Add lira/core_modules.py
Browse files- lira/core_modules.py +753 -0
lira/core_modules.py
ADDED
|
@@ -0,0 +1,753 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
LiRA Core Modules: Gated State-Space Backbone (GS3B)
|
| 3 |
+
|
| 4 |
+
Mathematical Foundation:
|
| 5 |
+
========================
|
| 6 |
+
Traditional transformers use self-attention: O_i = softmax(Q_i K^T / sqrt(d)) V
|
| 7 |
+
This is O(N^2) in sequence length - prohibitive for high-res images.
|
| 8 |
+
|
| 9 |
+
Our approach combines three key innovations:
|
| 10 |
+
|
| 11 |
+
1. SELECTIVE STATE SPACE (from Mamba/S6):
|
| 12 |
+
State evolution: h_t = A_t * h_{t-1} + B_t * x_t
|
| 13 |
+
Output: y_t = C_t * h_t + D * x_t
|
| 14 |
+
Where A_t, B_t, C_t are INPUT-DEPENDENT (selective) - this is the key insight
|
| 15 |
+
from Mamba that makes SSMs competitive with attention.
|
| 16 |
+
|
| 17 |
+
2. BIDIRECTIONAL GATED SCANNING (from DiM + RWKV-7):
|
| 18 |
+
Images are 2D, not 1D. We scan in 4 directions:
|
| 19 |
+
- Horizontal L→R, R→L
|
| 20 |
+
- Vertical T→B, B→T
|
| 21 |
+
Each direction maintains its own state. A learned gate fuses them:
|
| 22 |
+
y = gate * [y_lr; y_rl; y_tb; y_bt]
|
| 23 |
+
|
| 24 |
+
From RWKV-7 we take the generalized delta rule for state updates:
|
| 25 |
+
S_t = S_{t-1} * (diag(w_t) - k_t^T (a_t ⊗ k_t)) + v_t^T k_t
|
| 26 |
+
This gives us input-dependent decay with O(N) complexity.
|
| 27 |
+
|
| 28 |
+
3. FREQUENCY-AWARE PROCESSING (from DiMSUM):
|
| 29 |
+
We apply lightweight wavelet decomposition to separate structure from detail,
|
| 30 |
+
process each frequency band with appropriate granularity, then recombine.
|
| 31 |
+
Low-freq (structure) → fewer tokens, heavier processing
|
| 32 |
+
High-freq (detail) → more tokens, lighter processing
|
| 33 |
+
|
| 34 |
+
Combined complexity: O(N * d * H) where N=tokens, d=state_dim, H=num_heads
|
| 35 |
+
For 1024px with f32 VAE: N = 32*32 = 1024 tokens → extremely efficient
|
| 36 |
+
"""
|
| 37 |
+
|
| 38 |
+
import torch
|
| 39 |
+
import torch.nn as nn
|
| 40 |
+
import torch.nn.functional as F
|
| 41 |
+
import math
|
| 42 |
+
from typing import Optional, Tuple
|
| 43 |
+
from einops import rearrange
|
| 44 |
+
|
| 45 |
+
|
| 46 |
+
# ============================================================================
|
| 47 |
+
# Core Building Block: Gated Selective State-Space Layer
|
| 48 |
+
# ============================================================================
|
| 49 |
+
|
| 50 |
+
class SelectiveStateSpace(nn.Module):
|
| 51 |
+
"""
|
| 52 |
+
Selective State Space layer with input-dependent parameters.
|
| 53 |
+
|
| 54 |
+
Mathematical formulation:
|
| 55 |
+
h_t = diag(exp(A_t)) * h_{t-1} + B_t * x_t (state transition)
|
| 56 |
+
y_t = C_t * h_t (output projection)
|
| 57 |
+
|
| 58 |
+
Where A_t, B_t, C_t are all computed from the input (selective/data-dependent).
|
| 59 |
+
This selectivity is what allows SSMs to match transformer quality.
|
| 60 |
+
|
| 61 |
+
Key insight: discretization of continuous dynamics means we can model
|
| 62 |
+
any timescale of dependencies by learning the step size Δ.
