mysystem_rpca.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import necessary packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import qiime2 as q2\n",
    "from deepphylo.rpca import rclr,rpca_table\n",
    "from deepphylo.mysystem_rpca import import_and_process_data, Phylo_RPCA, RPCA_PCA\n",
    "from deepphylo.plot import plot_2d\n",
    "import pandas as pd\n",
    "%matplotlib inline"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Configure paths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "table_path = 'data/skin_clustering/urbmerged.biom'\n",
    "metadata_path = 'data/skin_clustering/10333_20190808-130957.txt'\n",
    "tree_path = 'data/skin_clustering/tree.qza'\n",
    "taxonomy = q2.Artifact.load('data/skin_clustering/taxonomy.qza')    "
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Preprocessing to obtain information on the table, metadata, and evolutionary tree."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "table, bt, metadata, tree = import_and_process_data(table_path, metadata_path, tree_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                           TACGTAGGTGGCAAGCGTTATCCGGAATTATTGGGCGTAAAGCGCGCGTAGGCGGTTTCTTAAGTCTGATGTGAAAGCCCACGGCTCAACCGTGGAGGGT  \\\n",
      "10333.Manaus.3346.1313696                                               34.0                                                      \n",
      "10333.Manaus.3546.1313272                                              142.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACAGAGGGTGCGAGCGTTAATCGGAATTACTGGGCGTAAAGCGAGTGTAGGTGGCTCATTAAGTCACATGTGAAATCCCCGGGCTTAACCTGGGAACTG  \\\n",
      "10333.Manaus.3346.1313696                                              184.0                                                      \n",
      "10333.Manaus.3546.1313272                                              506.0                                                      \n",
      "10333.Manaus.3708.1313460                                             1038.0                                                      \n",
      "\n",
      "                           TACAGAGGGTGCAAGCGTTAATCGGAATTACTGGGCGTAAAGCGCGCGTAGGTGGTTCGTTAAGTTGGATGTGAAATCCCCGGGCTCAACCTGGGAACTG  \\\n",
      "10333.Manaus.3346.1313696                                              548.0                                                      \n",
      "10333.Manaus.3546.1313272                                              564.0                                                      \n",
      "10333.Manaus.3708.1313460                                             1653.0                                                      \n",
      "\n",
      "                           TACGGAGGGTGCAAGCGTTATCCGGATTTATTGGGTTTAAAGGGTCCGTAGGCGGATCTGTAAGTCAGTGGTGAAATCTCACAGCTTAACTGTGAAACTG  \\\n",
      "10333.Manaus.3346.1313696                                               32.0                                                      \n",
      "10333.Manaus.3546.1313272                                               55.0                                                      \n",
      "10333.Manaus.3708.1313460                                               94.0                                                      \n",
      "\n",
      "                           TACGTAGGGTGCGAGCGTTGTCCGGAATTATTGGGCGTAAAGAGCTTGTAGGCGGTTTGTCGCGTCTGCTGTGAAAGACCGGGGCTTAACTCCGGTTCTG  \\\n",
      "10333.Manaus.3346.1313696                                               22.0                                                      \n",
      "10333.Manaus.3546.1313272                                               11.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGCGCAAGCGTTGTCCGGAATTATTGGGCGTAAAGAGCTCGTAGGCGGTTTGTCGCGTCTGCTGTGAAAGCCCGGGGCTTAACCCCGGGTGTG  \\\n",
      "10333.Manaus.3346.1313696                                               61.0                                                      \n",
      "10333.Manaus.3546.1313272                                              383.0                                                      \n",
      "10333.Manaus.3708.1313460                                               90.0                                                      \n",
      "\n",
      "                           TACGTAGGGTGCGAGCGTTATCCGGAATTATTGGGCGTAAAGAGCTCGTAGGCGGTTTGTCGCGTCTGTCGTGAAAGTCCGGGGCTTAACCCCGGATCTG  \\\n",
      "10333.Manaus.3346.1313696                                              178.0                                                      \n",
      "10333.Manaus.3546.1313272                                              305.0                                                      \n",
      "10333.Manaus.3708.1313460                                             1960.0                                                      \n",
      "\n",
      "                           TACGTAGGGCGCGAGCGTTATCCGGAATTATTGGGCGTAAAGAGCTCGTAGGCGGTTTGTCGCGTCTGCTGTGAAAGCCCGGGGCTTAACCCCGGGTGTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGGAGGGTGCAAGCGTTAATCGGAATTACTGGGCGTAAAGCGCACGCAGGCGGTCTGTTAAGTCAGATGTGAAATCCCCGGGCTTAACCTGGGAACTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                3.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACAGAGGGTGCAAGCGTTAATCGGATTTACTGGGCGTAAAGCGCGCGTAGGCGGCTAATTAAGTCAAATGTGAAATCCCCGAGCTTAACTTGGGAATTG  \\\n",
      "10333.Manaus.3346.1313696                                                8.0                                                      \n",
