[090c8c]: / examples / .ipynb_checkpoints / UnbalancedExample_SNARE-checkpoint.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bbb0a422",
   "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": "9dfc03a3",
   "metadata": {},
   "source": [
    "First import the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3f33b6f8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dimensions of input datasets are:  X(rna)=  (1047, 10)  Y(atac)=  (1047, 19)\n"
     ]
    }
   ],
   "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": "1031656b",
   "metadata": {},
   "source": [
    "Visualize the distribution of cell-types:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a2550bb1",
   "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()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "504afba5",
   "metadata": {},
   "source": [
    "Randomly subsample different cell types in the ATAC domain for the \"unbalanced\" experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "2c49b34b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fe50ef61880>"
      ]
     },
     "execution_count": 48,
     "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 = [1, 1, 0.7, 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": "408b53e0",
   "metadata": {},
   "source": [
    "### Now run SCOTv2 to align the RNA domain with the subsampled ATAC domain"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "6aab042d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "computing intra-domain graph distances\n",
      "running pairwise dataset alignments\n",
      "Unbalanced GW step: 0\n",
      "Unbalanced GW step: 10\n",
      "FLAGS [True]\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "os.chdir(\"../src\")\n",
    "import scotv2\n",
    "SCOTv2=scotv2.SCOTv2([Xrna, Yatac_subsamp])\n",
    "integrated_data=SCOTv2.align(normalize=False, k=110, eps=5e-3, rho=0.01,projMethod=\"barycentric\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "60bd0277",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1047, 10) (914, 10)\n",
      "(1047, 2) (914, 2)\n"
     ]
    },
    {
     "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_integrated=integrated_data[0]\n",
    "Yatac_subsamp_integrated=integrated_data[1]\n",
    "#run PC jointly:\n",
    "concatenated=np.concatenate((Xrna_integrated,Yatac_subsamp_integrated), axis=0)\n",
    "concatenated_pc=pca.fit_transform(concatenated)\n",
    "Xrna_integrated_pc=concatenated_pc[0:Xrna_integrated.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": "markdown",
   "id": "9fa5a3aa",
   "metadata": {},
   "source": [
    "Compare with SCOTv1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "2b5d6350",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "It.  |Err         \n",
      "-------------------\n",
      "    0|8.740201e-04|\n",
      "   10|4.616616e-05|\n",
      "   20|7.293192e-06|\n",
      "   30|2.832572e-06|\n",
      "   40|9.805220e-07|\n",
      "   50|3.238584e-07|\n",
      "   60|1.052573e-07|\n",
      "   70|3.402871e-08|\n",
      "   80|1.098225e-08|\n",
      "   90|3.542382e-09|\n",
      "  100|1.142409e-09|\n",
      "  110|3.684024e-10|\n"
     ]
    }
   ],
   "source": [
    "import scotv1\n",
    "SCOTv1=scotv1.SCOT(Xrna, Yatac_subsamp)\n",
    "Xrna_aligned, Yatac_sumsamp_aligned=SCOTv1.align(k=110, e=5e-3, normalize=False, XontoY=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "1db7aad6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1047, 2) (914, 2)\n"
     ]
    },
    {
     "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": [
    "#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_sumsamp_aligned_pc=concatenated_pc[Xrna_aligned.shape[0]:,:]\n",
    "\n",
    "print(Xrna_aligned_pc.shape, Yatac_sumsamp_aligned_pc.shape)\n",
    "\n",
    "plt.scatter(Xrna_aligned_pc[:,0], Xrna_aligned_pc[:,1], s=5, c=Xrna_ctypes)\n",
    "plt.show()\n",
    "plt.scatter(Yatac_sumsamp_aligned_pc[:,0], Yatac_sumsamp_aligned_pc[:,1], s=5, c=Yatac_ctypes[index])\n",
    "plt.show()"
   ]
  }
 ],
 "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
}