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import numpy as np
import torch
import pytorch_lightning as pl
from torch import optim, nn
import torch.nn.functional as F
import wandb
import matplotlib.pyplot as plt
import math
import os
from scipy.io import loadmat
class LpLoss(object):
def __init__(self, d=2, p=2, size_average=True, reduction=True):
super(LpLoss, self).__init__()
assert d > 0 and p > 0
self.d = d
self.p = p
self.reduction = reduction
self.size_average = size_average
def abs(self, x, y):
num_examples = x.size()[0]
h = 1.0 / (x.size()[1] - 1.0)
all_norms = (h**(self.d/self.p))*torch.norm(x.view(num_examples,-1) - y.view(num_examples,-1), self.p, 1)
if self.reduction:
if self.size_average:
return torch.mean(all_norms)
else:
return torch.sum(all_norms)
return all_norms
def rel(self, x, y):
num_examples = x.size()[0]
diff_norms = torch.norm(x.reshape(num_examples,-1) - y.reshape(num_examples,-1), self.p, 1)
y_norms = torch.norm(y.reshape(num_examples,-1), self.p, 1)
if self.reduction:
if self.size_average:
return torch.mean(diff_norms/y_norms)
else:
return torch.sum(diff_norms/y_norms)
return diff_norms/y_norms
def __call__(self, x, y):
return self.rel(x, y)
class RRMSE(object):
def __init__(self, ):
super(RRMSE, self).__init__()
def __call__(self, x, y):
num_examples = x.size()[0]
norm = torch.norm(x.view(num_examples,-1) - y.view(num_examples,-1), 2 , 1)**2
normy = torch.norm( y.view(num_examples,-1), 2 , 1)**2
mean_norm = torch.mean((norm/normy)**(1/2))
return mean_norm
class SpectralConv2d_born(nn.Module):
'''
Input:
x: batch,in, x,y
x_eps: batch,in,x,y
Output: batch,out,x,y
'''
def __init__(self, in_channels, out_channels, modes1, modes2):
super(SpectralConv2d_born, self).__init__()
"""
2D Fourier layer. It does FFT, linear transform, and Inverse FFT.
"""
self.in_channels = in_channels
self.out_channels = out_channels
self.modes1 = modes1 # Number of Fourier modes to multiply, at most floor(N/2) + 1
self.modes2 = modes2
self.scale = 1 / (in_channels * out_channels)
self.weights1 = nn.Parameter(
self.scale * torch.rand(in_channels, out_channels, self.modes1, self.modes2,2, dtype=torch.float32)
)
self.weights2 = nn.Parameter(
self.scale * torch.rand(in_channels, out_channels, self.modes1, self.modes2,2, dtype=torch.float32)
)
def compl_mul2d(self,input, weights):
#print(input.shape,weights.shape)
real = torch.einsum('bixy,ioxy->boxy',input[...,0],weights[...,0])-torch.einsum('bixy,ioxy->boxy',input[...,1],weights[...,1])
comp = torch.einsum('bixy,ioxy->boxy',input[...,0],weights[...,1])+torch.einsum('bixy,ioxy->boxy',input[...,1],weights[...,0])
output = torch.cat((real.unsqueeze(-1),comp.unsqueeze(-1)),dim = -1)
return output
# Complex multiplication
# def compl_mul2d(self, input, weights):
# # (batch, in_channel, x,y ), (in_channel, out_channel, x,y) -> (batch, out_channel, x,y)
# return torch.einsum("bixyz,ioxyz->boxyz", input, weights)
def forward(self, x, x_eps):
batchsize = x.shape[0]
# Compute Fourier coeffcients up to factor of e^(- something constant)
x_ft = torch.view_as_real(torch.fft.rfft2(x * x_eps))
# Multiply relevant Fourier modes
out_ft = torch.zeros(
batchsize, self.out_channels, x.size(-2), x.size(-1) // 2 + 1,2, dtype=torch.float32, device=x.device
