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   "source": [
    "## Overview\n",
    "\n",
    "This notebook demonstrates how to use Monet to cluster scRNA-Seq data with the [**Galapagos** (Wagner, 2019)](https://www.biorxiv.org/content/10.1101/770388v3). This method relies on performing density-based clustering (using DBSCAN) directly on the t-SNE result. It's a very straightforward approach based on the somewhat obvious notion that t-SNE plots provide a great starting point for defining cell populations. The approach is limited in its ability to resolve closely related cell types that don't separate well in t-SNE plots, but it's a very simple and transparent approach that also tends to avoid overclustering."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting up the notebook"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
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       "        <script type=\"text/javascript\">\n",
       "        window.PlotlyConfig = {MathJaxConfig: 'local'};\n",
       "        if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}\n",
       "        if (typeof require !== 'undefined') {\n",
       "        require.undef(\"plotly\");\n",
       "        requirejs.config({\n",
       "            paths: {\n",
       "                'plotly': ['https://cdn.plot.ly/plotly-latest.min']\n",
       "            }\n",
       "        });\n",
       "        require(['plotly'], function(Plotly) {\n",
       "            window._Plotly = Plotly;\n",
       "        });\n",
       "        }\n",
       "        </script>\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# change notebook width and font\n",
    "from IPython.core.display import HTML, display\n",
    "display(HTML(\"\"\"<style>\n",
    "    /* source: http://stackoverflow.com/a/24207353 */\n",
    "    .container { width:95% !important; }\n",
    "    div.prompt, div.CodeMirror pre, div.output_area pre { font-family:'Hack', monospace; font-size: 10.5pt; }\n",
    "    </style>\"\"\"))\n",
    "\n",
    "from monet import util\n",
    "_LOGGER = util.configure_logger()\n",
    "\n",
    "# the following is to allow embedding of plotly figures\n",
    "from plotly.offline import init_notebook_mode\n",
    "import plotly.graph_objs as go\n",
    "init_notebook_mode(connected=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Step 1: Perform t-SNE\n",
    "\n",
    "Here, we perform t-SNE as in the previous tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2020-06-17 14:30:28] (monet.core.exp_matrix) INFO: Loaded expression matrix with 10681 cells and 16319 genes -- .npz format, 36.7 MB (hash: f9d7fac20f4de6184ff55388c267699a).\n",
      "[2020-06-17 14:30:28] (root) INFO: No Monet model provided, performing PCA to determine first 30principal components...\n",
      "[2020-06-17 14:30:28] (monet.latent.pca_model) INFO: Converted matrix to float32 data type.\n",
      "[2020-06-17 14:30:34] (monet.latent.pca_model) INFO: The PCA took 1.5 s.\n",
      "[2020-06-17 14:30:34] (monet.latent.pca_model) INFO: The fraction of variance explained by the 30 selected PCs is 33.4 %.\n",
      "[2020-06-17 14:30:34] (root) INFO: Performing t-SNE...\n",
      "[2020-06-17 14:31:10] (root) INFO: t-SNE took 35.6 s.\n"
     ]
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   "source": [
    "import gc\n",
    "\n",
    "from monet import ExpMatrix\n",
    "from monet import visualize\n",
    "\n",
    "expression_file = 'data/v3_human_pbmc_10k_expression.npz'\n",
    "\n",
    "matrix = ExpMatrix.load_npz(expression_file)\n",
    "\n",
    "fig, tsne_scores = visualize.tsne_plot(matrix, title='PBMC data')\n",
    "# by default, tsne_plot() performs PCA with 30 principal components\n",
    "# this can be changed, e.g. to 50, using tsne_plot(..., num_components=50)\n",
    "\n",
    "fig.show()\n",
    "\n",
    "# free up memory\n",
    "del matrix; gc.collect()"
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    "### Step 2: Clustering with *DBSCAN*\n",
    "\n",
    "We'll now apply DBSCAN ([Ester et al., 1996](https://www.aaai.org/Papers/KDD/1996/KDD96-037.pdf)), a density-based clustering algorithm, to the t-SNE result. DBSCAN has two parameters, called *Eps* and *MinPts* (called `min_samples` in scikit-learn). *Eps* defines a radius for finding neighbors, and *MinPts* defines the minimum number of points (here: cells) that need to fall within that radius for a cluster to be formed (some cells won't be assigned to clusters and will be considered \"outliers\"). You can read more about the DBSCAN algorithm in the [scikit-learn User Manual](https://scikit-learn.org/stable/modules/clustering.html#dbscan), and visit Naftali Harris' website to [look at some nice demonstrations of DBSCAN on various datasets](https://www.naftaliharris.com/blog/visualizing-dbscan-clustering/).\n",
    "\n",
    "In Monet, you specify *Eps* as the fraction of the diameter of the t-SNE plot, using the `eps_frac` parameter. Here, I use the term \"diameter\" to refer to the distance from the top-left corner to the bottom-right corner of the t-SNE plot. For example, setting `eps_frac=0.03` (the default), means that *Eps* will be set to 3% of the diamater. Furthermore, you specify `MinPts` as a fraction of the total number of cells available, using the `min_cells_frac` parameter. So setting `min_cells_frac=0.01` (the default) means that `MinPts` will be set to 1% of the total number of cells (rounded up to the next integer)."
