMhmE4zro/+OADx2N///03Xl5e3H///bz22msYhsGhQ4cIDAwkKSnJsd8tt9xCYGAgc+bMcbTt2bMnyy95d+3aRaVKlXj66acZOnQoGzZsyLBPy5YtWb58OX/++ScAFy5cICkpidtvv53t27ezY8cOwFwcvHz58pQvX57KlSvz119/cfz4cQA+/PDDbB+zgICAdJ9J8hedyUue89577zF27FgaNGhAgQIFsNvt/N///R/NmzdPt0ZmgQIFePPNN7nvvvsoWbIkDz/8sOOx7du3Ex0djWEYpKWl0blzZ2rXrk1aWhq33norNWvWpHLlyixZsoSvvvqKPn368Prrr2Oz2ShVqhTz5s3LtLa33nqL77//Hl9fX3x8fJg0aVKGfapWrcqcOXN44oknuHDhAj4+PkyfPp369evz8ccf06VLF9LS0ihevDgLFizAy8uLcuXKMWjQIOrXr09ISAitWrXK9vHq378/d999N4ULF+bbb78lODjYiaMteZ0WDRER8WDqrhER8WAKeRERD6aQFxHxYAp5EREPppAXEfFgCnkREQ+mkBcR8WAKeRERD6aQFxHxYAp5EREP9v95OWfJhUsj0gAAAABJRU5ErkJggg==", "text/plain": [ "
" ] diff --git a/src/cluster_helper.py b/src/cluster_helper.py index ca7317f..32cd957 100644 --- a/src/cluster_helper.py +++ b/src/cluster_helper.py @@ -1,3 +1,4 @@ +import math from typing import Dict import matplotlib.pyplot as plt @@ -7,8 +8,9 @@ from sklearn import cluster, metrics def get_best_clusters_num( - X: DataFrame, random_state: int, max_clusters: int = 10 + X: DataFrame, random_state: int, max_clusters: int | None = None ) -> Dict[int, float]: + max_clusters = int(math.sqrt(len(X)) + 0.5) + 1 silhouette_scores: Dict[int, float] = {} for cluster_num in range(2, max_clusters + 1): kmeans = cluster.KMeans(n_clusters=cluster_num, random_state=random_state) diff --git a/viscosity_tree.ipynb b/viscosity_tree.ipynb index 730a6b0..8c39620 100644 --- a/viscosity_tree.ipynb +++ b/viscosity_tree.ipynb @@ -509,14 +509,6 @@ "output_type": "stream", "text": [ "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (6). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (7). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (8). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (9). Possibly due to duplicate points in X.\n", - " return fit_method(estimator, *args, **kwargs)\n", - "c:\\Users\\user\\Projects\\python\\fuzzy\\.venv\\Lib\\site-packages\\sklearn\\base.py:1473: ConvergenceWarning: Number of distinct clusters (5) found smaller than n_clusters (10). Possibly due to duplicate points in X.\n", " return fit_method(estimator, *args, **kwargs)\n" ] }, @@ -527,11 +519,7 @@ " 3: 0.7018993361356377,\n", " 4: 0.8249121250065079,\n", " 5: 1.0,\n", - " 6: 1.0,\n", - " 7: 1.0,\n", - " 8: 1.0,\n", - " 9: 1.0,\n", - " 10: 1.0}" + " 6: 1.0}" ] }, "metadata": {}, @@ -539,7 +527,7 @@ }, { "data": { - "image/png": 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", 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", 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