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gGAN.py
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"""Main function of gGAN for the paper: Foreseeing Brain Graph Evolution Over Time
Using Deep Adversarial Network Normalizer
Details can be found in: (https://arxiv.org/abs/2009.11166)
(1) the original paper .
---------------------------------------------------------------------
This file contains the implementation of two key steps of our gGAN framework:
netNorm(v, nbr_of_sub, nbr_of_regions)
Inputs:
v: (n × t x t) matrix stacking the source graphs of all subjects
n the total number of subjects
t number of regions
Output:
CBT: (t x t) matrix representing the connectional brain template
gGAN(sourceGraph, nbr_of_regions, nbr_of_folds, nbr_of_epochs, hyper_param1, CBT)
Inputs:
sourceGraph: (n × t x t) matrix stacking the source graphs of all subjects
n the total number of subjects
t number of regions
CBT: (t x t) matrix stacking the connectional brain template generated by netNorm
Output:
translatedGraph: (t x t) matrix stacking the graph translated into CBT
This code has been slightly modified to be compatible across all PyTorch versions.
(2) Dependencies: please install the following libraries:
- matplotlib
- numpy
- scikitlearn
- pytorch
- pytorch-geometric
- pytorch-scatter
- pytorch-sparse
- scipy
---------------------------------------------------------------------
Copyright 2020 ().
Please cite the above paper if you use this code.
All rights reserved.
"""
# If you are using Google Colab please uncomment the three following lines.
# !pip install torch_geometric
# !pip install torch-sparse==latest+cu101 -f https://pytorch-geometric.com/whl/torch-1.4.0.html
# !pip install torch-scatter==latest+cu101 -f https://pytorch-geometric.com/whl/torch-1.4.0.html
import argparse
import os
import pdb
import numpy as np
import math
import itertools
import torch
from torch.nn import Sequential, Linear, ReLU, Sigmoid, Tanh, Dropout
from sklearn.preprocessing import MinMaxScaler
from sklearn import preprocessing
from torch_geometric.data import Data
from torch.autograd import Variable
import torch.nn.functional as F
import torch.nn as nn
from torch_geometric.nn import NNConv
from torch_geometric.nn import BatchNorm, EdgePooling, TopKPooling, global_add_pool
from sklearn.model_selection import KFold
from sklearn.cluster import KMeans
import matplotlib.pyplot as plt
import scipy.io
import scipy.stats as stats
import random
import seaborn as sns
torch.cuda.empty_cache()
torch.cuda.empty_cache()
# random seed
manualSeed = 1
np.random.seed(manualSeed)
random.seed(manualSeed)
torch.manual_seed(manualSeed)
if torch.cuda.is_available():
device = torch.device('cuda')
print('running on GPU')
# if you are using GPU
torch.cuda.manual_seed(manualSeed)
torch.cuda.manual_seed_all(manualSeed)
torch.backends.cudnn.enabled = False
torch.backends.cudnn.benchmark = False
torch.backends.cudnn.deterministic = True
else:
device = torch.device("cpu")
print('running on CPU')
def netNorm(v, nbr_of_sub, nbr_of_regions):
nbr_of_feat = int((np.square(nbr_of_regions) - nbr_of_regions) / 2)
def upper_triangular():
All_subj = np.zeros((nbr_of_sub, nbr_of_feat))
for j in range(nbr_of_sub):
subj_x = v[j, :, :]
subj_x = np.reshape(subj_x, (nbr_of_regions, nbr_of_regions))
subj_x = subj_x[np.triu_indices(nbr_of_regions, k=1)]
subj_x = np.reshape(subj_x, (1, nbr_of_feat))
All_subj[j, :] = subj_x
return All_subj
def distances_inter(All_subj):
theta = 0
distance_vector = np.zeros(1)
distance_vector_final = np.zeros(1)
x = All_subj
for i in range(nbr_of_feat):
ROI_i = x[:, i]
for j in range(nbr_of_sub):
subj_j = ROI_i[j:j+1]
distance_euclidienne_sub_j_sub_k = 0
for k in range(nbr_of_sub):
if k != j:
subj_k = ROI_i[k:k+1]
