--- a
+++ b/src/.ipynb_checkpoints/UnbalancedExample-checkpoint.ipynb
@@ -0,0 +1,297 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "e39477c8",
+   "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": "markdown",
+   "id": "9edf9b49",
+   "metadata": {},
+   "source": [
+    "First import the data:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "3a3120b7",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "from sklearn.preprocessing import normalize\n",
+    "#load the data:\n",
+    "Xrna=normalize(np.load(\"../data/SNARE/SNAREseq_rna_feat.npy\"))\n",
+    "Yatac=normalize(np.load(\"../data/SNARE/SNAREseq_atac_feat.npy\"))\n",
+    "print(\"Dimensions of input datasets are: \", \"X(rna)= \", Xrna.shape, \" Y(atac)= \", Yatac.shape)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fcd035a0",
+   "metadata": {},
+   "source": [
+    "Visualize the distribution of cell-types:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "eef6c753",
+   "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": [
+    "Xrna_ctypes=np.loadtxt(\"../data/SNARE/SNAREseq_rna_types.txt\").astype(int)\n",
+    "Yatac_ctypes=np.loadtxt(\"../data/SNARE/SNAREseq_atac_types.txt\").astype(int)\n",
+    "\n",
+    "from sklearn.decomposition import PCA\n",
+    "import matplotlib.pyplot as plt \n",
+    "pca=PCA(n_components=2)\n",
+    "Xrna_2Dpca=pca.fit_transform(Xrna)\n",
+    "Yatac_2Dpca=pca.fit_transform(Yatac)\n",
+    "\n",
+    "plt.scatter(Xrna_2Dpca[:,0], Xrna_2Dpca[:,1], s=5, c=Xrna_ctypes)\n",
+    "plt.show()\n",
+    "plt.scatter(Yatac_2Dpca[:,0], Yatac_2Dpca[:,1], s=5, c=Yatac_ctypes)\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "589b24b7",
+   "metadata": {},
+   "source": [
+    "Randomly subsample different cell types in the ATAC domain for the \"unbalanced\" experiment"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "0588d213",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.collections.PathCollection at 0x7fd49878d9a0>"
+      ]
+     },
+     "execution_count": 3,
+     "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",
+    "\n",
+    "index = np.concatenate([np.where(Yatac_ctypes == i)[0][0:int((Yatac_ctypes == i).sum() * props[i-1])] for i in range(1,len(props)+1)])\n",
+    "Yatac_subsamp = Yatac[index, :]\n",
+    "\n",
+    "Yatac_subsamp_2Dpca = pca.fit_transform(Yatac_subsamp)\n",
+    "plt.scatter(Yatac_subsamp_2Dpca[:, 0], Yatac_subsamp_2Dpca[:, 1], s = 4, c = Yatac_ctypes[index])"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "60de06f8",
+   "metadata": {},
+   "source": [
+    "### Now run SCOT and SCOTv2 to align the RNA domain with the subsampled ATAC domain"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "521ff0fc",
+   "metadata": {},
+   "source": [
+    "First running SCOTv1:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "d80af007",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "It.  |Err         \n",
+      "-------------------\n",
+      "    0|2.041784e-03|\n",
+      "   10|6.574496e-04|\n",
+      "   20|2.153045e-04|\n",
+      "   30|2.176224e-04|\n",
+      "   40|1.334470e-04|\n",
+      "   50|9.551809e-05|\n",
+      "   60|6.256376e-05|\n",
+      "   70|3.731755e-05|\n",
+      "   80|2.184968e-05|\n",
+      "   90|1.327636e-05|\n",
+      "  100|8.392663e-06|\n",
+      "  110|5.458488e-06|\n",
+      "  120|3.620305e-06|\n",
+      "  130|2.433857e-06|\n",
+      "  140|1.651641e-06|\n",
+      "  150|1.128118e-06|\n",
+      "  160|7.740041e-07|\n",
+      "  170|5.326980e-07|\n",
+      "  180|3.674112e-07|\n",
+      "  190|2.537873e-07|\n",
+      "It.  |Err         \n",
+      "-------------------\n",
+      "  200|1.754829e-07|\n",
+      "  210|1.214254e-07|\n",
+      "  220|8.406185e-08|\n",
+      "  230|5.821529e-08|\n",
+      "  240|4.032536e-08|\n",
+      "  250|2.793771e-08|\n",
+      "  260|1.935766e-08|\n",
+      "  270|1.341372e-08|\n",
+      "  280|9.295427e-09|\n",
+      "  290|6.441781e-09|\n",
+      "  300|4.464306e-09|\n",
+      "  310|3.093925e-09|\n",
+      "  320|2.144229e-09|\n",
+      "  330|1.486060e-09|\n",
+      "  340|1.029922e-09|\n",
+      "  350|7.137957e-10|\n"
+     ]
+    },
+    {
+     "ename": "ValueError",
+     "evalue": "operands could not be broadcast together with shapes (1047,19) (734,1) ",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