)
out_ft[:, :, : self.modes1, : self.modes2] = self.compl_mul2d(
x_ft[:, :, : self.modes1, : self.modes2,:], self.weights1
)
out_ft[:, :, -self.modes1 :, : self.modes2] = self.compl_mul2d(
x_ft[:, :, -self.modes1 :, : self.modes2,:], self.weights2
)
# Return to physical space
x = torch.fft.irfft2(torch.view_as_complex(out_ft), s=(x.size(-2), x.size(-1)))
return x
class FNO_step(nn.Module):
def __init__(self, width, modes1, modes2 ):
super(FNO_step, self).__init__()
self.modes1 = modes1 # Truncate mode of FT in x
self.modes2 = modes2 # Truncate mode of FT in y
self.width = width #image size
self.conv0 = SpectralConv2d_born(self.width, self.width, self.modes1, self.modes2)
self.w0 = nn.Conv2d(self.width, self.width, 1)
self.w1 = nn.Conv2d(self.width, self.width, 1)
self.bn = nn.BatchNorm2d(self.width, eps=0, momentum=0.5, affine=True)
#self.coef = nn.Parameter(torch.ones(1)).cuda()
def forward(self,input):
# Qin Jiu Shao version
x,v_v,v_q,x_0, v_mq= input
x_n = x.clone()
x = self.conv0(x, v_v)
x = x * v_mq+ v_q * x_n
x = self.w1(F.leaky_relu(self.w0(x)))
x = F.leaky_relu(x)
x = x + x_0
x = self.bn(x)
return [x,v_v,v_q,x_0,v_mq]
class S2NO_step_wrap(nn.Module):
def __init__(self, model,width):
super(S2NO_step_wrap, self).__init__()
self.model = model
#self.DC = DC1(self.width, 8, self.width, 3)
self.bn = nn.BatchNorm2d(width, eps=0, momentum=0.5, affine=True)
#self.ln = torch.nn.LayerNorm(489, eps=1e-05, elementwise_affine=True)
def forward(self,input):
# Qin Jiu Shao version
#x = self.DC(x)
[x,v_v,v_q,x_0] = self.model(input)
x = self.bn(x)
return [x,v_v,v_q,x_0]
class S2NO_pretrain(pl.LightningModule):
def __init__(self,width=40,
modes1=128,
modes2=128,
layer_num=7,
padding = 6,
dim_input = 1,
source_type = 'theta',
loss = "rel_l2",
learning_rate = 1e-2,
step_size= 100,
gamma= 0.5,
weight_decay= 1e-5,
F_feature = False,
add_term = False,
eta_min = 2e-4,
val_exp = False,
src_path_breast = '',
gt_path_breast = '',
src_path_arm = '',
gt_path_arm = '',
src_path_limb = '',
gt_path_limb = ''
):
super().__init__()
self.with_grid = True
if self.with_grid == True:
dim_input +=2
self.source_type = source_type
if self.source_type == 'source':
dim_input +=2
elif self.source_type == 'theta':
dim_input +=2
self.padding = padding
self.learning_rate = learning_rate
self.step_size = step_size
self.gamma = gamma
self.weight_decay = weight_decay
self.eta_min = eta_min
if loss == 'l1':
self.criterion = nn.L1Loss()
elif loss == 'l2':
self.criterion = nn.MSELoss()
self.criterion_val = LpLoss()
elif loss == "rel_l2":
self.criterion =LpLoss()
self.criterion_val = RRMSE()
self.modes1 = modes1 # Truncate mode of FT in x
self.modes2 = modes2 # Truncate mode of FT in y
self.width = width #image size
self.padding = padding # pad the domain if input is non-periodic
self.fc_c1 = nn.Linear(3, self.width) # input channel is 3: (c(x, y), x, y)
self.fc_c2 = nn.Linear(self.width, self.width)
self.fc_c3 = nn.Linear(3, self.width) # input channel is 3: (c(x, y), x, y)
self.fc_c4 = nn.Linear(self.width, self.width)
self.fc_0 = nn.Linear(dim_input, self.width) # input channel is 4: (s(x,y),c(x, y), x, y)
self.layer_num = layer_num
self.fno_step = []
for i in range(layer_num):