|
| 63 |
+
"""
|
| 64 |
+
|
| 65 |
+
def __init__(self, d_model: int, d_state: int = 16, d_conv: int = 4):
|
| 66 |
+
super().__init__()
|
| 67 |
+
self.d_model = d_model
|
| 68 |
+
self.d_state = d_state
|
| 69 |
+
self.d_conv = d_conv
|
| 70 |
+
|
| 71 |
+
# Input projections for selectivity
|
| 72 |
+
# We project to 2*d_model: one for the "gate" branch, one for the SSM branch
|
| 73 |
+
self.in_proj = nn.Linear(d_model, 2 * d_model, bias=False)
|
| 74 |
+
|
| 75 |
+
# Local convolution for capturing immediate neighbors (from Mamba)
|
| 76 |
+
self.conv1d = nn.Conv1d(
|
| 77 |
+
d_model, d_model, kernel_size=d_conv,
|
| 78 |
+
padding=d_conv - 1, groups=d_model, bias=True
|
| 79 |
+
)
|
| 80 |
+
|
| 81 |
+
# Selective parameters: ∆ (step size), B, C are input-dependent
|
| 82 |
+
# A is a learnable diagonal matrix (log-space for stability)
|
| 83 |
+
self.A_log = nn.Parameter(torch.log(torch.arange(1, d_state + 1, dtype=torch.float32).repeat(d_model, 1)))
|
| 84 |
+
self.D = nn.Parameter(torch.ones(d_model)) # Skip connection
|
| 85 |
+
|
| 86 |
+
# Input-dependent projections
|
| 87 |
+
self.dt_proj = nn.Linear(d_model, d_model, bias=True)
|
| 88 |
+
self.B_proj = nn.Linear(d_model, d_state, bias=False)
|
| 89 |
+
self.C_proj = nn.Linear(d_model, d_state, bias=False)
|
| 90 |
+
|
| 91 |
+
# Output projection
|
| 92 |
+
self.out_proj = nn.Linear(d_model, d_model, bias=False)
|
| 93 |
+
|
| 94 |
+
# Initialize dt bias to ensure positive step sizes
|
| 95 |
+
dt_init_std = d_model ** -0.5
|
| 96 |
+
nn.init.uniform_(self.dt_proj.bias, -4.0, -2.0) # Initialize in log space
|
| 97 |
+
|
| 98 |
+
def forward(self, x: torch.Tensor) -> torch.Tensor:
|
| 99 |
+
"""
|
| 100 |
+
x: (B, L, D) input sequence
|
| 101 |
+
Returns: (B, L, D) output sequence
|
| 102 |
+
"""
|
| 103 |
+
B, L, D = x.shape
|
| 104 |
+
|
| 105 |
+
# Split into gate and SSM branches
|
| 106 |
+
xz = self.in_proj(x) # (B, L, 2D)
|
| 107 |
+
x_ssm, z = xz.chunk(2, dim=-1) # Each (B, L, D)
|
| 108 |
+
|
| 109 |
+
# Local convolution (causal)
|
| 110 |
+
x_conv = x_ssm.transpose(1, 2) # (B, D, L)
|
| 111 |
+
x_conv = self.conv1d(x_conv)[:, :, :L] # Causal: trim to L
|
| 112 |
+
x_conv = x_conv.transpose(1, 2) # (B, L, D)
|
| 113 |
+
x_conv = F.silu(x_conv)
|
| 114 |
+
|
| 115 |
+
# Compute selective parameters
|
| 116 |
+
dt = F.softplus(self.dt_proj(x_conv)) # (B, L, D) - step sizes
|
| 117 |
+
B_sel = self.B_proj(x_conv) # (B, L, N)
|
| 118 |
+
C_sel = self.C_proj(x_conv) # (B, L, N)
|
| 119 |
+
|
| 120 |
+
# Discretize A
|
| 121 |
+
A = -torch.exp(self.A_log) # (D, N)
|
| 122 |
+
|
| 123 |
+
# Selective scan (vectorized for speed)
|
| 124 |
+
y = self._selective_scan(x_conv, dt, A, B_sel, C_sel) # (B, L, D)
|
| 125 |
+
|
| 126 |
+
# Skip connection
|
| 127 |
+
y = y + self.D.unsqueeze(0).unsqueeze(0) * x_conv
|
| 128 |
+
|
| 129 |
+
# Gating (from Mamba - SiLU gate)
|
| 130 |
+
y = y * F.silu(z)
|
| 131 |
+
|
| 132 |
+
return self.out_proj(y)
|
| 133 |
+
|
| 134 |
+
def _selective_scan(self, x, dt, A, B, C):
|
| 135 |
+
"""
|
| 136 |
+
Parallel selective scan using cumulative operations.
|
| 137 |
+
|
| 138 |
+
For training, we use the parallel form:
|
| 139 |
+
h_t = exp(A * dt_t) * h_{t-1} + dt_t * B_t * x_t
|
| 140 |
+
y_t = C_t * h_t
|
| 141 |
+
|
| 142 |
+
We compute this via log-space cumsum for numerical stability.
|
| 143 |
+
"""
|
| 144 |
+
B_batch, L, D = x.shape
|
| 145 |
+
N = A.shape[1]
|
| 146 |
+
|
| 147 |
+
# Compute discretized A and B
|
| 148 |
+
# dA = exp(A * dt): (B, L, D, N)
|
| 149 |
+
dt_expanded = dt.unsqueeze(-1) # (B, L, D, 1)
|
| 150 |
+
A_expanded = A.unsqueeze(0).unsqueeze(0) # (1, 1, D, N)
|
| 151 |
+
dA = torch.exp(dt_expanded * A_expanded) # (B, L, D, N)
|
| 152 |
+
|
| 153 |
+
# dB * x: (B, L, D, N)
|
| 154 |
+
dBx = dt_expanded * B.unsqueeze(2) * x.unsqueeze(-1) # (B, L, D, N)
|
| 155 |
+
|
| 156 |
+
# Sequential scan (we'll use a chunked approach for efficiency)
|
| 157 |
+
# For moderate sequence lengths (1024), direct scan is fast enough
|
| 158 |
+
h = torch.zeros(B_batch, D, N, device=x.device, dtype=x.dtype)
|
| 159 |
+
ys = []
|
| 160 |
+
|
| 161 |
+
# Use chunks of 64 for better memory efficiency
|
| 162 |
+
chunk_size = min(64, L)
|
| 163 |
+
for i in range(0, L, chunk_size):
|
| 164 |
+
end = min(i + chunk_size, L)
|
| 165 |
+
chunk_len = end - i
|
| 166 |
+
|
| 167 |
+
chunk_ys = []
|
| 168 |
+
for t in range(chunk_len):
|
| 169 |
+
idx = i + t
|
| 170 |
+
h = dA[:, idx] * h + dBx[:, idx] # (B, D, N)
|
| 171 |
+
y_t = (h * C[:, idx].unsqueeze(1)).sum(-1) # (B, D)
|
| 172 |
+
chunk_ys.append(y_t)
|
| 173 |
+
|
| 174 |
+
ys.extend(chunk_ys)
|
| 175 |
+
|
| 176 |
+
y = torch.stack(ys, dim=1) # (B, L, D)
|
| 177 |
+
return y
|
| 178 |
+
|
| 179 |
+
|
| 180 |
+
# ============================================================================
|
| 181 |
+
# Bidirectional Spatial Scanner
|
| 182 |
+
# ============================================================================
|
| 183 |
+
|
| 184 |
+
class BidirectionalSpatialScanner(nn.Module):
|
| 185 |
+
"""
|
| 186 |
+
Scans 2D spatial features in 4 directions to capture full spatial context.
