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LiquidFlow Block β Hybrid CfC + Mamba-2 SSD architecture.
CORRECTED VERSION: proper dimensions, no sequential loops.
Architecture per block:
Input β Mamba-2 SSD (bidirectional) β CfC adaptive gate β Output
The CfC provides adaptive gating that modulates the SSM output
based on input-dependent "liquid" time constants.
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
import math
from .cfc_cell import CfCCell, CfCBlock
from .mamba2_ssd import Mamba2SSD, Mamba2Block
class LiquidMambaBlock(nn.Module):
"""
LiquidMamba: CfC-gated Mamba-2 SSD block.
Flow:
1. Input β LayerNorm β Mamba-2 SSD (bidirectional scan)
2. SSM output β CfC adaptive gate (parallel over all positions)
3. Gated output β residual + feed-forward
The CfC gate learns WHEN to trust the SSM output vs the raw input,
creating content-aware adaptive processing.
"""
def __init__(self, dim, d_state=16, d_conv=4, expand=2, dropout=0.0):
super().__init__()
self.dim = dim
# LayerNorms
self.norm_ssm = nn.LayerNorm(dim)
self.norm_gate = nn.LayerNorm(dim)
self.norm_ff = nn.LayerNorm(dim)
# Mamba-2 SSD: bidirectional scan
self.ssd_fwd = Mamba2SSD(dim=dim, d_state=d_state, d_conv=d_conv, expand=expand)
self.ssd_bwd = Mamba2SSD(dim=dim, d_state=d_state, d_conv=d_conv, expand=expand)
self.merge = nn.Linear(dim * 2, dim, bias=False)
# CfC gate: parallel adaptive gating
self.cfc_gate = CfCCell(dim=dim, dropout=dropout)
# Gate projection (learnable mixing)
self.gate_proj = nn.Linear(dim, dim)
# Feed-forward
ff_dim = dim * expand
self.ff = nn.Sequential(
nn.Linear(dim, ff_dim),
nn.GELU(),
nn.Dropout(dropout),
nn.Linear(ff_dim, dim),
nn.Dropout(dropout),
)
def forward(self, x):
"""
Args:
x: [B, C, H, W] or [B, L, C]
Returns:
Same shape as input
"""
is_2d = x.dim() == 4
if is_2d:
B, C, H, W = x.shape
x = x.flatten(2).transpose(1, 2) # [B, HW, C]
# === SSM branch ===
residual = x
x_norm = self.norm_ssm(x)
# Bidirectional Mamba-2 scan
fwd_out = self.ssd_fwd(x_norm)
bwd_out = torch.flip(self.ssd_bwd(torch.flip(x_norm, [1])), [1])
ssm_out = self.merge(torch.cat([fwd_out, bwd_out], dim=-1))
# === CfC gate ===
# CfC processes the SSM output and produces adaptive gate
gate_input = self.norm_gate(ssm_out)
cfc_out = self.cfc_gate(gate_input) # [B, L, D] β parallel!
# Sigmoid gate: how much SSM output to use
gate = torch.sigmoid(self.gate_proj(cfc_out))
# Gated residual: blend SSM output with residual
x = residual + gate * ssm_out
# === Feed-forward ===
x = x + self.ff(self.norm_ff(x))
if is_2d:
x = x.transpose(1, 2).reshape(B, C, H, W)
return x
class LiquidFlowStage(nn.Module):
"""Stack of LiquidMamba blocks at the same resolution."""
def __init__(self, dim, num_blocks=4, d_state=16, expand=2, dropout=0.0):
super().__init__()
self.blocks = nn.ModuleList([
LiquidMambaBlock(dim=dim, d_state=d_state, expand=expand, dropout=dropout)
for _ in range(num_blocks)
])
def forward(self, x):
for block in self.blocks:
x = block(x)
return x
class LiquidFlowBackbone(nn.Module):
"""
Complete LiquidFlow backbone β DiT-style noise predictor.
