Revision f6c855ef4a7ce63f72dba6b34e9d0e9edd9200ce authored by ctboughter on 01 December 2020, 17:23:16 UTC, committed by ctboughter on 01 December 2020, 17:23:16 UTC
1 parent 73e84d3
cleaner_bootstrap.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas\n",
"import matplotlib.pyplot as pl\n",
"import math\n",
"import matplotlib as mpl\n",
"from sklearn.utils import resample\n",
"from matplotlib import cm\n",
"import multiprocessing as mp\n",
"import time\n",
"import sys\n",
"\n",
"# THIS LAST BIT IS TO NAVIAGATE TO WHERE MY CUSTOM MODULES ARE LOCATED\n",
"import os\n",
"if os.getcwd()[-4:] != 'AIMS':\n",
" default_path = os.getcwd()[:-10]\n",
" os.chdir(default_path)\n",
"import aims_analysis as aims"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Let's try to clean stuff up by defining functions for all the stuff we call"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Define plots\n",
"font = {'family' : 'Arial',\n",
" 'weight' : 'bold',\n",
" 'size' : 16}\n",
"COLOR = 'black'\n",
"mpl.rcParams['text.color'] = 'black'\n",
"mpl.rcParams['axes.labelcolor'] = COLOR\n",
"mpl.rcParams['xtick.color'] = COLOR\n",
"mpl.rcParams['ytick.color'] = COLOR\n",
"\n",
"mpl.rc('font', **font)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run the bootstrapping in a separate script, then load it back in here\n",
"Think I've mentioned it before, but actually all of the bootstrapping is run on a supercomputer"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import seq_loader\n",
"[mono_all,poly_all,mono,poly]=seq_loader.getBunker()\n",
"[mono_jennaAll,poly_jennaAll,mono_jenna,poly_jenna]=seq_loader.getJenna()\n",
"[mono_HugoAll,poly_HugoAll,mono_Hugo,poly_Hugo]=seq_loader.getHugo()\n",
"[mono_HugNat_all,poly_HugNat_all,mono_HugNat,poly_HugNat]=seq_loader.getHugo_Nature()\n",
"[mono_PLOS,poly_PLOS]=seq_loader.getHugo_PLOS()\n",
"[mono_HugNat_allCNT,poly_HugNat_allCNT,mono_HugNatCNT,poly_HugNatCNT] = seq_loader.getHugo_NatCNTRL()\n",
"AA_key,AA_num_key,AA_num_key_new,props=aims.get_props()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# Make the matrices\n",
"# So this is our \"full\" dataset. Including those antibodies reactive to an intermediate number of ligands\n",
"#ALL_mono=np.hstack((mono_all,mono_jennaAll,mono_HugoAll,mono_HugNat_all,mono_HugNat_allCNT,mono_PLOS))\n",
"#ALL_poly=np.hstack((poly_all,poly_jennaAll,poly_HugoAll,poly_HugNat_all,poly_HugNat_allCNT,poly_PLOS))\n",
"\n",
"# This is actually our parsed dataset, but keep names so we don't need to make multiple changes\n",
"ALL_mono=np.hstack((mono,mono_jenna,mono_Hugo,mono_HugNat,mono_HugNatCNT,mono_PLOS))\n",
"ALL_poly=np.hstack((poly,poly_jenna,poly_Hugo,poly_HugNat,poly_HugNatCNT,poly_PLOS))\n",
"\n",
"poly_all_MI,mono_all_MI,allSize=aims.gen_tcr_matrix(ALL_poly,pre_mono=ALL_mono,key = AA_num_key,binary=True,\n",
" return_Size=True,manuscript_arrange=True)\n",
"\n",
"#ALL_human=np.hstack((mono_jennaAll,mono_HugoAll,mono_HugNat_all,mono_HugNat_allCNT,mono_PLOS))\n",
"#ALL_human=np.hstack((poly_jennaAll,poly_HugoAll,poly_HugNat_all,poly_HugNat_allCNT,poly_PLOS))\n",
"#poly_all_MI,mono_all_MI,allSize=aims.gen_tcr_matrix(ALL_poly,pre_mono=ALL_mono,key = AA_num_key,binary=True,return_Size=True)\n",
"\n",
"# Do this so we guarantee we are always dealing with the same matrix size\n",
"max_len = [int(i) for i in allSize]\n",
"max_all = [max_len[0],max_len[1],max_len[2],max_len[3],max_len[4],max_len[5]]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Obviously change this to your dir location\n",
"#dir1 = '/Users/boughter/Desktop/data2020/marta_fabs/CDR_jupyter/booted/full_boot_071020'\n",
"dir1 = '/Users/boughter/Desktop/data2020/marta_fabs/CDR_jupyter/booted/revision_parse_boot'\n",
"single_bootM = np.load(dir1+'/sinAvg_mono_boot_all.npy'); single_bootMstd = np.load(dir1+'/sinStd_mono_boot_all.npy')\n",
"single_bootP = np.load(dir1+'/sinAvg_poly_boot_all.npy'); single_bootPstd = np.load(dir1+'/sinStd_poly_boot_all.npy')\n",
"\n",
"len_bootP = np.load(dir1+'/len_poly_boot_all.npy'); len_bootPstd = np.load(dir1+'/len_polyStd_boot_all.npy')\n",
"len_bootM = np.load(dir1+'/len_mono_boot_all.npy'); len_bootMstd = np.load(dir1+'/len_monoStd_boot_all.npy')\n",
"\n",
"dset_bootP = np.load(dir1+'/dset_poly_boot_all.npy')\n",
"dset_bootM = np.load(dir1+'/dset_mono_boot_all.npy')\n",
"\n",
"boot_props_poly = dset_bootP[:,0,:,:]\n",
"boot_props_mono = dset_bootM[:,0,:,:]\n",
"boot_props_polyStd = dset_bootP[:,1,:,:]\n",
"boot_props_monoStd = dset_bootM[:,1,:,:]\n",
"\n",
"MI_bootP = np.load(dir1+'/MI_poly_boot_all.npy')\n",
"MI_bootM = np.load(dir1+'/MI_mono_boot_all.npy')\n",
"\n",
"count_bootP = np.load(dir1+'/count_poly_boot_all.npy')\n",
"count_bootM = np.load(dir1+'/count_mono_boot_all.npy')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Note, below data will look different from manuscript\n",
"For the manuscript, I felt the changing of the y-axis size in each plot was confusing/misleading. So for that, max_all = [31, 31, 31, 31, 31, 31]. This way, the size of each position is uniform. You can see below \"block size\" changes with loop currently"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x576 with 6 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = pl.subplots(3, 2,squeeze=False,figsize=(16,8))\n",
"AA_key,AA_num_key,AA_num_key_new,props=aims.get_props()\n",
"\n",
"poly_c=np.average(count_bootP,axis=0)\n",
"mono_c=np.average(count_bootM,axis=0)\n",
"\n",
"# As a quick reference, going clockwise from the top right we have CDR3H, 2H, 1H\n",
"# then bottom left 1L up to 2L, and 3L in the top left\n",
"\n",
"for i in np.arange(6):\n",
" loc1 = sum(max_all[:i])\n",
" loc2 = sum(max_all[:i]) + max_all[i]\n",
" if i < 3:\n",
" x=ax[i,0].pcolormesh(poly_c[loc1:loc2,1:]-mono_c[loc1:loc2,1:],vmin=-0.20,vmax=0.20,cmap=cm.PiYG)\n",
" else:\n",
" j=i-3\n",
" x=ax[j,1].pcolormesh(poly_c[loc1:loc2,1:]-mono_c[loc1:loc2,1:],vmin=-0.20,vmax=0.20,cmap=cm.PiYG)\n",
" \n",
"xax=pl.setp(ax,xticks=np.arange(20)+0.5,xticklabels=AA_key)\n",
"#fig.savefig('AA_parseData_6loop.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Below Code Block is then the more easily appreciated quantitation of above Figure\n",
"So above is panel 2B, below is panel 2C"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Pos 5\n",
"D\n",
"0.10792075574967164\n",
"Pos 10\n",
"V\n",
"0.10698694785571394\n",
"Pos 18\n",
"A\n",
"0.11764547526980779\n",
"Pos 18\n",
"T\n",
"0.12325658821379748\n",
"Pos 26\n",
"V\n",
"0.11404408793534127\n",
"Pos 30\n",
"S\n",
"0.10129429822298103\n",
"Pos 32\n",
"P\n",
"0.16132095991831563\n",
"Pos 33\n",
"P\n",
"0.10364107974349873\n",
"Pos 34\n",
"T\n",
"0.17263437154660838\n",
"Pos 35\n",
