Datasets
Models
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import TruncatedSVD\n",
"from gensim.models import Word2Vec\n",
"from gensim.models.word2vec import LineSentence\n",
"from glob import glob\n",
"import os\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.manifold import TSNE\n",
"from sklearn import manifold,neighbors\n",
"from sklearn.model_selection import train_test_split\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\n",
"from tqdm import tqdm\n",
"from sklearn.preprocessing import MinMaxScaler"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_pickle(\"/home/serge/development/fastai-genomic/data/Bacillus-10mer-500-0-06292019.pkl\")"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(21392, 105)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"data = df.iloc[:,0:100].values\n",
"out = np.asarray(data)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [],
"source": [
"#export\n",
"from sklearn.decomposition import TruncatedSVD\n",
"\n",
"def denoise(data):\n",
" svd = TruncatedSVD(n_components=1, n_iter=7, random_state=0)\n",
" svd.fit(data)\n",
" pc = svd.components_\n",
" data -= data.dot(pc.T) * pc\n",
" return data"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"../exp/nb_denoiser.py\r\n",
"Converted denoiser.ipynb to ../exp/nb_denoiser.py\r\n"
]
}
],
"source": [
"!python notebook2script.py \"denoiser.ipynb\""
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"d = denoise(out)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"d = MinMaxScaler().fit_transform(out)\n",
"o = MinMaxScaler().fit_transform(data)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"d = out\n",
"o = df.values"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Build phylogenetic tree"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Denoised"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"linked = linkage(d[:1000,:], metric=\"cosine\")\n",
"labels = df.name[:1000]"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x1800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(10, 25)) \n",
"ax1 = fig.add_subplot(111)\n",
"htree = dendrogram(linked, \n",
" ax=ax1,\n",
" orientation='left',\n",
" p=30,\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": "markdown",
"metadata": {},
"source": [
"#### Raw"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {},
"outputs": [],
"source": [
"linked = linkage(o[:1000,:], metric=\"cosine\")\n",
"labels = df.name[:1000]"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(10, 25)) \n",
"ax1 = fig.add_subplot(111)\n",
"htree = dendrogram(linked, \n",
" ax=ax1,\n",
" orientation='left',\n",
" p=30,\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": "markdown",
"metadata": {},
"source": [
"### Reduce dimensions and plot"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<KlsAutoencoder.Encoder at 0x7fcb1221f128>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import sys, os\n",
"sys.path.append(\".\")\n",
"from KlsAutoencoder import *\n",
"e = Encoder(\"../data/models/encoder-3d\",[100,50,3]);e"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"d = e.transform(d)\n",
"o = e.transform(o)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"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",
"ax.scatter(o[:,1],o[:,2],o[:,2], marker=\"o\",s=10,color='r', alpha=0.25, label = \"raw\")\n",
"ax.scatter(d[:,1],d[:,2],d[:,2], marker=\"o\",s=10,color='g', alpha=0.25, label = \"denoised\")\n",
"ax.set_xlabel('d1')\n",
"ax.set_ylabel('d2')\n",
"ax.set_zlabel('d3')\n",
"ax.set_title(\"Denoised vs raw Ksent vectors\")\n",
"plt.legend()\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda env:bio] *",
"language": "python",
"name": "conda-env-bio-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.8"
},
"notify_time": "30"
},
"nbformat": 4,
"nbformat_minor": 2
}