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Implementa Vector Quantized Variational Autoencoder 2 (Roy et al., 2019),
uma versão hierárquica do VQ-VAE que usa dois níveis de quantização:
- Top level: captura padrões semânticos globais (low-resolution)
- Bottom level: captura detalhes locais (high-resolution)
==============================================================================
ANÁLISE MATEMÁTICA E LÓGICA
==============================================================================
ARQUITETURA:
Input x ∈ R^{B×C×H×W}
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[Bottom Encoder] -> z_b ∈ R^{B×d_b×H×W}
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[Top Encoder] -> z_t ∈ R^{B×d_t×H/2×W/2}
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[Top Quantizer] -> z_t_q (codebook lookup)
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[Top Decoder] -> z_t_dec ∈ R^{B×d_b×H×W}
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[Bottom Quantizer with z_t_dec] -> z_b_q
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[Bottom Decoder] -> x_recon
LOSS:
L = L_recon + beta * L_commit_top + beta * L_commit_bottom
+ gamma * L_codebook_top + gamma * L_codebook_bottom
onde:
L_recon = MSE(x, x_recon) ou L1
L_commit_k = ||sg(z_k) - e_k||^2 (commit loss)
L_codebook_k = ||z_k - sg(e_k)||^2 (codebook loss)
sg = stop-gradient
Update via EMA (Exponential Moving Average) — alternativo ao gradiente:
n_k^{t+1} = gamma_ema * n_k^t + (1 - gamma_ema) * sum_k 1[assigned]
m_k^{t+1} = gamma_ema * m_k^t + (1 - gamma_ema) * sum_k z_k
e_k = m_k / n_k
CODEBOOK:
Top codebook: K_t vetores de dimensão d_t (tipicamente 512-1024 vetores)
Bottom codebook: K_b vetores de dimensão d_b (tipicamente 512-1024 vetores)
==============================================================================
INTEGRAÇÃO COM CNN-BiGRU
==============================================================================
O VQ-VAE-2 é usado para comprimir representações multimodais (imagem, áudio)
em códigos discretos que podem ser processados pelo backbone CNN-BiGRU:
1. Imagem -> VQ-VAE-2 -> códigos top + bottom (tokens discretos)
2. Códigos -> embedding lookup -> [B, T, D]
3. [B, T, D] -> CooperativeCNNBiGRU (como se fosse texto tokenizado)
Isto permite que o modelo trate imagem/áudio da mesma forma que texto,
unificando o pipeline multimodal.
Autor: CNN-BiGRU Project
"""
from __future__ import annotations
import logging
import math
from dataclasses import dataclass, field
from typing import Dict, List, Optional, Tuple
import torch
import torch.nn as nn
import torch.nn.functional as F
logger = logging.getLogger(__name__)
# ============================================================================
# Configuração
# ============================================================================
@dataclass
class VQVAE2Config:
"""Configuração do VQ-VAE-2 hierárquico."""
# Dimensões de entrada (assumindo features [B, C, H, W])
in_channels: int = 1
# Dimensões latentes
bottom_channels: int = 64 # d_b
top_channels: int = 32 # d_t
# Tamanhos dos codebooks
n_bottom_codes: int = 512 # K_b
n_top_codes: int = 512 # K_t
# Beta (commit loss weight)
commitment_cost: float = 0.25
# Gamma (codebook loss weight — apenas para grad update, não EMA)
codebook_cost: float = 0.0
# Usar EMA para atualizar codebook (default: True)
use_ema: bool = True
ema_decay: float = 0.99
# Usar residual connection (z + delta)
use_residual: bool = False
# Número de camadas de down/upsampling
n_downsample: int = 2
# Base channels do encoder/decoder
hidden_channels: int = 64
# Device
device: str = "cpu"
# ============================================================================
# Residual Blocks (para encoder/decoder)
# ============================================================================
def _adaptive_groups(channels: int, max_groups: int = 8) -> int:
"""Computa número de grupos para GroupNorm que divide channels."""
if channels <= 0:
return 1
g = min(max_groups, channels)
while channels % g != 0 and g > 1:
g -= 1
return max(1, g)
class ResidualBlock(nn.Module):
"""Bloco residual simples com Conv2d + GroupNorm + SiLU."""