distance_euclidienne_sub_j_sub_k = distance_euclidienne_sub_j_sub_k + np.square(subj_k - subj_j)
theta +=1
if j == 0:
distance_vector = np.sqrt(distance_euclidienne_sub_j_sub_k)
else:
distance_vector = np.concatenate((distance_vector, np.sqrt(distance_euclidienne_sub_j_sub_k)), axis=0)
distance_vector = np.reshape(distance_vector, (nbr_of_sub, 1))
if i == 0:
distance_vector_final = distance_vector
else:
distance_vector_final = np.concatenate((distance_vector_final, distance_vector), axis=1)
print(theta)
return distance_vector_final
def minimum_distances(distance_vector_final):
x = distance_vector_final
for i in range(nbr_of_feat):
minimum_sub = x[0, i:i+1]
minimum_sub = float(minimum_sub)
general_minimum = 0
general_minimum = np.array(general_minimum)
for k in range(1, nbr_of_sub):
local_sub = x[k:k+1, i:i+1]
local_sub = float(local_sub)
if local_sub < minimum_sub:
general_minimum = k
general_minimum = np.array(general_minimum)
minimum_sub = local_sub
if i == 0:
final_general_minimum = np.array(general_minimum)
else:
final_general_minimum = np.vstack((final_general_minimum, general_minimum))
final_general_minimum = np.transpose(final_general_minimum)
return final_general_minimum
def new_tensor(final_general_minimum, All_subj):
y = All_subj
x = final_general_minimum
for i in range(nbr_of_feat):
optimal_subj = x[:, i:i+1]
optimal_subj = np.reshape(optimal_subj, (1))
optimal_subj = int(optimal_subj)
if i == 0:
final_new_tensor = y[optimal_subj: optimal_subj+1, i:i+1]
else:
final_new_tensor = np.concatenate((final_new_tensor, y[optimal_subj: optimal_subj+1, i:i+1]), axis=1)
return final_new_tensor
def make_sym_matrix(nbr_of_regions, feature_vector):
my_matrix = np.zeros([nbr_of_regions, nbr_of_regions], dtype=np.double)
my_matrix[np.triu_indices(nbr_of_regions, k=1)] = feature_vector
my_matrix = my_matrix + my_matrix.T
my_matrix[np.diag_indices(nbr_of_regions)] = 0
return my_matrix
def re_make_tensor(final_new_tensor, nbr_of_regions):
x = final_new_tensor
#x = np.reshape(x, (nbr_of_views, nbr_of_feat))
x = make_sym_matrix(nbr_of_regions, x)
x = np.reshape(x, (1, nbr_of_regions, nbr_of_regions))
return x
Upp_trig = upper_triangular()
Dis_int = distances_inter(Upp_trig)
Min_dis = minimum_distances(Dis_int)
New_ten = new_tensor(Min_dis, Upp_trig)
Re_ten = re_make_tensor(New_ten, nbr_of_regions)
Re_ten = np.reshape(Re_ten, (nbr_of_regions, nbr_of_regions))
np.fill_diagonal(Re_ten, 0)
network = np.array(Re_ten)
return network
def gGAN(data, nbr_of_regions, nbr_of_epochs, nbr_of_folds, hyper_param1, CBT):
def cast_data(array_of_tensors, version):
version1 = torch.tensor(version, dtype=torch.int)
N_ROI = array_of_tensors[0].shape[0]
CHANNELS = 1
dataset = []
edge_index = torch.zeros(2, N_ROI * N_ROI)
edge_attr = torch.zeros(N_ROI * N_ROI, CHANNELS)
x = torch.zeros((N_ROI, N_ROI)) # 35 x 35
y = torch.zeros((1,))
counter = 0
for i in range(N_ROI):
for j in range(N_ROI):
edge_index[:, counter] = torch.tensor([i, j])
counter += 1
for mat in array_of_tensors: #1,35,35,4
if version1 == 0:
edge_attr = mat.view((nbr_of_regions*nbr_of_regions), 1)
x = mat.view(nbr_of_regions, nbr_of_regions)
edge_index = torch.tensor(edge_index, dtype=torch.long)
edge_attr = torch.tensor(edge_attr, dtype=torch.float)
x = torch.tensor(x, dtype=torch.float)
data = Data(x=x, edge_index=edge_index, edge_attr=edge_attr)
dataset.append(data)
elif version1 == 1:
edge_attr = torch.randn(N_ROI * N_ROI, CHANNELS)
x = torch.randn(N_ROI, N_ROI) # 35 x 35
edge_index = torch.tensor(edge_index, dtype=torch.long)
edge_attr = torch.tensor(edge_attr, dtype=torch.float)
x = torch.tensor(x, dtype=torch.float)
data = Data(x=x, edge_index=edge_index, edge_attr=edge_attr)
dataset.append(data)
return dataset
# ------------------------------------------------------------
def plotting_loss(losses_generator, losses_discriminator, epoch):