+      "\u001b[0;32m/var/folders/0p/mwk59__53410ww87s46fbp980000gn/T/ipykernel_1324/395054239.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mscotv1\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0mSCOTv1\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mscotv1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mSCOT\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mXrna\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mYatac_subsamp\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m \u001b[0mXrna_aligned\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mYatac_sumsamp_aligned\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mSCOTv1\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0malign\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m50\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0me\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1e-3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormalize\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
+      "\u001b[0;32m~/Desktop/SCOT/src/scotv1.py\u001b[0m in \u001b[0;36malign\u001b[0;34m(self, k, e, mode, metric, verbose, normalize, norm, XontoY, selfTune, init_marginals)\u001b[0m\n\u001b[1;32m    164\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    165\u001b[0m                         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 166\u001b[0;31m                                 \u001b[0mX_aligned\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_aligned\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mbarycentric_projection\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mXontoY\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mXontoY\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    167\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    168\u001b[0m                 \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mX_aligned\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0my_aligned\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mX_aligned\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0my_aligned\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;32m~/Desktop/SCOT/src/scotv1.py\u001b[0m in \u001b[0;36mbarycentric_projection\u001b[0;34m(self, XontoY)\u001b[0m\n\u001b[1;32m    135\u001b[0m                         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0my_aligned\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    136\u001b[0m                         \u001b[0mweights\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoupling\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0maxis\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 137\u001b[0;31m                         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mX_aligned\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmatmul\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcoupling\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0my\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0mweights\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    138\u001b[0m                 \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    139\u001b[0m                         \u001b[0;31m#Projecting the second domain onto the first domain\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
+      "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (1047,19) (734,1) "
+     ]
+    }
+   ],
+   "source": [
+    "import scotv1\n",
+    "SCOTv1=scotv1.SCOT(Xrna, Yatac_subsamp)\n",
+    "Xrna_aligned, Yatac_sumsamp_aligned=SCOTv1.align(k=50, e=1e-3, normalize=False, XontoY=False)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "d4bf758d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "(1047, 734) (1047, 10) (734, 19)\n"
+     ]
+    }
+   ],
+   "source": [
+    "coupling=SCOTv1.coupling\n",
+    "print(coupling.shape, Xrna.shape, Yatac_subsamp.shape)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "7ea648fb",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#run PCA jointly:\n",
+    "concatenated=np.concatenate((Xrna_aligned,Yatac_sumsamp_aligned), axis=0)\n",
+    "concatenated_pc=pca.fit_transform(concatenated)\n",
+    "Xrna_aligned_pc=concatenated_pc[0:Xrna_aligned.shape[0],:]\n",
+    "Yatac_subsamp_integrated_pc=concatenated_pc[Xrna_integrated.shape[0]:,:]\n",
+    "\n",
+    "print(Xrna_integrated.shape, Yatac_subsamp_integrated.shape)\n",
+    "print(Xrna_integrated_pc.shape, Yatac_subsamp_integrated_pc.shape)\n",
+    "\n",
+    "plt.scatter(Xrna_integrated_pc[:,0], Xrna_integrated_pc[:,1], s=5, c=Xrna_ctypes)\n",
+    "plt.show()\n",
+    "plt.scatter(Yatac_subsamp_integrated_pc[:,0], Yatac_subsamp_integrated_pc[:,1], s=5, c=Yatac_ctypes[index])\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "c3124067",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "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": 5
+}