def __init__(self, channels: int, hidden_channels: Optional[int] = None):
super().__init__()
h = hidden_channels or channels
self.conv1 = nn.Conv2d(channels, h, kernel_size=3, padding=1)
self.conv2 = nn.Conv2d(h, channels, kernel_size=3, padding=1)
# GroupNorm adaptativo por número de canais
self.norm1 = nn.GroupNorm(_adaptive_groups(channels), channels)
# norm2 aplica-se à saída de conv1 (h canais)
self.norm2 = nn.GroupNorm(_adaptive_groups(h), h)
def forward(self, x: torch.Tensor) -> torch.Tensor:
h = F.silu(self.norm1(x))
h = self.conv1(h)
h = F.silu(self.norm2(h))
h = self.conv2(h)
return x + h
# ============================================================================
# Encoder / Decoder (Conv2d-based)
# ============================================================================
class ConvEncoder(nn.Module):
"""Encoder convolucional: reduz resolução espacial por fator 2^n_downsample."""
def __init__(
self,
in_channels: int,
out_channels: int,
hidden_channels: int = 64,
n_downsample: int = 2,
):
super().__init__()
layers = []
c_in = in_channels
for i in range(n_downsample):
c_out = hidden_channels * (2 ** i)
layers.extend([
nn.Conv2d(c_in, c_out, kernel_size=4, stride=2, padding=1),
nn.GroupNorm(_adaptive_groups(c_out), c_out),
nn.SiLU(),
])
c_in = c_out
# Residual blocks para refinar
layers.append(ResidualBlock(c_in, out_channels))
# Projeta para out_channels
layers.append(nn.Conv2d(c_in, out_channels, kernel_size=1))
self.net = nn.Sequential(*layers)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.net(x)
class ConvDecoder(nn.Module):
"""Decoder convolucional: aumenta resolução espacial por fator 2^n_upsample."""
def __init__(
self,
in_channels: int,
out_channels: int,
hidden_channels: int = 64,
n_upsample: int = 2,
):
super().__init__()
layers = []
# Primeiro projeta de in_channels para hidden_channels * 2^(n-1)
c_start = hidden_channels * (2 ** (n_upsample - 1))
layers.append(nn.Conv2d(in_channels, c_start, kernel_size=1))
layers.append(ResidualBlock(c_start, c_start))
c_in = c_start
for i in range(n_upsample - 1, -1, -1):
c_out = hidden_channels * (2 ** max(0, i - 1)) if i > 0 else out_channels
layers.extend([
nn.ConvTranspose2d(c_in, c_out, kernel_size=4, stride=2, padding=1),
nn.GroupNorm(_adaptive_groups(c_out), c_out) if i > 0 else nn.Identity(),
nn.SiLU() if i > 0 else nn.Identity(),
])
c_in = c_out
# Camada final 1x1 para ajustar canais
layers.append(nn.Conv2d(c_in, out_channels, kernel_size=1))
self.net = nn.Sequential(*layers)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.net(x)
# ============================================================================
# Vector Quantizer (com EMA opcional)
# ============================================================================
class VectorQuantizer(nn.Module):
"""Quantizador por codebook com Straight-Through Estimator (STE).
Args:
n_codes: número de códigos no codebook (K)
dim: dimensão de cada código (d)
commitment_cost: peso da commitment loss
use_ema: se True, atualiza codebook via EMA em vez de gradiente
ema_decay: decay do EMA
"""
def __init__(
self,
n_codes: int,
dim: int,
commitment_cost: float = 0.25,
use_ema: bool = True,
ema_decay: float = 0.99,
):
super().__init__()
self.n_codes = n_codes
self.dim = dim
self.commitment_cost = commitment_cost
self.use_ema = use_ema
self.ema_decay = ema_decay
# Codebook: [K, d]
codebook = torch.randn(n_codes, dim) * 0.01
if use_ema:
self.register_buffer("codebook", codebook)
self.register_buffer("ema_count", torch.zeros(n_codes))
self.register_buffer("ema_weight", codebook.clone())
else:
self.codebook = nn.Parameter(codebook)
def forward(
self,
z: torch.Tensor,
) -> Tuple[torch.Tensor, torch.Tensor, Dict[str, torch.Tensor]]:
"""Quantiza z para o codebook mais próximo.
Args:
z: [B, d, H, W] ou [B, d, T]
Returns:
z_q: quantizado [B, d, H, W]
indices: [B, H, W] índices do codebook
loss_dict: dict com commitment loss, codebook loss, etc.
