354 lines (353 with data), 170.2 kB
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unbalanced Gromov-Wasserstein for SNARE-seq example\n",
"\n",
"To simulate imbalance between cell types, we subsample the ATAC dataset and try to align to the full RNA dataset."
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [],
"source": [
"import src.utils as ut\n",
"import src.evals as evals\n",
"from src.scot import *\n",
"from sklearn.cluster import SpectralClustering\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.decomposition import PCA"
]
},
{
"cell_type": "code",
"execution_count": 87,
"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": 57,
"metadata": {},
"outputs": [],
"source": [
"X=ut.unit_normalize(X)\n",
"y=ut.unit_normalize(y)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Can't find the cell-type information for now, so assign cluster labels based on spectral clustering. This seems relatively clean..."
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f598e902a90>"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"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": [
"pca=PCA(n_components=2)\n",
"y_pca = pca.fit_transform(y)\n",
"\n",
"clustering = SpectralClustering(n_clusters = 4, assign_labels = \"discretize\", random_state = 0).fit(y_pca)\n",
"plt.scatter(y_pca[:, 0], y_pca[:, 1], s = 4, c = clustering.labels_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now subsample the ATAC data according to class proportions `props`"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7f5985571c50>"
]
},
"execution_count": 79,
"metadata": {},
"output_type": "execute_result"
},
{
"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": [
"props = [0.5, 1, 0.75, 0.5]\n",
"# props = [1, 1, 1, 1]\n",
"index = np.concatenate([np.where(clustering.labels_ == i)[0][0:int((clustering.labels_ == i).sum() * props[i])] for i in range(len(props))])\n",
"X_subsamp = X[index, :]\n",
"\n",
"X_subsamp_pca = pca.fit_transform(X_subsamp)\n",
"plt.scatter(X_subsamp_pca[:, 0], X_subsamp_pca[:, 1], s = 4, c = clustering.labels_[index])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Align using balanced and unbalanced Gromov-Wasserstein"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"It. |Err \n",
"-------------------\n",
" 0|2.512857e-03|\n",
" 10|9.632699e-04|\n",
" 20|2.201648e-04|\n",
" 30|9.146903e-05|\n",
" 40|5.387046e-05|\n",
" 50|4.225666e-05|\n",
" 60|3.867948e-05|\n",
" 70|3.756788e-05|\n",
" 80|3.603410e-05|\n",
" 90|3.265532e-05|\n",
" 100|2.762011e-05|\n",
" 110|2.198783e-05|\n",
" 120|1.672659e-05|\n",
" 130|1.233497e-05|\n",
" 140|8.915730e-06|\n",
" 150|6.364020e-06|\n",
" 160|4.507601e-06|\n",
" 170|3.177430e-06|\n",
" 180|2.233025e-06|\n",
" 190|1.566256e-06|\n",
"It. |Err \n",
"-------------------\n",
" 200|1.097156e-06|\n",
" 210|7.678714e-07|\n",
" 220|5.370787e-07|\n",
" 230|3.754859e-07|\n",
" 240|2.624269e-07|\n",
" 250|1.833662e-07|\n",
" 260|1.281013e-07|\n",
" 270|8.948096e-08|\n",
" 280|6.249785e-08|\n",
" 290|4.364833e-08|\n",
" 300|3.048220e-08|\n",
" 310|2.128664e-08|\n",
" 320|1.486465e-08|\n",
" 330|1.037988e-08|\n",
" 340|7.248070e-09|\n",
" 350|5.061123e-09|\n",
" 360|3.534005e-09|\n",
" 370|2.467654e-09|\n",
" 380|1.723055e-09|\n",
" 390|1.203129e-09|\n",
"It. |Err \n",
"-------------------\n",
" 400|8.400864e-10|\n"
]
}
],
"source": [
"k=50\n",
"e=0.0005\n",
"gamma_bal, _ = scot(X_subsamp, y, k, e, mode=\"connectivity\", metric=\"correlation\", returnCoupling = True)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"gamma_unbal, _ = scot(X_subsamp, y, k, 1e-3, rho = 0.05, mode=\"connectivity\", metric=\"correlation\", returnCoupling = True, balanced = False)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"X_new_unbal = ut.transport_data(X_subsamp, y, gamma_unbal, transposeCoupling=False)\n",
"X_new_bal = ut.transport_data(X_subsamp, y, gamma_bal, transposeCoupling=False)\n",
"y_new = y"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have aligned the ATAC dataset (subsampled) onto the RNA dataset (full)."
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'ATAC, balanced')"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1080x360 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pca=PCA(n_components=2)\n",
"Xy_pca_bal=pca.fit_transform(np.concatenate((X_new_bal, y_new), axis=0))\n",
"X_pca_bal=Xy_pca_bal[0:X_new_bal.shape[0],]\n",
"y_pca_bal=Xy_pca_bal[X_new_bal.shape[0]:,]\n",
"Xy_pca_unbal=pca.fit_transform(np.concatenate((X_new_unbal, y_new), axis=0))\n",
"X_pca_unbal=Xy_pca_unbal[0:X_new_unbal.shape[0],]\n",
"y_pca_unbal=Xy_pca_unbal[X_new_unbal.shape[0]:,]\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, ax3) = plt.subplots(1, 3, figsize = (15, 5))\n",
"ax1.scatter(y_pca_bal[:,0], y_pca_bal[:,1], s=15, label=\"Gene Expression\", alpha = 0.5, c = clustering.labels_, marker = \"+\")\n",
"ax1.set_title(\"Expression\")\n",
"\n",
"ax2.scatter(X_pca_unbal[:,0], X_pca_unbal[:,1], s=15, label=\"Chromatin Accessibility\", alpha = 0.5, c = clustering.labels_[index], marker = \"^\")\n",
"ax2.set_title(\"ATAC, unbalanced\")\n",
"\n",
"ax3.scatter(X_pca_bal[:,0], X_pca_bal[:,1], s=15, label=\"Chromatin Accessibility\", alpha = 0.5, c = clustering.labels_[index], marker = \"^\")\n",
"ax3.set_title(\"ATAC, balanced\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For a (row-normalised) coupling $P$, we can compute the expected class membership error:\n",
"$$\\mathbf{E}_{(x, y) \\sim P} \\mathbf{1}\\{ \\mathrm{class}(x) \\ne \\mathrm{class}(y) \\}$$"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [],
"source": [
"P_unbal = (gamma_unbal.T/gamma_unbal.sum(1)).T\n",
"mean_err_unbal = (P_unbal*(clustering.labels_[index, None] != clustering.labels_[None, :])).sum(1).mean()\n",
"P_bal = (gamma_bal.T/gamma_bal.sum(1)).T\n",
"mean_err_bal = (P_bal*(clustering.labels_[index, None] != clustering.labels_[None, :])).sum(1).mean()"
]
},
{
"cell_type": "code",
"execution_count": 92,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"unbalanced: 0.138904, balanced: 0.254218\n"
]
}
],
"source": [
"print(\"unbalanced: %f, balanced: %f\" % (mean_err_unbal, mean_err_bal))"
]
}
],
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}