FIXED: Output shape == Input shape (no patch_size confusion).
Architecture:
Input [B, in_ch, H, W]
β Conv2d projection to hidden_dim
β + sinusoidal timestep embedding (AdaLN-style)
β + learnable positional encoding
β N Γ LiquidMamba Stages
β Conv2d projection back to in_ch
β Output [B, in_ch, H, W]
"""
def __init__(
self,
in_channels=4,
hidden_dim=256,
num_stages=4,
blocks_per_stage=4,
d_state=16,
expand=2,
dropout=0.0,
):
super().__init__()
self.in_channels = in_channels
self.hidden_dim = hidden_dim
# Input projection (pointwise conv)
self.in_proj = nn.Conv2d(in_channels, hidden_dim, kernel_size=1)
# Timestep embedding
self.time_embed = nn.Sequential(
nn.Linear(hidden_dim, hidden_dim * 4),
nn.SiLU(),
nn.Linear(hidden_dim * 4, hidden_dim),
)
# AdaLN-style conditioning: scale and shift
self.t_cond = nn.Sequential(
nn.SiLU(),
nn.Linear(hidden_dim, hidden_dim * 2),
)
# Positional encoding (learnable, supports up to 64Γ64 = 4096 positions)
self.pos_embed = nn.Parameter(torch.randn(1, 4096, hidden_dim) * 0.02)
# LiquidFlow stages
self.stages = nn.ModuleList([
LiquidFlowStage(
dim=hidden_dim,
num_blocks=blocks_per_stage,
d_state=d_state,
expand=expand,
dropout=dropout,
)
for _ in range(num_stages)
])
# Output projection
self.out_norm = nn.LayerNorm(hidden_dim)
self.out_proj = nn.Linear(hidden_dim, in_channels)
self._init_weights()
def _init_weights(self):
# Zero-init output projection for residual learning
nn.init.zeros_(self.out_proj.weight)
nn.init.zeros_(self.out_proj.bias)
def _sinusoidal_embedding(self, timesteps, dim):
"""Sinusoidal positional embedding for diffusion timesteps."""
half = dim // 2
freqs = torch.exp(
-math.log(10000.0) * torch.arange(half, device=timesteps.device).float() / half
)
args = timesteps.float().unsqueeze(-1) * freqs.unsqueeze(0)
emb = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
if dim % 2:
emb = F.pad(emb, (0, 1))
return emb
def forward(self, x, t):
"""
Args:
x: [B, in_channels, H, W] β noisy latent
t: [B] β diffusion timesteps (integers 0..T-1)
Returns:
[B, in_channels, H, W] β predicted noise (same shape as input!)
"""
B, C, H, W = x.shape
L = H * W
# Project to hidden dim
x = self.in_proj(x) # [B, hidden_dim, H, W]
x = x.flatten(2).transpose(1, 2) # [B, HW, hidden_dim]
# Timestep conditioning (AdaLN)
t_emb = self._sinusoidal_embedding(t, self.hidden_dim) # [B, hidden_dim]
t_emb = self.time_embed(t_emb) # [B, hidden_dim]
t_cond = self.t_cond(t_emb) # [B, hidden_dim*2]
scale, shift = t_cond.chunk(2, dim=-1) # each [B, hidden_dim]
# Apply conditioning + positional encoding
x = x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1)
x = x + self.pos_embed[:, :L, :]
# Reshape to 2D for processing
x = x.transpose(1, 2).reshape(B, self.hidden_dim, H, W)
# Process through all stages
for stage in self.stages:
x = stage(x)
# Output head
x = x.flatten(2).transpose(1, 2) # [B, HW, hidden_dim]
x = self.out_norm(x)
x = self.out_proj(x) # [B, HW, in_channels]
# Reshape back to image: [B, in_channels, H, W]
x = x.transpose(1, 2).reshape(B, self.in_channels, H, W)
return x
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