"""
# Reshape z para [N, d] onde N = B * H * W
original_shape = z.shape
if z.dim() == 4:
B, d, H, W = z.shape
z_flat = z.permute(0, 2, 3, 1).reshape(-1, d) # [B*H*W, d]
elif z.dim() == 3:
B, d, T = z.shape
z_flat = z.permute(0, 2, 1).reshape(-1, d) # [B*T, d]
else:
z_flat = z
# Distância euclidiana ao codebook
# ||z - e||^2 = ||z||^2 - 2*z·e + ||e||^2
dist = (
z_flat.pow(2).sum(dim=-1, keepdim=True)
- 2 * z_flat @ self.codebook.t()
+ self.codebook.pow(2).sum(dim=-1, keepdim=False).unsqueeze(0)
) # [N, K]
# Encontrar código mais próximo
indices = dist.argmin(dim=-1) # [N]
one_hot = F.one_hot(indices, self.n_codes).float() # [N, K]
# Quantizado
z_q = one_hot @ self.codebook # [N, d]
# Commitment loss
commit_loss = F.mse_loss(z_flat, z_q.detach())
# Codebook loss (apenas se não usar EMA)
if not self.use_ema:
codebook_loss = F.mse_loss(z_q, z_flat.detach())
else:
codebook_loss = torch.zeros(1, device=z.device)
# EMA update
if self.use_ema and self.training:
with torch.no_grad():
# Conta quantas vezes cada código foi usado
code_count = one_hot.sum(dim=0) # [K]
# Soma dos z_flat para cada código
code_sum = one_hot.t() @ z_flat # [K, d]
# EMA
self.ema_count.mul_(self.ema_decay).add_(
code_count, alpha=1 - self.ema_decay
)
self.ema_weight.mul_(self.ema_decay).add_(
code_sum, alpha=1 - self.ema_decay
)
# Atualiza codebook
self.codebook.copy_(self.ema_weight / self.ema_count.unsqueeze(-1).clamp(min=1e-8))
# Straight-Through Estimator: z_q = z + (z_q - z).detach()
z_q_st = z_flat + (z_q - z_flat).detach()
# Reshape de volta
if z.dim() == 4:
z_q_st = z_q_st.view(B, H, W, d).permute(0, 3, 1, 2).contiguous()
indices = indices.view(B, H, W)
elif z.dim() == 3:
z_q_st = z_q_st.view(B, T, d).permute(0, 2, 1).contiguous()
indices = indices.view(B, T)
else:
z_q_st = z_q_st.view(original_shape)
# Taxa de uso do codebook (para diagnóstico)
with torch.no_grad():
used = (one_hot.sum(dim=0) > 0).float().sum()
usage = used / self.n_codes
loss_dict = {
"commit_loss": commit_loss * self.commitment_cost,
"codebook_loss": codebook_loss,
"usage": usage.detach(),
}
return z_q_st, indices, loss_dict
# ============================================================================
# VQ-VAE-2 Hierárquico
# ============================================================================
class VQVAE2(nn.Module):
"""VQ-VAE-2 Hierárquico.
Estrutura:
x -> BottomEnc -> z_b -> TopEnc -> z_t -> TopQ -> z_t_q
|
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TopDec -> z_t_dec
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z_b + z_t_dec -> BottomQ -> z_b_q -> BottomDec -> x_recon
"""
def __init__(self, config: VQVAE2Config):
super().__init__()
self.config = config
# Bottom encoder/decoder
self.bottom_encoder = ConvEncoder(
in_channels=config.in_channels,
out_channels=config.bottom_channels,
hidden_channels=config.hidden_channels,
n_downsample=config.n_downsample,
)
self.bottom_decoder = ConvDecoder(
in_channels=config.bottom_channels,
out_channels=config.in_channels,
hidden_channels=config.hidden_channels,
n_upsample=config.n_downsample,
)
# Top encoder/decoder (operam sobre z_b)
self.top_encoder = ConvEncoder(
in_channels=config.bottom_channels,
out_channels=config.top_channels,
hidden_channels=config.hidden_channels,
n_downsample=1, # downsample adicional por 2
)
self.top_decoder = ConvDecoder(
in_channels=config.top_channels,
out_channels=config.bottom_channels,
hidden_channels=config.hidden_channels,
n_upsample=1,
)
# Quantizadores
self.top_quantizer = VectorQuantizer(
n_codes=config.n_top_codes,
dim=config.top_channels,
commitment_cost=config.commitment_cost,
use_ema=config.use_ema,
ema_decay=config.ema_decay,
)
self.bottom_quantizer = VectorQuantizer(
n_codes=config.n_bottom_codes,
dim=config.bottom_channels,
commitment_cost=config.commitment_cost,
use_ema=config.use_ema,
ema_decay=config.ema_decay,
)
def forward(
self,
x: torch.Tensor,
) -> Dict[str, torch.Tensor]:
"""Forward pass completo.
Args:
x: [B, C, H, W] entrada (imagem, espectrograma, etc.)
