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survival_analysisi_pca.py
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survival_analysisi_pca.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Wed May 13 08:44:55 2020
"""
import os
import numpy as np
import seaborn as sns
import matplotlib.pyplot as plt
from matplotlib import gridspec
import pandas as pd
import argparse
from tqdm import tqdm
# For preprocessing
from sklearn.preprocessing import StandardScaler,MinMaxScaler,RobustScaler, PowerTransformer
from sklearn_pandas import DataFrameMapper
from sklearn.utils import shuffle
from sklearn.decomposition import PCA
import torch # For building the networks
import torchtuples as tt # Some useful functions
from pycox.models import LogisticHazard,MTLR,DeepHitSingle
from pycox.evaluation import EvalSurv
from lifelines import CoxPHFitter
def load_data(path):
df_all = pd.read_csv(path)
df_all = df_all.dropna()
subreddits = df_all['subreddit'].unique().tolist()
subreddits = shuffle(subreddits,random_state=666)
train = subreddits[:3500]
val = subreddits[3500:3865]
test = subreddits[3865:]
df_test = df_all[df_all['subreddit'].isin(test)]
df_train = df_all[df_all['subreddit'].isin(train)]
df_val = df_all[df_all['subreddit'].isin(val)]
return df_train,df_test,df_val
def transform_data(df_train,df_test,df_val, mod, scale, cols_standardize, log_columns, num_durations=100):
tf_train = df_train.copy()
tf_test = df_test.copy()
tf_val = df_val.copy()
if scale == "minmax":
standardize = [([col], MinMaxScaler()) for col in cols_standardize]
elif scale == "standard":
standardize = [([col], StandardScaler()) for col in cols_standardize]
elif scale == "robust":
standardize = [([col], RobustScaler()) for col in cols_standardize]
elif scale == "power":
standardize = [([col], PowerTransformer()) for col in cols_standardize]
if len(log_columns) != 0:
log_scaler = lambda x: np.log(np.abs(x)+1e-7)
for c in log_columns:
tf_train.loc[:,c] = log_scaler(tf_train.loc[:,c])
tf_val.loc[:,c] = log_scaler(tf_val.loc[:,c])
tf_test.loc[:,c] = log_scaler(tf_test.loc[:,c])
x_mapper = DataFrameMapper(standardize)
x_train = x_mapper.fit_transform(tf_train).astype('float32')
x_val = x_mapper.transform(tf_val).astype('float32')
x_test = x_mapper.transform(tf_test).astype('float32')
pca = PCA(n_components=10,whiten=True)
x_train = pca.fit_transform(x_train)
x_val = pca.transform(x_val)
x_test = pca.transform(x_test)
if mod == "LogisticHazard":
labtrans = LogisticHazard.label_transform(num_durations)
elif mod == "MTLR":
labtrans = MTLR.label_transform(num_durations)
elif mod == "DeepHitSingle":
labtrans = DeepHitSingle.label_transform(num_durations)
get_target = lambda tf: (tf['duration'].values.astype("float32"), tf['event'].values)
y_train = labtrans.fit_transform(*get_target(tf_train))
y_val = labtrans.transform(*get_target(tf_val))
train = (x_train, y_train)
val = (x_val, y_val)
# We don't need to transform the test labels
durations_test, events_test = get_target(tf_test)
return x_mapper, labtrans, train, val, x_test, durations_test, events_test, pca
def initialize_model(dim,labtrans,in_features):
num_nodes = [dim,dim]
out_features = labtrans.out_features
batch_norm = True
dropout = 0.1
net = tt.practical.MLPVanilla(in_features, num_nodes, out_features, batch_norm, dropout)
#model = MTLR(net, tt.optim.Adam, duration_index=labtrans.cuts)
model = LogisticHazard(net, tt.optim.Adam, duration_index=labtrans.cuts)
#model = DeepHitSingle(net, tt.optim.Adam, alpha=0.2, sigma=0.1, duration_index=labtrans.cuts)
return model
def plot_survival(pc_train,pc_col,model,outpath,duration=100,baseline=False):
for i in list(pc_col):
# avg = pd.DataFrame(pc_train[pc_col].median(axis=0)).transpose()
avg = pd.DataFrame(pc_train[pc_col].mean(axis=0)).transpose()
avg = pd.concat([avg]*duration,ignore_index=True)
for j in range(duration):
avg.loc[j,i] = pc_train[i].quantile([(j+1)/duration]).values
