[98867e]: / ipynb / tree and tsne of first 9 cells from mitolin data .ipynb

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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "sys.path.append(\"..\")\n",
    "\n",
    "from faigen.data import sequence\n",
    "from faigen.data.sequence import regex_filter, count_filter\n",
    "from functools import partial\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn import manifold,neighbors\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage, to_tree, fcluster,distance  \n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn as sns; sns.set(color_codes=True)\n",
    "import plotly.plotly as py\n",
    "import plotly.graph_objs as go\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import glob"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load embdding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "word_vectors = Word2Vec.load_word2vec_format('/data/genomes/embeddings/dna2vec-20190612-1611-k10to10-100d-10c-4870Mbp-sliding-kPR.w2v')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import glob\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns; sns.set(color_codes=True)\n",
    "from gensim.models.keyedvectors import KeyedVectors\n",
    "from gensim.models import Word2Vec\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn import manifold,neighbors\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage, to_tree, fcluster,distance  \n",
    "from matplotlib import pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from Bio import SeqIO\n",
    "from Bio.Align import MultipleSeqAlignment\n",
    "from Bio.Phylo.TreeConstruction import DistanceCalculator, DistanceTreeConstructor\n",
    "from Bio import Phylo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [],
   "source": [
    "word_vectors = Word2Vec.load_word2vec_format('/data/genomes/embeddings/dna2vec-20190612-1611-k10to10-100d-10c-4870Mbp-sliding-kPR.w2v')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 9/9 [00:00<00:00, 6998.28it/s]\n",
      "100%|██████████| 9/9 [00:00<00:00, 4248.59it/s]\n",
      "  0%|          | 0/1 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      " <class 'faigen.data.sequence.GSFileProcessor'>\n",
      "CPU times: user 9.78 ms, sys: 0 ns, total: 9.78 ms\n",
      "Wall time: 9.26 ms\n",
      "\n",
      " <class 'faigen.data.sequence.GSTokenizeProcessor'>\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "100%|██████████| 1/1 [00:00<00:00,  3.83it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 10.1 ms, sys: 217 ms, total: 227 ms\n",
      "Wall time: 264 ms\n",
      "\n",
      " <class 'faigen.data.sequence.Dna2VecProcessor'>\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 11.5 s, sys: 2.75 s, total: 14.2 s\n",
      "Wall time: 19 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "['A04', 'A01', 'A07', 'A09', 'A06', 'A10', 'A12', 'A05', 'A03']"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "FASTA = '/home/serge/deepcelllineage/mitolin/data/gen/nguyen_nc_2018/20190702-fastas-on-hpc/1739/20lines'\n",
    "\n",
    "filters=[]\n",
    "data = sequence.Dna2VecList.from_folder(FASTA,filters=filters,n_cpus=7,emb=word_vectors, recurse=True)\n",
    "processors = [\n",
    "    sequence.GSFileProcessor(),\n",
    "    sequence.GSTokenizeProcessor(tokenizer=sequence.GSTokenizer(ngram=10, skip=-7, n_cpus=7)),\n",
    "    sequence.Dna2VecProcessor(emb=word_vectors, agg=partial(np.sum, axis=0))]# agg=partial(np.mean, axis=0))]\n",
    "    \n",
    "for p in processors:\n",
    "    print(\"\\n\", type(p))\n",
    "    %time p.process(data)\n",
    "\n",
    "files = [fn.split(\"/\")[-1] for fn in data.files]\n",
    "labels = [f.split(\"_\")[0] for f in files]; labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 360 ms, sys: 275 ms, total: 635 ms\n",
      "Wall time: 158 ms\n"
     ]
    }
   ],
   "source": [
    "tsne = manifold.TSNE(n_components=3,init='pca', perplexity=4, metric=\"cosine\",random_state=0)\n",
    "%time X3 = tsne.fit_transform(X)\n",
    "X3_df = pd.DataFrame(data=X3, columns=[\"pc1\",'pc2',\"pc3\"], index=labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x936 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(13,13))\n",
    "ax = fig.add_subplot(111,projection=\"3d\")\n",
    "for cell in X3_df.index:\n",
    "    ax.scatter(X3_df.loc[cell,\"pc1\"],X3_df.loc[cell,\"pc2\"],X3_df.loc[cell,\"pc3\"], marker=\"o\",s=8,color='k', label = cell)\n",
    "    ax.text(X3_df.loc[cell,\"pc1\"],X3_df.loc[cell,\"pc2\"],X3_df.loc[cell,\"pc3\"], cell, size=12)\n",
    "ax.set_xlabel('pc1')\n",
    "ax.set_ylabel('pc2')\n",
    "ax.set_ylabel('pc3')\n",
    "ax.set_title(\"Cells in 3d space\")\n",
    "# ax.legend(['Color represents quantity of base representation in k-mer: A - redness G - greenness C - blueness  T - transparency'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 362 ms, sys: 260 ms, total: 621 ms\n",
      "Wall time: 146 ms\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tsne = manifold.TSNE(n_components=3, init='pca', metric=\"cosine\",random_state=0)\n",
    "%time X3 = tsne.fit_transform(X)\n",
    "\n",
    "linked = linkage(X3, method='average', metric=\"cosine\")\n",
    "\n",
    "fig=plt.figure(figsize=(10, 5)) \n",
    "ax1 = fig.add_subplot(111)\n",
    "\n",
    "htree = dendrogram(linked,  \n",
    "            ax=ax1,\n",
    "            orientation='top',\n",
    "            p=X3.shape[0],\n",
    "            truncate_mode='lastp',\n",
    "            leaf_font_size = 10,\n",
    "            labels=labels,\n",
    "            distance_sort='descending',\n",
    "            show_contracted=True,       \n",
    "            show_leaf_counts=True)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {},
   "outputs": [],
   "source": [
    "clusters = fcluster(linked, 1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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