{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hidden": true }, "outputs": [], "source": [ "options(repr.plot.width = 7, repr.plot.height = 6)\n", "options(jupyter.plot_mimetypes = c('application/pdf', 'image/png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Quickstart\n", "=====\n", "\n", "A short version to achive the above is by using the preprocessed version of the dataset provided with this package. `data(guo)` is already preprocessed (using the method first mentioned), has its threshold set to a constant 15 and is ready to use. Since the platform’s maximum amplification cycles are 40, that number can be used as upper border of the uncertainty range." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "library(destiny)\n", "data(guo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be used directly for diffusion map creation:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DiffusionMap (20 Diffusion components and 428 samples)\n", "eigenvalues: num [1:20] 0.954 0.846 0.798 0.776 0.703 ...\n", "eigenvectors: num [1:428, 1:20] -0.0576 -0.0574 -0.0495 -0.0495 -0.0511 ...\n", " ..colnames: chr [1:20] \"DC1\" \"DC2\" \"DC3\" \"DC4\" ...\n", "optimal_sigma: num [1:428] 7.69 7.63 9.19 6.76 6.35 ...\n", "distance: chr \"euclidean\"" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dm_guo <- DiffusionMap(guo, verbose = FALSE,\n", " censor_val = 15, censor_range = c(15, 40))\n", "dm_guo" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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tuEoxoQuoFFBi0MS/hG+vB0rFtXNLKIYhDvYN1G5oi+ydwwtBl7oXBmPXHm7h8y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", 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YGBffv2jYmJmTFjRteuXdPS0hITE994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\nefJktVp96tSpRYsW3b17Nz4+3sHBIX9f3WeffXblypXRo0fXrl0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q1+tPnTrVo0cPDw+PAnfMk7qQhRBOTk75x5j6+vrOnj37ww8/tLW1\nLfC5lfY3Lhsk/bAKPO3zkJYckuqX/mRydXVt0qTJ8ePHn/0jQ3FDsDM1gh1ekVKlStWrV69X\nr15yubxu3bqenp4nTpzo2rWrh4eH9NVStmxZe3t76bJmge8MX19fKSIU2SenUqmkCChd1X0x\n+b/JjI+lb0Fp+u3x48elVzEmPKljTwgh3Q9Do9Hk7xoxkiaL3Lt37xlvjpOTU61ataZMmdKq\nVau6det27txZWorFYDBIC6nMmDHjFf1cXpHffvtNo9E4OTl9/fXX0rXdhISEr776yt7e3s7O\n7