# avg_value = x_mapper.transform(avg).astype("float32")
avg_value = avg.values
if baseline == False:
surv = model.predict_surv_df(torch.tensor(avg_value).float())
elif baseline == True:
avg.loc[:,pc_col] = avg_value
surv = model.predict_survival_function(avg)
#surv.iloc[:, :].plot(drawstyle='steps-post')
ax = plt.imshow(surv.T,origin='lower')
plt.colorbar(ax, extend='both')
plt.ylabel('Percentile')
plt.xlabel('Relative life span')
# plt.legend()
plt.title(i)
plt.savefig(outpath+"/%s.png"%(i),dpi=300)
plt.close()
surv.to_csv(outpath+"/"+"%s"%(i))
cols_standardize = ['nodes','edges','density','avg_degree','max_degree','large_com','singletons','betweenness','closeness',
'degree','eigen','pagerank','adjusted_assort','adjusted_gc','adjusted_lc']
'''
cols_standardize = ['nodes','edges','density','assortativity','global_cluster','local_cluster',
'avg_degree','max_degree','large_com','adjusted_assort','adjusted_gc','adjusted_lc']
cols_standardize = ['betweenness','closeness',
'degree','eigen','pagerank']
log_columns = ['nodes','edges', 'density','avg_degree','max_degree','degree','closeness', 'pagerank','betweenness','eigen']
cols_standardize = ['assortativity','global_cluster','local_cluster',
'large_com','singletons','adjusted_assort','adjusted_gc','adjusted_lc']
log_columns = ['nodes','edges', 'density','avg_degree','max_degree']
log_columns = ['degree','closeness', 'pagerank','betweenness','eigen']
'''
#cols_standardize = ['nodes','density','betweenness','closeness','degree','eigen','pagerank']
log_columns = ['nodes','edges', 'density','avg_degree','max_degree','degree','closeness', 'pagerank','betweenness','eigen']
#log_columns = []
names = ['Nodes','Edges','Density','Avg.degree','Max.degree','Large.com','Singletons','Betweenness','Closeness',
'Degree','Eigenvector','Pagerank','Adj.assort','Adj.gc','Adj.lc']
weights = pca.components_
for i in range(1,11):
plt.figure(figsize=(10,8))
plt.rcParams.update({'font.size': 26})
ax = plt.barh(names,weights[i-1],tick_label=names)
[i.set_color("salmon") for n,i in enumerate(ax) if n in [7,8,9,10,11]]
plt.title('PC%s'%(i))
plt.tight_layout()
plt.savefig('./survival/pca/surpc%s.pdf'%(i),dpi=300)
plt.close()
#plt.figure(figsize=(20,10))
plt.rcParams.update({'font.size': 30})
fig, ax = plt.subplots(nrows=1,ncols=5,sharey=True,figsize=(30,9))
ax[0].barh(names,weights[0],tick_label=names)
ax[0].set_title('PC1')
for i in [7,8,9,10,11]:
ax[0].get_children()[i].set_color('salmon')
#[i.set_color("salmon") for n,i in enumerate(ax[0]) if n in [7,8,9,10,11]]
ax[1].barh(names,weights[1],tick_label=names)
ax[1].set_title('PC2')
for i in [7,8,9,10,11]:
ax[1].get_children()[i].set_color('salmon')
ax[2].barh(names,weights[2],tick_label=names)
ax[2].set_title('PC3')
for i in [7,8,9,10,11]:
ax[2].get_children()[i].set_color('salmon')
ax[3].barh(names,weights[5],tick_label=names)
ax[3].set_title('PC6')
for i in [7,8,9,10,11]:
ax[3].get_children()[i].set_color('salmon')
ax[4].barh(names,weights[6],tick_label=names)
ax[4].set_title('PC7')
for i in [7,8,9,10,11]:
ax[4].get_children()[i].set_color('salmon')
plt.tight_layout()
plt.savefig('./figures/sur_pcs.pdf',dpi=300)
#plt.figure(figsize=(20,10))
plt.rcParams.update({'font.size': 30})
fig, ax = plt.subplots(nrows=1,ncols=5,sharey=True,figsize=(30,9))
ax[0].barh(names,weights[3],tick_label=names)
ax[0].set_title('PC4')
for i in [7,8,9,10,11]:
ax[0].get_children()[i].set_color('salmon')
#[i.set_color("salmon") for n,i in enumerate(ax[0]) if n in [7,8,9,10,11]]
ax[1].barh(names,weights[4],tick_label=names)
ax[1].set_title('PC5')
for i in [7,8,9,10,11]:
ax[1].get_children()[i].set_color('salmon')
ax[2].barh(names,weights[7],tick_label=names)
ax[2].set_title('PC8')
for i in [7,8,9,10,11]:
ax[2].get_children()[i].set_color('salmon')
ax[3].barh(names,weights[8],tick_label=names)
ax[3].set_title('PC9')
for i in [7,8,9,10,11]:
ax[3].get_children()[i].set_color('salmon')
ax[4].barh(names,weights[9],tick_label=names)
ax[4].set_title('PC10')