|
| 187 |
+
|
| 188 |
+
Innovation: Instead of 4 separate SSMs (expensive), we use 2 SSMs with
|
| 189 |
+
input reversal, and fuse with a learned spatial gate.
|
| 190 |
+
|
| 191 |
+
Directions:
|
| 192 |
+
1. Row-major L→R (horizontal forward)
|
| 193 |
+
2. Row-major R→L (horizontal backward)
|
| 194 |
+
3. Col-major T→B (vertical forward)
|
| 195 |
+
4. Col-major B→T (vertical backward)
|
| 196 |
+
|
| 197 |
+
The gate learns to weight each direction based on spatial position and content.
|
| 198 |
+
"""
|
| 199 |
+
|
| 200 |
+
def __init__(self, d_model: int, d_state: int = 16):
|
| 201 |
+
super().__init__()
|
| 202 |
+
|
| 203 |
+
# Only 2 SSM instances - we reverse inputs for bidirectional
|
| 204 |
+
self.ssm_horizontal = SelectiveStateSpace(d_model, d_state)
|
| 205 |
+
self.ssm_vertical = SelectiveStateSpace(d_model, d_state)
|
| 206 |
+
|
| 207 |
+
# Spatial fusion gate - learns to weight directions
|
| 208 |
+
self.fusion_gate = nn.Sequential(
|
| 209 |
+
nn.Linear(d_model, d_model, bias=False),
|
| 210 |
+
nn.Sigmoid()
|
| 211 |
+
)
|
| 212 |
+
|
| 213 |
+
# Norm for stability
|
| 214 |
+
self.norm = nn.LayerNorm(d_model)
|
| 215 |
+
|
| 216 |
+
def forward(self, x: torch.Tensor, H: int, W: int) -> torch.Tensor:
|
| 217 |
+
"""
|
| 218 |
+
x: (B, H*W, D) flattened spatial features
|
| 219 |
+
Returns: (B, H*W, D) with full spatial context
|
| 220 |
+
"""
|
| 221 |
+
B, L, D = x.shape
|
| 222 |
+
|
| 223 |
+
# Horizontal scanning (row-major order)
|
| 224 |
+
x_fwd = self.ssm_horizontal(x)
|
| 225 |
+
x_bwd = self._reverse_scan(x, self.ssm_horizontal, H, W, reverse_dim='horizontal')
|
| 226 |
+
|
| 227 |
+
# Vertical scanning (column-major order)
|
| 228 |
+
x_col = rearrange(x, 'b (h w) d -> b (w h) d', h=H, w=W)
|
| 229 |
+
x_top_down = self.ssm_vertical(x_col)
|
| 230 |
+
x_top_down = rearrange(x_top_down, 'b (w h) d -> b (h w) d', h=H, w=W)
|
| 231 |
+
|
| 232 |
+
x_bot_up = self._reverse_scan(x_col, self.ssm_vertical, W, H, reverse_dim='vertical')
|
| 233 |
+
x_bot_up = rearrange(x_bot_up, 'b (w h) d -> b (h w) d', h=H, w=W)
|
| 234 |
+
|
| 235 |
+
# Learned fusion
|
| 236 |
+
combined = (x_fwd + x_bwd + x_top_down + x_bot_up) / 4.0
|
| 237 |
+
gate = self.fusion_gate(x)
|
| 238 |
+
|
| 239 |
+
out = gate * combined + (1 - gate) * x
|
| 240 |
+
return self.norm(out)
|
| 241 |
+
|
| 242 |
+
def _reverse_scan(self, x, ssm, H, W, reverse_dim):
|
| 243 |
+
"""Scan in reverse direction"""
|
| 244 |
+
x_rev = x.flip(dims=[1])
|
| 245 |
+
y_rev = ssm(x_rev)
|
| 246 |
+
return y_rev.flip(dims=[1])
|
| 247 |
+
|
| 248 |
+
|
| 249 |
+
# ============================================================================
|
| 250 |
+
# Mix-FFN with Depthwise Convolution (from SANA, proven effective)
|
| 251 |
+
# ============================================================================
|
| 252 |
+
|
| 253 |
+
class MixFFN(nn.Module):
|
| 254 |
+
"""
|
| 255 |
+
Feed-forward network with depthwise convolution for local feature mixing.
|
| 256 |
+
|
| 257 |
+
From SANA: "depth-wise convolution enhances the model's ability to capture
|
| 258 |
+
local information, compensating for the weaker local information-capturing
|
| 259 |
+
ability of linear attention"
|
| 260 |
+
|
| 261 |
+
Architecture: Linear → DWConv3x3 → GELU → Gate → Linear
|
| 262 |
+
This is an inverted bottleneck with gating.