sqVK0UedebMGSHElClTimwdMGCATCZ7xjuZl5dXq1YtlUrVsmVLmUwWExMjbc/MzJRGQ65f\nvz4hIUGhULz77rsFjs3Ozvb397e1tS3QKZiUlCRd0i2ys3Dp0qVCCGl1nkmTJh0/flwmk1Wq\nVEm6e0pISEhUVFTFihWlWdUuLi5qtVomk/Xt29fYRZeYmChd9DdO35E+dQ4ODiVLlpS2e3t7\ny2Syjh07xsbGLlmypPAF3yL5+vp+9NFH7733XpGziEypffv22dnZT/upobgh2JkawQ6viIuL\nS7NmzVatWiX+GEInk8kUCkVQUFDnzp2NWapRo0bSAzc3N2PvgqOjo7EbRmJcf8Tb21v8sXbJ\nPye9hFwul/pIpMeBgYHS19KWLVsK7K/RaDZv3rxx40YhhFqtLl++fOEvsIYNG9rb2z/jopW0\nbLKUGjUajXFGrbe396+//vrgwQMhxLBhw17tj+dlCw4OVqvV+S+nSs6ePatUKps2bVrkUevW\nrRNCbN++vchW6YL7qVOnnvaiUgj+5JNPGjdu7O7unr8pKSnJ0dGxXr16BoOhXLlyNWrUKHDs\n9u3bhRDTp08v/LSxsbFWVlYdO3Ys3OTv7+/p6SndEO/o0aPNmjWztraOjo5+8OCBNETyaZ8x\nGxsblUqlUqmk1XykW/7IZDJpgo6dnZ0QQqlUdu3atUuXLlKvYQF/OfCgcePGS5Yskf5DFe6B\ne4E+uRcj1dmjR4+n/dRQ3BDsTI1gh1ekRo0apUqVys7OrlixovFqUWho6JQpU6pWrSryjWkT\nQqjV6ri4OI1GI10MNS5lJ6lfv76xc65atWpFLl/3dz1tFq00R9XGxsbR0VH6qpYW0tNoNAqF\nQrqqmJKSYmdnJ10a3rNnT/6zPnTokEwm69OnzzPeGSns2tnZ/fLLL1L+S09PX7x4sZ2dnbOz\nszRfeNy4ca/0p/NyRUdHCyEGDhxYZGuvXr2e1vEmReTNmzcXeeC8efOEEGfPnn3a686cOVMI\nERoa2rBhQ09PzwKtXbp0kcvlOTk5FSpUCAwMLNAqrfPytKFsDRo0cHV1LbDx7t27QogPP/xQ\nKuzEiRNKpbJDhw5hYWH5718nKRykbG1tn3ZZX/xxb5UpU6YcO3bseW5897ox1mz8G6zI/mwU\nQ6x+DvxbnThxolevXn5+fm+88Yavr29mZua9e/e2b9++bds26UsuJSWlfv36U6ZMke5NLP2f\nl451cnJKTEyUy+XlypXTaDRpaWnSdinhnT59WlpATghx9epVvV4v9XD8E8Z7l0mMXXdarVYI\nkZmZmZ6eLi1HLE2DyM7OnjZtWoMGDYQQjo6On3/++aNHj4QQO3bskJ4hNzd3xYoVXbp0cXBw\nyL8USwHZ2dmffvqptAZygwYNpJBqZ2c3dOjQbdu2paSk/Pe//xVCvPnmm//wBE0pPDxcCCG9\nOYU1aNDAYDBEREQUbpJWFpSW2SvszJkzCoVCGqNW2OXLl6Uu1cGDB9+5c+fBgwexsbH5d/Dw\n8NDr9XFxcdHR0X5+fgUOT0pKEn/Mvy7Mw8MjKSnJ8Od7l0s/cS8vL6nb+Ny5czqdzs/Pr0uX\nLklJSS1btpR28/T0VCgU0k1KjORy+ZMnT+Lj44t8OSFETEyMXC5fu3ZtixYtpA/h0ygUitcw\n+Wm1WumPpdzcXCm/btq0ydxF4fVgxlBZPNFjh39Or9dLA8vkcnmBwdpyuXzgwIFCiJo1axbu\nw5DL5dJ4IJlMplarS5cuXSCxSaOdXspVpGdnQWnYnPRaKpVKGupeeBWV2rVrnzt3TjpraViV\ndGxgYKD0/B4eHs+4dGgwGPbv3y+E6Nq1qxDigw8+KDBbs27dujKZzNPT88mTJ6/wB/aySel2\n7dq1RbYuX75cCLF///4iWytXrmxnZxcREVFg+6lTpxQKRevWrQsfotfrR40aZfxUGKfdODs7\n37x507hbx44dFQqFtFZO4dqkHrvIyMgiq6pfv37hHjspOI4YMSIpKUmtVlevXl0I0aJFCyHE\nF198Yby3ilqtbtq06bNvOmfsdZY++cZeLuNJGeOss7Nz/gNbtGjxssYhvHTGuCn1r7dq1arI\n9xbFDcHO1Ah2+OdmzZolhKhWrZqVlZVarW7VqlXXrl2Dg4Pz35hL/ZuDGQAAIABJREFUWh5C\nin0ymax58+bz58+PiYmRrmpJ1zqf