347 lines
166 KiB
Plaintext
347 lines
166 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "7fb27b941602401d91542211134fc71a",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import pandas as pd\n",
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"import seaborn as sns\n",
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"import matplotlib.pyplot as plt\n",
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"from sklearn.decomposition import PCA, KernelPCA"
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]
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},
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{
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"cell_type": "markdown",
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"id": "acae54e37e7d407bbb7b55eff062a284",
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"metadata": {},
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"source": [
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"# DataSet"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "9a63283cbaf04dbcab1f6479b197f3a8",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"(33, 32)\n"
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]
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}
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],
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"source": [
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"df = pd.DataFrame(\n",
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" pd.read_csv(\n",
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" \"../top_Gads_updated.dat\",\n",
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" header=None,\n",
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" comment=\"#\",\n",
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" sep=\"\\s+\",\n",
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" squeeze=True,\n",
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" names=[\"material\", \"adsorbate\", \"DF_lower\", \"DF_upper\", \"DF\"],\n",
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" )\n",
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")\n",
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"\n",
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"\n",
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"df = df[[\"material\", \"adsorbate\", \"DF\"]]\n",
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"aminoacid = df[\"adsorbate\"].unique()\n",
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"\n",
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"n = {}\n",
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"for i in aminoacid:\n",
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" n[i] = list(df[df.adsorbate == i][\"DF\"])\n",
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"X = pd.DataFrame(n)\n",
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"\n",
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"X.head(5)\n",
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"print(X.shape)\n",
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"aminoacids_label = list(df[\"adsorbate\"].unique())\n",
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"material_label = list(df[\"material\"].unique())"
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]
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},
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{
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"cell_type": "markdown",
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"id": "8dd0d8092fe74a7c96281538738b07e2",
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"metadata": {},
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"source": [
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"# Data Preparation"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "72eea5119410473aa328ad9291626812",
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"metadata": {},
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"outputs": [],
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"source": [
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"aminacid_order = [\n",
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" \"ALA\",\n",
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" \"ARG\",\n",
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" \"ASN\",\n",
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" \"ASP\",\n",
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" \"CYS\",\n",
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" \"CYM\",\n",
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" \"GLN\",\n",
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" \"GAN\",\n",
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" \"GLU\",\n",
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" \"HID\",\n",
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" \"HIE\",\n",
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" \"HIP\",\n",