for i in [7,8,9,10,11]:
ax[4].get_children()[i].set_color('salmon')
plt.tight_layout()
plt.savefig('./figures/sur_pcs_more.pdf',dpi=300)
# some hyperparameters
batch_size = 2048
epochs = 3
seeds = [666]#,233,6666,2333,66666,23333,88,888,8888,168]
scalers = ["standard"]
#models = ["LogisticHazard","MTLR","DeepHitSingle"]
models = ["LogisticHazard"]
hiddens = [256]
lrs = [0.001]
# initiate an empty dataframe
results = pd.DataFrame(columns=["random","model","hiddens","lr","scalers","c-index","brier","nll"])
df_train,df_test,df_val = load_data("./summaries/survival_data")
for seed in seeds:
np.random.seed(seed)
_ = torch.manual_seed(seed)
for scale in scalers:
for mod in models:
x_mapper, labtrans, train, val, x_test, durations_test, events_test, pca = transform_data(
df_train,df_test,df_val, mod, scale, cols_standardize, log_columns, num_durations=100)
x_train, y_train = train
for dim in hiddens:
for lr in lrs:
outpath = "./survival/%s_%s_%s_%s_%s"%(mod,scale,dim,lr,seed)
if not os.path.exists(outpath):
os.mkdir(outpath)
in_features = x_train.shape[1]
model = initialize_model(dim,labtrans,in_features)
model.optimizer.set_lr(0.001)
callbacks = [tt.callbacks.EarlyStopping()]
log = model.fit(x_train, y_train, batch_size, epochs, callbacks, val_data=val)
surv = model.predict_surv_df(x_test)
ev = EvalSurv(surv, durations_test, events_test, censor_surv='km')
result = pd.DataFrame([[0]*8],columns=["random","model","hiddens",
"lr","scalers","c-index","brier","nll"])
result["c-index"] = ev.concordance_td('antolini')
print(ev.concordance_td('antolini') )
time_grid = np.linspace(durations_test.min(), durations_test.max(), 100)
result["brier"] = ev.integrated_brier_score(time_grid)
print(ev.integrated_brier_score(time_grid) )
result["nll"] = ev.integrated_nbll(time_grid)
result["lr"] = lr
result["model"] = mod
result["scaler"] = scale
result["random"] = seed
result["hiddens"] = dim
results = pd.concat([results,result],ignore_index=True)
results.to_csv(os.path.join(outpath,"results"))
pc_col = ['PC'+str(i) for i in range(x_train.shape[1])]
pc_train = pd.DataFrame(x_train,columns = pc_col)
plot_survival(pc_train,pc_col,model,outpath,duration=100)
'''
Baseline Cox model
'''
def run_baseline(runs=10):
concordance = []
ibs = []
for i in tqdm(range(runs)):
df_train,df_test,df_val = load_data("./summaries/survival_data")
x_mapper, labtrans, train, val, x_test, durations_test, events_test, pca = transform_data(
df_train,df_test,df_val,'LogisticHazard', "standard", cols_standardize, log_columns, num_durations=100)
x_train, y_train = train
cols = ['PC'+str(i) for i in range(x_train.shape[1])] + ['duration','event']
pc_col = ['PC'+str(i) for i in range(x_train.shape[1])]
cox_train = pd.DataFrame(x_train,columns = pc_col)
cox_test = pd.DataFrame(x_test,columns=pc_col)
# cox_train.loc[:,pc_col] = x_train
cox_train.loc[:,["duration"]] = y_train[0]
cox_train.loc[:,'event'] = y_train[1]
# cox_train = cox_train.drop(columns=[i for i in list(df_train) if i not in cols])
# cox_test.loc[:,pc_col] = x_test
# cox_test = cox_test.drop(columns=[i for i in list(df_train) if i not in cols])
cox_train = cox_train.dropna()
cox_test = cox_test.dropna()
cph = CoxPHFitter().fit(cox_train, 'duration', 'event')
# cph.print_summary()
surv = cph.predict_survival_function(cox_test)
ev = EvalSurv(surv, durations_test, events_test, censor_surv='km')
concordance.append(ev.concordance_td('antolini'))
time_grid = np.linspace(durations_test.min(), durations_test.max(), 100)
ibs.append(ev.integrated_brier_score(time_grid))
print("Average concordance: %s"%np.mean(concordance))
print("Average IBS: %s"%np.mean(ibs))
plot_survival(cox_train,
pc_col,cph,'./survival/cox',baseline=True)
'''
Plotting
lol: 131
ifttt: 36
'''
def plot_word_survival()
data = pd.DataFrame()
for i in [1731244,1731736]:
word = pd.DataFrame(df_test.loc[i,:]).transpose()
data = pd.concat([data,word])
if len(log_columns) != 0:
