382 lines (381 with data), 189.5 kB
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Notebook for running SCOT on SNARE-seq Cell Mixture Data\n",
"**Note:** This version of the notebook runs a new setting for SCOT, where we use correlation as a metric for building kNN graphs and use connectivity information from this graph in intra-domain similarity matrices fed into the optimal transport algorithm. \n",
"\n",
"**Access to the raw dataset:** Gene Expression Omnibus accession no. GSE126074. \n",
"SNARE-seq data in `/data` folder containes the version with dimensionality reduction techniques applied from the original SNARE-seq paper (https://www.nature.com/articles/s41587-019-0290-0) \n",
"\n",
"SCOT software has been updated on 20 September 2020. It now outputs error statements for convergence issues at low epsilon values. When it runs into numerical instabilities in convergence, it outputs None, None instead of X_new, y_new. If you run into such an error, please try using a larger epsilon value for the entropic regularization. \n",
"\n",
"If you have any questions, e-mail: ritambhara@brown.edu, pinar_demetci@brown.edu, rebecca_santorella@brown.edu "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import src.utils as ut\n",
"import src.evals as evals\n",
"from src.scot import *"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Dimensions of input datasets are: X= (1047, 19) y= (1047, 10)\n"
]
}
],
"source": [
"X=np.load(\"data/scatac_feat.npy\") \n",
"y=np.load(\"data/scrna_feat.npy\")\n",
"print(\"Dimensions of input datasets are: \", \"X= \", X.shape, \" y= \", y.shape)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"X=ut.unit_normalize(X)\n",
"y=ut.unit_normalize(y)\n",
"\n",
"# We have used l2 unit normalization with all methods as per MMD-MA: https://www.biorxiv.org/content/10.1101/644310v2.full.pdf\n",
"## If you'd like to apply z-score normalization instead:\n",
"# X=ut.zscore_standardize()\n",
"# y=ut.zscore_standardize()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"It. |Err \n",
"-------------------\n",
" 0|2.152968e-03|\n",
" 10|6.118185e-04|\n",
" 20|8.246992e-05|\n",
" 30|3.894956e-05|\n",
" 40|3.216470e-05|\n",
" 50|3.068255e-05|\n",
" 60|2.850152e-05|\n",
" 70|2.484922e-05|\n",
" 80|2.042939e-05|\n",
" 90|1.618798e-05|\n",
" 100|1.259759e-05|\n",
" 110|9.709774e-06|\n",
" 120|7.426016e-06|\n",
" 130|5.636091e-06|\n",
" 140|4.246817e-06|\n",
" 150|3.179940e-06|\n",
" 160|2.368862e-06|\n",
" 170|1.757536e-06|\n",
" 180|1.299939e-06|\n",
" 190|9.592410e-07|\n",
"It. |Err \n",
"-------------------\n",
" 200|7.066033e-07|\n",
" 210|5.198315e-07|\n",
" 220|3.820633e-07|\n",
" 230|2.806101e-07|\n",
" 240|2.059904e-07|\n",
" 250|1.511563e-07|\n",
" 260|1.108881e-07|\n",
" 270|8.133075e-08|\n",
" 280|5.964305e-08|\n",
" 290|4.373381e-08|\n",
" 300|3.206565e-08|\n",
" 310|2.350916e-08|\n",
" 320|1.723517e-08|\n",
" 330|1.263514e-08|\n",
" 340|9.262639e-09|\n",
" 350|6.790190e-09|\n",
" 360|4.977643e-09|\n",
" 370|3.648897e-09|\n",
" 380|2.674833e-09|\n",
" 390|1.960783e-09|\n",
"It. |Err \n",
"-------------------\n",
" 400|1.437344e-09|\n",
" 410|1.053637e-09|\n",
" 420|7.723608e-10|\n"
]
}
],
"source": [
"# Set hyperparameters of the algorithm:\n",