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" \"ILE\",\n",
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" \"LEU\",\n",
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" \"LYS\",\n",
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" \"MET\",\n",
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" \"PHE\",\n",
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" \"SER\",\n",
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" \"THR\",\n",
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" \"TRP\",\n",
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" \"TYR\",\n",
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" \"VAL\",\n",
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" \"GLY\",\n",
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" \"PRO\",\n",
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" \"CHL\",\n",
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" \"PHO\",\n",
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" \"ETA\",\n",
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" \"EST\",\n",
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" \"PRP\",\n",
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" \"BUT-1\",\n",
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" \"BUT-2\",\n",
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" \"DGL\",\n",
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"]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "8edb47106e1a46a883d545849b8ab81b",
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"metadata": {},
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"outputs": [],
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"source": [
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"X.rename(columns={\"C3H6\": \"PRP\", \"C4H6\": \"BUT-2\", \"C4H8\": \"BUT-1\"}, inplace=True)\n",
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"X.rename(\n",
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" index={\n",
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" \"C_amorph-1\": \"C-AM-1\",\n",
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" \"C_amorph-2\": \"C-AM-2\",\n",
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" \"C_amorph-3\": \"C-AM-3\",\n",
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" \"CNT15-COO--10\": \"CNT-COO$^{-}$-high\",\n",
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" \"CNT15-COO--3\": \"CNT-COO$^{-}$-low\",\n",
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" \"CNT15-COOH-30\": \"CNT-COOH-high\",\n",
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" \"CNT15-COOH-3\": \"CNT-COOH-low\",\n",
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" \"CNT15-NH2-14\": \"CNT-NH$_{2}$-high\",\n",
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" \"CNT15-NH2-2\": \"CNT-NH$_{2}$-low\",\n",
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" \"CNT15-NH3+-4\": \"CNT-NH$_{3}^{+}$-high\",\n",
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" \"CNT15-NH3+-2\": \"CNT-NH$^{+}_{3}$-low\",\n",
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" \"CNT15-OH-14\": \"CNT-OH-high\",\n",
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" \"CNT15-OH-4\": \"CNT-OH-low\",\n",
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" \"CNT15\": \"CNT\",\n",
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" \"Fe2O3-001O\": \"Fe$_{2}$O$_{3}$(001)\",\n",
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" \"graphene\": \"GR\",\n",
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" \"bi-graphene\": \"bi-GR\",\n",
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" \"tri-graphene\": \"tri-GR\",\n",
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" \"grapheneoxide\": \"GO\",\n",
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" \"redgrapheneoxide\": \"rGO\",\n",
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" \"SiO2-Q2\": \"SiO$_{2}$-Q2\",\n",
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" \"SiO2-Q4\": \"SiO$_{2}$-Q4\",\n",
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" \"TiO2-rut-110\": \"TiO$_{2}$-rut(110)\",\n",
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" \"TiO2-ana-101\": \"TiO$_{2}$-ana(101)\",\n",
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" \"TiO2-rut-100\": \"TiO$_{2}$-rut(100)\",\n",
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" \"TiO2-ana-100\": \"TiO$_{2}$-ana(100)\",\n",
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" \"TiO2-ana-101-NB\": \"TiO$_{2}$-ana(101)-NB\",\n",
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" \"ZnO-1010\": \"ZnO(10$\\overline{1}}$0)\",\n",
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" \"ZnO-1210\": \"ZnO(1$\\overline{2}}$10)\",\n",
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" \"ZnS-110\": \"ZnS(110)\",\n",
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" \"ZnS-110-coated\": \"ZnS(110)-coated\",\n",
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" },\n",
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" inplace=True,\n",