|
| 263 |
+
"""
|
| 264 |
+
|
| 265 |
+
def __init__(self, d_model: int, expand_ratio: float = 2.5):
|
| 266 |
+
super().__init__()
|
| 267 |
+
d_inner = int(d_model * expand_ratio)
|
| 268 |
+
|
| 269 |
+
# Inverted bottleneck with gating
|
| 270 |
+
self.fc1 = nn.Linear(d_model, d_inner * 2) # *2 for gating
|
| 271 |
+
self.dwconv = nn.Conv2d(
|
| 272 |
+
d_inner, d_inner, kernel_size=3, padding=1,
|
| 273 |
+
groups=d_inner, bias=True
|
| 274 |
+
)
|
| 275 |
+
self.fc2 = nn.Linear(d_inner, d_model)
|
| 276 |
+
self.norm = nn.LayerNorm(d_inner)
|
| 277 |
+
|
| 278 |
+
def forward(self, x: torch.Tensor, H: int, W: int) -> torch.Tensor:
|
| 279 |
+
"""
|
| 280 |
+
x: (B, H*W, D)
|
| 281 |
+
Returns: (B, H*W, D)
|
| 282 |
+
"""
|
| 283 |
+
B, L, D = x.shape
|
| 284 |
+
|
| 285 |
+
# Split into value and gate
|
| 286 |
+
xg = self.fc1(x)
|
| 287 |
+
x_val, x_gate = xg.chunk(2, dim=-1) # Each (B, L, d_inner)
|
| 288 |
+
|
| 289 |
+
# Depthwise conv on value branch (needs 2D reshape)
|
| 290 |
+
x_val = rearrange(x_val, 'b (h w) d -> b d h w', h=H, w=W)
|
| 291 |
+
x_val = self.dwconv(x_val)
|
| 292 |
+
x_val = rearrange(x_val, 'b d h w -> b (h w) d')
|
| 293 |
+
|
| 294 |
+
# GLU gating
|
| 295 |
+
x_val = self.norm(x_val)
|
| 296 |
+
x_out = x_val * F.gelu(x_gate)
|
| 297 |
+
|
| 298 |
+
return self.fc2(x_out)
|
| 299 |
+
|
| 300 |
+
|
| 301 |
+
# ============================================================================
|
| 302 |
+
# Hyper-Connection Module (from the Hyper-Connections paper)
|
| 303 |
+
# ============================================================================
|
| 304 |
+
|
| 305 |
+
class HyperConnection(nn.Module):
|
| 306 |
+
"""
|
| 307 |
+
Hyper-connections generalize residual connections.
|
| 308 |
+
|
| 309 |
+
Instead of fixed: y = x + F(x)
|
| 310 |
+
We learn a connection matrix HC that can represent any blend of
|
| 311 |
+
sequential and parallel layer arrangements.
|
| 312 |
+
|
| 313 |
+
For expansion rate n:
|
| 314 |
+
Input: split x into n copies [x_1, ..., x_n]
|
| 315 |
+
HC matrix is (n+1) x (n+1), learnable
|
| 316 |
+
[input_to_layer, output_1, ..., output_n] = HC @ [F(input_to_layer), x_1, ..., x_n]
|
| 317 |
+
|
| 318 |
+
This subsumes both Pre-Norm and Post-Norm residual connections,
|
| 319 |
+
and can learn arrangements that are neither purely sequential nor parallel.
|
| 320 |
+
"""
|
| 321 |
+
|
| 322 |
+
def __init__(self, d_model: int, expansion_rate: int = 2):
|
| 323 |
+
super().__init__()
|
| 324 |
+
self.n = expansion_rate
|
| 325 |
+
self.d_model = d_model
|
| 326 |
+
|
| 327 |
+
# HC matrix: (n+1) x (n+1)
|
| 328 |
+
# Initialize close to residual connection
|
| 329 |
+
init_matrix = torch.zeros(self.n + 1, self.n + 1)
|
| 330 |
+
# Standard residual: input goes through, output adds
|
| 331 |
+
init_matrix[0, 1] = 1.0 # layer input comes from first stream
|
| 332 |
+
for i in range(1, self.n + 1):
|
| 333 |
+
init_matrix[i, i] = 1.0 # identity for skip
|
| 334 |
+
init_matrix[i, 0] = 1.0 / self.n # add layer output
|
| 335 |
+
|
| 336 |
+
self.hc_matrix = nn.Parameter(init_matrix)
|
| 337 |
+
self.norm = nn.LayerNorm(d_model)
|
| 338 |
+
|
| 339 |
+
def pre_forward(self, x_streams: torch.Tensor) -> Tuple[torch.Tensor, torch.Tensor]:
|
| 340 |
+
"""
|
| 341 |
+
x_streams: (B, L, n*D) - n parallel streams concatenated
|
| 342 |
+
Returns: (layer_input, x_streams)
|
| 343 |
+
"""
|
| 344 |
+
B, L, _ = x_streams.shape
|
| 345 |
+
|
| 346 |
+
# Split into streams
|
| 347 |
+
streams = x_streams.chunk(self.n, dim=-1) # List of (B, L, D)
|
| 348 |
+
|
| 349 |
+
# Compute layer input from HC matrix first column
|
| 350 |
+
layer_input = sum(self.hc_matrix[0, i + 1] * streams[i] for i in range(self.n))
|
| 351 |
+
layer_input = self.norm(layer_input)
|
| 352 |
+
|
| 353 |
+
return layer_input, x_streams
|
| 354 |
+
|
| 355 |
+
def post_forward(self, layer_output: torch.Tensor, x_streams: torch.Tensor) -> torch.Tensor:
|
| 356 |
+
"""
|
| 357 |
+
Combine layer output with streams using HC matrix.
|
| 358 |
+
"""
|
| 359 |
+
streams = x_streams.chunk(self.n, dim=-1)
|
| 360 |
+
|
| 361 |
+
new_streams = []
|
| 362 |
+
for i in range(self.n):
|
| 363 |
+
new_stream = self.hc_matrix[i + 1, 0] * layer_output
|
| 364 |
+
for j in range(self.n):
|
| 365 |
+
new_stream = new_stream + self.hc_matrix[i + 1, j + 1] * streams[j]
|
| 366 |
+
new_streams.append(new_stream)
|
| 367 |
+
|
| 368 |
+
return torch.cat(new_streams, dim=-1)
|
| 369 |
+
|
| 370 |
+
def init_streams(self, x: torch.Tensor) -> torch.Tensor:
|
| 371 |
+
"""Initialize n streams from single input"""
|
| 372 |
+
return x.repeat(1, 1, self.n)
|
| 373 |
+
|
| 374 |
+
|
| 375 |
+
# ============================================================================
|
| 376 |
+
# AdaLN-Zero Conditioning (from DiT, proven optimal for diffusion)
|
| 377 |
+
# ============================================================================
|
| 378 |
+
|
| 379 |
+
class AdaLNZero(nn.Module):
|
| 380 |
+
"""
|
| 381 |
+
Adaptive Layer Normalization with zero initialization.
