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Public release: SkinTokens · TokenRig demo
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import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from einops import rearrange
class SimVQ(nn.Module):
"""
Improved version over VectorQuantizer, can be used as a drop-in replacement. Mostly
avoids costly matrix multiplications and allows for post-hoc remapping of indices.
"""
# NOTE: due to a bug the beta term was applied to the wrong term. for
# backwards compatibility we use the buggy version by default, but you can
# specify legacy=False to fix it.
def __init__(self, n_e, e_dim, beta=0.25, remap=None, unknown_index="random",
same_index_shape=False, legacy=True):
super().__init__()
self.n_e = n_e
self.e_dim = e_dim
self.beta = beta
self.legacy = legacy
self.embedding = nn.Embedding(self.n_e, self.e_dim)
self.codebook_size = self.n_e
nn.init.normal_(self.embedding.weight, mean=0, std=self.e_dim**-0.5)
for p in self.embedding.parameters():
p.requires_grad = False
self.embedding_proj = nn.Linear(self.e_dim, self.e_dim)
self.remap = remap
if self.remap is not None:
self.register_buffer("used", torch.tensor(np.load(self.remap)))
self.re_embed = self.used.shape[0]
self.unknown_index = unknown_index # "random" or "extra" or integer
if self.unknown_index == "extra":
self.unknown_index = self.re_embed
self.re_embed = self.re_embed+1
print(f"Remapping {self.n_e} indices to {self.re_embed} indices. "
f"Using {self.unknown_index} for unknown indices.")
else:
self.re_embed = n_e
self.same_index_shape = same_index_shape
def remap_to_used(self, inds):
ishape = inds.shape
assert len(ishape)>1
inds = inds.reshape(ishape[0],-1)
used = self.used.to(inds)
match = (inds[:,:,None]==used[None,None,...]).long()
new = match.argmax(-1)
unknown = match.sum(2)<1
if self.unknown_index == "random":
new[unknown]=torch.randint(0,self.re_embed,size=new[unknown].shape).to(device=new.device)
else:
new[unknown] = self.unknown_index
return new.reshape(ishape)
def unmap_to_all(self, inds):
ishape = inds.shape
assert len(ishape)>1
inds = inds.reshape(ishape[0],-1)
used = self.used.to(inds)
if self.re_embed > self.used.shape[0]: # extra token
inds[inds>=self.used.shape[0]] = 0 # simply set to zero
back=torch.gather(used[None,:][inds.shape[0]*[0],:], 1, inds)
return back.reshape(ishape)
def forward(self, z):
# reshape z -> (batch, height, width, channel) and flatten
z = rearrange(z, 'b c h w -> b h w c').contiguous()
assert z.shape[-1] == self.e_dim
z_flattened = z.view(-1, self.e_dim)
# distances from z to embeddings e_j (z - e)^2 = z^2 + e^2 - 2 e * z
quant_codebook = self.embedding_proj(self.embedding.weight)
d = torch.sum(z_flattened ** 2, dim=1, keepdim=True) + \
torch.sum(quant_codebook**2, dim=1) - 2 * \
torch.einsum('bd,dn->bn', z_flattened, rearrange(quant_codebook, 'n d -> d n'))
min_encoding_indices = torch.argmin(d, dim=1)
z_q = F.embedding(min_encoding_indices, quant_codebook).view(z.shape)
# compute loss for embedding
if not self.legacy:
quantization_loss = self.beta * torch.mean((z_q.detach()-z)**2) + \
torch.mean((z_q - z.detach()) ** 2)
else:
quantization_loss = torch.mean((z_q.detach()-z)**2) + self.beta * \
torch.mean((z_q - z.detach()) ** 2)
# preserve gradients
z_q = z + (z_q - z).detach()