log_scaler = lambda x: np.log(np.abs(x)+1e-7)
for c in log_columns:
data.loc[:,c] = log_scaler(data.loc[:,c].values.astype(np.float32))
feats = x_mapper.transform(data).astype('float32')
feats = pca.transform(feats)
surv = model.predict_surv_df(feats)
time = surv.index
plt.rcParams.update({'font.size': 12.5})
plt.figure(figsize=(7,3.5))
# sns.set_style('dark')
plt.plot(surv.iloc[:,0],linewidth=2,label='lol - 131 months (LH)')
plt.plot(surv.iloc[:,1],linewidth=2,label='ifttt - 36 months (LH)')
cox_feats = data.copy()
cox_feats.loc[:,pc_col] = feats
cox_feats.drop(columns=['word','subreddit','life-span','min_degree'])
surv = cph.predict_survival_function(cox_feats)
surv.index = time[2:]
plt.plot(surv.iloc[:,0],'--',linewidth=2,label='lol - 131 months (Cox)')
plt.plot(surv.iloc[:,1],'--',linewidth=2,label='ifttt - 36 months (Cox)')
plt.legend()
plt.ylabel("$S(t|x)$")
plt.xlabel("Time (months)")
plt.tight_layout()
plt.savefig('./figures/word_survival.pdf',dpi=300)
plt.close()
def plot_heatmap():
nodes = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_666/PC2',index_col=0)
avg_degree = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_666/PC4',index_col=0)
ic_degree = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_666/PC7',index_col=0)
density = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_666/PC9',index_col=0)
plt.rcParams.update({'font.size': 15})
nodes.index = labtrans.cuts
avg_degree.index = labtrans.cuts
density.index = labtrans.cuts
ic_degree.index = labtrans.cuts
fig, ((ax1,ax2),(ax3,ax4)) = plt.subplots(2, 2, figsize=(8,4),sharex=True, sharey=True,
gridspec_kw={'hspace': 0.3, 'wspace':0.1},squeeze=True)
im = ax1.imshow(nodes.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax1.set_title('PC3')
ax1.margins(0.05)
ax2.imshow(avg_degree.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax2.set_title('PC5')
ax3.imshow(ic_degree.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax3.set_title('PC8')
ax4.imshow(density.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax4.set_title('PC10')
for ax in fig.get_axes():
ax.label_outer()
plt.xlim(0,130)
cb_ax = fig.add_axes([0.93, 0.1, 0.02, 0.8])
cbar = fig.colorbar(im, cax=cb_ax,extend='both',label=r"$S(t|x)$")
fig.text(0.03, 0.5, r"Percentile (%): low $\rightarrow$ high", rotation="vertical", va="center")
fig.text(0.42, 0.02, "Time (months)", va="center")
# fig.tight_layout()
plt.savefig("./figures/more_variables.pdf",dpi=300)
plt.close()
def plot_heatmap():
var1 = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_66666/large_com',index_col=0)
var2 = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_66666/singletons',index_col=0)
var3 = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_66666/local_cluster',index_col=0)
var4 = pd.read_csv('./survival/LogisticHazard_standard_256_0.001_66666/global_cluster',index_col=0)
plt.rcParams.update({'font.size': 15})
var1.index = labtrans.cuts
var2.index = labtrans.cuts
var3.index = labtrans.cuts
var4.index = labtrans.cuts
fig, ((ax1,ax2),(ax3,ax4)) = plt.subplots(2, 2, figsize=(8,4),sharex=True, sharey=True,
gridspec_kw={'hspace': 0.3, 'wspace':0.1},squeeze=True)
im = ax1.imshow(var1.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax1.set_title('Largest Commponent')
ax1.margins(0.05)
ax2.imshow(var2.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax2.set_title('Singletons')
ax3.imshow(var3.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax3.set_title('Clust.Coef.')
ax4.imshow(var4.transpose(),origin='lower',extent=[0,152,0,100], aspect='auto')
ax4.set_title('Transitivity')
for ax in fig.get_axes():
ax.label_outer()
cb_ax = fig.add_axes([0.93, 0.1, 0.02, 0.8])
cbar = fig.colorbar(im, cax=cb_ax,extend='both',label=r"$S(t|x)$")
fig.text(0.03, 0.5, r"Percentile (%): low $\rightarrow$ high", rotation="vertical", va="center")
fig.text(0.42, 0.02, "Time (months)", va="center")
# fig.tight_layout()
plt.savefig("./figures/variables.pdf",dpi=300)
plt.close()