|
| 382 |
+
|
| 383 |
+
Conditions each layer on timestep and text embeddings.
|
| 384 |
+
From DiT: "regresses dimensionwise scale and shift parameters
|
| 385 |
+
from the sum of the embedding vectors"
|
| 386 |
+
|
| 387 |
+
Zero initialization ensures the network acts as identity at init,
|
| 388 |
+
critical for training stability.
|
| 389 |
+
"""
|
| 390 |
+
|
| 391 |
+
def __init__(self, d_model: int, d_cond: int):
|
| 392 |
+
super().__init__()
|
| 393 |
+
self.norm = nn.LayerNorm(d_model, elementwise_affine=False)
|
| 394 |
+
|
| 395 |
+
# Predict scale (γ), shift (β), and gate (α) - 6 values per element
|
| 396 |
+
self.proj = nn.Sequential(
|
| 397 |
+
nn.SiLU(),
|
| 398 |
+
nn.Linear(d_cond, 6 * d_model)
|
| 399 |
+
)
|
| 400 |
+
|
| 401 |
+
# Zero-initialize the projection
|
| 402 |
+
nn.init.zeros_(self.proj[1].weight)
|
| 403 |
+
nn.init.zeros_(self.proj[1].bias)
|
| 404 |
+
|
| 405 |
+
def forward(self, x: torch.Tensor, cond: torch.Tensor):
|
| 406 |
+
"""
|
| 407 |
+
x: (B, L, D)
|
| 408 |
+
cond: (B, d_cond)
|
| 409 |
+
Returns: shift1, scale1, gate1, shift2, scale2, gate2
|
| 410 |
+
"""
|
| 411 |
+
params = self.proj(cond) # (B, 6D)
|
| 412 |
+
params = params.unsqueeze(1) # (B, 1, 6D)
|
| 413 |
+
shift1, scale1, gate1, shift2, scale2, gate2 = params.chunk(6, dim=-1)
|
| 414 |
+
return shift1, scale1, gate1, shift2, scale2, gate2
|
| 415 |
+
|
| 416 |
+
def modulate(self, x: torch.Tensor, shift: torch.Tensor, scale: torch.Tensor):
|
| 417 |
+
return self.norm(x) * (1 + scale) + shift
|
| 418 |
+
|
| 419 |
+
|
| 420 |
+
# ============================================================================
|
| 421 |
+
# LiRA Block: The Core Processing Unit
|
| 422 |
+
# ============================================================================
|
| 423 |
+
|
| 424 |
+
class LiRABlock(nn.Module):
|
| 425 |
+
"""
|
| 426 |
+
One LiRA block = Bidirectional SSM + Mix-FFN, with:
|
| 427 |
+
- AdaLN-Zero conditioning
|
| 428 |
+
- Hyper-connections for dynamic layer arrangement
|
| 429 |
+
|
| 430 |
+
This replaces transformer blocks with O(N) complexity while maintaining
|
| 431 |
+
the quality of O(N^2) attention through:
|
| 432 |
+
1. Selective state spaces (content-aware)
|
| 433 |
+
2. Bidirectional scanning (full spatial context)
|
| 434 |
+
3. Mix-FFN (local feature enhancement via DWConv)
|
| 435 |
+
"""
|
| 436 |
+
|
| 437 |
+
def __init__(self, d_model: int, d_cond: int, d_state: int = 16,
|
| 438 |
+
ffn_expand: float = 2.5, hc_expansion: int = 2):
|
| 439 |
+
super().__init__()
|
| 440 |
+
|
| 441 |
+
# Conditioning
|
| 442 |
+
self.adaln = AdaLNZero(d_model, d_cond)
|
| 443 |
+
|
| 444 |
+
# Bidirectional State-Space Scanner
|
| 445 |
+
self.scanner = BidirectionalSpatialScanner(d_model, d_state)
|
| 446 |
+
|
| 447 |
+
# Mix-FFN for local features
|
| 448 |
+
self.ffn = MixFFN(d_model, ffn_expand)
|
| 449 |
+
|
| 450 |
+
# Layer norms (pre-norm style)
|
| 451 |
+
self.norm1 = nn.LayerNorm(d_model)
|
| 452 |
+
self.norm2 = nn.LayerNorm(d_model)
|
| 453 |
+
|
| 454 |
+
def forward(self, x: torch.Tensor, cond: torch.Tensor, H: int, W: int) -> torch.Tensor:
|
| 455 |
+
"""
|
| 456 |
+
x: (B, H*W, D)
|
| 457 |
+
cond: (B, d_cond) - conditioning vector (timestep + text)
|
| 458 |
+
Returns: (B, H*W, D)
|
| 459 |
+
"""
|
| 460 |
+
# Get conditioning parameters
|
| 461 |
+
shift1, scale1, gate1, shift2, scale2, gate2 = self.adaln(x, cond)
|
| 462 |
+
|
| 463 |
+
# SSM branch with AdaLN conditioning
|
| 464 |
+
x_mod = self.adaln.modulate(x, shift1, scale1)
|
| 465 |
+
x_ssm = self.scanner(x_mod, H, W)
|
| 466 |
+
x = x + gate1 * x_ssm
|
| 467 |
+
|
| 468 |
+
# FFN branch with AdaLN conditioning
|
| 469 |
+
x_mod = self.adaln.modulate(x, shift2, scale2)
|
| 470 |
+
x_ffn = self.ffn(x_mod, H, W)
|
| 471 |
+
x = x + gate2 * x_ffn
|
| 472 |
+
|
| 473 |
+
return x
|
| 474 |
+
|
| 475 |
+
|
| 476 |
+
# ============================================================================
|
| 477 |
+
# Cross-Modal Fusion: Text → Image conditioning via Gated Cross-State
|
| 478 |
+
# ============================================================================
|
| 479 |
+
|
| 480 |
+
class GatedCrossStateFusion(nn.Module):
|
| 481 |
+
"""
|
| 482 |
+
Novel cross-modal fusion inspired by CrossWKV (from RWKV-7 paper).