self.fno_step.append(FNO_step(self.width,self.modes1,self.modes2).to(self.device))
self.net =nn.Sequential(*self.fno_step)
self.F_feature = F_feature
self.add_term = add_term
self.fc1 = nn.Linear(self.width, 256)
self.fc2 = nn.Linear(256, 2)
self.val_iter = 0
self.bn = nn.BatchNorm2d(self.width, eps=0, momentum=0.5, affine=True, track_running_stats=True)
#self.field = torch.tensor(np.load('/root/Fine-tuning-NOs-master/models/field.npy'))
self.val_exp = val_exp
self.save_path = None
self.exp_name = None
self.src_path_breast = src_path_breast
self.gt_path_breast = gt_path_breast
self.src_path_arm = src_path_arm
self.src_path_limb = src_path_limb
self.gt_path_arm = gt_path_arm
self.gt_path_limb = gt_path_limb
if self.val_exp:
data = loadmat('/gpfs/share/home/2201213309/neuralFWI/breast_generator0822/exp_matcode/breast0718.mat')['image']
data = (1500/data-1)*30
sos = torch.tensor(data,dtype=torch.float).view(1,480,480,1)
sos = sos.repeat(64,1,1,1)
self.sos_exp_breast = sos
index_2 = np.arange(0,64).reshape(64,1,1,1)
src = np.load(self.src_path_breast)[:,:,:]*2e-3
src = np.concatenate((np.real(src)[:,:,:,np.newaxis],np.imag(src)[:,:,:,np.newaxis]),axis = -1)
self.src_exp_breast = torch.tensor(src,dtype=torch.float).view(64,480,480,2)
gt_np = loadmat(self.gt_path_breast)['u_all_single']
gt = torch.view_as_real(torch.tensor(gt_np))
self.gt_breast = torch.tensor(gt)
#data = loadmat('/gpfs/share/home/2201213309/neuralFWI/arm_generator1020/code1020/arm450.mat')['data']
data = loadmat('/gpfs/share/home/2201213309/neuralFWI/arm_generator1020/code1020/armcbs1022.mat')['speed']
data = (1500/data-1)*30
sos = torch.tensor(data,dtype=torch.float).view(1,480,480,1)
sos = sos.repeat(64,1,1,1)
self.sos_exp_arm = sos
index_2 = np.arange(0,64).reshape(64,1,1,1)
src = np.load(self.src_path_arm)[:,:,:]*2e-3
#theta = (index_2/64*2*np.pi)*np.ones((1,480,480,1))
src = np.concatenate((np.real(src)[:,:,:,np.newaxis],np.imag(src)[:,:,:,np.newaxis]),axis = -1)
self.src_exp_arm = torch.tensor(src,dtype=torch.float).view(64,480,480,2)
gt_np = loadmat(self.gt_path_arm)['u_all_single']
gt = torch.view_as_real(torch.tensor(gt_np))
self.gt_arm = torch.tensor(gt)
#data = loadmat('/gpfs/share/home/2201213309/neuralFWI/limb_generata0703/code0703/limb0718.mat')['image']
data = loadmat('/gpfs/share/home/2201213309/neuralFWI/limb_regenerator_1031/code1031/limb0718.mat')['image']
data = (1500/data-1)*30
sos = torch.tensor(data,dtype=torch.float).view(1,480,480,1)
sos = sos.repeat(64,1,1,1)
self.sos_exp_limb = sos
index_2 = np.arange(0,64).reshape(64,1,1,1)
src = np.load(self.src_path_limb)[:,:,:]*2e-3
#theta = (index_2/64*2*np.pi)*np.ones((1,480,480,1))
src = np.concatenate((np.real(src)[:,:,:,np.newaxis],np.imag(src)[:,:,:,np.newaxis]),axis = -1)
self.src_exp_limb = torch.tensor(src,dtype=torch.float).view(64,480,480,2)
gt_np = loadmat(self.gt_path_limb)['u_all_single']
gt = torch.view_as_real(torch.tensor(gt_np))
self.gt_limb = torch.tensor(gt)
def forward(self,sos,src):
'''
x: batch,x,y,channel=3 (c(x),s(x))
'''
if self.source_type == 'theta':
src_input = src[:,:,:,:]
elif self.source_type == 'source':
src_input = src[:,:,:,0:2]
# x = torch.cat((sos, src_input), dim=-1)
x_1 = sos
field = src[...,0:2].clone()
