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contextual_loss.py
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import torch
from torch.autograd import Variable
import torch.nn.functional as F
import numpy as np
import time
import utils
def pairwise_distances_sq_l2(x, y):
x_norm = (x**2).sum(1).view(-1, 1)
y_t = torch.transpose(y, 0, 1)
y_norm = (y**2).sum(1).view(1, -1)
dist = x_norm + y_norm - 2.0 * torch.mm(x, y_t)
return torch.clamp(dist, 1e-5, 1e5)/x.size(1)
def pairwise_distances_cos(x, y):
x_norm = torch.sqrt((x**2).sum(1).view(-1, 1))
y_t = torch.transpose(y, 0, 1)
y_norm = torch.sqrt((y**2).sum(1).view(1, -1))
dist = 1.-torch.mm(x, y_t)/x_norm/y_norm
return dist
def get_DMat(X,Y,h=1.0,cb=0,splits=[128*3+256*3+512*4], cos_d=True):
n = X.size(0)
m = Y.size(0)
M = utils.to_device(Variable(torch.zeros(n,m)))
if 1:
cb = 0
ce = 0
for i in range(len(splits)):
if cos_d:
ce = cb + splits[i]
M = M + pairwise_distances_cos(X[:,cb:ce],Y[:,cb:ce])
cb = ce
else:
ce = cb + splits[i]
M = M + torch.sqrt(pairwise_distances_sq_l2(X[:,cb:ce],Y[:,cb:ce]))
cb = ce
return M
def viz_d(zx,coords):
viz = zx[0][:,:1,:,:].clone()*0.
for i in range(coords.shape[0]):
vizt = zx[0][:,:1,:,:].clone()*0.
for z in zx:
cx = int(coords[i,0]*z.size(2))
cy = int(coords[i,1]*z.size(3))
anch = z[:,:,cx:cx+1,cy:cy+1]
x_norm = torch.sqrt((z**2).sum(1,keepdim=True))
y_norm = torch.sqrt((anch**2).sum(1,keepdim=True))
dz = torch.sum(z*anch,1,keepdim=True)/x_norm/y_norm
vizt = vizt+F.upsample(dz,(viz.size(2),viz.size(3)),mode='bilinear')*z.size(1)
viz = torch.max(viz,vizt/torch.max(vizt))
vis_o = viz.clone()
viz = viz.data.cpu().numpy()[0,0,:,:]/len(zx)
return vis_o
def remd_loss(X,Y, h=None, cos_d=True, splits= [3+64+64+128+128+256+256+256+512+512],return_mat=False):
d = X.size(1)
if d == 3:
X = utils.rgb_to_yuv_pc(X.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
Y = utils.rgb_to_yuv_pc(Y.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
else:
X = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Y = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
#Relaxed EMD
CX_M = get_DMat(X,Y,1.,cos_d=True, splits=splits)
if return_mat:
return CX_M
if d==3:
CX_M = CX_M+get_DMat(X,Y,1.,cos_d=False, splits=splits)
m1,m1_inds = CX_M.min(1)
m2,m2_inds = CX_M.min(0)
if m1.mean() > m2.mean():
used_style_feats = Y[m1_inds,:]
else:
used_style_feats = Y
remd = torch.max(m1.mean(),m2.mean())
return remd, used_style_feats
def remd_loss_g(X,Y, GX, GY, h=1.0, splits= [3+64+64+128+128+256+256+256+512+512]):
d = X.size(1)
if d == 3:
X = utils.rgb_to_yuv_pc(X.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
Y = utils.rgb_to_yuv_pc(Y.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
GX = utils.rgb_to_yuv_pc(GX.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
GY = utils.rgb_to_yuv_pc(GY.transpose(0,1).contiguous().view(d,-1)).transpose(0,1)
else:
X = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Y = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
GX = GX.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
GY = GY.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
c1 = 10000.
c2 = 1.
CX_M = get_DMat(X,Y,1.,cos_d=True, splits=splits)
if d==3:
CX_M = CX_M+get_DMat(X,Y,1.,cos_d=False, splits=splits)
CX_M_2 = get_DMat(GX,GY,1.,cos_d=True, splits=splits)+get_DMat(GX,GY,1.,cos_d=False, splits=splits)#CX_M[i:,i:].clone()
for i in range(GX.size(0)-1):
CX_M_2[(i+1):,i] = CX_M_2[(i+1):,i]*1000.
