Upload liquid_flow/liquid_flow_block.py
Browse files- liquid_flow/liquid_flow_block.py +104 -194
liquid_flow/liquid_flow_block.py
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"""
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LiquidFlow Block — Hybrid CfC + Mamba-2 SSD architecture.
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The core innovation: combine Liquid Neural Network dynamics (CfC)
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with Mamba-2's efficient linear-time state space model.
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Architecture per block:
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Input →
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↑ ↑
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Adaptive gating Gated output
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The CfC provides:
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- Time-continuous adaptive gating (what to process/ignore)
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- State initialization for the SSM (the "liquid" memory)
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The
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- Content-aware selection mechanism
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- Parallelizable computation (no sequential bottleneck)
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Together they create a "Liquid State Space Model" (LSSM):
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h_t = σ(-f(x_t;θ_f)·t) ⊙ SSM(x_t, h_{t-1}) + (1-σ(...)) ⊙ h(x_t;θ_h)
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Where SSM is the Mamba-2 selective state space model and the
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CfC time-gates control how much the SSM output influences state.
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This is inspired by:
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- LNNs: adaptive time constants for state evolution
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- Mamba-2: efficient selective state space models
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- DiMSUM: multi-scan architecture for 2D images
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- Gated SSM: gating mechanism from CfC applied to SSM
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"""
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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from .cfc_cell import CfCCell
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from .mamba2_ssd import Mamba2SSD
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class LiquidMambaBlock(nn.Module):
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"""
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LiquidMamba: CfC-gated Mamba-2 SSD block.
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2. CfC cell receives the SSM output + original input
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3. CfC produces a time-gated output: σ(f)·SSM_out + (1-σ(f))·input
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4. The CfC's liquid dynamics adaptively mix SSM features with raw input
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"""
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def __init__(self, dim, d_state=16, d_conv=4, expand=2, dropout=0.0):
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self.dim = dim
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# LayerNorms
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self.
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self.
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self.
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# Mamba-2 SSD
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self.
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# CfC gate:
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self.cfc_gate = CfCCell(dim=dim,
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# Feed-forward
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ff_dim = dim * expand
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nn.Linear(ff_dim, dim),
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nn.Dropout(dropout),
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)
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# Learnable mixing ratio init
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self.gate_scale = nn.Parameter(torch.ones(1) * 0.5)
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def forward(self, x):
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"""
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Args:
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x: [B, C, H, W]
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Returns:
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Same shape as input
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"""
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is_2d = x.dim() == 4
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if is_2d:
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B, C, H, W = x.shape
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x_flat = x.flatten(2).transpose(1, 2) # [B, HW, C]
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else:
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B, L, C = x.shape
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x_flat = x
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# Mamba-2
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mamba_out = self._mamba_2d_scan(x_2d)
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mamba_out = mamba_out.flatten(2).transpose(1, 2) # [B, HW, C]
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else:
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mamba_out = self.mamba(x_norm)
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# CfC
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#
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cfc_input = mamba_norm + residual
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cfc_out = self.cfc_gate(cfc_input)
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# Gated
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mixed = gate * mamba_out + (1 - gate) * residual + cfc_out
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# Feed-forward
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out = mixed + self.ff(out_norm)
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if is_2d:
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return out
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def _mamba_2d_scan(self, x):
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"""
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Multi-directional Mamba-2 scan for 2D images.
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Scans in forward and backward raster directions, then merges.
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This preserves 2D spatial structure better than single-direction scan.
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"""
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B, C, H, W = x.shape
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device = x.device
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# Forward raster: left→right, top→bottom
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fwd = x.flatten(2) # [B, C, HW]
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fwd_seq = fwd.transpose(1, 2) # [B, HW, C]
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fwd_out = self.mamba(fwd_seq)
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# Backward raster: right→left, bottom→top
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bwd = torch.flip(x.flatten(2), dims=[-1]) # [B, C, HW]
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bwd_seq = bwd.transpose(1, 2)
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bwd_out = self.mamba(bwd_seq)
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bwd_out = torch.flip(bwd_out, dims=[1]) # Flip back
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# Merge both directions
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merged = (fwd_out + bwd_out) / 2
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merged = merged.transpose(1, 2).reshape(B, C, H, W)
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return merged
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class LiquidFlowStage(nn.Module):
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"""
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A stage in LiquidFlow: multiple LiquidMamba blocks at the same resolution.