      "10333.Manaus.3546.1313272                                              707.0                                                      \n",
      "10333.Manaus.3708.1313460                                             1020.0                                                      \n",
      "\n",
      "                           ...  \\\n",
      "10333.Manaus.3346.1313696  ...   \n",
      "10333.Manaus.3546.1313272  ...   \n",
      "10333.Manaus.3708.1313460  ...   \n",
      "\n",
      "                           TACGTAGGGGGCAAGCGTTGTCCGGATTTACTGGGCGTAAAGAGCGTGTAGGCGGCCACGCAGGTCTGTTGTGAAAACTGGAGGCTCAACCTCCAGACGT  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGTGGCAAGCGTTGTCCGGAATTATTGGGCGTAAAGCGCGCGCAGGCGGTCAGGTAAGTCTGATGTTAAAGCCCGGGGCTCAACCCCGGTTCGC  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGGGCTAGCGTTGTCCGGAATCATTGGGCGTAAAGCGCGCGTAGGCGGCCCGGTCAGTCCGCTCTGAAAGTCCAGGGCTCAACCCTGGAAAGC  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGGGCAAGCGTTGTCCGGATTTATTGGGCGTAAAGCGCGCGCAGGCGGCTTACTAAGTCTGATGTGAAAGCCCACGGCTCAACCGTGGAGGGC  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGGTCGAGCGTTGTCCGGAGTTACTGGGCGTAAAGCGTGCGCAGGCGGCGCATCGCGCTCGGCGTGAAAGCCCCCGGCTCAACCGGGGAGGGG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGGAGGGTGCGAGCGTTAATCGGAATCACTGGGCGTAAAGGGCACGCAGGCGGTGACTTAAGTGAGGTGTGAAAGCCCCGGGCTTAACCTGGGAATTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGGAGGGTGCAAGCGTTATCCGGATTTATTGGGTTTAAAGGGTGCGTAGGCGGACTTATAAGTCAGTGGTGAAAGCCTGTCGCTTAACGAGAGAACTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGTGCGAGCGTTGTCCGGAATTATTGGGCGTAAAGGGCGCGTAGGCGGTTTGTCGCGTCGGGAGTGAAAACCAGGTGCTTAACACGTGGCTTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGTGCAAGCGTTGTCCGGAATTATTGGGCGTAAAGAGCGCGTAGGCGGTTTGTTGCGTCGGCTGTGAAAACCTGAGGCTCAACCTGAGGCCTG  \\\n",
      "10333.Manaus.3346.1313696                                                0.0                                                      \n",
      "10333.Manaus.3546.1313272                                                0.0                                                      \n",
      "10333.Manaus.3708.1313460                                                0.0                                                      \n",
      "\n",
      "                           TACGTAGGGTGCGAGCGTTGTCCGGAATTACTGGGCGTAAAGAGCGCGTAGGCGGTTTGTCGCGTCGTCTGTGAAATTCTGCAACTCAATTGGAGGCGTG  \n",
      "10333.Manaus.3346.1313696                                                0.0                                                     \n",
      "10333.Manaus.3546.1313272                                                0.0                                                     \n",
      "10333.Manaus.3708.1313460                                                0.0                                                     \n",
      "\n",
      "[3 rows x 1443 columns]\n"
     ]
    }
   ],
   "source": [
    "print(table.view(pd.DataFrame).head(3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "table_matrix = bt.to_dataframe().T\n",
    "table_matrix_rclr = rclr(table_matrix)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Abundance based RPCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from deepphylo.mysystem_rpca import RPCA_with_abundance\n",
    "table_matrix_rclr, df_table_abundance_rclr, sample_loading_abundance_3d, colors = RPCA_with_abundance(bt,table_matrix_rclr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
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       "      <th>10333.Manaus.3346.1313696</th>\n",
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       "    <tr>\n",
       "      <th>10333.Manaus.3546.1313272</th>\n",
       "      <td>-0.088815</td>\n",
       "      <td>0.020992</td>\n",
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       "      <th>10333.Manaus.3708.1313460</th>\n",
       "      <td>-0.088330</td>\n",
       "      <td>-0.158770</td>\n",
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       "    <tr>\n",
       "      <th>10333.Manaus.3318.1313403</th>\n",
       "      <td>-0.090491</td>\n",
       "      <td>-0.019124</td>\n",
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       "      <th>10333.Manaus.3372.1313934</th>\n",
       "      <td>-0.051201</td>\n",
       "      <td>0.064899</td>\n",
       "      <td>-0.157518</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>10333.Iqu.1038.huma</th>\n",
       "      <td>0.002337</td>\n",
       "      <td>-0.030238</td>\n",
       "      <td>0.077053</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.1127.huma</th>\n",
       "      <td>0.041955</td>\n",
       "      <td>0.133582</td>\n",
       "      <td>0.047127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.1086.huma</th>\n",
       "      <td>-0.044493</td>\n",
       "      <td>-0.046280</td>\n",
       "      <td>0.106294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Man.1810.huma</th>\n",
       "      <td>-0.053563</td>\n",
       "      <td>0.047922</td>\n",
       "      <td>-0.088778</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.937.huma</th>\n",
       "      <td>-0.064602</td>\n",
       "      <td>-0.153718</td>\n",
       "      <td>-0.086701</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>164 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                PC1       PC2       PC3\n",
       "10333.Manaus.3346.1313696 -0.062700  0.032890 -0.095675\n",