CX_M_2[i,(i+1):] = CX_M_2[i,(i+1):]*1000.
m1,m1_inds = CX_M.min(1)
m2,m2_inds = CX_M.min(0)
m2,min_inds = torch.topk(m2,m1.size(0),largest=False)
if m1.mean() > m2.mean():
used_style_feats = Y[m1_inds,:]
else:
used_style_feats = Y[min_inds,:]
m12,_ = CX_M_2.min(1)
m22,_ = CX_M_2.min(0)
used_style_feats = Y[m1_inds,:]
remd = torch.max(m1.mean()*h,m2.mean())+c2*torch.max(m12.mean()*h,m22.mean())
return remd, used_style_feats
def moment_loss(X,Y,moments=[1,2]):
d = X.size(1)
ell = 0.
Xo = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Yo = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
splits = [Xo.size(1)]
cb = 0
ce = 0
for i in range(len(splits)):
ce = cb + splits[i]
X = Xo[:,cb:ce]
Y = Yo[:,cb:ce]
cb = ce
mu_x = torch.mean(X,0,keepdim=True)
mu_y = torch.mean(Y,0,keepdim=True)
mu_d = torch.abs(mu_x-mu_y).mean()
if 1 in moments:
ell = ell + mu_d
if 2 in moments:
sig_x = torch.mm((X-mu_x).transpose(0,1), (X-mu_x))/X.size(0)
sig_y = torch.mm((Y-mu_y).transpose(0,1), (Y-mu_y))/Y.size(0)
sig_d = torch.abs(sig_x-sig_y).mean()
ell = ell + sig_d
return ell
def moment_loss_g(X,Y,GX,moments=[1,2]):
d = X.size(1)
ell = 0.
Xo = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Yo = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
GXo = GX.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
betas = torch.pow(get_DMat(Xo, GXo),1)
betas,_ = torch.max(betas,1)
betas = betas.unsqueeze(1).detach()
betas = betas*torch.ge(betas,0.2).float()
splits = [Xo.size(1)]
cb = 0
ce = 0
for i in range(len(splits)):
ce = cb + splits[i]
X = Xo[:,cb:ce]
Y = Yo[:,cb:ce]
cb = ce
mu_x = torch.sum(betas*X,0,keepdim=True)/torch.sum(betas)
mu_y = torch.mean(Y,0,keepdim=True)
mu_d = torch.abs(mu_x-mu_y).mean()
if 1 in moments:
ell = ell + mu_d
if 2 in moments:
sig_x = torch.mm(((betas*X-mu_x)).transpose(0,1), (betas*X-mu_x))/torch.sum(torch.pow(betas,2))
sig_y = torch.mm((Y-mu_y).transpose(0,1), (Y-mu_y))/Y.size(0)
sig_d = torch.abs(sig_x-sig_y).mean()
ell = ell + sig_d
return ell
def dp_loss(X,Y):
d = X.size(1)
X = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Y = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Xc = X[:,-2:]
Y = Y[:,:-2]
X = X[:,:-2]
if 0:
dM = torch.exp(-2.*get_DMat(Xc,Xc,1., cos_d=False))
dM = dM/dM.sum(0,keepdim=True).detach()*dM.size(0)
else:
dM = 1.
Mx = get_DMat(X,X,1.,cos_d=True,splits=[X.size(1)])
Mx = Mx/Mx.sum(0,keepdim=True)
My = get_DMat(Y,Y,1.,cos_d=True,splits=[X.size(1)])
My = My/My.sum(0,keepdim=True)
d = torch.abs(dM*(Mx-My)).mean()*X.size(0)
return d
def dp_loss_g(X,Y,GX):
d = X.size(1)
X = X.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
Y = Y.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
GX = GX.transpose(0,1).contiguous().view(d,-1).transpose(0,1)
betas,_ = torch.max(torch.pow(get_DMat(X, GX),1),1)
betas = betas.unsqueeze(1).detach()
betas = torch.matmul(betas,betas.transpose(0,1))
Mx = get_DMat(X,X,1.,splits=[X.size(1)])
Mx = Mx/Mx.sum(0,keepdim=True)
My = get_DMat(Y,Y,1.,splits=[X.size(1)])
My = My/My.sum(0,keepdim=True)
d = torch.abs(betas*(Mx-My)).sum(0).mean()
return d