grid = self.get_grid(x_1.shape, x_1.device, field)
x_0 = torch.cat((x_1, grid,src_input), dim=-1)
x_c = torch.cat((x_1, grid), dim=-1)
v_0 = self.fc_0(x_0)
v_0 = v_0.permute(0, 3, 1, 2)
if self.padding >=1:
v_0 = F.pad(v_0, [0, self.padding, 0, self.padding])
v_v = self.fc_c2(F.tanh(self.fc_c1(x_c)))
v_v = v_v.permute(0, 3, 1, 2)
if self.padding >=1:
v_v = F.pad(v_v, [0, self.padding, 0, self.padding])
v_q = self.fc_c4(F.tanh(self.fc_c3(x_c)))
v_q = v_q.permute(0, 3, 1, 2)
if self.padding >=1:
v_q = F.pad(v_q, [0, self.padding, 0, self.padding])
v_mq = 1 - v_q
x_1 = v_0
x_out = x_1.clone()
#for i in range(self.layer_num):
[x_out,v_v,v_q,x_1,v_mq] = self.net([x_out,v_v,v_q,x_1, v_mq])
if self.padding >=1:
x_out = x_out[..., : -self.padding, : -self.padding]
x_out = x_out.permute(0, 2, 3, 1)
x_out = self.fc1(x_out)
x_out = F.leaky_relu(x_out)
x_out = self.fc2(x_out)#* self.field.to(x_out.device)
if self.add_term == True:
#x_out = x_out + field
x_out = torch.view_as_real(torch.view_as_complex(field.to(x_out.device))*(1+torch.view_as_complex(x_out)))
return x_out
def get_grid(self, shape, device,field):
batchsize, size_x, size_y = shape[0], shape[1], shape[2]
gridx = torch.tensor(np.linspace(0, 1, size_x), dtype=torch.float)
gridx = gridx.reshape(1, size_x, 1, 1).repeat([batchsize, 1, size_y, 1])
gridy = torch.tensor(np.linspace(0, 1, size_y), dtype=torch.float)
gridy = gridy.reshape(1, 1, size_y, 1).repeat([batchsize, size_x, 1, 1])
#feature = []
gridxy = torch.cat((gridx,gridy), dim=-1).to(device)
#feature.append(gridxy)
# if self.F_feature == True:
# for i in range(-3,4):
# feature.append(torch.sin(2**(-i)*gridxy))
# feature.append(torch.cos(2**(-i)*gridxy))
#feature.append(field)
return gridxy
def training_step(self, batch: torch.Tensor, batch_idx):
sos,src,y,index = batch
batch_size = sos.shape[0]
out = self(sos,src)
loss = self.criterion(out, y)
self.log("loss", loss, on_epoch=True, prog_bar=True, logger=True)
wandb.log({"loss": loss.item()})
return loss
def validation_step(self, val_batch: torch.Tensor, batch_idx):
sos, src, y, index = val_batch
split_index = (index[-1] + index[0])//2
batch_size = sos.shape[0]
out = self(sos, src)
val_loss = self.criterion_val(out.view(batch_size, -1), y.view(batch_size, -1))
return val_loss
# def on_validation_epoch_end(self):
# error = self.validation_exp_breast(device = self.device)
# #self.log('exp_loss_breast', error.item(), on_epoch=True, prog_bar=True, logger=True)
# error = self.validation_exp_arm(device = self.device)
# #self.log('exp_loss_arm', error.item(), on_epoch=True, prog_bar=True, logger=True)
# error = self.validation_exp_limb(device = self.device)
# #self.log('exp_loss_limb', error.item(), on_epoch=True, prog_bar=True, logger=True)
def configure_optimizers(self, optimizer=None, scheduler=None):
if optimizer is None:
optimizer = optim.AdamW(self.parameters(), lr=self.learning_rate, weight_decay=self.weight_decay)
if scheduler is None:
#scheduler = optim.lr_scheduler.CosineAnnealingLR(optimizer,T_max = self.step_size, eta_min= self.eta_min)
scheduler = optim.lr_scheduler.StepLR(optimizer, step_size = 6, gamma = 0.1)# 6 0.5
return {
"optimizer": optimizer,
"lr_scheduler": {
"scheduler": scheduler
},
}