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Architecture:
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[LiquidMamba Block] × num_blocks
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[Optional Downsample/Upsample]
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This mirrors the hierarchical design from DiT/DiMSUM but with
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liquid neural network dynamics in every block.
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"""
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def __init__(self, dim, num_blocks=4, d_state=16, expand=2, dropout=0.0):
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super().__init__()
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self.dim = dim
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self.blocks = nn.ModuleList([
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LiquidMambaBlock(dim=dim, d_state=d_state, expand=expand, dropout=dropout)
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for _ in range(num_blocks)
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class LiquidFlowBackbone(nn.Module):
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"""
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Complete LiquidFlow backbone
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Architecture:
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Input (noisy latent) [B, C, H, W]
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↓
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[Patch Embed + Positional Encoding]
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↓
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[LiquidMamba Stages × N] (at uniform resolution)
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↓
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[Output Head] → predicted noise
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"""
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def __init__(
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super().__init__()
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self.in_channels = in_channels
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self.hidden_dim = hidden_dim
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self.num_stages = num_stages
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# Input
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self.patch_size = 2 # Fixed patch size
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self.in_proj = nn.Conv2d(in_channels, hidden_dim, kernel_size=1)
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#
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self.time_embed = nn.Sequential(
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nn.Linear(hidden_dim, hidden_dim * 4),
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nn.SiLU(),
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nn.Linear(hidden_dim * 4, hidden_dim),
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)
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#
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self.pos_embed = nn.Parameter(torch.randn(1, 4096, hidden_dim) * 0.02)
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# LiquidFlow stages
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self.stages = nn.ModuleList([
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LiquidFlowStage(
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dim=hidden_dim,
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num_blocks=blocks_per_stage,
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d_state=d_state,
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expand=expand,
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for _ in range(num_stages)
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])
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# Output
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self.out_norm = nn.LayerNorm(hidden_dim)
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self.out_proj = nn.
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nn.Linear(hidden_dim, hidden_dim),
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nn.GELU(),
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nn.Linear(hidden_dim, in_channels * self.patch_size * self.patch_size),
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)
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self.t_conditioner = nn.Sequential(
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nn.SiLU(),
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nn.Linear(hidden_dim, hidden_dim * 2), # scale, shift
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)
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def
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half = dim // 2
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freqs = torch.exp(
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-math.log(
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)
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args = timesteps.float().unsqueeze(-1) * freqs.unsqueeze(0)
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if dim % 2:
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return
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def forward(self, x, t):
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"""
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Args:
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x:
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t:
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Returns:
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"""
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B, C, H, W = x.shape
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L = (H // self.patch_size) * (W // self.patch_size)
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#
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x = self.in_proj(x) # [B, hidden_dim, H, W]
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#
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# Time embedding
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t_emb = self._get_timestep_embedding(t, self.hidden_dim)
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t_emb = self.time_embed(t_emb) # [B, hidden_dim]
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#
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x_flat = x_flat * (1 + t_scale.unsqueeze(1)) + t_shift.unsqueeze(1)
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# Add positional encoding
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x_flat = x_flat + self.pos_embed[:, :L, :]
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# Reshape
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# Process through all stages
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for stage in self.stages:
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# Output head
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# Reshape to image
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x_out = x_out.permute(0, 3, 1, 4, 2, 5).reshape(B, C, H * self.patch_size, W * self.patch_size)
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return
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import math
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"""
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LiquidFlow Block — Hybrid CfC + Mamba-2 SSD architecture.
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CORRECTED VERSION: proper dimensions, no sequential loops.
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Architecture per block:
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Input → Mamba-2 SSD (bidirectional) → CfC adaptive gate → Output
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The CfC provides adaptive gating that modulates the SSM output
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based on input-dependent "liquid" time constants.
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"""
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import torch
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import torch.nn as nn
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import torch.nn.functional as F
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import math
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from .cfc_cell import CfCCell, CfCBlock
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from .mamba2_ssd import Mamba2SSD, Mamba2Block
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class LiquidMambaBlock(nn.Module):
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"""
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LiquidMamba: CfC-gated Mamba-2 SSD block.
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Flow:
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1. Input → LayerNorm → Mamba-2 SSD (bidirectional scan)
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2. SSM output → CfC adaptive gate (parallel over all positions)
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3. Gated output → residual + feed-forward
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The CfC gate learns WHEN to trust the SSM output vs the raw input,
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creating content-aware adaptive processing.