"F\n",
"0.1789788652814045\n",
"Pos 49\n",
"V\n",
"0.13426993636807422\n",
"Pos 50\n",
"V\n",
"0.11107877136749392\n",
"Pos 63\n",
"V\n",
"0.10396436262471637\n",
"Pos 64\n",
"V\n",
"0.11262347437479836\n",
"Pos 77\n",
"I\n",
"0.15703097396663007\n",
"Pos 77\n",
"S\n",
"0.14943061431343208\n",
"Pos 78\n",
"P\n",
"0.11826442447733981\n",
"Pos 79\n",
"G\n",
"0.14179442539659992\n",
"Pos 81\n",
"G\n",
"0.20046089686163127\n",
"Pos 81\n",
"S\n",
"0.19891561226765833\n",
"Pos 92\n",
"G\n",
"0.11344826120389703\n",
"Pos 92\n",
"F\n",
"0.21721393267355255\n",
"Pos 93\n",
"T\n",
"0.1301157244680642\n",
"Pos 94\n",
"F\n",
"0.1251313240324574\n",
"Pos 96\n",
"D\n",
"0.20021971463198768\n",
"Pos 97\n",
"Y\n",
"0.14225565006162622\n",
"Pos 98\n",
"G\n",
"0.10804184033197077\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0xa50dfbeb8>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = pl.subplots(1, 2,squeeze=False,figsize=(16,8))\n",
"\n",
"poly_c=np.average(count_bootP,axis=0)\n",
"mono_c=np.average(count_bootM,axis=0)\n",
"poly_c_std=np.std(count_bootP,axis=0)\n",
"mono_c_std=np.std(count_bootM,axis=0)\n",
"\n",
"a,b=np.shape(poly_c)\n",
"x=0\n",
"for i in np.arange(a):\n",
" for j in np.arange(b):\n",
" diffy=np.abs(poly_c[i,j]-mono_c[i,j])\n",
" if diffy > 0.1:\n",
" if i < 90:\n",
" pos=0\n",
" elif i > 90:\n",
" pos=1\n",
" resi=AA_key[j-1]\n",
" if resi == 'I': # Blue\n",
" cc=[0.1,0.1,1.0]\n",
" elif resi == 'S': # Purple\n",
" cc=[0.471*1.5, 0.318*1.5, 0.663*1.5]\n",
" elif resi == 'G': # Grey\n",
" cc=[0.5,0.5,0.5] \n",
" elif resi == 'F': # Red\n",
" cc=[1.0,0.1,0.1]\n",
" elif resi == 'D': # Blue-Green\n",
" cc=[0.33,0.67,0.6]\n",
" elif resi =='Y': # yellow\n",
" cc=[1.0,0.666,0.333]\n",
" else:\n",
" cc=[0.0,0.0,0.0]\n",
" ax[0,pos].errorbar(i,poly_c[i,j],yerr=poly_c_std[i,j],fmt='s',markersize=12,color=cc,capsize=4,capthick=2)\n",
" ax[0,pos].errorbar(i,mono_c[i,j],yerr=mono_c_std[i,j],fmt='o',markersize=12,color=cc,capsize=4,capthick=2,fillstyle='none')\n",
" print('Pos '+str(i))\n",
" print(AA_key[j-1])\n",
" print(diffy)\n",
"ax[0,0].set_ylim([0,0.8])\n",
"# This is the xlim for the parse data\n",
"ax[0,0].set_xlim([76,82])\n",
"# Don't bother setting for the non-parse data\n",
"\n",
"ax[0,1].set_ylim([0,0.8])\n",
"\n",
"pl.legend(['Polyreactive','Non-Polyreactive'])\n",
"#fig.savefig('AA_parse_0.1Cut.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# NEED TO WRITE THE CODE FOR THE BELOW SECTION"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# Let's just straight up calculate Shannon entropy from saved cond. probs.\n",
"\n",
"reps,size,aas=np.shape(count_bootP)\n",
"x=0\n",
"# Note, num reps may not equal reps. For my bootstraps,\n",
"# I ran them in parallel on 112 cores. 1008 is a mutliple\n",
"# of 112, so I have 1008 reps. But for cleanliness, only\n",
"# use the first 1000\n",
"num_reps = 1000\n",
"boot_shannon_poly = np.zeros([num_reps,size])\n",
"boot_shannon_mono = np.zeros([num_reps,size])\n",
"\n",
"for i in np.arange(1000):\n",
" for j in np.arange(size):\n",
" for k in np.arange(aas):\n",
" # count_boot is actually probabilities, not a raw count\n",
" # sorry for the misnomer.\n",
" if count_bootP[i,j,k] != 0:\n",
" boot_shannon_poly[i,j] += -count_bootP[i,j,k]*math.log2(count_bootP[i,j,k])\n",
" if count_bootM[i,j,k] != 0:\n",
" boot_shannon_mono[i,j] += -count_bootM[i,j,k]*math.log2(count_bootM[i,j,k])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Shannon Entropy (Bits)')"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"poly_S=np.average(boot_shannon_poly,axis=0)\n",
"mono_S=np.average(boot_shannon_mono,axis=0)\n",
"poly_S_std=np.std(boot_shannon_poly,axis=0)\n",
"mono_S_std=np.std(boot_shannon_mono,axis=0)\n",
"\n",
"fig, ax = pl.subplots(1, 1,squeeze=False,figsize=(15,5))\n",
"pl.plot(poly_S,'b')\n",
"pl.fill_between(np.arange(len(poly_S)),poly_S+poly_S_std,poly_S-poly_S_std,color='b',alpha=0.2)\n",
"pl.plot(mono_S,'r')\n",
"pl.fill_between(np.arange(len(mono_S)),mono_S+mono_S_std,mono_S-mono_S_std,color='r',alpha=0.2)\n",
"\n",
"pl.xlim([0,103])\n",
"pl.ylim([-0.1,4.2])\n",
"pl.legend(['Polyreactive','Non-Polyreactive'])\n",
"pl.xlabel('Residue Position')\n",
"pl.ylabel('Shannon Entropy (Bits)')\n",
"#fig.savefig('parse_booted_shannon.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"boot_MI_poly = MI_bootP\n",
"boot_MI_mono = MI_bootM\n",
"\n",
"fig, ax = pl.subplots(1, 2,squeeze=False,figsize=(16,8))\n",
"MI_poly=np.average(boot_MI_poly,axis=0)\n",
"MI_mono=np.average(boot_MI_mono,axis=0)\n",
"MI_poly_std=np.std(boot_MI_poly,axis=0)\n",
"MI_mono_std=np.std(boot_MI_mono,axis=0)\n",
"cool1=ax[0,0].imshow(MI_poly,vmin=0,vmax=1.5,cmap=cm.jet)\n",
"ax[0,1].imshow(MI_mono,vmin=0,vmax=1.5,cmap=cm.jet)\n",
"#pl.colorbar(cool1)\n",
"ax[0,0].tick_params(\n",
" axis='both', # changes apply to the x-axis\n",
" which='both', # both major and minor ticks are affected\n",
" bottom=False, # ticks along the bottom edge are off\n",
" left=False, # ticks along the top edge are off\n",
" labelbottom=False)\n",
"ax[0,1].tick_params(\n",
" axis='both', # changes apply to the x-axis\n",
" which='both', # both major and minor ticks are affected\n",
" bottom=False, # ticks along the bottom edge are off\n",
" left=False, # ticks along the top edge are off\n",
" labelbottom=False) \n",
"#fig.savefig('therapeutic_MIs.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = pl.subplots(1, 1,squeeze=False,figsize=(16,8))\n",
"x=pl.imshow(MI_poly-MI_mono,vmin=-0.20,vmax=0.20,cmap=cm.PiYG)\n",
"#pl.colorbar(x)\n",
"#fig.savefig('parse_MI_differenceMap.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Below Section is how we pick out individual slices from the above matrix.\n",
"Change \"Resi\" to slide along the matrix anywhere from 0 to max_len"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x360 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"resi=55\n",
"fig, ax = pl.subplots(1, 1,squeeze=False,figsize=(15,5))\n",
"MI_poly_plot = MI_poly\n",
"MI_mono_plot = MI_mono\n",
"MI_poly_plot[resi][resi] = 0\n",
"MI_mono_plot[resi][resi] = 0\n",
"pl.plot(MI_poly_plot[resi],'b')\n",
"pl.fill_between(np.arange(len(MI_poly_plot[resi])),MI_poly_plot[resi]+MI_poly_std[resi],MI_poly[resi]-MI_poly_std[resi],color='b',alpha=0.2)\n",
"pl.plot(MI_mono[resi],'r')\n",
"pl.fill_between(np.arange(len(MI_mono[resi])),MI_mono[resi]+MI_mono_std[resi],MI_mono[resi]-MI_mono_std[resi],color='r',alpha=0.2)\n",
"\n",
"# Commented out stuff is for plotting p-values\n",
"hold = True\n",
"for i in np.arange(len(p_matrix[resi])):\n",
" if p_matrix[resi,i] < 0.05:\n",
" if hold:\n",
" plotP = 1.8\n",
" xP = i\n",
" hold = False\n",
" else:\n",
