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import torch | |
def calc_mean_std(feat, eps=1e-5): | |
# eps is a small value added to the variance to avoid divide-by-zero. | |
size = feat.size() | |
assert len(size) == 4 | |
N, C = size[:2] | |
feat_var = feat.view(N, C, -1).var(dim=2) + eps | |
feat_std = feat_var.sqrt().view(N, C, 1, 1) | |
feat_mean = feat.view(N, C, -1).mean(dim=2).view(N, C, 1, 1) | |
return feat_mean, feat_std | |
def calc_mean_std1(feat, eps=1e-5): | |
# eps is a small value added to the variance to avoid divide-by-zero. | |
size = feat.size() | |
# assert (len(size) == 4) | |
WH, N, C = size | |
feat_var = feat.var(dim=0) + eps | |
feat_std = feat_var.sqrt() | |
feat_mean = feat.mean(dim=0) | |
return feat_mean, feat_std | |
def normal(feat, eps=1e-5): | |
feat_mean, feat_std = calc_mean_std(feat, eps) | |
normalized = (feat - feat_mean) / feat_std | |
return normalized | |
def normal_style(feat, eps=1e-5): | |
feat_mean, feat_std = calc_mean_std1(feat, eps) | |
normalized = (feat - feat_mean) / feat_std | |
return normalized | |
def _calc_feat_flatten_mean_std(feat): | |
# takes 3D feat (C, H, W), return mean and std of array within channels | |
assert feat.size()[0] == 3 | |
assert isinstance(feat, torch.FloatTensor) | |
feat_flatten = feat.view(3, -1) | |
mean = feat_flatten.mean(dim=-1, keepdim=True) | |
std = feat_flatten.std(dim=-1, keepdim=True) | |
return feat_flatten, mean, std | |
def _mat_sqrt(x): | |
U, D, V = torch.svd(x) | |
return torch.mm(torch.mm(U, D.pow(0.5).diag()), V.t()) | |
def coral(source, target): | |
# assume both source and target are 3D array (C, H, W) | |
# Note: flatten -> f | |
source_f, source_f_mean, source_f_std = _calc_feat_flatten_mean_std(source) | |
source_f_norm = ( | |
source_f - source_f_mean.expand_as(source_f) | |
) / source_f_std.expand_as(source_f) | |
source_f_cov_eye = torch.mm(source_f_norm, source_f_norm.t()) + torch.eye(3) | |
target_f, target_f_mean, target_f_std = _calc_feat_flatten_mean_std(target) | |
target_f_norm = ( | |
target_f - target_f_mean.expand_as(target_f) | |
) / target_f_std.expand_as(target_f) | |
target_f_cov_eye = torch.mm(target_f_norm, target_f_norm.t()) + torch.eye(3) | |
source_f_norm_transfer = torch.mm( | |
_mat_sqrt(target_f_cov_eye), | |
torch.mm(torch.inverse(_mat_sqrt(source_f_cov_eye)), source_f_norm), | |
) | |
source_f_transfer = source_f_norm_transfer * target_f_std.expand_as( | |
source_f_norm | |
) + target_f_mean.expand_as(source_f_norm) | |
return source_f_transfer.view(source.size()) | |