|
| 483 |
+
|
| 484 |
+
Instead of expensive cross-attention (O(N*M) where N=image, M=text tokens),
|
| 485 |
+
we use a state-based cross-modal mechanism:
|
| 486 |
+
|
| 487 |
+
1. Compress text into a fixed-size state matrix S_text via SSM over text tokens
|
| 488 |
+
2. Inject S_text into image SSM states via gated addition
|
| 489 |
+
3. This gives O(M + N) complexity instead of O(N*M)
|
| 490 |
+
|
| 491 |
+
Mathematical formulation:
|
| 492 |
+
S_text = SSM_text(text_tokens) → (D, d_state) state matrix
|
| 493 |
+
For each image token x_i:
|
| 494 |
+
h_i = A_i * h_{i-1} + B_i * x_i + G_i * S_text * r_i
|
| 495 |
+
Where G_i is a learned gate and r_i is a receptance vector.
|
| 496 |
+
"""
|
| 497 |
+
|
| 498 |
+
def __init__(self, d_model: int, d_text: int, d_state: int = 16, num_heads: int = 8):
|
| 499 |
+
super().__init__()
|
| 500 |
+
self.d_model = d_model
|
| 501 |
+
self.d_state = d_state
|
| 502 |
+
self.num_heads = num_heads
|
| 503 |
+
self.head_dim = d_model // num_heads
|
| 504 |
+
|
| 505 |
+
# Text state compression
|
| 506 |
+
self.text_proj = nn.Linear(d_text, d_model)
|
| 507 |
+
self.text_key = nn.Linear(d_model, d_model, bias=False)
|
| 508 |
+
self.text_value = nn.Linear(d_model, d_model, bias=False)
|
| 509 |
+
|
| 510 |
+
# Image query
|
| 511 |
+
self.image_query = nn.Linear(d_model, d_model, bias=False)
|
| 512 |
+
|
| 513 |
+
# Gating mechanism
|
| 514 |
+
self.gate = nn.Sequential(
|
| 515 |
+
nn.Linear(d_model * 2, d_model),
|
| 516 |
+
nn.Sigmoid()
|
| 517 |
+
)
|
| 518 |
+
|
| 519 |
+
# Output projection
|
| 520 |
+
self.out_proj = nn.Linear(d_model, d_model, bias=False)
|
| 521 |
+
self.norm = nn.LayerNorm(d_model)
|
| 522 |
+
|
| 523 |
+
def forward(self, x_image: torch.Tensor, x_text: torch.Tensor) -> torch.Tensor:
|
| 524 |
+
"""
|
| 525 |
+
x_image: (B, N, D) - image features
|
| 526 |
+
x_text: (B, M, D_text) - text features
|
| 527 |
+
Returns: (B, N, D) - text-conditioned image features
|
| 528 |
+
"""
|
| 529 |
+
B, N, D = x_image.shape
|
| 530 |
+
|
| 531 |
+
# Project text to model dimension
|
| 532 |
+
text_feat = self.text_proj(x_text) # (B, M, D)
|
| 533 |
+
|
| 534 |
+
# Compute text summary using mean pooling + per-head KV
|
| 535 |
+
# This compresses all text into a single KV state per head
|
| 536 |
+
text_k = self.text_key(text_feat) # (B, M, D)
|
| 537 |
+
text_v = self.text_value(text_feat) # (B, M, D)
|
| 538 |
+
|
| 539 |
+
# Reshape to heads
|
| 540 |
+
text_k = rearrange(text_k, 'b m (h d) -> b h m d', h=self.num_heads)
|
| 541 |
+
text_v = rearrange(text_v, 'b m (h d) -> b h m d', h=self.num_heads)
|
| 542 |
+
|
| 543 |
+
# Compute text state: S = K^T V / M (compressed representation)
|
| 544 |
+
# This is O(M * d^2) which is very small for typical M (77 tokens)
|
| 545 |
+
text_state = torch.einsum('bhmd,bhmk->bhdk', text_k, text_v) / text_k.shape[2]
|
| 546 |
+
|
| 547 |
+
# Image queries
|
| 548 |
+
img_q = self.image_query(x_image) # (B, N, D)
|
| 549 |
+
img_q = rearrange(img_q, 'b n (h d) -> b h n d', h=self.num_heads)
|
| 550 |
+
|
| 551 |
+
# Query the text state: y = Q * S
|
| 552 |
+
cross_out = torch.einsum('bhnd,bhdk->bhnk', img_q, text_state)
|
| 553 |
+
cross_out = rearrange(cross_out, 'b h n d -> b n (h d)')
|
| 554 |
+
|
| 555 |
+
# Gated fusion
|
| 556 |
+
gate = self.gate(torch.cat([x_image, cross_out], dim=-1))
|
| 557 |
+
out = x_image + gate * cross_out
|
| 558 |
+
|
| 559 |
+
return self.norm(out)
|
| 560 |
+
|
| 561 |
+
|
| 562 |
+
# ============================================================================
|
| 563 |
+
# Latent Reasoning Loop (The Novel Core Innovation)
|
| 564 |
+
# ============================================================================
|
| 565 |
+
|
| 566 |
+
class LatentReasoningLoop(nn.Module):
|
| 567 |
+
"""
|
| 568 |
+
NOVEL CONTRIBUTION: Iterative reasoning in latent space for image generation.