9oVh/Lb7hx11xq9eY4wTfwwJ6ty5szTTVqPRDB8+XAiR\nfxEKKysr44wNIURQUNCRI0cuXLgghKhdu3atWrXKly/frFmzOXPm/OUNJBYtWiSEOHbsmHRL\n3MaNG2/ZsuXmzZvnzp2bOnWq9J29fPly0/zgXpbLly8LIcaOHWswGI4cOTJw4MCgoKDq1at3\n6dJl9erV0jTh/JErv6NHj1pZWbm7u69evVqaPpKcnLx48WIHBwd7e3vjcsr5TZo0SQjRsGFD\nqVds6NChycnJUhIyZsSEhARbW1svLy+ZTFavXr3Cq89IKw5KS14XEBMTo1QqO3XqVGC7Xq8v\nVaqUn59fTk7OhAkThBA2NjbSh2rXrl3Gz6pCoTh16tS7775b4DPm7+9f4E8U4xCFGzdu5P/P\nMnv2bONMHRcXl/yHFFhtsciBd88ejVf4dnkvi3FwhXRZuWXLln//owQLRLAzNYId/qG0tDSN\nRuPs7Cyln8Iz+IxfZsb0VqJEifbt269fv16n00kD5AtQKpVSzMr/JeTs7PwqBoC7ublJ6ycX\nKf9Ke8HBwe3bt5dKkslk0oyQv3uzga+++koIcerUqczMzI8++qjAUD/p6/xp3UivLb1e7+Pj\n4+rq2rlzZ+lEvLy8/P39pbNTKBR+fn7POHzHjh1Sv5RCoTD+lL28vIrs+7x7965KpapVq5ZW\nq9Xr9fXr11coFOvWrUtOTpY6imQyWfny5Y09x8HBwQkJCYWfRxp7p9FoDh48mH/748eP69Wr\nJ5PJily2Y/r06UKIoUOH5uTkhISESC8hk8mkhbIlP/7449WrV43pyvj5MS7KmH+NEmlLbGxs\nt27dpMcKhUK6/4p0YIGbLD/PRdgCwa5An99LGaL6bNIrDh069G9+jmCZCHamRrDDP5GYmFit\nWrUCv9ZlMln37t2vXLmydOnSwsto5VeiRAlpoQrxR2fe83i58S44ODg3N7dx48aFmz766KMP\nPvhA/PFtKs2T+OGHH8QfHZB+fn5/d4Hf3bt3CyEWLVok/fPOnTs//PDDxIkTp0+f/ssvv7z9\n9tvW1tav6K5ir5RxQFWzZs2MMxKOHDni6uoqhPD29n72SsVSL1337t2bN2/eu3fv5cuXP+1i\n9JIlS4QQO3bskP4ZFRUlTWdu3rz53LlzHR0dVSqVFCj9/PykPx6e9qIXL150dHSUy+WdO3f+\n5ptvVq1aNWrUKKngSZMmFXlIdnZ206ZNhRA1a9ZcvHjx2LFj8+ck6dghQ4ZIH+YC10yNV/aN\nh3h4eEgZyNrausBMWE9PT+lT988/7QWiockcOXLkuT46sHQEO1Mj2OGFnThxwnjBSKJQKGbO\nnCmt8tWwYcPn7Bsw9lpJ+xf+JqtWrdqNGzdmz579z79spJXz8r9E5cqVpStHQoju3bt/9913\nP/30k3RNOTc319XV1djh0aZNm0WLFk2cOFH6p1wuL1269N990zIzM52dnX18fKTV/PM7ffq0\nFDJe0s/HpC5evGi8EhcQENC8efMKFSoIIaysrDp06CCEWLBgwUt5oREjRog/LxMYHx/fu3fv\n/J27ZcqUec7L2ZGRkW3bts3/eZDi4DMO0Wq1o0ePlnqUn0aaPSDFuwIdZvmVKlVK6i0usPLc\nggULWrZsWbjP71+EAXYwItiZ2v+xd95xTV3vH39udiCssMOQHRAUcY+vuLfWVVcdda+6asXa\nisVVR+uos1Wp1EHdo2qt4sLWiZOhEJQtG8KG7Pv747T5pTjqgFy497z/8BXvPbl5ThKST855\nns+DhR3m/QgPD9db2Bt+oLNYrBUrVqAixNd9IaFN21fmGxliOCAwMLCWiHzXbzv9eDabjfqS\nwT+lElKpdNasWchIliTJ7OxsALC3t7958yYArF69umvXrrWu5urqOnPmTHh96tgbQCa3rVq1\nunfvHjqiVqsPHjwoFotFIlFiYmLdvlLG4euvvwaAX3/9dcqUKd7e3lZWVr6+vtOnT4+Pj1ep\nVFZWVp06daqTB0JlOjk5ObWOl5eXX79+vUuXLsji5J2uWVBQEBUVdebMmfj4+Ldcgi0vL//j\njz/Cw8MjIiLMzMwcHR2RkEU/Ejp27Aj/JBLoO6aIxWKkffW/ZFDPBnTb8CDa10Zvknd6kxtC\nYeVsx44dKyoq3uklwNAYLOyMDRZ2mPcgLi6Ow+HoN7zgn2wh/YamfvnkA79d3rUbrCGv7C1R\ni2bNmikUCjSpLl26cLnc27dvo2wnZ2dn5LK2du1aLpfbrVu3jIyMP//88/LlywAwefLkXbt2\nAUCtDK23ZPXq1Wh50tHRsUWLFsjVxdbW9sqVK3X6QhmPkSNHstns1+17vmwg/N5s27YNAM6c\nOfPKs97e3obN64xDZGQkQRBWVlYikYjFYiEzlFogE0R/f3/Dg0jzeXt71zoO/xRhODo6fvXV\nV/pUvNfB5XKbNm36uje/0SAIIiAg4MiRI3XbgBjT2MHCzthgYYd5A4WFhfv27Vu2bNny5cuP\nHTum/xU+fvx49M0hEAicnZ0NP9zfvEX19rxO0tXqSPFO6O/IYrFGjBgxbdo0AGjZsuXp06eL\ni4tv3rwpEAj0PWoBYNWqVQAgEAhEIpG+rysqa923b9+mTZsA4ObNm+/33CYkJMybN69NmzY+\nPj7dunVbu3Yt6sTVSBk1ahSLxVKr1a88GxwcXFfCLjMzk8vltmvX7uWeH8j5efHixXXyQO/E\nmTNnXtd5gs/nv+7NzGazeTyeXgiyWCxU9Mpisd71F9Er/yiMI+8sLS0HDhz4Bh9pDMPBws7Y\nYGGHqUV2dvaNGzdiYmJCQ0NrfbuYm5uHhYXJ5XJHR8e3r3WoW17XMeJ1O7kzZsxIT09H5rGm\npqYcDqd169Z2dnYkSWq12rCwsJfN6mphamqqL8+8fv26mZmZq6trVVXVgAEDuFwusrHFoNTD\nVzYbUCqVFhYWyKa4TkDbvt27d09ISEBHKisrN2zYwOfznZyciouL6+qB3gm1Wn316tUffvhh\n/vz5kyZN+uSTT7hcLkEQXC53w4YNY8aMeXPKKZ/Pj46O1ul0yAfnXd///4lYLEbOyYZV6v95\nL8P2MAh7e3tkSZidnZ2SkvLmmhgMhiRJgvy30zemvkEtC1EnAAzDuXjxYmho6P379/VHrKys\nli9fzufzN27ciEodP+T66EulVssHQ8RiMfKBAwAHBwfUNfU/4XK5arX65eMEQSCHMEdHx/Xr\n1y9ZsgQAbG1tAwMDHz58WFxcjIZlZ2cfP348ISFBq9X6+vr269cvNjY2Ojr64cOHjx49Qnpx\n3rx57u7u0dHRZ86cQQYZ+fn5Q4cOHT58+LFjx97jqaAfsbGxQUFBvXv3/v3332spmG+//TY0\nNHTr1q3I0O7DQYbYqDxWIpFYWlqmpKQolUpvb+9Tp069vK1JFZcvXx49ejR6p7FYLJ1OBwAE\nQZAkyWaztVotGsbj8YYNG7Zhwwa9vWJkZGRYWFhqair6W3B1de3Vq1f37t2bNm3avHnztLS0\nvLw8S0vLioqKdevW3b59u7y8XKvVon1wJCXZbDa6r6mpaYsWLYYOHTpp0iT9arpardbpdHw+\n/8GDBzdv3iwpKVEqlXK5vKamxsbGpl27dv379zf0jFSpVLm5uTwe7w0t0TCY10KhqGQmeMUO\ng9iyZQtBECKRaOLEiXPmzAEA5Ein/zJ4j+2hWiDL1leaL+hLGVDOeC3e22ofdZeXy+Xe3t5o\nIs7Ozo6Oji1btnyb5yQqKsowdYnFYvXu3fvkyZMLFy7kcDgODg4ZGRn1/LI0JpA1zMCBA58+\nfYqOFBQULF68mMViNW/eXJ/LWFfExMTMnDmzXbt2AQEBAwcO3LVrVwO0iamoqPj+++/9/Pz0\n72EvL6+wsLCysrKioqI7d+7Exsa+LuyysrKUlJR3WhIuLy+vo8AxmDoDCztjg4UdhiTJBw8e\nsFisgICAzMxM8p8UutTU1C+//FL/bYSKUl+XLcTn8/9zkwhlFL3ylL5y0BD9d6FhPewrld/r\nmDJlClqTRhAEgWTl8uXL3/7JOX/+vJubW60rt27d+j3qYemNSqWaOHEien4cHBxcXV3Ru6Vt\n27YvXrygOjrqqampeTkvEIOhPXgr1tjgrVgMAIwdO/bw4cMJCQnIu79Zs2YajSYxMTEoKCgu\nLk6n01lYWFRUVKC9pNdhuLv0rrRu3ToxMbGqqup1A6ysrEpKSvT7WfDPltbbPy6Xy0V7Vebm\n5pmZmbXMU96MTqe7dOnSjRs3CgoKJBJJcHBw165dG6O7mBG4devWwYMHY2NjtVqtp6fn4MGD\nhw8fboRuBxgMpmGChZ2xwcIOAwBOTk4SieTevXsKheLevXvDhw8Xi8VnzpyRSqV6/fQGbG1t\nCwsLwUBsvSuurq6VlZU1NTU1NTX6gy4uLllZWeg2ujKLxTIzMysrKwOAwMDA2NhY/WCU5W2Y\nxqQ/hVqRVlVVlZSUoFPnzp0bMGDAe8SJwWAwmHfi/T2rMBjMe5CYmLhs2bK8vLwXL160a9fO\nxsYmODi4sLBQJpOh9LLXCTXD9Sqk6uDt2lAabubqL5KZmSmXywMDAw3PIlXn7u7O5XJJkkRt\nHqKjo5FJnl7VoYuQJKnT6fS5evCPtV5wcLCtra1SqURecUuWLDEzM1u5cuVbPj8YDAaD+RDw\nip2xwSt2jEKpVB44cOD06dOpqanITlYmk6E/Ov0ql0AgYLFY1dXVHA7nDRWsr0QsFsvl8loH\nTU1NVSoVh8NBq3F8Pl+j0SAL05evYLjYpldsYFBUaGJighwWAIDH46lUKnRDo9GgLqv6K/To\n0ePKlStpaWm2trZbtmwJCwvz9PR89OjR9OnTIyMji4uL39DrCYPBYDB1wns69GAwmNeRnp5+\n5syZlJSU8vLys2fPFhcXczgcR0fH8vJytKfZvn37wsLClJQUNF6hUKAbr1R1hllutSAIwnAj\nFWFiYoIy5/h8/tChQ0+fPq1UKl93zVpSkiRJDw8PrVabkZGhf9Dq6mp0g81mI1VHEAS6gU7p\ndeGVK1dYLNaQIUOSk5Nramr8/f3Pnj0rFAq9vLxIkszJycHCDoPBYOobLOwwmLohJibmt99+\nO3XqFCreNDyl0Wj0uWsAcOfOHf1tfaba67LlWCyWpaXly8tyAECS5MvCTn+ksrLy1KlT+kcx\nvLhetOlVHZvNbt68eWxsbFZWllqttrOzKygocHZ25nA46enpaIy+YIIkSYIgmjdv7ujoeOXK\nFUNPO51Ol5WV5efn5+np2bZt27S0NGdn5/LycgAwtOnCYDAYTD2Bt2KNDd6KpRMkSWZlZWVm\nZq5YsQK1NK1FUFBQQUEBanKP0O9mIrhcrouLS1pa2utUnU6ne50h8Mt079592bJlI0eOLC4u\ntra2Ri2z9GdtbW179eqlVqsTEhLy8/MJgnBycho6dOiQIUM8PT3NzMzmzJmzY8cOwwuy2exp\n06aFhIT4+fmhsE1MTKqrq62trdu0aXPhwgW0z9ujR4+oqCgA4PP5tRYIXV1dCYKorq7Ozc3F\npZoYDAZT3+AVOwzmfaiurl67dm14eLi+W4NQKKypqREIBAKBAG25kiT5+eef//7770eOHNGv\nmRmqOgBQq9WpqamvexS0tPaWqk4qlSK3i4qKih07dsyaNSsrKysqKiorK8vMzKxNmzb/+9//\nXueKh3j69KlIJEKlEtOmTfPw8Ojbty/qyLlz586pU6eiibu5ueXm5l64cAEAkIyLiori8/kq\nlUqpVAqFQoVCERER4e7ufv369XXr1lVXVw8cOBCrOgwGgzECeMXO2OAVOxpQXFzcvXv3uLg4\nDw8PgiBSUlL063BOTk58Ph9pNWTPW1FRgcom4B/xp7+OpaVldXU1qmwAgFatWj148OAtYzAz\nMxOLxaWlpQqFwnCRLCAg4LvvvuvXr997zMvR0dHZ2fn+/fuLFi36/vvvDU+pVCqBQGBmZob2\nVRFsNtvc3JzH4xUVFek3avv373/+/PlPP/109OjRP//88/Hjx3k8Hp/Pf/78uZ2d3XtEhcFg\nMJi3B9udYDDvzLRp0+Li4rp27YracoPBOlx2draTkxOHw0F+vKjjkL79w8OHD1HfMESHDh1U\nKhX6cSUSieLi4vRnX+4FboiPj09aWlp6ejoSdtnZ2X/88ce5c+dkMll8fPz7qTowSLl7uUMl\nm81msViotyaLxeJyuVZWVhqNRi6X5+XlpaamOjg4oJHnz58HgH379vXr1+/EiRPDhg378ccf\nKyoqDh069H5RYTAYDObtwcIOg3krCgoKli1bFhQUZG5ufurUKaFQGB0d3bRpUyS/+vfvb25u\njlpy3b9/HzUC5/P56L59+/ZFN9asWWPYhvXatWvwT4vYDh06aLXaiooKdIogCGdn51dGYm9v\n/+eff1pbW+uPSCSSvn37DhgwwMfH50Pm6ObmhkolcnNza5168uSJVqvVl7V6eXkZthpzdXU1\nMTFBm6179+4Vi8UODg7bt29/+vTpiRMnRo8eTRDE/fv3PyQ2DAaDwbwNWNhhMP/NrVu3AgIC\nVq9eHR8fj7SXfkcVrbd5e3tbW1tbWFhYWlrW1