Returns:
dict com:
x_recon: [B, C, H, W] reconstrução
top_indices: [B, H_t, W_t] índices top
bottom_indices: [B, H_b, W_b] índices bottom
loss: loss total (recon + commit + codebook)
loss_dict: breakdown
"""
# 1. Bottom encoder
z_b = self.bottom_encoder(x) # [B, d_b, H_b, W_b]
# 2. Top encoder (sobre z_b)
z_t = self.top_encoder(z_b) # [B, d_t, H_t, W_t]
# 3. Top quantizer
z_t_q, top_indices, top_loss = self.top_quantizer(z_t)
# 4. Top decoder (reconstroi z_b aproximado do top)
z_t_dec = self.top_decoder(z_t_q) # [B, d_b, H_b, W_b]
# 5. Bottom quantizer sobre (z_b + z_t_dec) ou (z_b - z_t_dec)
if self.config.use_residual:
z_b_residual = z_b - z_t_dec
z_b_q, bottom_indices, bottom_loss = self.bottom_quantizer(z_b_residual)
z_b_full = z_b_q + z_t_dec # reconstrói
else:
z_b_q, bottom_indices, bottom_loss = self.bottom_quantizer(z_b)
z_b_full = z_b_q + z_t_dec # combina top + bottom
# 6. Bottom decoder
x_recon = self.bottom_decoder(z_b_full) # [B, C, H, W]
# 7. Loss
recon_loss = F.mse_loss(x_recon, x)
total_loss = (
recon_loss
+ top_loss["commit_loss"]
+ bottom_loss["commit_loss"]
+ top_loss["codebook_loss"]
+ bottom_loss["codebook_loss"]
)
return {
"x_recon": x_recon,
"top_indices": top_indices,
"bottom_indices": bottom_indices,
"loss": total_loss,
"loss_dict": {
"recon_loss": recon_loss.detach(),
"top_commit": top_loss["commit_loss"].detach(),
"bottom_commit": bottom_loss["commit_loss"].detach(),
"top_usage": top_loss["usage"],
"bottom_usage": bottom_loss["usage"],
},
}
def encode(self, x: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
"""Apenas encoder (para uso em pipeline multimodal).
Returns:
(top_indices, bottom_indices) — códigos discretos
"""
z_b = self.bottom_encoder(x)
z_t = self.top_encoder(z_b)
_, top_idx, _ = self.top_quantizer(z_t)
z_t_dec = self.top_decoder(self.top_quantizer.codebook[top_idx].permute(
0, 3, 1, 2
) if top_idx.dim() == 3 else self.top_quantizer.codebook[top_idx])
# Simplificado: apenas retorna top_idx e bottom_idx brutos
if self.config.use_residual:
z_b_resid = z_b - z_t_dec
_, bottom_idx, _ = self.bottom_quantizer(z_b_resid)
else:
_, bottom_idx, _ = self.bottom_quantizer(z_b)
return top_idx, bottom_idx
def decode_codes(
self,
top_indices: torch.Tensor,
bottom_indices: torch.Tensor,
) -> torch.Tensor:
"""Decodifica a partir de códigos discretos."""
# Top
z_t_q = self.top_quantizer.codebook[top_indices] # [B, H_t, W_t, d_t]
# Adicionar dim de canal se necessário
if z_t_q.dim() == 4:
z_t_q = z_t_q.permute(0, 3, 1, 2).contiguous()
z_t_dec = self.top_decoder(z_t_q)
# Bottom
z_b_q = self.bottom_quantizer.codebook[bottom_indices]
if z_b_q.dim() == 4:
z_b_q = z_b_q.permute(0, 3, 1, 2).contiguous()
z_b_full = z_b_q + z_t_dec
# Decoder
x_recon = self.bottom_decoder(z_b_full)
return x_recon
# ============================================================================
# Self-test
# ============================================================================
def _self_test():
"""Teste rápido do VQ-VAE-2."""
torch.manual_seed(42)
config = VQVAE2Config(
in_channels=1,
bottom_channels=16,
top_channels=8,
n_bottom_codes=64,
n_top_codes=64,
n_downsample=2,
hidden_channels=16,
use_ema=True,
commitment_cost=0.25,
)
vqvae = VQVAE2(config)
print(f"VQ-VAE-2 params: {sum(p.numel() for p in vqvae.parameters())}")
# Forward
x = torch.randn(2, 1, 16, 16)
out = vqvae(x)
print(f"Recon: {out['x_recon'].shape}")
print(f"Top indices: {out['top_indices'].shape}")
print(f"Bottom indices: {out['bottom_indices'].shape}")
print(f"Loss: {out['loss'].item():.4f}")
print(f"Loss dict: {out['loss_dict']}")
# Test encode/decode
top_idx, bot_idx = vqvae.encode(x)
print(f"Encode: top {top_idx.shape}, bot {bot_idx.shape}")
if __name__ == "__main__":
_self_test()
__all__ = [
"VQVAE2Config",
"ResidualBlock",
"ConvEncoder",
"ConvDecoder",
"VectorQuantizer",
"VQVAE2",
]
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