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")"
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]
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},
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{
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"cell_type": "markdown",
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"id": "10185d26023b46108eb7d9f57d49d2b3",
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"metadata": {},
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"source": [
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"# Principal Component Analysis for Linear Dimensionality Reduction "
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"id": "8763a12b2bbd4a93a75aff182afb95dc",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"fig.set_size_inches([6, 4])\n",
|
|
"\n",
|
|
"pca = PCA(n_components=\"mle\")\n",
|
|
"X_pca = pca.fit_transform(X)\n",
|
|
"m = np.array(pca.explained_variance_ratio_)\n",
|
|
"x = np.array(range(1, 17))\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.bar(x, m * 100, color=\"blue\")\n",
|
|
"plt.plot(x, m * 100, marker=\".\", c=\"black\")\n",
|
|
"\n",
|
|
"\n",
|
|
"ax1.bar(x, m * 100)\n",
|
|
"ax1.plot(x, m * 100, marker=\".\", c=\"black\")\n",
|
|
"ax1.set_xticks(np.arange(1, 17, 1))\n",
|
|
"ax1.set_xlabel(\"Principal Components\", fontsize=10)\n",
|
|
"ax1.set_ylabel(\"Percentage of explained variances\", fontsize=10)\n",
|
|
"\n",
|
|
"left, bottom, width, height = [0.4, 0.4, 0.38, 0.38]\n",
|
|
"ax2 = fig.add_axes([left, bottom, width, height])\n",
|
|
"ax2.plot(x, m * 100, marker=\".\", c=\"black\")\n",
|
|
"ax2.set_xlim([0.9, 4.5])\n",
|
|
"ax2.set_ylim([0, 75])\n",
|
|
"\n",
|
|
"plt.savefig(\"pca1.png\", format=\"png\", dpi=1000, bbox_inches=\"tight\")\n",
|
|
"\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "7623eae2785240b9bd12b16a66d81610",
|
|
"metadata": {},
|
|
"source": [
|
|
"# Eigenvectors alaysis along the original features"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "7cdc8c89c7104fffa095e18ddfef8986",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/tmp/ipykernel_28870/3301103138.py:34: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
|
|
" ax[2].set_xticklabels(aminacid_order, fontsize=16)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 2500x1700 with 3 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"flatui = [\n",
|
|
" \"black\",\n",
|
|
" \"grey\",\n",
|
|
" \"rosybrown\",\n",
|
|
" \"lightcoral\",\n",
|
|
" \"darkred\",\n",
|
|
" \"indianred\",\n",
|
|
" \"salmon\",\n",
|
|
" \"red\",\n",
|
|
" \"coral\",\n",
|
|
" \"tan\",\n",
|
|
" \"gold\",\n",
|
|
" \"y\",\n",
|
|
" \"olive\",\n",
|
|
" \"yellow\",\n",
|
|
" \"greenyellow\",\n",
|
|
" \"darkgreen\",\n",
|
|
" \"lime\",\n",
|
|
" \"lightseagreen\",\n",
|
|
" \"aqua\",\n",
|
|
" \"lightsteelblue\",\n",
|
|
" \"deepskyblue\",\n",
|
|
" \"royalblue\",\n",
|
|
" \"blue\",\n",
|
|
" \"slateblue\",\n",
|
|
" \"darkslateblue\",\n",
|
|
" \"mediumpurple\",\n",
|
|
" \"darkviolet\",\n",
|
|
" \"violet\",\n",
|
|
" \"magenta\",\n",
|
|
" \"deeppink\",\n",
|
|
" \"pink\",\n",
|
|
" \"crimson\",\n",
|
|
"]\n",
|
|
"# \"ASP\",lightcoral\", \"VAL\":\"blue\",\"PRO\":\"darkslateblue\"\n",
|
|
"\n",
|
|
"pca = PCA(n_components=3)\n",
|
|
"X_pca = pca.fit_transform(X)\n",
|
|
"m = pca.components_\n",
|
|
"\n",
|
|
"component_list_0 = []\n",
|
|
"component_list_1 = []\n",
|
|
"component_list_2 = []\n",
|
|
"for i in aminacid_order:\n",
|
|
" component_list_0.append(np.absolute(m[0][X.columns.get_loc(i)]))\n",
|
|
" component_list_1.append(np.absolute(m[1][X.columns.get_loc(i)]))\n",
|
|
" component_list_2.append(np.absolute(m[2][X.columns.get_loc(i)]))\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(3, 1, figsize=(25, 17), sharex=True)\n",
|
|
"fig.subplots_adjust(left=0.06, right=1, wspace=0.1)\n",
|
|
"ax[0].bar(aminacid_order, component_list_0, color=flatui, label=\"PCA 1\")\n",
|
|
"ax[0].legend(fontsize=16, loc=\"upper left\", frameon=False)\n",
|
|
"ax[0].plot(X.columns, np.full(32, 0.17), c=\"gray\")\n",
|
|
"ax[0].set_ylabel(\"Absolute eigenvector\", fontsize=22)\n",
|
|
"\n",
|
|
"ax[1].bar(aminacid_order, component_list_1, color=flatui, label=\"PCA 2\")\n",
|
|
"ax[1].legend(fontsize=16, loc=\"upper left\", frameon=False)\n",
|
|
"ax[1].plot(X.columns, np.full(32, 0.3), c=\"gray\")\n",
|
|
"ax[1].set_ylabel(\"Absolute eigenvector\", fontsize=22)\n",
|
|
"\n",
|
|
"ax[2].bar(aminacid_order, component_list_2, color=flatui, label=\"PCA 3\")\n",
|
|
"ax[2].legend(fontsize=16, loc=\"upper left\", frameon=False)\n",
|
|
"ax[2].plot(X.columns, np.full(32, 0.13), c=\"gray\")\n",
|
|
"ax[2].set_ylabel(\"Absolute eigenvector\", fontsize=22)\n",
|
|
"ax[2].set_xticklabels(aminacid_order, fontsize=16)\n",
|
|
"ax[2].set_xlabel(\"Biomolecules\", fontsize=22)\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.savefig(\"pca2.png\", format=\"png\", dpi=1000, bbox_inches=\"tight\")"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.8.5"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|