NSUl5cPHDhQ72OCalpdXV0PHDhQVFSkvywa\ngM6Wlpa6uLjo0+lQealhDFwuFzV4PXz4sL29fX1Mc/DgwUVFRZaWlqdOnaqV2Ldu3Tr4pzBW\nIBC4u7tnZWXpnVAAoKysDD0VQqGwqqqqXbt2n332ma+vLwCYmJjw+XyUd4jBYDCYegULOwzm\nP8jNzR0wYACSXxKJpGXLlug4m81+9OgRur1ly5a0tLT8/HyhUAgAJEmqVCqJRILOxsXFAcDi\nxYu9vb1rFU/AP9Lw3r17tZQc/OMYzOfze/XqZWlpWVhYGBoa2rVr1/qZKMybN8/FxaWysjIl\nJWXmzJloZ1Yul8+aNevQoUPNmze/e/cuAFRXVz9//lyhUOzduxfdUSaTVVdXo0zBn3/+WalU\n+vn56TP/cnNzFQrFy9u7GAwGg6l7SIxx8ff39/f3pzoKzDswf/589MfyxRdfqFSq7777DgDs\n7OyEQqE+DW7nzp07duzgcP4uMzc1NeXxeG5uboZ/a/qdWVR2aohhOh1BEGfOnImKikJ1Nno8\nPDwiIyPre7IJCQmoDBYATExMnJ2dUbSoXZinpycAtG7dGv7JAnRycnJ2dn5lRqCpqencuXPL\nyspWr14NAEeOHKnv4DEYDAaDq2KNDa6KbXQ0adIkMzOzT58+yOAjOjq6W7duHA5HIBAsX758\n0aJFAGBlZXX06FEWi9WzZ0+SJFGvVX0tgt7rhM1mz5s3j8fjfffdd6/700OlpuXl5Vqt1s7O\nLiQkRCqVuru7+/v7v6Gcog5Bbik7d+588eKFPkg+n//pp5+uWrXK29vb398/ICBg7969+kpY\n+HeHtC+//JLL5Z45cyYmJsbJyamwsNDLy+vx48cvK1oMBoPB1C1Y2BkbLOwaFzqdjsfjabXa\no0ePjhgxAgC0Wq1IJFIoFJMmTdq0aROqJ2Cz2Vqt1tLSsrS09JXXqdUZzLCXl14Subu7jxo1\nKi0trbi42NbWtkuXLmPHjqWwYYNKpXrw4EFOTo61tXXr1q0VCsWPP/64ffv2goICADA3Nx8/\nfnxNTc358+f1Zn4AwGKxevfujcYfOXIkKytLIBA8evQI5dthMBgMpl5p8AbFWnnSrZjEItLB\nt0VzH0dTbHGKMS4sFgutk3l4eKAjbDY7KCjo9u3b+/fv15vuarVaLpdbWlqqV2nt27e/c+eO\nn5+fTCZzcXHZs2dPbm5uSEgIUkVI1bHZbF9fXy8vLwcHhx49egwZMqRBrWnxeLwOHTqg2zdu\n3Bg+fHhBQYG5uTk6ghb2Jk6cGBcX16xZs8LCQjTx4ODga9euodVNkUjk5OSUk5NjYmJC1Sww\nGAyGWVC0BfwK1C+ivp3Yr72fi6RJ8z4z9zyqILVZxydJ///7QOgzctvdYh3VcX4gOMeuIVBS\nUnLp0qWjR4/euHGjpqZGf1yhUJw9e3b16tXLly/ft29fQUEBSZIuLi4AcOHCBf2whQsXAsCb\nuzgAwIABA4qLi/fu3YssTlDhBXIJ4XA4kydPzs/Pp2Dy705mZqaFhYWFhcXBgwfnzp0LAOg5\nMYTH423cuBEA5s+fn5aWNnToUENjF09Pz6ioKKrngcFgMPSnwQi7F7/0tyIAADgmJjwAAPGQ\nbZuGmAEhbjF0xqIlX0wb1tqWBWDaY08W1aF+GFjYUYVSqfz1118/+eQTiURiqMnMzc27d+8e\nHBzs5ORUa8FMIBAsXbp03rx5ANC+fXv9pbZs2YLuiIZxudwuXbogrWNiYmJra8tisf7880/9\n+JSUlEWLFrVu3drDw6NVq1YLFy589uwZFc/BezJt2jS9tO3cuTOq/GWxWLa2tvpnjMfjnTp1\nys7Ork2bNsisuHPnzmFhYePGjUNPEUEQW7ZsoXoqGAwGQ3MaiLBTnJ9sB2DXZ/2fuUodqSi8\nu6GXJRAEYdL7x3TN32N0RRemuwHYTr2gpjTWDwQLO0qIj4+XSqV6xYZ2V3k8Xi0TYH11wogR\nI3755RfkbDJ27Fi0kzhgwIC4uDidToe8ds3MzAzv26RJkyVLlsTGxgoEgl69elE947rE1ta2\nVatW6DZyLenTp09GRgZJkqdPn0bTNzU15fP5Li4uQqGQy+UePHgwLCzMsIcYj8cjCOLevXuU\nTgWDwWBoTgMRdnFf+wB03JTz/0fufu4CIBjzm8ZwWN4P/wMIWJ5k7PDqEizsjE92