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"""
LiqMamba: Liquid-Mamba Image Generator
Complete architecture that combines:
1. SDXL VAE for encoding/decoding (pretrained, frozen)
2. CfC-gated Mamba-2 SSD backbone with multi-directional 2D scans
3. Flow matching objective for stable training
4. Lipshitz regularization (physics-informed) to prevent collapse
Configurations:
- LiqMamba-Tiny: ~8M params (extreme lightweight)
- LiqMamba-Small: ~25M params (Colab/Kaggle free tier target)
- LiqMamba-Base: ~85M params (higher quality)
"""
import torch
import torch.nn as nn
import torch.nn.functional as F
from typing import Optional
import math
from .mamba2_ssd import MultiDirectionalScan, Mamba2SSDBlock
from .cfc import CfCLayer
class PatchEmbed(nn.Module):
"""Convert image latents to patch tokens."""
def __init__(self, in_channels=4, dim=256, patch_size=1):
super().__init__()
self.proj = nn.Conv2d(in_channels, dim, patch_size, patch_size)
def forward(self, x):
# x: (B, C, H, W) -> (B, dim, H, W) -> (B, H*W, dim)
x = self.proj(x)
B, C, H, W = x.shape
x = x.flatten(2).transpose(1, 2)
return x, H, W
class Unpatchify(nn.Module):
"""Convert patch tokens back to image latents."""
def __init__(self, dim=256, out_channels=4, patch_size=1):
super().__init__()
self.proj = nn.Conv2d(dim, out_channels, patch_size, patch_size)
def forward(self, x, H, W):
B, L, D = x.shape
x = x.transpose(1, 2).view(B, D, H, W)
return self.proj(x)
class AdaLNModulation(nn.Module):
"""
Adaptive Layer Norm modulation (from DiT).
Injects timestep and optional class conditioning.
"""
def __init__(self, dim, cond_dim=256):
super().__init__()
self.norm = nn.LayerNorm(dim, elementwise_affine=False)
self.scale_shift = nn.Sequential(
nn.SiLU(),
nn.Linear(cond_dim, dim * 6) # scale, shift, gate x 2
)
def forward(self, x, c):
# x: (B, L, D), c: (B, cond_dim)
params = self.scale_shift(c) # (B, D*6)
scale1, shift1, gate1, scale2, shift2, gate2 = params.chunk(6, dim=-1)
# Modulate
x = self.norm(x) * (1 + scale1.unsqueeze(1)) + shift1.unsqueeze(1)
x = x * gate1.unsqueeze(1)
return x
class TimestepEmbedding(nn.Module):
"""Sinusoidal timestep embedding."""
def __init__(self, dim, max_period=10000):
super().__init__()
self.dim = dim
self.max_period = max_period
self.mlp = nn.Sequential(
nn.Linear(dim, dim * 4),
nn.SiLU(),
nn.Linear(dim * 4, dim),
)
def forward(self, t):
# t: (B,) float timesteps in [0,1]
half = self.dim // 2
freqs = torch.exp(-math.log(self.max_period) *
torch.arange(0, half, device=t.device).float() / half)
args = t.unsqueeze(-1) * freqs.unsqueeze(0)
embedding = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
if self.dim % 2:
embedding = F.pad(embedding, (0, 1))
return self.mlp(embedding)
class LiqMambaBlock(nn.Module):
"""
Core LiqMamba block combining:
- AdaLN-Zero modulation
- Multi-directional Mamba-2 SSD scan
- CfC liquid state modulation
- Feed-forward with CfC gating
"""
def __init__(self, dim, cond_dim=256, d_state=16, expand=2,
scan_pattern="row_fwd", use_ffn=True):
super().__init__()
self.dim = dim
self.scan_pattern = scan_pattern
# AdaLN
self.adaLN = AdaLNModulation(dim, cond_dim)
# Multi-directional scan
self.scan = MultiDirectionalScan(dim, pattern=scan_pattern,
d_state=d_state, expand=expand)
# CfC liquid layer (replaces FFN for adaptive computation)
if use_ffn:
self.cfc_ffn = CfCLayer(dim, expansion_factor=2)
else:
self.cfc_ffn = nn.Identity()
# AdaLN for FFN
self.adaLN_ffn = AdaLNModulation(dim, cond_dim) if use_ffn else None
def forward(self, x, c, H, W):
# x: (B, H*W, dim), c: (B, cond_dim)
# Scan with conditioning
x_mod = self.adaLN(x, c)
