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Precision-Guided Router for PC-SHO-DLM + MSA (Direction C)
Replaces the learned RouterProjector with routing driven by existing precision
heads. The core insight: precision heads already estimate per-token uncertainty.
Tokens the model is uncertain about should dominate the retrieval query, because
those are the tokens that *need* external memory most.
Key equation:
h_pool = sum_i (1/Pi_i) * h_i / sum_i (1/Pi_i)
score_j = cos(h_pool, KR_j)
Low-precision (high-uncertainty) tokens contribute MORE to the pooled query.
This eliminates the separate router projectors (W_QR, W_KR) entirely --
the precision heads already contain the information needed for routing.
Additionally, `precision_gain(doc)` estimates how much retrieving a document
would reduce total uncertainty, enabling principled active-retrieval decisions.
"""
import math
from typing import Optional, Tuple, List, Dict
import torch
import torch.nn as nn
import torch.nn.functional as F
from model import PrecisionHead, PCSHODLM, PCSHOConfig
from msa import (
RouterProjector,
MemoryBank,
MSALayer,
MSAConfig,
chunk_mean_pool,
create_msa_layers,
)
class PrecisionGuidedRouter(nn.Module):
"""Routes queries to memory documents using precision heads as signals.
Drop-in replacement for RouterProjector in MSALayer. Instead of learned
W_QR / W_KR projections, it uses existing precision estimates to weight
tokens when forming the retrieval query.
The precision head for a layer gives (tok_precision, ch_precision):
tok_precision: (B, S, 1) -- per-token confidence
ch_precision: (B, 1, D) -- per-channel confidence
Uncertainty = 1 / precision. We want uncertain tokens to dominate routing.
Attributes:
precision_head: the PrecisionHead from the model layer being routed
key_proj: lightweight projection from d_model -> router_dim for keys
(we still need keys in a shared space with the query)
router_dim: dimensionality of the routing space
n_heads: kept for interface compatibility with RouterProjector
d_head: router_dim // n_heads
eps: numerical stability floor for precision inversion
"""
def __init__(
self,
precision_head: PrecisionHead,
d_model: int,
router_dim: int,
n_heads: int,
eps: float = 1e-6,
):
super().__init__()
self.precision_head = precision_head
self.d_model = d_model
self.router_dim = router_dim
self.n_heads = n_heads
self.d_head = router_dim // n_heads
self.eps = eps
# Lightweight query projection: precision-pooled hidden -> router space.
# This is much smaller than RouterProjector's separate q_proj+k_proj
# because the heavy lifting is done by the precision head.
self.q_proj = nn.Linear(d_model, router_dim)
# Key projection is still needed: documents were encoded independently
# and we need their representations in the same router space.
self.k_proj = nn.Linear(d_model, router_dim)
def compute_precision_weights(
self,
h: torch.Tensor,
t: torch.Tensor,
) -> torch.Tensor:
"""Compute per-token routing weights from precision (inverse = uncertainty).
Args:
h: (B, S, D) hidden states
t: (B,) integer diffusion timesteps
Returns:
weights: (B, S, 1) normalized routing weights per token.
High-uncertainty tokens get higher weight.
"""
tok_prec, ch_prec = self.precision_head(h, t)
# tok_prec: (B, S, 1), ch_prec: (B, 1, D)
# Aggregate channel precision into a scalar per token.
# Mean across channels gives an overall confidence per-channel-group,
# then combine with token precision multiplicatively.
ch_mean = ch_prec.mean(dim=-1, keepdim=True) # (B, 1, 1)
combined_prec = tok_prec * ch_mean # (B, S, 1)
# Invert: uncertainty = 1 / precision
uncertainty = 1.0 / (combined_prec + self.eps) # (B, S, 1)
# Normalize to form a proper weighting (sums to 1 over tokens)
weights = uncertainty / (uncertainty.sum(dim=1, keepdim=True) + self.eps)
return weights
def precision_weighted_pool(
self,
h: torch.Tensor,
t: torch.Tensor,
) -> torch.Tensor:
"""Pool hidden states with precision-based weighting.
This is the key equation:
h_pool = sum_i (1/Pi_i) * h_i / sum_i (1/Pi_i)
Args:
h: (B, S, D) hidden states
t: (B,) diffusion timesteps
Returns:
h_pool: (B, D) precision-weighted pooled representation
"""
weights = self.compute_precision_weights(h, t) # (B, S, 1)
h_pool = (weights * h).sum(dim=1) # (B, D)
return h_pool
def project_query(self, h_q: torch.Tensor, t: Optional[torch.Tensor] = None) -> torch.Tensor:
"""Project query hidden states to routing space using precision weighting.