       "10333.Manaus.3546.1313272 -0.088815  0.020992  0.001975\n",
       "10333.Manaus.3708.1313460 -0.088330 -0.158770 -0.111032\n",
       "10333.Manaus.3318.1313403 -0.090491 -0.019124 -0.080730\n",
       "10333.Manaus.3372.1313934 -0.051201  0.064899 -0.157518\n",
       "...                             ...       ...       ...\n",
       "10333.Iqu.1038.huma        0.002337 -0.030238  0.077053\n",
       "10333.Iqu.1127.huma        0.041955  0.133582  0.047127\n",
       "10333.Iqu.1086.huma       -0.044493 -0.046280  0.106294\n",
       "10333.Man.1810.huma       -0.053563  0.047922 -0.088778\n",
       "10333.Iqu.937.huma        -0.064602 -0.153718 -0.086701\n",
       "\n",
       "[164 rows x 3 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_loading_abundance_3d"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## RPCA and Evolutionary Tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "tntree, sample_loading_phyloRPCA_3d = Phylo_RPCA(tree,bt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PC1</th>\n",
       "      <th>PC2</th>\n",
       "      <th>PC3</th>\n",
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       "      <th>10333.Manaus.3346.1313696</th>\n",
       "      <td>-0.098832</td>\n",
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       "      <th>10333.Manaus.3546.1313272</th>\n",
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       "      <th>10333.Manaus.3708.1313460</th>\n",
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       "    <tr>\n",
       "      <th>10333.Manaus.3318.1313403</th>\n",
       "      <td>-0.109181</td>\n",
       "      <td>0.078134</td>\n",
       "      <td>-0.070047</td>\n",
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       "      <th>10333.Manaus.3372.1313934</th>\n",
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       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>10333.Iqu.1038.huma</th>\n",
       "      <td>0.039547</td>\n",
       "      <td>-0.115407</td>\n",
       "      <td>0.098577</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.1127.huma</th>\n",
       "      <td>0.077447</td>\n",
       "      <td>-0.058108</td>\n",
       "      <td>0.158215</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.1086.huma</th>\n",
       "      <td>-0.003302</td>\n",
       "      <td>-0.115030</td>\n",
       "      <td>0.019829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Man.1810.huma</th>\n",
       "      <td>-0.049763</td>\n",
       "      <td>0.066707</td>\n",
       "      <td>0.041066</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10333.Iqu.937.huma</th>\n",
       "      <td>-0.070995</td>\n",
       "      <td>-0.010569</td>\n",
       "      <td>-0.064709</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>164 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                PC1       PC2       PC3\n",
       "10333.Manaus.3346.1313696 -0.098832  0.088878  0.039366\n",
       "10333.Manaus.3546.1313272 -0.062573  0.008617 -0.059647\n",
       "10333.Manaus.3708.1313460 -0.118512 -0.000342 -0.049709\n",
       "10333.Manaus.3318.1313403 -0.109181  0.078134 -0.070047\n",
       "10333.Manaus.3372.1313934 -0.102422  0.144802  0.061849\n",
       "...                             ...       ...       ...\n",
       "10333.Iqu.1038.huma        0.039547 -0.115407  0.098577\n",
       "10333.Iqu.1127.huma        0.077447 -0.058108  0.158215\n",
       "10333.Iqu.1086.huma       -0.003302 -0.115030  0.019829\n",
       "10333.Man.1810.huma       -0.049763  0.066707  0.041066\n",
       "10333.Iqu.937.huma        -0.070995 -0.010569 -0.064709\n",
       "\n",
       "[164 rows x 3 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_loading_phyloRPCA_3d"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## RPCA+PCA dimensionality reduction fusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "sample_evol_feature_20d_normalized,sample_merged_feature_2d = RPCA_PCA(bt, tntree, table_matrix_rclr,df_table_abundance_rclr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.28419104, -1.29179329],\n",
       "       [-0.75689551, -1.44019562],\n",
       "       [-0.49047854, -1.80704515],\n",
       "       [-0.71744016, -1.84092964],\n",
       "       [-0.11623042, -1.59709912],\n",
       "       [-0.91508813,  1.11539812],\n",
       "       [-0.45496846, -0.50513055],\n",
       "       [-0.63040553, -0.30554004],\n",
       "       [-0.70794023, -0.78681797],\n",
       "       [-0.03481231, -0.95529679]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sample_merged_feature_2d[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/syl/DeepPhylo/deepphylo/plot.py:98: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n",
      "  scatter = ax.scatter(\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_2d(sample_loading_abundance_3d,colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/syl/DeepPhylo/deepphylo/plot.py:113: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n",
      "  scatter = ax.scatter(\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_2d(sample_evol_feature_20d_normalized,colors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_2d(sample_merged_feature_2d,colors)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "qiime2-tiny-2023.9",
   "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": "3.8.18"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}