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"""
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def __init__(self, dim, d_state=16, d_conv=4, expand=2, dropout=0.0):
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self.dim = dim
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# LayerNorms
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self.norm_ssm = nn.LayerNorm(dim)
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self.norm_gate = nn.LayerNorm(dim)
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self.norm_ff = nn.LayerNorm(dim)
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# Mamba-2 SSD: bidirectional scan
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self.ssd_fwd = Mamba2SSD(dim=dim, d_state=d_state, d_conv=d_conv, expand=expand)
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self.ssd_bwd = Mamba2SSD(dim=dim, d_state=d_state, d_conv=d_conv, expand=expand)
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self.merge = nn.Linear(dim * 2, dim, bias=False)
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# CfC gate: parallel adaptive gating
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self.cfc_gate = CfCCell(dim=dim, dropout=dropout)
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# Gate projection (learnable mixing)
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self.gate_proj = nn.Linear(dim, dim)
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# Feed-forward
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ff_dim = dim * expand
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nn.Linear(ff_dim, dim),
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nn.Dropout(dropout),
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)
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def forward(self, x):
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"""
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Args:
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x: [B, C, H, W] or [B, L, C]
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Returns:
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Same shape as input
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"""
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is_2d = x.dim() == 4
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if is_2d:
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B, C, H, W = x.shape
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x = x.flatten(2).transpose(1, 2) # [B, HW, C]
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# === SSM branch ===
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residual = x
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x_norm = self.norm_ssm(x)
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# Bidirectional Mamba-2 scan
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fwd_out = self.ssd_fwd(x_norm)
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bwd_out = torch.flip(self.ssd_bwd(torch.flip(x_norm, [1])), [1])
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ssm_out = self.merge(torch.cat([fwd_out, bwd_out], dim=-1))
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# === CfC gate ===
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# CfC processes the SSM output and produces adaptive gate
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gate_input = self.norm_gate(ssm_out)
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cfc_out = self.cfc_gate(gate_input) # [B, L, D] — parallel!
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# Sigmoid gate: how much SSM output to use
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gate = torch.sigmoid(self.gate_proj(cfc_out))
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# Gated residual: blend SSM output with residual
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x = residual + gate * ssm_out
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# === Feed-forward ===
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x = x + self.ff(self.norm_ff(x))
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if is_2d:
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x = x.transpose(1, 2).reshape(B, C, H, W)
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return x
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class LiquidFlowStage(nn.Module):
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+
"""Stack of LiquidMamba blocks at the same resolution."""
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def __init__(self, dim, num_blocks=4, d_state=16, expand=2, dropout=0.0):
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super().__init__()
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self.blocks = nn.ModuleList([
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LiquidMambaBlock(dim=dim, d_state=d_state, expand=expand, dropout=dropout)
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for _ in range(num_blocks)
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class LiquidFlowBackbone(nn.Module):
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"""
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+
Complete LiquidFlow backbone — DiT-style noise predictor.
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| 123 |
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+
FIXED: Output shape == Input shape (no patch_size confusion).