" plotP = np.vstack((plotP,1.8))\n",
" xP = np.vstack((xP,i))\n",
"\n",
"pl.scatter(xP,plotP,color='black')\n",
" \n",
"pl.xlim([0,103])\n",
"pl.ylim([0,2.0])\n",
"#pl.legend(['Polyreactive','Monoreactive'])\n",
"pl.legend(['Polyreactive','Non-Polyreactive'])\n",
"pl.xlabel('Residue Position')\n",
"pl.ylabel('Mutual Information (Bits)')\n",
"fig.savefig('booted_MI_single'+str(resi)+'_fullData.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot the Average Length from Bootstraps"
]
},
{
"cell_type": "code",
"execution_count": 50,
"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"
}
],
"source": [
"for prop in np.arange(6):\n",
" #zalphO2=1.960 # this is 95% CI.\n",
" zalphO2=2.576 # This is 99% CI\n",
" mono_prop_avg=np.average(len_bootM_null[0:1000,prop])\n",
" poly_prop_avg=np.average(len_bootP_null[0:1000,prop])\n",
" \n",
" mono_prop_std=(np.std(len_bootM_null[0:1000,prop]))*zalphO2\n",
" poly_prop_std=(np.std(len_bootP_null[0:1000,prop]))*zalphO2\n",
"\n",
" pl.bar(prop,mono_prop_avg,yerr=mono_prop_std,color='black',alpha=0.75,width=0.3)\n",
" pl.bar(prop+0.3,poly_prop_avg,yerr=poly_prop_std,color='gray',alpha=0.75,width=0.3)\n",
" pl.ylabel('CDR Length (# Amino Acids)')\n",
"\n",
"# Also for plotting p-values\n",
"#for i in np.arange(len(pBoot_len)):\n",
" #if pBoot_len[i] < 0.05/6:\n",
" #pl.scatter(i+0.15,16,color='black')\n",
"pl.savefig('CDR_len_null_sigs.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot Average Biophysical Properties"
]
},
{
"cell_type": "code",
"execution_count": 49,
"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"
}
],
"source": [
"for prop in np.arange(15):\n",
" #zalphO2=1.960 # this is 95% CI.\n",
" zalphO2=2.576 # This is 99% CI\n",
" mono_prop_avg=np.average(single_bootM[0:1000,prop])\n",
" poly_prop_avg=np.average(single_bootP[0:1000,prop])\n",
" \n",
" mono_prop_std=(np.std(single_bootM[0:1000,prop]))*zalphO2\n",
" poly_prop_std=(np.std(single_bootP[0:1000,prop]))*zalphO2\n",
"\n",
" pl.bar(prop,mono_prop_avg,yerr=mono_prop_std,color='red',alpha=0.5,width=0.3)\n",
" pl.bar(prop+0.3,poly_prop_avg,yerr=poly_prop_std,color='blue',alpha=0.5,width=0.3)\n",
" pl.ylabel('Property Values')\n",
"\n",
"# For plotting p-values\n",
"#for i in np.arange(len(pBoot_prop)):\n",
" # The \"divide by 15\" is for multiple test correction\n",
"# if pBoot_prop[i] < 0.05/15:\n",
"# pl.scatter(i+0.15,0.12,color='black')\n",
"pl.savefig('CDR_prop_parse_sigs.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# And Lastly for New Plots: Position Sensitive Properties"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1008, 2, 62, 104)"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.shape(dset_bootP_null)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"poly_S=np.average(boot_props_poly,axis=0)\n",
"mono_S=np.average(boot_props_mono,axis=0)\n",
"poly_S_std=np.std(boot_props_poly,axis=0)\n",
"mono_S_std=np.std(boot_props_mono,axis=0)\n",
"\n",
"# Take a peek at the null properties\n",
"#poly_S=np.average(boot_props_poly_null,axis=0)\n",
"#mono_S=np.average(boot_props_mono_null,axis=0)\n",
"#poly_S_std=np.std(boot_props_poly_null,axis=0)\n",
"#mono_S_std=np.std(boot_props_mono_null,axis=0)\n",
"\n",
"# Prop numbers are the EXACT SAME as in aims_analysis.ipynb\n",
"prop = 2\n",
"fig, ax = pl.subplots(1, 1,squeeze=False,figsize=(12,7))\n",
"pl.plot(poly_S[prop],'red')\n",
"pl.fill_between(np.arange(len(poly_S[prop])),poly_S[prop]+poly_S_std[prop],poly_S[prop]-poly_S_std[prop],color='red',alpha=0.2)\n",
"pl.plot(mono_S[prop],'blue')\n",
"pl.fill_between(np.arange(len(mono_S[prop])),mono_S[prop]+mono_S_std[prop],mono_S[prop]-mono_S_std[prop],color='blue',alpha=0.2)\n",
"\n",
"pl.legend(['Polyreactive','Non-Polyreactive'])\n",
"pl.xlabel('Residue Position')\n",
"pl.ylabel('Net Charge ($e_c$)')\n",
"#pl.ylabel('Net Hydrophobicity (AU)')\n",
"\n",
"# for plotting p-values\n",
"#for i in np.arange(len(booted_ps)):\n",
"# if booted_ps[i] < 0.05:\n",
" #pl.scatter(i,0.10,color='black')\n",
"# pl.scatter(i,0.25,color='black')\n",
"\n",
"pl.savefig('parse_charge_sig.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Now, into significance testing\n",
"To do so, we need to load in both permuted data (for mutual information) and \"scrambled data\" for every other statistical test"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# Obviously change this to your dir location\n",
"dir1 = '/Users/boughter/Desktop/data2020/marta_fabs/CDR_jupyter/booted'\n",
"\n",
"MI_bootP_perm = np.load(dir1+'/parse_permute'+'/MI_poly_boot_all.npy')\n",
"MI_bootM_perm = np.load(dir1+'/parse_permute'+'/MI_mono_boot_all.npy')\n",
"dset_bootP_perm = np.load(dir1+'/parse_permute'+'/dset_poly_boot_all.npy')\n",
"dset_bootM_perm = np.load(dir1+'/parse_permute'+'/dset_mono_boot_all.npy')\n",
"boot_props_poly_perm = dset_bootP_perm[:,0,:,:]\n",
"boot_props_mono_perm = dset_bootM_perm[:,0,:,:]\n",
"\n",
"# And load in the null distribution data:\n",
"#dir2 = '/null_full'\n",
"dir2='/parse_null'\n",
"dir3 = dir1+dir2\n",
"\n",
"single_bootM_null = np.load(dir3+'/sinAvg_mono_boot_all.npy'); single_bootMstd_null = np.load(dir3+'/sinStd_mono_boot_all.npy')\n",
"single_bootP_null = np.load(dir3+'/sinAvg_poly_boot_all.npy'); single_bootPstd_null = np.load(dir3+'/sinStd_poly_boot_all.npy')\n",
"\n",
"len_bootP_null = np.load(dir3+'/len_poly_boot_all.npy'); len_bootPstd_null = np.load(dir3+'/len_polyStd_boot_all.npy')\n",
"len_bootM_null = np.load(dir3+'/len_mono_boot_all.npy'); len_bootMstd_null = np.load(dir3+'/len_monoStd_boot_all.npy')\n",
"\n",
"dset_bootP_null = np.load(dir3+'/dset_poly_boot_all.npy')\n",
"dset_bootM_null = np.load(dir3+'/dset_mono_boot_all.npy')\n",
"\n",
"boot_props_poly_null = dset_bootP_null[:,0,:,:]\n",
"boot_props_mono_null = dset_bootM_null[:,0,:,:]\n",
"boot_props_polyStd_null = dset_bootP_null[:,1,:,:]\n",
"boot_props_monoStd_null = dset_bootM_null[:,1,:,:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# We Also Need to Calculate Non-Bootstrapped Values\n",
"For statistical tests, we want to show the empirical distribution"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"# Also need to calculate the non-bootstrapped values\n",
"mono = ALL_mono\n",
"poly = ALL_poly\n",
"len_distM=np.zeros((6,len(mono[0])))\n",
"len_distP=np.zeros((6,len(poly[0])))\n",
"for i in [0,1,2,3,4,5]: # This one for light\n",
" for j in np.arange(len(mono[0])):\n",
" len_distM[i,j]=len(mono[i][j])\n",
" for j in np.arange(len(poly[0])):\n",
" len_distP[i,j]=len(poly[i][j])\n",
"\n",
"# Average and take std\n",
"len_meanM=np.average(len_distM,axis=1)\n",
"len_meanP=np.average(len_distP,axis=1)\n",
"len_stdM=np.std(len_distM,axis=1)\n",
"len_stdP=np.std(len_distP,axis=1)\n",