plt.figure(1)
plt.plot(epoch, losses_generator, 'r-')
plt.plot(epoch, losses_discriminator, 'b-')
plt.legend(['G Loss', 'D Loss'])
plt.xlabel('Epoch')
plt.ylabel('Loss')
plt.savefig('./plot/loss' + str(epoch) + '.png')
# -------------------------------------------------------------
class Generator(nn.Module):
def __init__(self):
super(Generator, self).__init__()
nn = Sequential(Linear(1, (nbr_of_regions*nbr_of_regions)), ReLU())
self.conv1 = NNConv(nbr_of_regions, nbr_of_regions, nn, aggr='mean', root_weight=True, bias=True)
self.conv11 = BatchNorm(nbr_of_regions, eps=1e-03, momentum=0.1, affine=True, track_running_stats=True)
nn = Sequential(Linear(1, nbr_of_regions), ReLU())
self.conv2 = NNConv(nbr_of_regions, 1, nn, aggr='mean', root_weight=True, bias=True)
self.conv22 = BatchNorm(1, eps=1e-03, momentum=0.1, affine=True, track_running_stats=True)
nn = Sequential(Linear(1, nbr_of_regions), ReLU())
self.conv3 = NNConv(1, nbr_of_regions, nn, aggr='mean', root_weight=True, bias=True)
self.conv33 = BatchNorm(nbr_of_regions, eps=1e-03, momentum=0.1, affine=True, track_running_stats=True)
def forward(self, data):
x, edge_index, edge_attr = data.x, data.edge_index, data.edge_attr
x1 = F.sigmoid(self.conv11(self.conv1(x, edge_index, edge_attr)))
x1 = F.dropout(x1, training=self.training)
x2 = F.sigmoid(self.conv22(self.conv2(x1, edge_index, edge_attr)))
x2 = F.dropout(x2, training=self.training)
x3 = torch.cat([F.sigmoid(self.conv33(self.conv3(x2, edge_index, edge_attr))), x1], dim=1)
x4 = x3[:, 0:nbr_of_regions]
x5 = x3[:, nbr_of_regions:2*nbr_of_regions]
x6 = (x4 + x5) / 2
return x6
class Discriminator1(torch.nn.Module):
def __init__(self):
super(Discriminator1, self).__init__()
nn = Sequential(Linear(2, (nbr_of_regions*nbr_of_regions)), ReLU())
self.conv1 = NNConv(nbr_of_regions, nbr_of_regions, nn, aggr='mean', root_weight=True, bias=True)
self.conv11 = BatchNorm(nbr_of_regions, eps=1e-03, momentum=0.1, affine=True, track_running_stats=True)
nn = Sequential(Linear(2, nbr_of_regions), ReLU())
self.conv2 = NNConv(nbr_of_regions, 1, nn, aggr='mean', root_weight=True, bias=True)
self.conv22 = BatchNorm(1, eps=1e-03, momentum=0.1, affine=True, track_running_stats=True)
def forward(self, data, data_to_translate):
x, edge_index, edge_attr = data.x, data.edge_index, data.edge_attr
edge_attr_data_to_translate = data_to_translate.edge_attr
edge_attr_data_to_translate_reshaped = edge_attr_data_to_translate.view(nbr_of_regions*nbr_of_regions, 1)
gen_input = torch.cat((edge_attr, edge_attr_data_to_translate_reshaped), -1)
x = F.relu(self.conv11(self.conv1(x, edge_index, gen_input)))
x = F.dropout(x, training=self.training)
x = F.relu(self.conv22(self.conv2(x, edge_index, gen_input)))
return F.sigmoid(x)
# ----------------------------------------
# Training
# ----------------------------------------
n_fold_counter = 1
plot_loss_g = np.empty((nbr_of_epochs), dtype=float)
plot_loss_d = np.empty((nbr_of_epochs), dtype=float)
kfold = KFold(n_splits=nbr_of_folds, shuffle=True, random_state=manualSeed)
source_data = torch.from_numpy(data) # convert numpy array to torch tensor
source_data = source_data.type(torch.FloatTensor)
target_data = np.reshape(CBT, (1, nbr_of_regions, nbr_of_regions, 1))
target_data = torch.from_numpy(target_data) # convert numpy array to torch tensor
target_data = target_data.type(torch.FloatTensor)
for train, test in kfold.split(source_data):
# Loss function
adversarial_loss = torch.nn.BCELoss()
l1_loss = torch.nn.L1Loss()
# Initialize generator and discriminator
generator = Generator()
discriminator1 = Discriminator1()
generator.to(device)
discriminator1.to(device)
adversarial_loss.to(device)
l1_loss.to(device)