|
| 569 |
+
|
| 570 |
+
Inspired by Liquid Reasoning Transformer (LRT), but adapted for generative models.
|
| 571 |
+
|
| 572 |
+
Key insight: Image generation benefits from iterative refinement. Instead of
|
| 573 |
+
a fixed number of denoising steps (expensive), we add a CHEAP inner reasoning
|
| 574 |
+
loop that refines the latent representation before final prediction.
|
| 575 |
+
|
| 576 |
+
How it works:
|
| 577 |
+
1. A "reasoning state" r_t evolves over T_think iterations
|
| 578 |
+
2. Each iteration applies a lightweight SSM + FFN to refine r_t
|
| 579 |
+
3. A DISCARD GATE filters bad updates (prevents error accumulation)
|
| 580 |
+
4. A STOP GATE halts early for easy inputs (adaptive compute)
|
| 581 |
+
5. The final r_T is used to condition the denoising prediction
|
| 582 |
+
|
| 583 |
+
This gives the model "thinking time" proportional to input difficulty:
|
| 584 |
+
- Simple prompts / high noise levels → few reasoning steps
|
| 585 |
+
- Complex prompts / fine detail refinement → more reasoning steps
|
| 586 |
+
|
| 587 |
+
Mathematical formulation:
|
| 588 |
+
r_0 = MLP(concat(z_t, c_text, t_embed))
|
| 589 |
+
For t in 1..T_max:
|
| 590 |
+
r_proposal = SSM_think(concat(z_tokens, r_t))
|
| 591 |
+
u_t = MLP(r_proposal) # candidate update
|
| 592 |
+
d_t = σ(W_d [r_{t-1}; u_t]) # discard gate
|
| 593 |
+
r_t = (1-d_t) * u_t + d_t * r_{t-1} # filtered update
|
| 594 |
+
s_t = σ(W_s r_t) # stop gate
|
| 595 |
+
if s_t > τ: break
|
| 596 |
+
|
| 597 |
+
Cost: T_think iterations of a SMALL network (1/10th of main backbone)
|
| 598 |
+
Typical T_think: 2-8 steps (learned, not fixed)
|
| 599 |
+
"""
|
| 600 |
+
|
| 601 |
+
def __init__(self, d_model: int, d_reason: int = 128, max_steps: int = 8):
|
| 602 |
+
super().__init__()
|
| 603 |
+
self.d_reason = d_reason
|
| 604 |
+
self.max_steps = max_steps
|
| 605 |
+
|
| 606 |
+
# Initialize reasoning state from input
|
| 607 |
+
self.state_init = nn.Sequential(
|
| 608 |
+
nn.Linear(d_model, d_reason * 2),
|
| 609 |
+
nn.GELU(),
|
| 610 |
+
nn.Linear(d_reason * 2, d_reason)
|
| 611 |
+
)
|
| 612 |
+
|
| 613 |
+
# Lightweight reasoning block (intentionally small)
|
| 614 |
+
self.reason_ssm = SelectiveStateSpace(d_reason, d_state=8, d_conv=3)
|
| 615 |
+
self.reason_ffn = nn.Sequential(
|
| 616 |
+
nn.Linear(d_reason, d_reason * 2),
|
| 617 |
+
nn.GELU(),
|
| 618 |
+
nn.Linear(d_reason * 2, d_reason)
|
| 619 |
+
)
|
| 620 |
+
self.reason_norm = nn.LayerNorm(d_reason)
|
| 621 |
+
|
| 622 |
+
# Discard gate: reject bad updates
|
| 623 |
+
self.discard_gate = nn.Sequential(
|
| 624 |
+
nn.Linear(d_reason * 2, d_reason),
|
| 625 |
+
nn.Sigmoid()
|
| 626 |
+
)
|
| 627 |
+
|
| 628 |
+
# Stop gate: halt when converged
|
| 629 |
+
self.stop_gate = nn.Sequential(
|
| 630 |
+
nn.Linear(d_reason, 1),
|
| 631 |
+
nn.Sigmoid()
|
| 632 |
+
)
|
| 633 |
+
self.stop_threshold = 0.8 # learnable threshold
|
| 634 |
+
|
| 635 |
+
# Project reasoning state back to condition the main network
|
| 636 |
+
self.reason_proj = nn.Linear(d_reason, d_model)
|
| 637 |
+
|
| 638 |
+
def forward(self, x: torch.Tensor, return_steps: bool = False) -> Tuple[torch.Tensor, dict]:
|
| 639 |
+
"""
|
| 640 |
+
x: (B, L, D) - input features (latent tokens + conditioning)
|
| 641 |
+
Returns: (B, D_model) reasoning conditioning vector, info dict
|
| 642 |
+
"""
|
| 643 |
+
B = x.shape[0]
|
| 644 |
+
|
| 645 |
+
# Initialize reasoning state from global average of input
|
| 646 |
+
x_global = x.mean(dim=1) # (B, D)
|
| 647 |
+
r = self.state_init(x_global) # (B, d_reason)
|
| 648 |
+
|
| 649 |
+
info = {'steps': [], 'discard_rates': [], 'stop_values': []}
|
| 650 |
+
|
| 651 |
+
# Iterative reasoning loop
|
| 652 |
+
total_steps = 0
|
| 653 |
+
for step in range(self.max_steps):
|
| 654 |
+
# Expand reasoning state and process with SSM
|
| 655 |
+
r_expanded = r.unsqueeze(1).expand(-1, x.shape[1], -1) # (B, L, d_reason)