"\n",
"# Now get properties, not lengths:\n",
"clone_meansM=aims.gen_clone_props(mono_all_MI)\n",
"clone_meansP=aims.gen_clone_props(poly_all_MI)\n",
"mean_varsM=np.average(clone_meansM,axis=1)\n",
"mean_varsP=np.average(clone_meansP,axis=1)\n",
"std_varsM=np.std(clone_meansM,axis=1)\n",
"std_varsP=np.std(clone_meansP,axis=1)\n",
"\n",
"# And non-averaged properties:\n",
"nonBoot_poly,nonBoot_polyStd=aims.gen_dset_props(poly_all_MI,stdev=True)\n",
"nonBoot_mono,nonBoot_monoStd=aims.gen_dset_props(mono_all_MI,stdev=True)\n",
"\n",
"# And non-averaged MI:\n",
"nonBoot_MI_poly=aims.calculate_MI(poly_all_MI)[0]\n",
"nonBoot_MI_mono=aims.calculate_MI(mono_all_MI)[0]"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0xa19f1a5c0>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"total_dat = np.vstack((poly_all_MI,mono_all_MI))\n",
"matrix=pl.imshow(np.transpose(total_dat[:,:]), interpolation='nearest', aspect='auto',cmap=cm.jet)\n",
"pl.colorbar(matrix)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Generate the P-value matrix of Supplemental Figure S7\n",
"We need to use the permutation test, because our MI calculation doesn't have a non-bootstrapped standard deviation\n",
"Method from Page 158 of \"Bootstrap Methods and Their Application\" - A.C. Davison and D.V. Hinkley"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"num_reps = 1000\n",
"booted_ps = 0\n",
"length = np.shape(MI_bootP)[2]\n",
"p_matrix = np.ones((length,length))\n",
"# MI is the only data in matrix form, so I need to account for that\n",
"for pos1 in np.arange(length):\n",
" for pos2 in np.arange(length):\n",
" \n",
" # z is our test statistic, and here it is simply a difference of means\n",
" z0 = MI_poly[pos1,pos2]-MI_mono[pos1,pos2]\n",
" # Go across all permutations\n",
" a = 0\n",
" for i in np.arange(num_reps):\n",
" z_r = MI_bootP_perm[i,pos1,pos2] - MI_bootM_perm[i,pos1,pos2]\n",
" \n",
" # We want to count the number of times the permuted z is larger\n",
" # than the empirical z0. Square both z's to make it a 2-sided test\n",
" if z_r**2 >= z0**2:\n",
" a = a + 1\n",
"\n",
" p_boot = (a+1)/(num_reps+1)\n",
" \n",
" if p_boot < 0.05:\n",
" p_matrix[pos1,pos2] = p_boot"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = pl.subplots(1, 1,squeeze=False,figsize=(16,8))\n",
"x = pl.imshow(p_matrix,cmap='hot')\n",
"#fig.savefig('MI_significance_matrixPARSE.pdf',format='pdf',dpi=500)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# All of the Below Code Uses a Studentized Non-Parametric Bootstrap Significance Test:\n",
"Test for Studentized Statistical Significance as in \"Bootstrap Methods and Their Application\" pg 171-172\n",
"Once these are calculated, you could go back up this notebook and actually plot the \"stars\" for significance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calculate significance for CDR length"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.02397602 0.01198801 0.61138861 0.04095904 0.02297702 0.001998 ]\n"
]
}
],
"source": [
"# loops are 0,1,2,3,4,5\n",
"# for cdr1,2,3 light then cdr1,2,3 heavy\n",
"num_mono = np.shape(ALL_mono)[1]\n",
"num_poly = np.shape(ALL_poly)[1]\n",
"# num_reps is the number of bootstrapped samples taken\n",
"num_reps = 1000\n",
"for loop in np.arange(6):\n",
" exp_diff = len_meanP[loop] - len_meanM[loop]\n",
" z0 = (len_meanP[loop] - len_meanM[loop])/np.sqrt((len_stdP[loop]**2)/num_poly + (len_stdM[loop]**2)/num_mono)\n",
" a = 0\n",
" for i in np.arange(num_reps):\n",
" #z_r = (len_bootP_null[i,loop] - len_bootM_null[i,loop])/np.sqrt((len_bootPstd_null[i,loop]**2)/num_poly + (len_bootMstd_null[i,loop]**2)/num_mono)\n",
" z_r = ((len_bootP[i,loop] - len_bootM[i,loop])-exp_diff)/np.sqrt((len_bootPstd[i,loop]**2)/num_poly + (len_bootMstd[i,loop]**2)/num_mono)\n",
" \n",
" if z_r**2 >= z0**2:\n",
" a = a + 1\n",
" if i == 0:\n",
" zR = z_r**2\n",
" else:\n",
" zR = np.vstack((zR,z_r**2))\n",
" p_boot = (a+1)/(num_reps+1)\n",
" if loop == 0:\n",
" pBoot_len = p_boot\n",
" else:\n",
" pBoot_len = np.hstack((pBoot_len,p_boot))\n",
"print(pBoot_len)\n",
"# Can optionally visualize the number of replicas that break through the limit\n",
"#pl.plot(zR)\n",
"#pl.plot(z0**2*np.ones(1000))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calculate Significance for Averaged Biophysical Properties:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.000999 0.000999 0.000999 0.004995 0.000999 0.53346653\n",
" 0.00699301 0.000999 0.86113886 0.000999 0.06993007 0.000999\n",
" 0.11488511 0.9040959 0.30869131]\n"
]
}
],
"source": [
"# Same deal as above for num_reps\n",
"num_reps = 1000\n",
"for prop in np.arange(15):\n",
" exp_diff = (mean_varsP[prop] - mean_varsM[prop])\n",
" z0 = (mean_varsP[prop] - mean_varsM[prop])/np.sqrt((std_varsP[prop]**2)/num_poly + (std_varsM[prop]**2)/num_mono)\n",
" a = 0\n",
" for i in np.arange(num_reps):\n",
" #z_r = (single_bootP_null[i,prop] - single_bootM_null[i,prop])/np.sqrt((single_bootPstd_null[i,prop]**2)/num_poly + (single_bootMstd_null[i,prop]**2)/num_mono)\n",
" z_r = (single_bootP[i,prop] - single_bootM[i,prop]-exp_diff)/np.sqrt((single_bootPstd[i,prop]**2)/num_poly + (single_bootMstd[i,prop]**2)/num_mono)\n",
" if z_r**2 >= z0**2:\n",
" a = a + 1\n",
"\n",
" p_boot = (a+1)/(num_reps+1)\n",
" \n",
" if prop == 0:\n",
" pBoot_prop = p_boot\n",
" else:\n",
" pBoot_prop = np.hstack((pBoot_prop,p_boot))\n",
"print(pBoot_prop)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lastly, calculate significance for our position sensitive biophysical properties\n",
"To have a bit more control, we do these one property at a time"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0xa53a9a8d0>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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P/WjdtDW8sk1RNz2FMh59m4heLUfTRF+k6Nevr2bdqHXtJaK/7TbgkaChBO1Am62bOjtjOfOs/l9ZiIq+RjDRq4N72KPfskUuOcxyaEhuZzPDuyuasG5YJVQl+okJs6Jfv14qetfpBE1PL6Zt2kb073oXcG1XL1X/oRcU/chIeEWvRtGEUPR1Rt1Yd8b2CsbGJHEvLHR79C94AXD77cArXyk/qxEvoR6hetG6YaJfsyab6I8dk9stcxj+ZqPo5+aKB0yp6q4OTE/X/59NoM2Kni3DNWvCE73pKdt2+6joA0OdTlC3bgDg3HNTAjGpad9wsW58dca6xtLz/69Z02nd8Pv16+XS1b5Rj3cvWTdzc925f3oJ99zjL31uk52xy5bJa9pE9FlRZlVGoAPRumkd1Mx6JqJXYYph9w0X66Ytiv6447I7YwH3Dtle9eh7meh/+EPgFa+Qg/GK0HbrZsWK7hsNt5esTJB1KvqRkUj0waEmXGKiZI9eRxuIvu3Wjakz9vjj5XIpKXrO0d6rRH/33XL5/PPF27bZumGiN3n0Re3FNUssUE7Rj43FqJvgKLJuVLSJ6MtaN0TZj6k+iZ7TSADyeI6NAauSySCXkqLnMvcq0d97r1zaKFM+rnkk1JSiP3zYjejrVPRliD4qekeYiD6rw7ANRO9q3eQ9pvqKo1+zRi6Z3Djl88pkRgFXou9FRV80WrntcCH6tir6iYl6iD60om9drptegk70Y2PZsxS1gehNpFyk6G0yO+r7LAPVowdScmOin5iQn5eSdcOk0ouKfn4e+P735XufRN+kR69nz4yKPh99TfRHj2b784DZNvGNUAOm6iB6VvRZRL+UrJteJvoHHjBP1pEF287YJj360dFo3ZRBXxM9E1MW2qDoq1g3WfA1YGr1arkMad1kXUA2cfR1Ej3/Vy8SPds2gN0xK6PoXQfNuaJOj97VuhkdjUQfHHp4ZduJ3sW6Ca3oZ2flceSnIV3R83pX6yYq+npx773pU5hPRa+mCKgLdXr0LoqeJ2WJUTeBoYZXtonoiyJkQlg3rgOmZmbkceRObF3RDwzIi20pdsbOzIRNmREC994LnH56NzkC8mb9hjcATz2VrrNV9ED99o1reOXQkDxvZc4dH4dly+wV/dCQ/U0lKvoKKOPR10X0RQM5eDtG04p+ZkZeyHyT1BU9IIm+aUWvz8wVEiqpNOFNu2JhAbj/fuCMM8xE/9BDwD//M/Dtb6frbBU9UG+H7NycfOUNmMqCy7XO2y5fbq/oyxB9jLqpgDZ69GVJuQ2dsXmKHgir6Hlwkk0d67IO1Au9l+ybBx6Q5zOL6E2WVFsVPV8PrgOmgHLthY/D+Lh/Rc+puiPRO6JXid40YGp+3kyEdXj0Y2P5in7lynBRN5w1MGQdy0L9n14ieu6IPf10ecyyiF4lbK4rXx8mMNHXqei5vbl69EB9il7NfGmCzc3UJyLRo1miz4u6Acyqvm5FrxI9r6ti3RQpepuLoG6i71VF/93vSgV86qnlFP3QULbdCDRj3XDmUFePHnBT9MuX2yv6wUH5KvqfSPQV4eLRhyQLV+uGO29NIzHr9uiZBKan67FuItH7w733AqedlkaD6ETPBKYr+iICasK6UYm+1z16mzQTPtF3RM9KpFcUfZZ1w6NSXRS9jzh63bpZXOwkel/WjekCajvR90oahIUF4L77pD8PyHahH68sRV9E9G1Q9PPzaWd8aEVflej37Ckf2eQTfUf0RGnCpV4g+izrhkelNmHdsEfPF/P0dKrcfETdFCl6vqiKBkxl/T4EelHRP/WULOvLXiY/51k3vaDoWVgw0QPp+Q+t6I8dK/bd84j+yiuBt70t/RyJ3gPGxmSjWFhoP9HrhCVEdUXvK45+YEAup6a6M4GyoncJb+TjPTAQrZuQ4HPGg6XyrJuyij6vM3ZxMU2L7BOs6LkzFkjrE5ro1f/K2z6L6Pfvl6qewfuKRF8BY2PAvn3yfRty3ZSxbnjZpKJnjx6Qna/T091EPzEh9+/y6K6GrfUK0fdi1I3+ZORT0at9YTq+/nXg7LOBBx8sX+Y86NYN0BmhVvbJuQhqO1X/Kwt5RD8312n5RUXvAWNj8g4KtF/R6w2QL7wqRD84KC2sqh49II+fSdFXSWzGx3vZst4h+l5U9GWI3qei52vPZpKTMtA7Y4HeUfSR6AOgl4heJ2U9F7wL0QPVUgSwRw9IMs6ybgA3ou9FRd+LnbHclpgUfUbd5HXG8r5crcMsMNEvX17euqkyYIqJvqqiNw1Ka13UDRFdRURPE9EMEd1FRNsKtt9MRH9HRM8T0f7k/YnVi1yMXiJ6IB3OD/hR9LxPX4o+y7oB3Dpkua69SvR1K/r9+4s7Ak3QFX3egClXRW+ybkIR/eHDss0MDvaeRz83J9epncdAyxQ9EV0B4BMANgKYBXAWgK9mETcRrQNwJ4D/DGAUwPLk/T95KHMhRkdTom9Lrps8qDPUs2qo0hkLVCd6vpBDWDdcrmjdFGN6GtiyBbjppvK/DenR51k3IRX9ihXyvatH36SiB9LrqHVET0QE4EPJx8sArAXwDQArAbw342dXQd4U7gYwCeAFAI4AeCkRvaRimQvBUTdA7yh6nx69vs+yUBV9VmfsUrNumuqMPXxYvn7yk/K/5baUZ91UjaOvU9GrRN9Gj/7YMXuib2PUzVZI0l4EcJMQYgEA64sLMn5zSbK8QQhxRAjxDID1QoiVQogfVyqxBbgRAr1D9FwGVg3Ll8v1rkRvGhxjg4UFGR5n2xlb1boxXTxtjqMfG6uX6IsS3OWB25Kq6PXjVXVkbJ6i9z2YyqToQxK9ruirWjdA2nZap+gBnJIs9wshuInv0L77dxDRGIAXJh83ENGDRDQF4G+I6PhKpbVErxG9at2oKmz58voVPV+koRX94GB2Gduo6Ofm5HniPou6wGTJHZFlEDLqZmhIjoOo26NXxwTwf9hkO/Wh6MtaN+oYk9ZbN5AWDQCosQbT2ncq1gDgdEhXA9gMYATAzwO42fQHRHQ5EW0nou171FEFjlCJvhc8epN1MzJSnehdLjS+SEN69AsLsny9RvQjI2kUUgjcdlvat6T+L+Cm6MtYN2UVPVH2BOFl5qctgyxFb5PttArRc5svo+iBzklOsoi+dVE3GTDlt1P3+S0A6yCV/2EA5xDRufoPhBCfEUKcKYQ4c3JysmKRyiv6kGThat34IHpfin5qKlV8nL2SLzgX62Z+Xh77XiP64eH0Ccc3ZmaA178e+Mu/7FxfRdGbrBtfI2OBNNWIjjo9+tlZu/biOmBqcNA+JbNO9KacTm1W9KzZlinrmD4PGrZX1/2tEGJaCPEEgK8n636mXBHLo4p1c+gQcP75wMMP+ymLb+uG5+kMRfTcmLPCK3n94KAs31JR9PPzqaIPQfTT01KZ6oTuQ9GHsG4A2Uab6oxVFX0Zoi+r6IeHu/sD8rbPInouY5s9+seT5drEfweATcnyUX1jIcQRAM8kH1XjhKsd/GGF78BAqkBN4FTA6gl55BHg9tuBL37RT1nKqu8iRc9lDa3o1RQIU1OyHOPjnTnKXROb8THpJaJn6yaUR8/71FWjD48+hHXD+61T0Wd59GXaS9nO2KGhMIq+jVE3DwDYk2x7KRENAXh78t3tGb+5JVn+MhGtTeLtz03WfcexrNZQbYeBnBoSdU8SwCfz/vv9lMV1wFSWordVAr6sm/Fx6TUePNj9dOSaqpgviF4k+pDWDdBNJj6jboaH5blUB1+pUTe2KX8ZY2NR0evbm4heiB6wboQQiwCuST7eAOAAJGkfAXA9EW0ioh3Ji5X+xwE8DxmauRPAk5Dx97cLIb7htQYGqCRVBJVkgfSE3Hefn7K4WjdZir4JogeAvXu7j6fr5CNtUfRPP50mvytC6M7YLHKsqugHBtInVxNhqe9tBx8x6lT0TOimAVOhiN6Xolf/s83WDYQQ1wG4EsDTkNbLPQAuFELsADAEGWe/MXmPxJP/OQC3QcbfHwbwFwAu9lx+I8oQvR7zyifzwQf95Np2tW6qKnrXOHrdo2fra98+M9FX6Yw1WQmA3WOtrcrKwy/8gswTboM6OmMBv4p+bq7TxjRNSGMa8dvGzlg1oRnQOWCq7YrelCep7qibnOl/OyGEuBbAtYb1T8IQfSOE+AGA11YpnCuqED2flIUF4IEH5KTKVeBq3TSt6NXwSsCs6FeudBuxadsZG3rA1O7dwImW2ZdCd8ZmEX3VqBv1GBYpei5D1c7YEOGVOtHXYd3oij4E0bdK0fcamOjzYugZWYoeqO7T2wzk4DJkdcbqNkEZoq8SR68ret/WTRs8+qkp+6e20J2xoRR9EdGr/1dW0ddp3XA7c+2M9aHoXa2bSPSB4MO6Aar79DYDOfj7rPBKnq+VEVrRm8IrATmQx5d1oyp6fQQh0G6iD63oszx6ldBskWXdFCl6tqmKUGdnbJair9Oj96Houe20Meqm56DbDnnIsm5OPLE60duSsloG3boBzHms6xwwBcibln48sy70IqiKHui++GzqWHVyFZ7svG1En6XogfKq3ta64XPcZkWvEz2nYCir6Mu0FxYkg4Pyv0Ioeu4oD42+JHofiv4Vr5DWjcucqAwXUtatG6DzAm/Ko9ff8zYuiatURQ90l3N+Xl5YeaGxgHsdgZTUyhA9d8bOzrrlh89DkUcPlPfpba2bVavSMtjajUCzih5IO/NDWjf8u6zAAdP2tkQ/PNw5LiUk+proXTx6PinbtsnYcZfORoYLKXPyrIGBZonedLM0Kfr5+U5ryQZqeCV/Nn1fhCpEzxec7Y1K7YwF/ERkqQih6HWi52OqK3omeh6dq26bhyY9eqAc0VcZMAXYiRqd6PlYZkU21RVxA/Q50VdR9NuS+bOq2Dcu1o36uM3lr5Pos8Ir1fIwbL1LHeqAKaBZonexbgD/9k2RRw+4WTc2Hr2q6Mt0EjZh3ajirQ5Fz/sMpejrQiT6oU6y4JNy5plSVddB9Lqi54uzF6wboLx9w43cFNcN2HcGViF6PqYuUTeAf6LPSoGgkoQv60Y9ZrOzacrp6elyRJ9l3YQIr+Tjo7ZBvtHYlJltwFCKfnFR2l6R6GuED0W/ciVw6qn1E72q6KsQveuAqZkZ+Vv2DlVFr+cNqkL0qqLXCWEpK/qQ1k0din5hoTsTqw/oE50D5RQ9kXlCkDyUUfS838HB7hxaaiSdmusmEn1FVI2jHx2VDeNnf7ZaLL1r1E3Tij4r+6cvRW/TGWvjX9ZN9NwZq/7eF0J0xhZZN5yDRfXoyyp6vY9GLa9PRa8/aQLliB4oT/S6orch+jxFv3p1+cgmX+hLoq8aXsm/f/nLgSefBJ5/3q0crtaND0XvOmBqdraT6PmmB2QTfdmOSV3RN+nRz83ZdSY35dGHVPTHjkmyr6LogU5yV9uCT6KfnZVlUiOxQhO9rujzBI0t0UfrxiPWrJEnZsOG4m3V9ANAp3Xy8pfL5fe+51YOV+vGl6IXonwYoK7oiVJyM0XdcJnLwEbR1+XRA3bl16Nu6rJu1Buv7/BK1aYE3BS9XuZQRK+3SyAl315R9KtWdRJ9jLqpiDVrZF75t761eNs8RX/WWbLx3HKL+bdFcLVufCl6dXtbzMx0Ph4DKcG7WDeHDgHPPtu5rk3hlYDdE0noztg8j/644+R731E3vGSid1X06vELqeh1omfyLXOduQyYAvwo+lWronXjHZs32406M3n0fEGsXg289rXAzTe7DZxqsjO2CtHrF1SWorch+t/+bTlFnoo2hVcCxYqeveymwitXrZJPVr4VPS+XLZPflVX0edaNq3WYBZMAqdOjt+2MjdZNS5HVGct461ulT//d75bfdxlSZr9UfaIYG5MXeJ1Eb1JOVRT97t3Ac891rus1Ra/O6hWa6PXOTW4PK1b4HzCljsLm1A4u1o16/FQ7qA7rpgzR6zZtEdSRsUXhlbZEz6OqY9RNzcizbgDg4ovlNjffXH7fZZQGIMuhXpxE3amKe03Rz8x0E2kbFL16TIuIXs0/FDrqRv0/IBUey5f7i7pRO/55PcfE+1L0q1b5t25Mij6kR+8SXmkiei6fHt0Uib5G5Fk3gPRHzz/fzb5xIWW9QdFAsUAAACAASURBVLsSfdZgpCK4ePR5RDk93X0j0AdMmSJN2qTo+T/qsG6A7hDFkRE/ij7LuvGp6Pl9HYrexaMPNWDKVtEDkegbQZGiB6R98+ijwPe/X27fLkSvX5z9oujVm6RNeGVdcfRcxjyYFH1IotcVPSe4CxV1Mzrqpui5najHIhTRZyn6OsMrfXj0gGx7MeqmZhQpegC45BIZv1vWvnGxbvT/r0r0ZS+2Mh69TXilmhGR0YbwSlei53EFdSp6F4/+2DH5UslRbxNVFT1nkjTZYBMT9Xv0fB1loQ3hlUBK9FHR1wgbRT85CZx7LvD5z5ezb1wVvQ/rxqeir9IZyxc+L4XoXY9+eDgdVxAq1w3QeTxdFb1K4gwenp9F9GUVfR7Rr1wpz3PZzKZZMAkQ1aMfGipO+dvkgCmiNPNmJPoGUBR1w3jrW4GHHpLzyNrC1aNv2rrR61/FutGTdalpcNui6IvCK3XSXLYsTGcshwObFL1p/mDG1BRw2mnA3Xdnl5mhWhBqDpaxsfKKnsN/1RuQSvSA+/nRYWqXqkdvU96Q4ZXcrrOIXp9IKBJ9zdAHUZisGwB4zWvk8jvfsd+3a9SNjaIvGiPgW9EPDnbXw0XRq8ekaaJXBwrlQe2MBcIo+pmZ9NHe5NGvWJGt6J95Ribfu/fezt8B2b62uk1VRa+WSx9t68u+KbJubInedcBU1c5YdbDd1FQMr6wdNtYNALzgBfLEPPSQ/b59dcaq6pEbSNFjqs84+he/GHjRi7r/0ybqRid69YJomuh5xGkZjx4IT/Quih7oLFOWolcHMunhlT49et9EX9QZa9tebBX94qJ86Yo+y7q1IXo1NDcq+pqhn/wsRT80JMnu4Yft9+0jvHJ8vFvR2zZqtQy2MD0iv+99wI9+1L2tOkFz3v7UZVsU/dGjwNq1nWXLgk6a4+NhiJ7J0eTR53XGliF6NX21at24KPrRURmkkGfdtE3R2xK9OkgOkHXl/qW87W0UPd9QY9RNjbBV9IDMTx9C0asTF9uEV4Yi+oUF6TXqF9TAgDmigaj4kVb36NULosmJR1wUPZepKUU/NWXu3OT2YerQtbVuXBQ9UbelxMeS1b5PRW8iekAeF99Er0fyZI35YJS1bqKirxk24ZWMrVtlPL1tRsiyip4vVBPR8yOjbQNxGTClzxdrgzyi5xuHum+TotcvnqVm3fBxKvLoudw6yip6X1E3QPeTBj8Ruk4zmYWszlhA3mhCKXo1vBKwI/qBAXkTjNZNi2AbdQNIRT87Czz1lN2+yxI9KyO9M5ZzY/A+Qyl6fb5YG+QRvWnEpKqUmh4wtWZNdzlNMHXG+oy6UdMGAOnxVHMfmSJcGD6I3kXRA91hn2yx2Nh6tuDjkKXojx4Nb90U1Ue/MZgy0kZF3yD4hAjRnVRMx9atcmlr35QZyAGkF6yu6IFUNZUhQaCcojLN4lOEskSvXkBNe/QTE3IfTSt63dfm46neYEwdnwxuN3qnPWBn3agefdYNIgsm60Yleh+KPs+GAsIQvX7tllH0+n8x0asjiVsbdUNEVxHR00Q0Q0R3EdE2y98REd1JRIKI3u1c0kDgE7O42K3cdDDR23bI2g7k4BPOF7Gu6NXvQip639aNaWi8qhiJZNimWkYeRVsmiqJsDqLFRVme8XFZV5c4+hBEz0Pk9cm1XRS96r+ryFP0QNrOXK0b9tJ9En1Wu+w1RT8wIOtw+LBss60jeiK6AsAnAGwEMAvgLABfJaITLX7+HgBnO5cwMPQYdiBb0U5OysfrMoq+DCnzRaxenGwvHDjgts86iD5LEZuG9esXhK7K1QFVReBtygyCAVJCZKIv2xnrO+pGt25MRGyj6Kt69ICcKAbwZ92EVPQhPfoqnbH6f6nqfXw8PcatirohIgLwoeTjZQDWAvgGgJUA3lvw2xMBfLxiGYNCzzMDZJ8AIqnqfRM9l8Gk6Netk8u9e8vtsy6PPk8R53n0XD6d6Mt4xK4hpEyMZYk+lKLnfekevUpweYreFHVjY93w0PyhofScHz4sl0V2I6MO68anordtK6bwSqCaogdkmzt4sHPfdcBG0W+FVPKLAG4SQiwAuCn57oKC3/4pgFWQTwGthIno8zzqrVvLWTdlCIsvWPVGw0S/Z4/bPl0UfR0efZair4Po+TgvX25H9HV1xuoefRVFnyVa1OPNET3qvMCHDtnZjQxT1E0oRV+V6MsMmPKh6PnpVCX6ZcvaS/SnJMv9QghuSju077pARG8G8J8A3A7g7qztmkYZ6waQkTdPP22XSdAH0U9OymUdir5ujx7oHMADdNskeQil6K+/Hrjttu4yqRfr/Hz5idezkBV1Y6voq1g3/L2q6MsQkMm68R1emSVA6vTol4KiT3QGVA0zrX3XASJaAeDPAMxBevS5IKLLiWg7EW3fw9K1JpSxboC0Q/aRR4r37cO64VjvskTfhjh6W49eJYM2WDcf/zjw2c+mn01ED/izb7JGk5ZV9GWjbnSlCUhFX4aA2mDd2HZsNunR9wLR5yHrAe/3AGwGcI0QotDRFkJ8RghxphDizEmWsDVBH5UKFCt6wM6+8aHoh4dlh2wd1k2dcfRFHn2ZENIqRG/qTD5ypJNQTSNjAf9Ez5N064pezXzoM+pGHTPC59yF6NWc8E10xgL1Kfp+JvqkewbLlHWcsPagvjERnQ7gvwN4FDJSp9Uoq+hPScwqmw5ZNc1pHvLCKwHp07taN3XE0dtE3ZgGTHE5m/bo1RuVENK+UAnVFHUD+Cd6JkhTeCX/p++oG13Ru1g3armaUPRA+JGxVcIr1bEvqkffqqgbAI8ny7VExId6U7J81LD9WwAMAngxgGkiEgD+Y/Ld54joDseyBoEaomej6MfHgc2b7YnexbrRG4AL0Q8Oyg61tnn0ulJqW9TNzIyMs1eJfn4+nbQDCKfox8Y6j6cqPAYH5f/6jrrxYd0AablCxNEXDZgC2jNgitvI4GC2ouf21zZF/wCAPcm2lxLREIC3J9/dbtj+EICd2osPz4FkX61B2agbQNo3dVk3gOyQLWvd8H5DE71NeCVR74RXMmHpil49J2rOEh/QiV736Lk9ZmWwVBU9Dx5ztW7KKnq976DfFL3PAVNA5+Q9rSJ6IcQigGuSjzdAkvW5AI4AuJ6INhHRjuS1SQhxnRBik/oCcFfy+98QQrwtQD2cUda6AdJY+qIRma4DpnxYN7zfNnj0K1faD5jqJaKvU9ED2dMJcn3U0d1Z0UtFin521s264XJx1E0d4ZUuHv2xY3YjqUN1xi5TDPBWET0ACCGuA3AlgKcBjAC4B8CFQogdAIYg4+w3Ju97CmXDKwFJ9IcOAbt3529X1rox5boBUqIvkx4AcFf0vuPoV69ul6LPi6PPInq1PCGJPsuj5/LmKXr1PZOLHg9fFF4JVLNuQip6H9YNYKfqXcMr2bppm6K3JmYhxLUArjWsfxLZ0Te8zbllC1YXXBQ9R9489BBwwgnZ27laN6bJyefm5GN1LxG9OuKzTQOmbBW9EJIodUUfqjOW48+zFH2RdcNlWr06O902H289gZ+r0lStGyFSoncJBsiCL+tG7Y8r2t5F0XO/GP+O8zC1gehj9kpHRQ8Ux9L7yHUDdKZBCEn0R4/Ki2mgRKsYHe3MO69iZqYz1znQngFTnCY5i+jV9hDaupmeTiesyPPo86wbHmzFZdLLzOB1LGyqKnrVuuHyjo1JwtPHSLjCZ2csEE7RqxF2TPS8H5N107aom76GS2fsSSfJk1TUIWtLyjxRQV54JVCe6HUSLcLBgylh2CLvApiZkQ1b7bA1hVe6DphyGRQGSGJkZaWHh6pEyu/11NAhOmOZaF0UvTotokr0pnasKlPf1o2uvFWbqAqyFL2LRw/YEb2LojcRvR7mGhV9Q3CxbgYH5YTZvogekNuZZpgCOtMghFT0LkTPF18W0Y+Ndapm2/DKkAOmjh5NlejYmOzE5HKZiL6OzljeZ5FHryv6+Xn50ok+y7rJIvqBgfS9q3Wjd5qqdamCvAgiRmhFz9NpRqLvUbhYN4BdiGVZUja9BzoTm5XdZxlF5VvRT093E30bOmNVRc+kxOXLIvrQnbGuip7LwG3E1rqZm+ueTY3r5WrdhFT0o6PdHcuqJx5a0QP5Ny5bom911E0/w0XRA5LoH3ssP7FVGVJWrQzdI6/Low9h3XDIYNs6Y8sSfWhFrxJ9GY+e7aOq1g2QlqEMAY2OSsJViZ7/1xfRmyYGByTJl3kKqaLogc5zY9o+KvoWo4qin5vLnz/WRdGbbjIrV8rv9+yxixhQ99k00Wd59L2m6NXzMjIib8Z1KXquJyt6NQ5cJ3r+XNa6AdwUPVFartCK3oTQRO9b0UeibwhqUrPZ2dSLK4JNcjMXRW9q0ERS1e/aJT/3EtFnefRN57pRPXouK2DXGcv520MQve7Rq7Hwy5en0yAymNh9WDcuip7LFdq6yRrEx+Wvy7pxVfRcPpXoY9RNjVBja7MuDhN8E32eogdkh+wzz3Rua7PPuojelNgsy6PXvdVeU/RAdqijC7IUvf6/plTF/N7WulGPmQ9Fz+UKSfT6DUmFi6K3aS9Z1k306HsUukdvO1jo+OOlpVIX0a9bBzz7bOe2Nvu0JcGFBUkaIaJudI9eV0lNxNGr4ZVcVkASFl+MWZ2xgDwfvqZOyPLodfvFlKo4y6N3sW5cFX2WdZPnaZdBnqIvQ/SqqCuCb0UfrZuGoRO9raInKo688WXdAG5EXyaOnicsDuXRz8yYUzhUiaMPpehPPDF9D5gV/fr1wHPPlfvfLOQperU9mBS9q3UzO5s9PsDVujGFV4bsjOX/AOrrjM1S9MeORaJvNfTO2DLD/085pV7rZt++zm1t9mlLgpwjO5RHD6Qx3+oF0YY4erX8R45IEuftADNpHn98GKJXPfoqir4o6saUQK+Koq8jvNKEkB49UWcEnA9FH62bhuBq3QBS0f/kJ9kTb7gQfZ6i17e12afthRaC6FWPHpDHSY8aGh5Oc4IA7VD0q1Z15n7XlS/gl+j5OAFpSonFxXKKfuVK2ZZto25M6TaqePSqdVNXeCX/B1Cd6B99FPj859PPpui2GF7Zw9AVfZme8FNPlQT12GPd33E61LLWTZ5Hz+g1Ra/64CbrBuicjUddnwcXoueolTyiX7Gicy7ULEX//PN+Rn7q1g3/p42iZ9IfH5cvW+vGJ9HXEXUTOrzyox8F3vnO9LP+5Mn/5aszdnCwXE6pqohEX1HRA2b7pgxhqdtl/b86lW4bid70VKN69PxZvyB0sp6flxeAzUXgMosWE2FeeKWJ6PVjfvzxcumjQ9ZE9LOz5RT9+HhnyGeRdXP4cOf/Ae22bkIqeiGA22+X/8PlNSl6H9bN8HCaUK9ORKJ37IwF0vljTVksXYm+1xS9ba4b3iZL0atEX+YiKBtCqipgtfxlFT37+D7sG92jB+SxKuPRL1vWSfRNWjd1hlf68OgffTQNXeYboEnRu4RXmvqcxscj0deOKp2xq1bJC96Hou8364ZTtJo8+iJFH5LoVQUMVLNugOpEzzncmWRV60ZvjytXyiVHSHF9RkbkMdUVfR7Rm6atrKLoeb4EdT+9ouhvVyZE5Tro7ZT/q6qiByLRN4Iq1g2QHWK51Kwbnej16fF4nU7kfAGoU+DVSfRq2ZhcV6xIfWcOCQ1F9GoOd7U8JkU/MSHbK0dfcX1Y6dtYN3xsTVE3VTx6QJZrcLBTtLSxM1ZvL3fckb5Xid7UGVtG0S8umvNnLVsWib52VOmMBfwTfdb/c/hc2X2WIXqe4agMiojexaOvg+hN4ZWsclVFz53qWURfNJ1kEUyDjLg8OlkTyXagEz3ftJYtk5/1WY1U6B69L0UPyHKphNy2zljTgCkhJNHzE3OedVO2MxYwpx6Pir4BcKdfFUW/e3eqiBmu1k2eF8mP7iEGTLmkPwBkuYnyFb1K9FkePRNC3R798LAs/8xMqnJVos8aqbtihaxXVUVv8rUBs6IHJNHzRPFcH5Xop6fzxyKE8ugBWS61/bZV0atE//DDciDim94kP+cp+qw5e3l7E9Gb5oEeH683zw0QiR5EqZ9WtjMWSDtkH3qoc71vRQ+kqiOUoncheiLzIy0rGZfO2DLnwKaON98M/Mu/yPe6dUOUjtzli9xE9HqZiPyMjs1S9CaPHshX9BxemZeFNY/oqyQ1AyTR+1b0x47J8xuqM5Ztm7e8RS7zFP2qVfL7xcXufZcl+qjoGwCTRdnOWADYtk0uv/71zvW+PXrAjegXF/Nz5jNciR7ono4PyPbom7BuPvIR4MMflu91oucyFil6083Hx6CpPOvGJDzWrcu3blSit7FufHj0RdaNmla5LPS0CjqqKvrbbwc2bABOP11+zlP0fH3wNirKEH306BtCFUW/caNsJF/8Yud631E3QNohW/bm8ZWvAF/7GvDgg9nbHjwIrF5tt18dar55RpZH30R45b59wP33ywtU9+i5/Cain55O65FF9HV69ECxRz89nT+BDrczn4petW50ogfKj1xWEZLo2Z8/7zzZ0Q3kK3q2TnWblveZRfREspOaccklwFvfWlxen7DIvN7/UEOhyip6ALjoIuDqq+XgGSbjNlg3xx0nl298o1yOjsrRnKaL5uBBqWxcYLJusjz6IkWf1/FmQhHRCyGJcXERuPvubo+ey2giegA4cEAus4j+vvvsy2qCq0cvhCSQqam0XeiKPmtug5ER/yNjuS4moncJcmDoaRV0VCH6hx6SN+pzz+0m+jxFX5boR0Y6p0H81V8tLqtvREWPTkXvSvRCALfckq5rg3XzK78C3Hkn8M1vAr/1W7J+WSM5q1o3NkRv49Hv2pUORrJBEdEfPJhaV9/6ltm6YevJRPT793eWUwVbN1WsCbUvg8sC5Hv08/NpWU1RN3nWDa/3ndRM34f6/1V8+iJFX8Wj5/j5886TZR0ZKfbogWyiV1U7v2eibxqR6NGp6F1OyumnSzX8hS+k69pg3QwNAWefDZxzDnDWWXKdGrGhwjfRqwRWxqN/9tk0TbANiohetTn+7d/KefRASvSm87J+vfxv04VvCxePHkjrZYq6KZr7eHg4TNSNWg9131WIPqSi//GPpR3zwhfKzxMTdopeHbDGyFP0dfvxJkSihzwprp2xgHwsu+gi6YVnzY1aBBtFf+qp8vs1a8qXUZ1gXMfCQpq10QV5ir7Io1d93GPH5KN0GaI3dQSrYELcskVaN4cOyf9Xy8B9DGWJ3kcsfRbRT0/L42GyboC0XnrUjRDmjlYVWdbNhg2yLZe18NT+DvU/1acTV9gqehuBpg+Yeu45ebNmW0Un+rKKPs+6aRrWRE9EVxHR00Q0Q0R3EdG2gu1/kYi2E9ERInqCiP43ETlSSVio6V1dT8pFF8mL54475Em/7jq5382b7X5v49FfcomcjNw30btOOsIoirpRY9WzFP3cnLSVFhfLEb3eOamDv3vLW6T6veuuTjXPZVQV/fLl5Yi+SuRNlkefRdZ5RM+KnIkoz7rhEEF1mxe9SFpnr3hFuTpwCga1Huq+Qyr6X/xF4M/+zK7t6gOmnnsuPYdAJ9H77IztGaInoisAfALARgCzAM4C8FUiMl6SRPSrAG4CcAaABQAnA/h1AP9IpHZLtAMq0bsoegA4/3x5wX3hC8AHPwjceqtsgFu22JcByG8URJ0NswyY6E0evWv6A0Ze1M3YWBqrXuTRc2KpMopycjI/gyQT4sUXy2UR0Y+NyXNh2xkL+CV6bn+mkatASvR790rFPzvrRvQMvb27tC+i9HiFIvosRb9pE/De99rtS7du8ojed2ds0ygk+oSYP5R8vAzAWgDfALASQNYh/q1kebUQYjWAswEsAjgPwJlVChwCQ0NpNIYr0S9bBrz2tcD/+T/Apz4FvP/9wOWX2//exrqpgjVr5AVpUvRViT7Po1eTdRWFV/JUiWUUPceVmwaxACnR/+zPyqerY8fyiZ4Jy7YzFvBD9HpSMxtFr6dc5n08/7z5twyVeHyRkJ5SQt13SOumDLiDVCV6NYdUkaIfH5f76EuiB7AVUskvArhJCLEAqdYB4AJ9YyIaAXAngDsA3AgAQohvA+AH7BdWK7J/+LBuAGnfzMwAb3gDcO215X5rY91UweCgDLesi+h1JcZkmtcZ60L0k5