If t is provided, uses precision-weighted pooling then projects.
If t is None (fallback), uses mean pooling like standard RouterProjector.
Args:
h_q: (B, S, D) query hidden states
t: (B,) diffusion timesteps. Required for precision routing.
Returns:
qr: (B, router_dim) routing query (pooled, not per-token)
Note: Returns (B, router_dim) not (B, S, router_dim) like RouterProjector.
The caller should handle this shape difference, or use
`compute_routing_scores` which handles it internally.
"""
if t is not None:
h_pool = self.precision_weighted_pool(h_q, t) # (B, D)
else:
h_pool = h_q.mean(dim=1) # (B, D) fallback
return self.q_proj(h_pool) # (B, router_dim)
def project_key(self, h_doc: torch.Tensor) -> torch.Tensor:
"""Project document hidden states to routing space.
Same interface as RouterProjector.project_key.
Args:
h_doc: (B, S, D) or (S, D) document hidden states
Returns:
kr: same shape with last dim = router_dim
"""
return self.k_proj(h_doc)
def compute_routing_scores(
self,
h_query: torch.Tensor,
memory_routing_keys: torch.Tensor,
t: Optional[torch.Tensor] = None,
) -> torch.Tensor:
"""Score documents by relevance using precision-weighted queries.
Args:
h_query: (B, S_q, D) query hidden states
memory_routing_keys: (N_chunks, router_dim) compressed routing keys
t: (B,) diffusion timesteps
Returns:
scores: (B, N_chunks) cosine similarity scores
"""
qr = self.project_query(h_query, t=t) # (B, router_dim)
qr_norm = F.normalize(qr, dim=-1) # (B, router_dim)
kr_norm = F.normalize(memory_routing_keys, dim=-1) # (N, router_dim)
# (B, router_dim) @ (N, router_dim)^T -> (B, N)
scores = torch.einsum("bd,nd->bn", qr_norm, kr_norm.to(qr_norm.device))
return scores
def estimate_precision_gain(
self,
h_query: torch.Tensor,
t: torch.Tensor,
memory_bank: MemoryBank,
layer_idx: int,
top_k: int = 16,
) -> Tuple[torch.Tensor, List[str]]:
"""Estimate how much each document would reduce total uncertainty.
The precision gain for document j is:
gain_j = score_j * total_uncertainty
where total_uncertainty = sum_i (1/Pi_i) and score_j is the cosine
similarity. Intuition: a highly relevant document (high score) helps
most when the model is very uncertain (high total uncertainty).
For a more refined estimate, we compute the per-token gain:
gain_j = sum_i (1/Pi_i) * sim(h_i, KR_j)
This assigns more gain to documents that are relevant specifically
to the uncertain tokens.
Args:
h_query: (B, S, D) query hidden states
t: (B,) diffusion timesteps
memory_bank: the memory bank with stored document representations
layer_idx: which layer to query
top_k: return top-k documents by estimated gain
Returns:
gains: (B, top_k) estimated precision gains
doc_ids: list of document IDs for the top-k selections
"""
B, S, D = h_query.shape
# Get routing keys from memory bank
kr_all, chunk_doc_ids = memory_bank.get_routing_keys(layer_idx)
if kr_all is None:
return torch.zeros(B, 0, device=h_query.device), []
N_chunks = kr_all.shape[0]
# Compute per-token uncertainty weights (not normalized)
tok_prec, ch_prec = self.precision_head(h_query, t)
ch_mean = ch_prec.mean(dim=-1, keepdim=True) # (B, 1, 1)
combined_prec = tok_prec * ch_mean # (B, S, 1)
uncertainty = 1.0 / (combined_prec + self.eps) # (B, S, 1)
# Total uncertainty (scalar per batch element)
total_uncertainty = uncertainty.sum(dim=1).squeeze(-1) # (B,)
# Per-token similarity to each routing key
# Project query tokens to router space
h_proj = self.q_proj(h_query) # (B, S, router_dim)
h_proj_norm = F.normalize(h_proj, dim=-1)
kr_norm = F.normalize(kr_all, dim=-1).to(h_query.device)
# (B, S, router_dim) @ (N, router_dim)^T -> (B, S, N)
per_token_sim = torch.einsum("bsd,nd->bsn", h_proj_norm, kr_norm)
# Weight by uncertainty: gain_j = sum_i (1/Pi_i) * sim(h_i, KR_j)
# uncertainty: (B, S, 1), per_token_sim: (B, S, N)
gains = (uncertainty * per_token_sim).sum(dim=1) # (B, N)
# Select top-k
k = min(top_k, N_chunks)
top_gains, top_indices = gains.topk(k, dim=-1) # (B, k)
# Map indices back to document IDs (using first batch element)
selected_doc_ids = []
if B > 0:
indices_0 = top_indices[0].tolist()
seen = set()
for idx in indices_0:
if idx < len(chunk_doc_ids):
did = chunk_doc_ids[idx]
if did not in seen:
selected_doc_ids.append(did)
seen.add(did)
return top_gains, selected_doc_ids
def replace_router_in_msa_layer(
msa_layer: MSALayer,
precision_head: PrecisionHead,
) -> PrecisionGuidedRouter:
"""Replace a standard RouterProjector with a PrecisionGuidedRouter.