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     "text": [
      "[2020-06-17 14:31:10] (monet.cluster.galapagos) INFO: Performing DBSCAN with minPts=107 and eps=6.57.\n",
      "[2020-06-17 14:31:11] (monet.cluster.galapagos) INFO: Clustering with DBSCAN took 0.9 s.\n"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from monet.visualize import plot_cells\n",
    "from monet.cluster import cluster_cells_dbscan\n",
    "\n",
    "eps_frac = 0.03\n",
    "min_cells_frac = 0.01\n",
    "\n",
    "cell_labels, clusters = cluster_cells_dbscan(\n",
    "    tsne_scores, eps_frac=eps_frac, min_cells_frac=min_cells_frac)\n",
    "\n",
    "cluster_colors = {\n",
    "    'Outliers': 'lightgray',\n",
    "}\n",
    "\n",
    "fig = plot_cells(\n",
    "    tsne_scores,\n",
    "    cell_labels=cell_labels,\n",
    "    cluster_order=clusters,\n",
    "    cluster_colors=cluster_colors,\n",
    "    width=850)\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These clusters seem a little bit too broad. By tweaking the DBSCAN parameters, we can increase the clustering resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2020-06-17 14:31:11] (monet.cluster.galapagos) INFO: Performing DBSCAN with minPts=75 and eps=5.04.\n",
      "[2020-06-17 14:31:12] (monet.cluster.galapagos) INFO: Clustering with DBSCAN took 1.0 s.\n"
     ]
    },
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       "                        {\"responsive\": true}\n",
       "                    ).then(function(){\n",
       "                            \n",
       "var gd = document.getElementById('5288818d-8c69-47ce-8720-a4d89d7a91b7');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
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       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
       "            observer.disconnect();\n",
       "        }}\n",
       "}});\n",
       "\n",
       "// Listen for the removal of the full notebook cells\n",
       "var notebookContainer = gd.closest('#notebook-container');\n",
       "if (notebookContainer) {{\n",
       "    x.observe(notebookContainer, {childList: true});\n",
       "}}\n",
       "\n",
       "// Listen for the clearing of the current output cell\n",
       "var outputEl = gd.closest('.output');\n",
       "if (outputEl) {{\n",
       "    x.observe(outputEl, {childList: true});\n",
       "}}\n",
       "\n",
       "                        })\n",
       "                };\n",
       "                });\n",
       "            </script>\n",
       "        </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from monet.visualize import plot_cells\n",
    "from monet.cluster import cluster_cells_dbscan\n",
    "\n",
    "#eps_frac = 0.03\n",
    "#min_cells_frac = 0.01\n",
    "\n",
    "eps_frac = 0.023\n",
    "min_cells_frac = 0.007\n",
    "\n",
    "cell_labels, clusters = cluster_cells_dbscan(\n",
    "    tsne_scores, eps_frac=eps_frac, min_cells_frac=min_cells_frac)\n",
    "\n",
    "cluster_colors = {\n",
    "    'Outliers': 'lightgray',\n",
    "}\n",
    "\n",
    "fig = plot_cells(\n",
    "    tsne_scores,\n",
    "    cell_labels=cell_labels,\n",
    "    cluster_order=clusters,\n",
    "    cluster_colors=cluster_colors,\n",
    "    width=850)\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we are happy with the clustering result, we can save it to disk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2020-06-17 14:31:13] (monet.util.files) INFO: Saved labels for 10681 cells to tab-delimited plain-text file.\n"
     ]
    }
   ],
   "source": [
    "from monet import util\n",
    "\n",
    "util.save_cell_labels(cell_labels, 'output/v3_human_pbmc_10k_clustering.tsv')"
   ]
  }
 ],
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