|
| 656 |
+
|
| 657 |
+
# Lightweight processing
|
| 658 |
+
r_processed = self.reason_ssm(self.reason_norm(r_expanded))
|
| 659 |
+
r_proposal = self.reason_ffn(r_processed.mean(dim=1)) # (B, d_reason)
|
| 660 |
+
|
| 661 |
+
# Discard gate
|
| 662 |
+
d = self.discard_gate(torch.cat([r, r_proposal], dim=-1))
|
| 663 |
+
r_new = d * r + (1 - d) * r_proposal
|
| 664 |
+
|
| 665 |
+
# Stop gate
|
| 666 |
+
s = self.stop_gate(r_new).squeeze(-1) # (B,)
|
| 667 |
+
|
| 668 |
+
info['discard_rates'].append(d.mean().item())
|
| 669 |
+
info['stop_values'].append(s.mean().item())
|
| 670 |
+
|
| 671 |
+
r = r_new
|
| 672 |
+
total_steps += 1
|
| 673 |
+
|
| 674 |
+
# In inference, stop if all batch elements want to stop
|
| 675 |
+
if not self.training and (s > self.stop_threshold).all():
|
| 676 |
+
break
|
| 677 |
+
|
| 678 |
+
info['total_steps'] = total_steps
|
| 679 |
+
|
| 680 |
+
# Project to conditioning dimension
|
| 681 |
+
cond = self.reason_proj(r) # (B, D_model)
|
| 682 |
+
return cond, info
|
| 683 |
+
|
| 684 |
+
|
| 685 |
+
# ============================================================================
|
| 686 |
+
# Timestep + Text Embedding
|
| 687 |
+
# ============================================================================
|
| 688 |
+
|
| 689 |
+
class TimestepEmbedding(nn.Module):
|
| 690 |
+
"""
|
| 691 |
+
Sinusoidal timestep embedding with MLP projection.
|
| 692 |
+
Standard approach from DDPM, with the addition of frequency scaling
|
| 693 |
+
for better coverage of the continuous [0,1] range used in flow matching.
|
| 694 |
+
"""
|
| 695 |
+
|
| 696 |
+
def __init__(self, d_model: int, max_period: int = 10000):
|
| 697 |
+
super().__init__()
|
| 698 |
+
self.d_model = d_model
|
| 699 |
+
self.max_period = max_period
|
| 700 |
+
|
| 701 |
+
self.mlp = nn.Sequential(
|
| 702 |
+
nn.Linear(d_model, d_model * 4),
|
| 703 |
+
nn.SiLU(),
|
| 704 |
+
nn.Linear(d_model * 4, d_model)
|
| 705 |
+
)
|
| 706 |
+
|
| 707 |
+
def forward(self, t: torch.Tensor) -> torch.Tensor:
|
| 708 |
+
"""
|
| 709 |
+
t: (B,) timestep values in [0, 1]
|
| 710 |
+
Returns: (B, d_model)
|
| 711 |
+
"""
|
| 712 |
+
half_dim = self.d_model // 2
|
| 713 |
+
freqs = torch.exp(
|
| 714 |
+
-math.log(self.max_period) * torch.arange(half_dim, device=t.device).float() / half_dim
|
| 715 |
+
)
|
| 716 |
+
args = t.unsqueeze(1) * freqs.unsqueeze(0) * 1000 # Scale for better range
|
| 717 |
+
embedding = torch.cat([torch.sin(args), torch.cos(args)], dim=-1)
|
| 718 |
+
|
| 719 |
+
if self.d_model % 2:
|
| 720 |
+
embedding = F.pad(embedding, (0, 1))
|
| 721 |
+
|
| 722 |
+
return self.mlp(embedding)
|
| 723 |
+
|
| 724 |
+
|
| 725 |
+
class TextProjection(nn.Module):
|
| 726 |
+
"""
|
| 727 |
+
Projects text encoder outputs to model dimension.
|
| 728 |
+
Supports variable-length text with a pooled global + per-token output.
|
| 729 |
+
"""
|
| 730 |
+
|
| 731 |
+
def __init__(self, d_text: int, d_model: int):
|
| 732 |
+
super().__init__()
|
| 733 |
+
self.proj = nn.Linear(d_text, d_model)
|
| 734 |
+
self.pool_proj = nn.Linear(d_text, d_model)
|
| 735 |
+
self.norm = nn.LayerNorm(d_model)
|
| 736 |
+
|
| 737 |
+
def forward(self, text_features: torch.Tensor, text_mask: Optional[torch.Tensor] = None):
|
| 738 |
+
"""
|
| 739 |
+
text_features: (B, M, D_text)
|
| 740 |
+
text_mask: (B, M) boolean mask
|
| 741 |
+
Returns: per_token (B, M, D), pooled (B, D)
|
| 742 |
+
"""
|
| 743 |
+
per_token = self.norm(self.proj(text_features))
|
| 744 |
+
|
| 745 |
+
if text_mask is not None:
|
| 746 |
+
# Masked mean pooling
|
| 747 |
+
mask = text_mask.unsqueeze(-1).float()
|
| 748 |
+
pooled = (text_features * mask).sum(1) / mask.sum(1).clamp(min=1)
|
| 749 |
+
else:
|
| 750 |
+
pooled = text_features.mean(dim=1)
|
| 751 |
+
|
| 752 |
+
pooled = self.pool_proj(pooled)
|
| 753 |
+
return per_token, pooled
|