# reshape back to match original input shape
z_q = rearrange(z_q, 'b h w c -> b c h w').contiguous()
if self.remap is not None:
min_encoding_indices = min_encoding_indices.reshape(z.shape[0],-1) # add batch axis
min_encoding_indices = self.remap_to_used(min_encoding_indices)
min_encoding_indices = min_encoding_indices.reshape(-1,1) # flatten
if self.same_index_shape:
min_encoding_indices = min_encoding_indices.reshape(
z_q.shape[0], z_q.shape[2], z_q.shape[3])
return z_q, min_encoding_indices, quantization_loss
def get_codebook_entry(self, indices, shape):
# shape specifying (batch, height, width, channel)
if self.remap is not None:
indices = indices.reshape(shape[0],-1) # add batch axis
indices = self.unmap_to_all(indices)
indices = indices.reshape(-1) # flatten again
# get quantized latent vectors
z_q = self.embedding(indices)
if shape is not None:
z_q = z_q.view(shape)
# reshape back to match original input shape
z_q = z_q.permute(0, 3, 1, 2).contiguous()
return z_q
def indices_to_codes(self, indices):
return self.get_codebook_entry(indices, None)
def entropy(prob):
return (-prob * log(prob)).sum(dim=-1)
class SimVQ1D(SimVQ):
def __init__(self, n_e, e_dim, dim, beta=0.25, remap=None, unknown_index="random", same_index_shape=True, legacy=True):
super().__init__(n_e, e_dim, beta, remap, unknown_index, same_index_shape, legacy)
self.project_in = nn.Linear(dim, e_dim)
self.project_out = nn.Linear(e_dim, dim)
def forward(self, z):
# reshape z -> (batch, height, width, channel) and flatten
#assert z.shape[-1] == self.e_dim
z = self.project_in(z)
z_flattened = z.view(-1, self.e_dim)
# distances from z to embeddings e_j (z - e)^2 = z^2 + e^2 - 2 e * z
quant_codebook = self.embedding_proj(self.embedding.weight)
# # Use IBQ
# logits = torch.matmul(z_flattened, quant_codebook.t())
# Ind_soft = torch.softmax(logits, dim=1)
# indices = torch.argmax(Ind_soft, dim=1)
# Ind_hard = F.one_hot(indices, num_classes=Ind_soft.shape[1])
# Ind = Ind_hard - Ind_soft.detach() + Ind_soft
# z_q = torch.matmul(Ind, quant_codebook).view(z.shape)
# if not self.legacy:
# quantization_loss = self.beta * torch.mean((z_q.detach()-z)**2) + \
# torch.mean((z_q - z.detach()) ** 2)
# else:
# quantization_loss = torch.mean((z_q.detach()-z)**2) + self.beta * \
# torch.mean((z_q - z.detach()) ** 2)
# return z_q, indices, quantization_loss
d = torch.sum(z_flattened ** 2, dim=1, keepdim=True) + \
torch.sum(quant_codebook**2, dim=1) - 2 * \
torch.einsum('bd,dn->bn', z_flattened, rearrange(quant_codebook, 'n d -> d n'))
min_encoding_indices = torch.argmin(d, dim=1)
z_q = F.embedding(min_encoding_indices, quant_codebook).view(z.shape)
# compute loss for embedding
if not self.legacy:
quantization_loss = self.beta * torch.mean((z_q.detach()-z)**2) + \
torch.mean((z_q - z.detach()) ** 2)
else:
quantization_loss = torch.mean((z_q.detach()-z)**2) + self.beta * \
torch.mean((z_q - z.detach()) ** 2)
# preserve gradients
z_q = z + (z_q - z).detach()
if self.remap is not None:
min_encoding_indices = min_encoding_indices.reshape(z.shape[0],-1) # add batch axis
min_encoding_indices = self.remap_to_used(min_encoding_indices)
min_encoding_indices = min_encoding_indices.reshape(-1,1) # flatten
if self.same_index_shape:
min_encoding_indices = min_encoding_indices.view(z.shape[0], z.shape[1])
z_q = self.project_out(z_q.view(z.shape))
return z_q, min_encoding_indices, quantization_loss