OSvJncdOzbJ29wq1cDr3qVXKd6ymrZ8ojedF6YJOpU9HzD3revu2PZRdH7am+hFb0PAcTx7DyD19695RQ9kbxGynbGtoHobeLok0H+2C+ESDQEdmjf/TuEEHMALlXXEdFWAJxo9ycO5QwKH4oeAC69VBLWO97RGWplW4aq/1+Eycn6iZ7rw2Rqo+hPOMH+v5ls9+xJxw2o2LdPkuPgIPDqVwM33eSm6LMGH61d67czlo8Hk4neHoaG5E1r377uMQG6oi8i+sHB8u00C6GI3qeiB9IIu/37JdmX8egBeY3oil4I8+TgQHuI3kbRJ10QmFLWTWvfZYKIlkMqewLwAIB7yhSwDqhEX+WkjI4Cv/ZraadNGYRW9IC0Oeok+pGRNGmcjaJ/5hlJnGVudnl9D4AkRLY7WNHrRK/G0etEn+fRA9XTIOg3RB7QlKXogXTQlK7oeWlr3fhsa/yUpCc1A9qj6IGU6PmclVH0gLy2daLncRq9TvR5yO1YTUj+SwC2QXbKXi6E6HJTiejyJEJn+x4fc7OVxPBw9c5YH2UI/f8hiV6Pupme7pzxnm8GRYq+jG0DpIo+a3yASvQ//dPyQjUpeg6vZILnSJI6iH50tHPk5OhofogkRxpVtW58ElBTnbFlYUP0PAeBraJnz99E9GWT9IWCDdFzCh/lsgVfKplDRYhoHMAtAM6F9Pd/RQjxLdO2QojPCCHOFEKcOan2jtQEX9ZN1TIAvanos6Ju1IszS9GrcfRViN5G0Q8OAr//+8B//a/d5dcVPUeS5HXGAn6IXicxlehN7YE7oF2JPoSo6DXrhs+Z3hm7uCiPa5aiL0v0QO8Q/ePJci0R8eHelCwfNf2AiAYA/C2An4Mk+cuEEDdWKWhI+LJuqqBO60Yfsu866Qgjy7rRiZ5zpecp+rKDdcpYN4C01jglrVq22VlJrpzzBJDklUe4QPXEZtPT3SQ2MpLt0QPdit416iaEddPmzlggHRzJ7UVX9IA8574UPdA7RP8AgD3JtpcS0RCAtyff3Z7xm98AcFHy/gNCiM9VKmVgDA2l5Nfv1s38fHfUQJX0B4A90TMxmYh+dtZN0Y+NSUK2sW7y9sHbqsP51fdZF+v69ZJYXcnMRdEvJevGt6IfHk4VPc/YxVCJPk/R69dPXxB94qlfk3y8AcABSDvmCIDriWgTEe1IXpuIaBRpHD0AfEj5fgcRvc1zHSqjDSelLusG6CZFH0S/uNiZ59vk0fPIU1Nn7K5d8vdliR7IHjTF0wPaEv3hw+WJnhWha9dSEdFnKfojR1JbyTXqpheIfmYmnRzIB1TrZt26zqgjnehN/8mdsepTcV8QPQAIIa4DcCWApwGMQEbOXCiE2AEZorkxeQ1BdryuU36+UXtpUczNQz0pTSn6bdvkgKsXBhxlEJLogU5Vb1L0TF6qUuLY5p8kQbcuRL9unZloebCULdED7kTv6tNnEb0pFw2D6/P003LpSvQ+23qedZM1z6oNeBpBX+PpVaLXRwHbWjfHjqVPU0BvEL31fVIIcS2ArmFAQogn0Rl9o39uPdpA9KecIpOihURWhIpPos/KTT42Zlb0gCT+p56S711y4k9Omn1yn0Sf1xkLuPv0JqLPS1EApDfsLKI/ciQ/Rj6kog8RXunzmrQl+jzrBpDXDLf1XiD6mL0S7TspoRBa0ashlnlEr19AKtH7tG5siV4lEhPRDwxkk2YoRc8oo+iHhuw69XvNuvHlzwOdRK8H+DHR8xNRlqIHOjtkI9H3CNqg6OtAKKJXJxZhmDx6zkdjUvR8cbXRusm7UHmSlFBEn+XRA/LmqKdc5mNuQ/R1WTdVO2NDEP2ePdmKPi+k1pSTPm/AFBCJvjVo20kJhYkJ2Xib8ugZJkUPyDKoNwdbTE7KG4vqmwJpPUMS/cSErL9P66aMotcHf+nJ0UwIoei5TGo7aqt1MzUlB8JlET0PksvqjAWiou9JLBVFT9Q9aOrYsWqTjgDliV6/gPhCcJ2zNmvQVB2Knkjm5uE8PWUxM9N9cytKOsb1mZnJJvq8MocYs3HBBXIqzZe/PF03MCDPddsU/a5d8r1O9DYZS12smzjDVEuwVIge6Cb6qpOOAP4UvYttA2QPmtq3TxJf0VNCEdEXXagbN6a59MvCxboZG0utEheiD2HdDAzIrK16dMzISPsU/c6d8r1O9IOD8njmKfro0fcw2nZSQkL3s6umPwDMRG/y6Bm+iT4rmshmsBRQTdED8kkkFNFn/TfXSyd6/ly3dZP3X21S9MPDKZGbsq1MTPhX9G3glEj0SE+oz7StbYWeqtgn0RdF3TBMnbFAGOtm3bru7XVUJfqNG1OVWBamFAh8PNn6MCGL6Mso+l4g+hCKnmGaTWtiIl/Rs4+vdsZGou8R1DEqtS3QrRsfRK9H3SwsyFcbrBsbRV8UXmmj6I8cSQeElUFeHH3e/3K99ElU+pHofXv0jCyiz1P0AwNym6joexB1TPrRFqxbJxsyh4SFsG5M+UlsFL0r0a9aJffZlHWzcaNcllX1x47JEZhZij6vPfLNrUrUTR3tvW3WDbe94WFzmy9S9EB3YrNI9D2CpUb0QqSNOQTR6/PFqtsA/hU9RxO5Knp1dif1orTtjGXLqaxPzzcGvd58rGwUfbRuyoGv9eOPN6dV8EX0qgUcib4lWGrWDZCqX26wq1e771MnetNkESE9eqB7dOziorxgyxC9qubVz6EU/eNJAvAXvahzvY2iXypEH0rRm2wbQBI9lzfrBm9D9JzDCWgHr0Six9JTgHYTaAAAEANJREFU9EBK9Dwi1aeiLyJ6/QLiC8FV0QPdnczPPy/JvoxHrxM9+982Hj1QXtEz0euJ7Hwo+ry2XEdKbEZbFX3W/EbqfAR5it7UGasHckSibxmWsqL/1rck0VS5mKoS/fCwJFmdaMtAt25sB0sB8oLkMqiwVfQrVsgRk2UV/WOPyf8+6aTO9TYeepZHz5+jojfDRtEzshS9Pm+sSdGrn9vAK5HosTQV/Z49UpV87WvAz/98tX3yhcgEX+TR6xfE+DiwaRMqQbduyhA9kE5gosKW6AG3WPrHHwdOPrn7eJRR9DHqphzKEH0Vj1793Aai95TOv7exFIl+717g1lvlRXjJJdX2WVXRf+xj3dOzlcXkpPTkecIIH0TP6thmCPuGDW4evWn+AR8efZsGTOkzMtliYUFGJvm8LvlcVlH0vUj0UdGjXSckNJYtkypw717gn/5JNvizz662Tx5o5toZ+9KXAmedVa0MfANjgi9L9KOj3UQ/MCCPlU27cEmD8Pjj3R2xXBYgfNRN2z1639MIAv4U/exs57gR0/Zt4pVI9Fhaih6QpLhzJ/DlL8uJsn2MBlbnjS2r6H1AHx1bluhPPDGNnlGxYkU564ZTMRfh0CF5szUpehsi3rJFPgldfHHn+jZaN64zTPmeGBwo1xmbp+iB9EmlF4g+Wjdo1wmpA+vWSZI/cqS6bcNQib6sR+8Der6bffukIreNJrrlFjOhfPKTwKmnFv9+40Z5we/dm60WVTzxhFzmWTdFWTM/8pHu9W20bvpR0QPSvpmcjETfM1iKiv7ee6VaveACP/tsWtHraRD27QOOO06SfZnf63jnO+1+zyGWO3faEf1jj8mlK9FnwSbq5qSTZHlf+tLy+y+LKkQfUtFXIXo9J30vEH20bhAmP3ebwaT2hjf4U0ujo+mF2Rbrxta28QG2fWx9+qwYesCuMzYLNtYNW3dq7vhQGB1tp6L3Yd30EtFHRY+lqeiB6mGVKsbG8hX98LC0G4QIY90wqbN1s3t3vUSvKnobPP64fOIwjUiuYq3YWDd1woei90n0r3udzPWkh6Uyylo3QG8QPQkhmi5DB84880yxfft2tx+///3AffeV/tmePcCPHpAdclst/Nhex86dwONPAGef5Y90v7MdWDYG/PRPy7lMH38COOccYFB5ZvzmN4FF0b3eF/7t39Kb2K7dUmWf8mL//2PCopD123Ky7Cgtwve/LxOanXFG93eHDgPf/S5w4gnA1q3lynHwEPC978lonpMqjk3wgUcfk7NvnfPq8r/luvzMy+RNsQ7MzQF33iXfn/UK801megb49reBl2yVs4tltffvbAeOHgVeeXYJsn/5y4E//mOnshPRvUKIM03fRUWPNLnRgCHJUT9iwwbg+PV+lfXAQBpxwkvdHx8YABaPmZNJ+cDwiCR4QA5E2nJymP8xYYDkU8uspXqdnskeCczHjRxuhvzbtrTlAQKEZSSSDpHRjkJCjUDLaqdDyTYLSQZY1sr69vzZ5Tx6hxCiVa8zzjhD1I0vfUkIQIjf/M3a/7pv8OpXC3HeefL9VVcJMTLSvc0JJ8jjfOxYmDJcfLEQGzcKcccdYfZfhNNOE+KNbyzebmFBiOFheZxM+PGP5XF6//vLl+HBB+Vvb7ih/G9D4Hd+RwgiIRYXy//21ltlXe6803+5srC4KMTAgPzf3bvN28zNye+vvlp+/uhHze162za5/siRsGVmANguMng1Knq0y0vrVYyOpmGVWcPWx8akOgul0P72b9O8NU3AdnTsjh3StjF1xALVPPpNm+TTfx0drTYYGZGK99ix8k+QITpji0Akn7QOHcou7/Cw7AtRPXqi7nbdJl6JRI+l1xkbAqOjaR7vqSnzhNyjo2FJuE5CMGHjRuCee4q3y0pPzKgSdbNihfS12wImubm58kQfIrzSBhMTkujz2qqaBoHTbujgdSGCD8qiDe5R44hEXx0cdfOv/wr89V/LTlnTNm1o9KGwYYPs2C+KMskLrQSqxdG3DSrRl0UTih5II2/y2qqaqjiP6EdGwvVJlYE10RPRVUT0NBHNENFdRLStYPs3EdEPiGiWiB4hondVL24YtOkRq1cxOiptize/Gdi8Gfi//7d7m7Gx5myVOsCx9M8+m7/d44/LNpeVsXN8XB7POsNDQ6EK0X//+3KphjzWAf4/H4q+LZxipa+I6AoAnwAgABwGcBaArxLRS4QQXc2aiE4H8E/J/g8CeDGAvyKivUKIL/sqvC9ERV8do6Nyso+TTwZuu8088rDfiV6dgOTknIifrPTEjGXLpP3yghf4L2PdcCX6u+8G/uiPgHe/O3twUygw0eflgFJz0vcC0RcqeiIiAB9KPl4GYC2AbwBYCeC9GT/7ICTJ3yiEWA3gfyXrr6pU2kCIir46tmyRiva227KV6uho/1s3QHGHbFZ6YhUvfWnzfQ4+4EL0U1PAu94l25FjSHklTExIks+zXHpN0dtYN1sBbASwCOAmIcQCgJuS77IypZyfLPkB/q+T5SuJyNBN1yyioq+Oj3xEEtiLcwYo9buiL0qDcOAA8A//APz4x9kdsf0GJrpdu9J48yJcdRXw8MPA5z5XbYpLV0xMFLfTk06S5/Ftb5NlbTvR2+irU5LlfiFEEkCHHdp3/w4imgCwXtuOlwMAXgjgR+WLGg6cCCprWHREMYiKG3W/d8auXSvFwgc+AFx9NbBmTXpMFhaARx+Vg8lWrABe//pmy1oXOMXDq14lLamTTspvA0IADz4IvO99wPnnZ28XEhMTxe30d39XtudPf1oqe9NTbK8RfZKrDVPKumntO9P26m+mM74HABDR5QAuB4DNmzdbFMkvXvxi4O//XnYkRoTDe94jh4v3KwYGgL/7OxlieeBAOuMVIG+E73gH8JrXANu29feTjYoLLwS++lXgoYfkE9+OHcU5+y+8EPjEJ+opnwm//MvAT/1U/jarV8syfvjDwGc/a37y+LVfk/VtAwpz3RDRLwH4GwBPCSFOTtadD+BrAOaFECPa9huRKvgXCiGeIKIBAMmAYbxKCHFn1v9VynUTERERsUSRl+vGxqM/nCxVb50nMDPN9KnOEMm/USc8qzg7aEREREREGdgQfTK8A2uJiOMA2JF6VN9YCHEYQDKRGzZq2y8q+4uIiIiIqAE2RP8AgD3JtpcS0RCAtyff3Z7xmzuS5aWJbfNLyedvKx26ERERERE1oJDohRCLAK5JPt4A4ACAcwEcAXA9EW0ioh3Ji5X7HwBYAPBOSKvmt5P1v++x7BERERERFrBKgSCEuA7AlQCeBjAC4B4AFwohdkBG7mxMXkPJ9t8GcBGA+5PtHwNwmRDi//muQEREREREPqyjmoUQ1wK41rD+SQBdY8iEEP8M4J+rFC4iIiIiojpi9sqIiIiIPkck+oiIiIg+R+smByeiPQB+UmEX6wDs9VSctmMp1RWI9e1nLKW6AmHqe7IQwpjrs3VEXxVEtD1rdFi/YSnVFYj17WcspboC9dc3WjcRERERfY5I9BERERF9jn4k+s80XYAasZTqCsT69jOWUl2Bmuvbdx59REREREQn+lHRR0REREQoiEQfERER0efoG6InoquI6GkimiGiu4hoW9Nl8gEiGiOi3yaih4noKBH9iIjel2QFBRENEdG1RLSbiKaJ6CtE1DXFY6+BiE4goueJSBDRlmRdv9b1HCL6VyKaSpIDXkNEw8l3fVNnIpogoj8koieSuj5IRL9BJKfh7pe6EtGtSbt9t7Y+l6OS4/OXRHSAiA4T0eeJaD18QAjR8y8AVwAQkPnuDybvDwI4semyeajbTUl9BGTmUH7/u8n31yWfFyAniREAngQw3nTZK9b775W6bunXugL4OQCzSV0OQc7EJgD8fr/VGcDfJeU/BjlnBZ/fq/qlrgoXCQDvNqzP5CgA/5Csn4WchlUA+DaSvtRK5Wr6wHg4sAQ5daEA8MuQidruSD7/XtPlq1i3zUqjOS9Z98Hk82EAEwBmks/nQ87k9VDy+VeaLn+Fer9RqbcAsKWP67o9qcOfJG35Lcnnh/upzpCzzS0kZf8Pybork8/f7fW6AlgPmcZdbbfvTr4r5CgApyaf5wFsBXA80pvhBVXL1w/WzVbIFMmLAG4SQixAqmAAuKCxUvnBKgA3A7hFCMGTvNySLFcA+AUAowB2CSG+LoSYglQFQI/WnYiWA7geUtWoeBX6r66bAJyRfPxjIa/4L0Iq2FPRX3UeQbdVzFlvd6H36/rnAC6DTM2+X/vOhqPOT5bbhRAPCSGeA/AVbRtn9APRs4e3X6SzV+3QvutJCCF+IIR4mxDiTcrqVyfLowBWJu/VueZ7ve5XAzgZwMe19VyffqrrTynvX0dEuyFV3NVENIg+qrMQ4iBScrubiPZBTkT0IwDvQ+/X9QjkhEuvRDrPNsOGo4LW3zoffYvBZDelrJvWvusLENFWAJ9IPv41+qzuRHQa5EX/MCQJfEz5uq/qmuA45f2fQZLFBKQ9N5O8gP6p868DOBPSpuC6L0LaFb1+ft8thDgGAEnfsgqbugWtfz8o+jx0HfFeRRJ98DXIC2QngP9Z9JPghfKIRMF+BsAggPcIIXTrJvfnYUoVHOr1d50QYiWAtyWfP1jw256qcxJZ8/8gSf4dkLbkpwG8DMDnin4etnTVwSTvAJu6Va5/PxA9PyYtU9aNJ8uDNZclCBKSvwPS59sP4I1CiP3or7r/d0i19zdCiK8bvu+nujLUcn8OAIQQNyfrx9BfdT4LMsLoh0KIm4QQhwD8TvLduZBPM0B/1FWHzXkMeq77gegfT5ZriWgsec+TlD/aQHm8gogmITtlNkCS/GuEEN9Pvua6b1R+0qt1vyRZXprEIKu5OZ6AnGge6I+6Mh5S3i9X3i8kS35k74c6b0mW6nlVVfCBZNkPddVhw1FBr+V+IPoHAOyBrMulRDQE4O3Jd7dn/qp38DnIi2QOwOuFEN9TvvsWJClsIKLXENE4UsLstbrvgbSk1BdjF2RHXr/UFQAghHgE6UX8ASIaJKILAayF9Gr/Ev1TZyaylxHR65L3v54sd0JGG/VLXXXYcNQdyXIbEb2EiI4H8FptG3c0HX/qKYb1N5DGrh5WlpuaLlvFep2h1GsWshdefW2CjL/mbY4kyx0Aljddfg/11wdM9V1dIUNkF5U2y+9/t9/qDPlkynU5qLy/vJ/qCjnISx8wVchRAL6AdEAZD5i6F8BA5TI1fVA8HtwPAngqIcRvAzi76TJ5qNPvKI3D9NoCGTl1DYDdkL30twF4SdNl91R/nej7sq4Afh4y/noW0qb6TaSZZfumzpD21O9BPsXMQlpXlynf90VdTUSfrM/lKMixMX8BadEeAfCPADb4KFNMUxwRERHR5+gHjz4iIiIiIgeR6CMiIiL6HJHoIyIiIvockegjIiIi+hyR6CMiIiL6HJHoIyIiIvockegjIiIi+hyR6CMiIiL6HP8f9GtS4bDCQ6QAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"prop = 3\n",
"num_reps = 1000\n",
"a = 0\n",
"#booted_ps = 0\n",
"length = np.shape(boot_props_poly)[2]\n",
"for pos in np.arange(length):\n",
" if nonBoot_polyStd[prop,pos] == 0 and nonBoot_monoStd[prop,pos] == 0:\n",
" p_boot = 1 \n",
" if pos == 0:\n",
" booted_ps = p_boot\n",
" else:\n",
" booted_ps = np.vstack((booted_ps,p_boot))\n",
" continue\n",
" exp_diff = (nonBoot_poly[prop,pos] - nonBoot_mono[prop,pos])\n",
" z0 = (nonBoot_poly[prop,pos] - nonBoot_mono[prop,pos])/np.sqrt((nonBoot_polyStd[prop,pos]**2)/num_poly + (nonBoot_monoStd[prop,pos]**2)/num_mono)\n",
" a = 0\n",
" for i in np.arange(num_reps):\n",
" #if boot_props_polyStd[i,prop,pos] == 0 and boot_props_polyStd[i,prop,pos] == 0:\n",
" if boot_props_polyStd_null[i,prop,pos] == 0 and boot_props_polyStd_null[i,prop,pos] == 0:\n",
" continue\n",
" z_r = (boot_props_poly_null[i,prop,pos] - boot_props_mono_null[i,prop,pos])/np.sqrt((boot_props_polyStd_null[i,prop,pos]**2)/num_poly + (boot_props_monoStd_null[i,prop,pos]**2)/num_mono)\n",
" #z_r = (boot_props_poly[i,prop,pos] - boot_props_mono[i,prop,pos] - exp_diff)/np.sqrt((boot_props_polyStd[i,prop,pos]**2)/num_poly + (boot_props_monoStd[i,prop,pos]**2)/num_mono)\n",
"\n",
" if z_r**2 >= z0**2:\n",
" a = a + 1\n",
"\n",
" p_boot = (a+1)/(num_reps+1)\n",
" # Need to turn this into a float for some weird reason\n",
" if pos == 0:\n",
" booted_ps = p_boot\n",
" else:\n",
" booted_ps = np.vstack((booted_ps,p_boot))\n",
"\n",
"pl.plot(booted_ps,color='blue')\n",
"pl.plot(np.arange(length),0.05*np.ones(length),color='r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# At the very bottom here is how I compile my bootstrapped properties. This is necessary because of how I actually run the bootstraps (as \"swarms of bootstraps\" across multiple high performance compute nodes.\n",
"I'll be sure to include that code in some directory at some point..."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# CONCATENATE ALL OF THE FILES\n",
"#set = 'mouseParse'\n",
"dir1 = '/Users/boughter/Desktop/data2020/marta_fabs/CDR_jupyter/booted/'\n",
"\n",
"#dir2 = 'null_'+set+'/non_compile'\n",
"#dir2 = set+'_midway_boot/non_compile'\n",
"# This directory is used for the full dataset, what appears in the paper\n",
"#dir2 = 'full_permute'\n",
"\n",
"# This directory is for the therapeutics, obviously\n",
"#dir2 = 'THERA_midwayBoot070120'\n",
"dir2 = 'parse_permute'\n",
"\n",
"dir3 = dir1+dir2\n",
"\n",
"# 112 is not the number of locations, but instead the number of\n",
"# nodes that these were run on\n",
"for i in np.arange(112):\n",
" a = i + 1\n",
" x = np.load(dir3+'/len_poly_boot.'+str(a)+'.npy')\n",
" y = np.load(dir3+'/len_mono_boot.'+str(a)+'.npy')\n",
" x1 = np.load(dir3+'/lenStd_poly_boot.'+str(a)+'.npy')\n",
" y1 = np.load(dir3+'/lenStd_mono_boot.'+str(a)+'.npy')\n",
" \n",
" b = np.load(dir3+'/sinAvg_poly_boot.'+str(a)+'.npy')\n",
" c = np.load(dir3+'/sinAvg_mono_boot.'+str(a)+'.npy')\n",
" b1 = np.load(dir3+'/sinStd_poly_boot.'+str(a)+'.npy')\n",
" c1 = np.load(dir3+'/sinStd_mono_boot.'+str(a)+'.npy')\n",
" \n",
" d = np.load(dir3+'/dset_poly_boot.'+str(a)+'.npy')\n",
" e = np.load(dir3+'/dset_mono_boot.'+str(a)+'.npy')\n",
" \n",
" aa = np.load(dir3+'/MI_poly_boot.'+str(a)+'.npy')\n",
" bb = np.load(dir3+'/MI_mono_boot.'+str(a)+'.npy')\n",
" \n",
" #yy = np.load(dir3+'/count_poly_boot.'+str(a)+'.npy')\n",
" #zz = np.load(dir3+'/count_mono_boot.'+str(a)+'.npy')\n",
" \n",
" if i ==0:\n",
" avg1 = x\n",
" avg2 = y\n",
" std1 = x1\n",
" std2 = y1\n",
" \n",
" avg3 = b\n",
" avg4 = c\n",
" std3 = b1\n",
" std4 = c1\n",
" \n",
" poly = d\n",
" mono = e\n",
" \n",
" MIp = aa\n",
" MIm = bb\n",
" \n",
" # countp = yy\n",
" # countm = zz\n",
" else:\n",
" avg1 = np.vstack((avg1,x))\n",
" avg2 = np.vstack((avg2,y))\n",
" std1 = np.vstack((std1,x1))\n",
" std2 = np.vstack((std2,y1))\n",
" ##\n",
" avg3 = np.vstack((avg3,b))\n",
" avg4 = np.vstack((avg4,c))\n",
" std3 = np.vstack((std3,b1))\n",
" std4 = np.vstack((std4,c1))\n",
" \n",
" poly = np.vstack((poly,d))\n",
" mono = np.vstack((mono,e))\n",
" \n",
" MIp = np.vstack((MIp,aa))\n",
" MIm = np.vstack((MIm,bb))\n",
" \n",
" # countp = np.vstack((countp,yy))\n",
" # countm = np.vstack((countm,zz))\n",
"\n",
"#dir2 = 'null_'+set\n",
"#dir2 = set+'_midway_boot'\n",
"\n",
"dir3 = dir1+dir2\n",
"\n",
"np.save(dir3+'/len_poly_boot_all',avg1)\n",
"np.save(dir3+'/len_mono_boot_all',avg2)\n",
"np.save(dir3+'/len_polyStd_boot_all',std1)\n",
"np.save(dir3+'/len_monoStd_boot_all',std2)\n",
"\n",
"np.save(dir3+'/sinAvg_poly_boot_all',avg3)\n",
"np.save(dir3+'/sinAvg_mono_boot_all',avg4)\n",
"np.save(dir3+'/sinStd_poly_boot_all',std3)\n",
"np.save(dir3+'/sinStd_mono_boot_all',std4)\n",
"\n",
"np.save(dir3+'/dset_poly_boot_all',poly)\n",
"np.save(dir3+'/dset_mono_boot_all',mono)\n",
"\n",
"np.save(dir3+'/MI_poly_boot_all',MIp)\n",
"np.save(dir3+'/MI_mono_boot_all',MIm)\n",
"\n",
"#np.save(dir3+'/count_poly_boot_all',countp)\n",
"#np.save(dir3+'/count_mono_boot_all',countm)"
]
}
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