dra9vT2f\nz0eFpV999dWhQ4emT5+OMuQIgkB+v1wul8VicTgc1ArCz89v+/btAwYMAIA1a9borUxqlaa2\nb98+Pz+/srKSJMmMjIygoCCCIK5du0b1pOsMZMg8efJkkiTlcjnqLVZaWorOpqWlAYCFhYWj\noyOHw0FLoYsWLWrWrBkA2NraIun8ySefoGfV3d1dp2vs+RQYDAbTcGkgBsVZWVlg6u1tYGDq\n7u4O4Nykyb+qJew9PEwA9ebEYN6asLCw/Pz8bdu2PX36VCAQrF27dsyYMbt370ZuHaampl98\n8QUACIVCa2tr1P+UzWYnJibOmTPnzp07HA4nJibmwYMHqK6T/KeQHCm8wsLC1atXf/fddyNH\njpRKpY8fP16/fn39eQgbH6RoUSOKqKgorVar0+n0jV/R8datW+fm5pqZmaHK3/Dw8Pj4eAAo\nLCx88eIFi8WSSCQymczKyiotLW3Pnj2UTQaDwWDoTgMRdq6urlD1+PHz/z9i22vBmtVf9JX8\na1hheno1oObqGMzbodFojh071qFDh3PnzpEkyefzly5dijyHkWNwZWXlsWPHAKC8vLympgYV\nBwwePBgARo0aRRCEVqu9fft28+bNExMTY2Jitm7dumbNml9++SUpKWnZsmXV1dXbtm1buXLl\nyZMn27ZtGxUVFRISQumM6xiBQODm5nb79m2SJDMyMgDAwcFh4cKFx48fB4Bbt24BwLhx45o1\na1ZSUoLuUlpaKhQKkZuxlZVV8+bNN2zYMGnSpODgYABYv349ZZPBYDAY2kPxiuHfoBw7qy7f\n3pRrXjdGVxQ1y5MAk48PVxoztLoGb8UamczMTABAFnQAcPbsWZIkp06dCgAcDicoKAj+Sf8C\ngF9++YUkSVdXV39/fwCYPXt2QkICi8Vis9lvfoinT5+iZqm05OuvvwaAnTt3btq0CQD27duH\nkuf8/PzMzc15PB5qYvsyLBZr6tSplZWVkyZNAgCpVIrEdHp6OtVzwmAwGHrSQFbs+P3WbB1q\nW3p9aSdrkY33Z+f+3U2TTPg1ZNqQltK+P6Zwmi1aMsSUoigxjRHkGHfv3j2U/nXq1Km4uLi8\nvDzUEAx1ylKpVCRJAkCXLl0AwN3dHbnNEQTh7+8vEom0Wm1ycvLrHsLFxQVJHOPMyPgsXrzY\n09Nz7ty5t2/fBoD8/Pz79+8PGjTo2bNn5eXlKpWqsLCw1vR5PB6LxZJKpeHh4aNHj96yZYtY\nLE5OTnZ3dwcA9PRiMBgMps5pIMIOwH7UsYSbW6f3CXLm5GYX/7sbhi722Ibw32LVngNX/nEx\nrBWfohAxjRI+n89ms9PT01H61969ewMDA2NiYhQKhaenZ2xsrH6kQCBAbVJLSkqQi4ePj8/l\ny5fLy8sBICkpiaIZUI+FhcWlS5eCgoLQnvWXX37p4eFx9uxZFos1duxYABg0aJC+pgRp5fnz\n59vY2Mjl8nHjxp07d+7QoUM8Ho8kyaZNm6ILUjcbDAaDoTMNRtgBsO06zN114cGzvIpTE/6t\n3Vidv/7jZnx2bvLZZT0cG1DEmAZPaWlp7969UZFEkyZNOnbsCADt2rUrKioiSdLNzU0ul6PN\nQQBQKpV79uxJS0tLSEhQKBQ8Hs/V1XXcuHHIaBdVCTAWd3f3u3fvnj59unfv3gDA5XJHjRoV\nFxdXWFjI5XLT09PLysp4PB4ArFq1CgA2bdokFovz8/NPnz5NEMSsWbNQ27EnT57Y2tqi9DsM\nBoPB1Dm4V6yxwb1ijcm4ceMiIyMNj3C5XLVa7e3t/ezZM9T+S98EzMzMrKKiQiAQKBQKAHB1\ndc3KyhIKhYMGDTpy5MiDBw+QrR3m119/nTVrFlrIfJmQkJBLly49fvz4dXcXi8U9e/acOnVq\nr1696i1GDAaDYSgNbf1LW5p8dd/pRwY5dtrzX/WZ8MX6iD+elmIJinmJ+/fvL1y4sHfv3t26\ndZs+ffoff/yh/60SHR3966+/EgQxduxYb29vdBCt3j1//hwMjEsQlZWVBEEgVQcAJSUlo0eP\nvnTp0tWrV5s0aYLKLDAA4OnpqXeqAwBLS8tWrVoBAGpQ8f333yOvE0StxmssFsvOzu7EiRO9\ne/eeOHEiyoDEYDAYTJ1BXd3GS8hvre3vwgOAvuEGda+ag0OZrpf7AAAgAElEQVRQpBznPisu\nZzfqrhMkiati6wKdTnfjxo21a9cGBgaiN4e5uTnqwQoA3bt3LywsrK6uRj0SpkyZQpLkzZs3\nCYJwdHQMCAhA+XNI6pma/qsUhyCIFi1aXL16NTs7W61W37t3D8mXo0ePUj3pBoFMJmvfvn2t\nzxCRSISa58bExHTv3h0dRNuyryQ0NDQzM/Ojjz4CgC+++ILqOWEwGAytaDDCTnFzkZQHwLIJ\nHDpvf5yhfCuVXfplzZwhzcQEAMt/6eNGLu2wsPtAYmNjW7RoUUsrDBw4MC8vLz09febMmQDQ\nvn37/fv3o1ObN29Gd1y9ejUAiMXiCRMmEASBhB1BECKRKCQkZMOGDbNnz0b5dm5ubl26dEF5\nYBwOZ9OmTdROuYGQmppqZ2fH4XDmzJnz2WefAcDy5ct9fHzQswoADg4OtdbnDPH390dnPTw8\nSJJUq9WdOnXicDiZmZlUzwyDwWDoQ0MRdqmb/8cFcBt/Mud1PnbqF0c/cQXgd9mWZszA6hws\n7D6E+Ph4CwsLHo83fvx4giCCg4PPnz8/ZswYAJBKpXK5nCTJxYsXA0C3bt2Qnpg3b57+7seP\nHzfsGIskYGpqqn5AcnLy3LlzAwIC7Ozs/P39Z86cGR8fT8E8GyQDBw5ksVhnzpwhSXLkyJFs\nNluhUDx58gR1ZkO8QdjpIQgCdRX77bffAODHH3+kemYYDAZDHxqIsMvZ1BFA0Ovn/DeOKo0c\nJADotavUSFHVC1jYfQidOnXi8XjXrl378ssvAeD+/fvo+LZt2wBg7ty5JElWVlaamJg4ODgQ\nBOHl5eXg4FBeXm54kaSkpDZt2rBYLD6fT2NX4bolJyeHxWJ9/PHH6L99+vSxsLBAt/WdNl6n\n6mp11wWAVatWkf/0mV28eDFls8JgMBja0UCKJ1JTUwF8u3Sxe+Moi5492wDIZK81isXQmsTE\nxJs3b06cOLFr167Jyck8Hk9fpjpnzpw2bdrs379fpVKZmpoGBARUVVWRJPnZZ5/l5eUNHz68\nuLhYf50mTZqkpqbqdLp58+bR2FW4bomNjdXpdH379kX/tbOzKy8vLy0tBYB79+6htEXkFPg2\nhIWFxcXFIQcZ1IsWg8FgGIWm5PntP379cfvuw388LnxFFZky+XJkZORfme9+5QYi7EpKSgD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p/6ZN3v0BGpKwK4iLuhBHdRCY18LhcMaM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\nOwAAACH+HzmjUfswaYkgAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot(dm_guo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "using the annotation shows that the approximation worked" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/pdf": 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7jRGtnraHLDkGjKSEtznqWqsFhF9gMaw4Qi8YxhY0AMP+uId8Ms0JSQnAzK6Bka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bGALWncpNGg2/qtWra+huOSqir3PTTS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\nAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "palette(cube_helix(6))\n", "plot(dm_guo, col_by = 'num_cells',\n", " legend_main = 'Cell stage')" ] } ], "metadata": { "kernelspec": { "display_name": "R", "language": "R", "name": "ir" }, "language_info": { "codemirror_mode": "r", "file_extension": ".r", "mimetype": "text/x-r-source", "name": "R", "pygments_lexer": "r", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 1 }