# Optimizers
optimizer_G = torch.optim.AdamW(generator.parameters(), lr=0.005, betas=(0.5, 0.999))
optimizer_D = torch.optim.AdamW(discriminator1.parameters(), lr=0.01, betas=(0.5, 0.999))
# ------------------------------- select source data and target data -------------------------------
train_source, test_source = source_data[train], source_data[test] ## from a specific source view
# 1: everything random; 0: everything is the matrix in question
train_casted_source = [d.to(device) for d in cast_data(train_source, 0)]
train_casted_target = [d.to(device) for d in cast_data(target_data, 0)]
for epoch in range(nbr_of_epochs):
# Train Generator
with torch.autograd.set_detect_anomaly(True):
losses_generator = []
losses_discriminator = []
for data_A in train_casted_source:
generators_output_ = generator(data_A) # 35 x35
generators_output = generators_output_.view(1, nbr_of_regions, nbr_of_regions, 1).type(torch.FloatTensor)
generators_output_casted = [d.to(device) for d in cast_data(generators_output, 0)]
for (data_discriminator) in generators_output_casted:
discriminator_output_of_gen = discriminator1(data_discriminator, data_A).to(device)
g_loss_adversarial = adversarial_loss(discriminator_output_of_gen, torch.ones_like(discriminator_output_of_gen))
g_loss_pix2pix = l1_loss(generators_output_, train_casted_target[0].edge_attr.view(nbr_of_regions, nbr_of_regions))
g_loss = g_loss_adversarial + (hyper_param1 * g_loss_pix2pix)
losses_generator.append(g_loss)
discriminator_output_for_real_loss = discriminator1(data_A, train_casted_target[0])
real_loss = adversarial_loss(discriminator_output_for_real_loss,
(torch.ones_like(discriminator_output_for_real_loss, requires_grad=False)))
fake_loss = adversarial_loss(discriminator_output_of_gen.detach(), torch.zeros_like(discriminator_output_of_gen))
d_loss = (real_loss + fake_loss) / 2
losses_discriminator.append(d_loss)
optimizer_G.zero_grad()
losses_generator = torch.mean(torch.stack(losses_generator))
losses_generator.backward(retain_graph=True)
optimizer_G.step()
optimizer_D.zero_grad()
losses_discriminator = torch.mean(torch.stack(losses_discriminator))
losses_discriminator.backward(retain_graph=True)
optimizer_D.step()
print(
"[Epoch %d/%d] [D loss: %f] [G loss: %f]"
% (epoch, nbr_of_epochs, losses_discriminator, losses_generator))
plot_loss_g[epoch] = losses_generator.detach().cpu().clone().numpy()
plot_loss_d[epoch] = losses_discriminator.detach().cpu().clone().numpy()
torch.save(generator.state_dict(), "./weight_" + str(n_fold_counter) + "generator" + "_" + ".model")
torch.save(discriminator1.state_dict(), "./weight_" + str(n_fold_counter) + "dicriminator" + "_" + ".model")
interval = range(0, nbr_of_epochs)
plotting_loss(plot_loss_g, plot_loss_d, interval)
n_fold_counter += 1
torch.cuda.empty_cache()
torch.cuda.empty_cache()
nbr_of_sub = int(input('Please select the number of subjects: '))
if nbr_of_sub < 5:
print("You can not give less than 5 to the number of subjects. ")
nbr_of_sub = int(input('Please select the number of subjects: '))
nbr_of_sub_for_cbt = int(input('Please select the number of subjects to generate the CBT: '))
nbr_of_regions = int(input('Please select the number of regions: '))
nbr_of_epochs = int(input('Please select the number of epochs: '))
nbr_of_folds = int(input('Please select the number of folds: '))
hyper_param1 = 100
nbr_of_feat = int((np.square(nbr_of_regions) - nbr_of_regions) / 2)
data = np.random.normal(0.6, 0.3, (nbr_of_sub, nbr_of_regions, nbr_of_regions))
data = np.abs(data)
independent_data = np.random.normal(0.6, 0.3, (nbr_of_sub_for_cbt, nbr_of_regions, nbr_of_regions))
independent_data = np.abs(independent_data)
CBT = netNorm(independent_data, nbr_of_sub_for_cbt, nbr_of_regions)
gGAN(data, nbr_of_regions, nbr_of_epochs, nbr_of_folds, hyper_param1, CBT)