x = x + self.scan(x_mod, H, W)
# CfC FFN with conditioning
if self.adaLN_ffn is not None:
x_mod2 = self.adaLN_ffn(x, c)
x = x + self.cfc_ffn(x_mod2)
return x
class LiqMamba(nn.Module):
"""
LiqMamba Image Generator β€” Liquid Neural Network + Mamba-2 SSD
Architecture:
1. Patch embed: latent (4, H, W) β†’ tokens (H*W, dim)
2. Timestep + condition embedding
3. N stacked LiqMambaBlocks with alternating scan directions
4. Unpatchify: tokens β†’ latent (4, H, W)
Config presets:
- Tiny: dim=128, depth=4 β†’ ~8M params
- Small: dim=256, depth=8 β†’ ~25M params
- Base: dim=512, depth=12 β†’ ~85M params
"""
def __init__(
self,
in_channels: int = 4, # VAE latent channels
out_channels: int = 4,
dim: int = 256, # Hidden dimension
depth: int = 8, # Number of blocks
cond_dim: int = 256, # Conditioning dimension
d_state: int = 16, # SSM state dimension
expand: int = 2, # SSD expansion factor
patch_size: int = 1,
scan_patterns: list[str] | None = None,
):
super().__init__()
self.dim = dim
self.depth = depth
# Scan pattern rotation (matching DiM's 4-pattern cycle)
if scan_patterns is None:
scan_patterns = ["row_fwd", "row_rev", "col_fwd", "col_rev"]
self.scan_patterns = scan_patterns
# Patch embedding
self.patch_embed = PatchEmbed(in_channels, dim, patch_size)
self.unpatchify = Unpatchify(dim, out_channels, patch_size)
# Timestep embedding
self.time_embed = TimestepEmbedding(cond_dim)
# Optional class embedding
self.class_embed = nn.Embedding(1000, cond_dim)
# Initial CfC layer for liquid state initialization
self.cfc_init = CfCLayer(dim, expansion_factor=2)
# LiqMamba blocks
self.blocks = nn.ModuleList()
for i in range(depth):
pattern = scan_patterns[i % len(scan_patterns)]
use_ffn = (i % 2 == 0) # FFN every other block for efficiency
self.blocks.append(
LiqMambaBlock(
dim=dim,
cond_dim=cond_dim,
d_state=d_state,
expand=expand,
scan_pattern=pattern,
use_ffn=use_ffn,
)
)
# Final CfC refinement layer
self.cfc_final = CfCLayer(dim, expansion_factor=2)
# Final projection
self.final_norm = nn.LayerNorm(dim)
# Initialize weights
self._init_weights()
def _init_weights(self):
"""Initialize with small values for stable training."""
for module in self.modules():
if isinstance(module, nn.Linear):
nn.init.normal_(module.weight, std=0.02)
if module.bias is not None:
nn.init.zeros_(module.bias)
def forward(self, x, t, class_labels=None, return_dict=False):
"""
Args:
x: (B, C, H, W) latent images
t: (B,) float timesteps in [0, 1]
class_labels: (B,) optional class indices
Returns:
velocity field v(x, t) used for flow matching
"""
B, C, H, W = x.shape
# Patch embed
x, H_p, W_p = self.patch_embed(x) # (B, H*W, dim)
# Timestep conditioning
c = self.time_embed(t) # (B, cond_dim)
if class_labels is not None:
c = c + self.class_embed(class_labels)
# Initial liquid state
x = self.cfc_init(x)
# LiqMamba blocks
for block in self.blocks:
x = block(x, c, H_p, W_p)
# Final refinement
x = self.final_norm(x)
x = self.cfc_final(x)
# Unpatchify
x = self.unpatchify(x, H_p, W_p)
if return_dict:
return {"velocity": x}
return x
def get_num_params(self):
return sum(p.numel() for p in self.parameters() if p.requires_grad)
def liqmamba_tiny(**kwargs):
"""Tiny variant: ~8M params, extreme lightweight."""
return LiqMamba(dim=128, depth=4, d_state=8, expand=2, **kwargs)
def liqmamba_small(**kwargs):
"""Small variant: ~25M params, Colab/Kaggle free tier target."""
return LiqMamba(dim=256, depth=8, d_state=16, expand=2, **kwargs)
def liqmamba_base(**kwargs):
"""Base variant: ~85M params, higher quality."""
return LiqMamba(dim=512, depth=12, d_state=16, expand=2, **kwargs)