"k=50\n",
"e=0.0005\n",
"X_new,y_new= scot(X, y, k, e, mode=\"connectivity\", metric=\"correlation\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Evaluate results:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average FOSCTTM score for this alignment is: 0.14902407132460765\n"
]
}
],
"source": [
"fracs=evals.calc_domainAveraged_FOSCTTM(X_new, y_new)\n",
"print(\"Average FOSCTTM score for this alignment is: \", np.mean(fracs))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"legend_label=\"SCOT alignment FOSCTTM \\n average value: \"+str(np.mean(fracs))\n",
"plt.plot(np.arange(len(fracs)), np.sort(fracs), \"r--\", label=legend_label)\n",
"plt.legend()\n",
"plt.xlabel(\"Cells\")\n",
"plt.ylabel(\"Sorted FOSCTTM\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Visualize Projections"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"from sklearn.decomposition import PCA\n",
"\n",
"pca=PCA(n_components=2)\n",
"Xy_pca=pca.fit_transform(np.concatenate((X_new, y_new), axis=0))\n",
"X_pca=Xy_pca[0: 1047,]\n",
"y_pca=Xy_pca[1047:,]\n",
"\n",
"### Read in cell type information:\n",
"Xlabels=np.genfromtxt(\"data/SNAREseq_typesChromatin.txt\")\n",
"ylabels=np.genfromtxt(\"data/SNAREseq_typesExpression.txt\")\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2)\n",
"ax1.scatter(X_pca[:,0], X_pca[:,1], c=\"k\", s=15, label=\"Chromatin Accessibility\")\n",
"ax1.scatter(y_pca[:,0], y_pca[:,1], c=\"r\", s=15, label=\"Gene Expression\")\n",
"ax1.legend()\n",
"ax1.set_title(\"Colored based on domains\")\n",
"\n",
"ax2.scatter(X_pca[:,0], X_pca[:,1], cmap=\"rainbow\", c=Xlabels, s=15)\n",
"ax2.scatter(y_pca[:,0], y_pca[:,1], cmap=\"rainbow\", c=ylabels, s=15)\n",
"ax2.set_title(\"Colored based on cell type\")\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.scatter(X_pca[:,0], X_pca[:,1], c=\"k\", s=15, label=\"Chromatin Accessibility\")\n",
"plt.scatter(y_pca[:,0], y_pca[:,1], c=\"r\", s=15, label=\"Gene Expression\")\n",
"plt.xlabel(\"Principal Component 1\")\n",
"plt.xlabel(\"Principal Component 2\")\n",
"plt.legend()\n",
"plt.savefig(\"SNARE_align.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\n",
"plt.scatter(X_pca[:,0], X_pca[:,1], cmap=\"rainbow\", c=Xlabels, s=15)\n",
"plt.scatter(y_pca[:,0], y_pca[:,1], cmap=\"rainbow\", c=ylabels, s=15)\n",
"\n",
"\n",
"plt.xlabel(\"Principal Component 1\")\n",
"plt.xlabel(\"Principal Component 2\")\n",
"plt.savefig(\"SNARE_align_class.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"X=np.load(\"data/scatac_feat.npy\") \n",
"y=np.load(\"data/scrna_feat.npy\")\n",
"print(\"Dimensions of input datasets are: \", \"X= \", X.shape, \" y= \", y.shape)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"np.save(\"SNARE_Chrom_SCOT.npy\", X_pca)\n",
"np.save(\"SNARE_Expression_SCOT.npy\", y_pca)\n",
"X=ut.unit_normalize(X)\n",
"y=ut.unit_normalize(y)\n",
"X_pca=pca.fit_transform(X)\n",
"y_pca=pca.fit_transform(y)\n",
"\n",
"plt.scatter(y_pca[:,0], y_pca[:,1], c=\"r\", s=15)\n",
"plt.savefig(\"SNARE_exp.svg\")\n",
"plt.show()\n",
"\n",
"\n",
"plt.scatter(X_pca[:,0], X_pca[:,1], c=\"k\", s=15)\n",
"plt.savefig(\"SNARE_chrom.svg\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}