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+
Architecture:
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+
Input [B, in_ch, H, W]
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+
→ Conv2d projection to hidden_dim
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+
→ + sinusoidal timestep embedding (AdaLN-style)
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+
→ + learnable positional encoding
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+
→ N × LiquidMamba Stages
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+
→ Conv2d projection back to in_ch
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+
→ Output [B, in_ch, H, W]
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"""
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def __init__(
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| 146 |
super().__init__()
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self.in_channels = in_channels
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self.hidden_dim = hidden_dim
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| 149 |
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+
# Input projection (pointwise conv)
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| 151 |
self.in_proj = nn.Conv2d(in_channels, hidden_dim, kernel_size=1)
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+
# Timestep embedding
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| 154 |
self.time_embed = nn.Sequential(
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nn.Linear(hidden_dim, hidden_dim * 4),
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nn.SiLU(),
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nn.Linear(hidden_dim * 4, hidden_dim),
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)
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| 159 |
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| 160 |
+
# AdaLN-style conditioning: scale and shift
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+
self.t_cond = nn.Sequential(
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+
nn.SiLU(),
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+
nn.Linear(hidden_dim, hidden_dim * 2),
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+
)
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+
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+
# Positional encoding (learnable, supports up to 64×64 = 4096 positions)
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self.pos_embed = nn.Parameter(torch.randn(1, 4096, hidden_dim) * 0.02)
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| 169 |
# LiquidFlow stages
|
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self.stages = nn.ModuleList([
|
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LiquidFlowStage(
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| 172 |
+
dim=hidden_dim,
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| 173 |
num_blocks=blocks_per_stage,
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d_state=d_state,
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| 175 |
expand=expand,
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| 178 |
for _ in range(num_stages)
|
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])
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| 180 |
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| 181 |
+
# Output projection
|
| 182 |
self.out_norm = nn.LayerNorm(hidden_dim)
|
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+
self.out_proj = nn.Linear(hidden_dim, in_channels)
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| 184 |
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| 185 |
+
self._init_weights()
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|
| 186 |
|
| 187 |
+
def _init_weights(self):
|
| 188 |
+
# Zero-init output projection for residual learning
|
| 189 |
+
nn.init.zeros_(self.out_proj.weight)
|
| 190 |
+
nn.init.zeros_(self.out_proj.bias)
|
| 191 |
+
|
| 192 |
+
def _sinusoidal_embedding(self, timesteps, dim):
|
| 193 |
+
"""Sinusoidal positional embedding for diffusion timesteps."""
|
| 194 |
half = dim // 2
|
| 195 |
freqs = torch.exp(
|
| 196 |
+
-math.log(10000.0) * torch.arange(half, device=timesteps.device).float() / half
|
| 197 |
+
)
|
| 198 |
args = timesteps.float().unsqueeze(-1) * freqs.unsqueeze(0)
|
| 199 |
+
emb = torch.cat([torch.cos(args), torch.sin(args)], dim=-1)
|
| 200 |
if dim % 2:
|
| 201 |
+
emb = F.pad(emb, (0, 1))
|
| 202 |
+
return emb
|
| 203 |
|
| 204 |
def forward(self, x, t):
|
| 205 |
"""
|
| 206 |
Args:
|
| 207 |
+
x: [B, in_channels, H, W] — noisy latent
|
| 208 |
+
t: [B] — diffusion timesteps (integers 0..T-1)
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|
| 209 |
Returns:
|
| 210 |
+
[B, in_channels, H, W] — predicted noise (same shape as input!)
|
| 211 |
"""
|
| 212 |
B, C, H, W = x.shape
|
| 213 |
+
L = H * W
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|
| 214 |
|
| 215 |
+
# Project to hidden dim
|
| 216 |
x = self.in_proj(x) # [B, hidden_dim, H, W]
|
| 217 |
+
x = x.flatten(2).transpose(1, 2) # [B, HW, hidden_dim]
|
| 218 |
|
| 219 |
+
# Timestep conditioning (AdaLN)
|
| 220 |
+
t_emb = self._sinusoidal_embedding(t, self.hidden_dim) # [B, hidden_dim]
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|
| 221 |
t_emb = self.time_embed(t_emb) # [B, hidden_dim]
|
| 222 |
+
t_cond = self.t_cond(t_emb) # [B, hidden_dim*2]
|
| 223 |
+
scale, shift = t_cond.chunk(2, dim=-1) # each [B, hidden_dim]
|
| 224 |
|
| 225 |
+
# Apply conditioning + positional encoding
|
| 226 |
+
x = x * (1 + scale.unsqueeze(1)) + shift.unsqueeze(1)
|
| 227 |
+
x = x + self.pos_embed[:, :L, :]
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|
| 228 |
|
| 229 |
+
# Reshape to 2D for processing
|
| 230 |
+
x = x.transpose(1, 2).reshape(B, self.hidden_dim, H, W)
|
| 231 |
|
| 232 |
# Process through all stages
|
| 233 |
for stage in self.stages:
|
| 234 |
+
x = stage(x)
|
| 235 |
|
| 236 |
# Output head
|
| 237 |
+
x = x.flatten(2).transpose(1, 2) # [B, HW, hidden_dim]
|
| 238 |
+
x = self.out_norm(x)
|
| 239 |
+
x = self.out_proj(x) # [B, HW, in_channels]
|
| 240 |
|
| 241 |
+
# Reshape back to image: [B, in_channels, H, W]
|
| 242 |
+
x = x.transpose(1, 2).reshape(B, self.in_channels, H, W)
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|
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|
| 243 |
|
| 244 |
+
return x
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