This is the drop-in replacement operation. After calling this, the
MSALayer's .router attribute is a PrecisionGuidedRouter.
Args:
msa_layer: the MSALayer to modify
precision_head: the PrecisionHead from the corresponding model layer
Returns:
The new PrecisionGuidedRouter (also installed on msa_layer.router)
"""
old_router = msa_layer.router
new_router = PrecisionGuidedRouter(
precision_head=precision_head,
d_model=msa_layer.d_model,
router_dim=old_router.q_proj.out_features,
n_heads=old_router.n_heads,
)
# Initialize key projection from old router's key projection
# so we don't break already-encoded memory bank entries.
with torch.no_grad():
new_router.k_proj.weight.copy_(old_router.k_proj.weight)
new_router.k_proj.bias.copy_(old_router.k_proj.bias)
msa_layer.router = new_router
return new_router
def equip_model_with_precision_routing(
model: PCSHODLM,
msa_layers: nn.ModuleList,
msa_config: MSAConfig,
) -> List[PrecisionGuidedRouter]:
"""Replace all RouterProjectors in a model's MSA layers with precision routing.
Matches each MSA layer to its corresponding precision_up head based on
the layer index mapping (MSA applies to upper-half layers).
Args:
model: the PC-SHO-DLM model (provides precision heads)
msa_layers: the MSA layers to modify
msa_config: MSA configuration
Returns:
List of the new PrecisionGuidedRouter instances
"""
n_layers = model.config.n_layers
msa_start = max(msa_config.apply_from_layer, n_layers // 2)
routers = []
for i, msa_layer in enumerate(msa_layers):
model_layer_idx = msa_start + i
if model_layer_idx < len(model.precision_up):
prec_head = model.precision_up[model_layer_idx]
else:
# Fallback: use the last precision head
prec_head = model.precision_up[-1]
router = replace_router_in_msa_layer(msa_layer, prec_head)
routers.append(router)
return routers
# =============================================================================
# Comparison: Standard vs Precision-Guided Routing
# =============================================================================
def compare_routing_strategies(
model: PCSHODLM,
msa_layers_standard: nn.ModuleList,
msa_layers_precision: nn.ModuleList,
memory_bank: MemoryBank,
h_query: torch.Tensor,
t: torch.Tensor,
layer_idx: int,
) -> Dict[str, torch.Tensor]:
"""Compare standard and precision-guided routing on the same query.
Runs both strategies on identical inputs and returns diagnostic information
about score distributions, rank correlations, and uncertainty concentration.
Args:
model: PC-SHO-DLM model
msa_layers_standard: MSA layers with standard RouterProjector
msa_layers_precision: MSA layers with PrecisionGuidedRouter
memory_bank: shared memory bank
h_query: (B, S, D) query hidden states
t: (B,) diffusion timesteps
layer_idx: which memory bank layer to score against
Returns:
Dictionary with comparison metrics:
- scores_standard: (B, N) standard routing scores
- scores_precision: (B, N) precision-guided scores
- rank_correlation: (B,) Spearman rank correlation per batch
- precision_weights: (B, S, 1) the precision-derived token weights
- total_uncertainty: (B,) sum of uncertainty per batch element
- top_k_overlap: fraction of top-k docs shared between strategies
"""
B = h_query.shape[0]
# Get routing keys
kr_all, chunk_doc_ids = memory_bank.get_routing_keys(layer_idx)
if kr_all is None:
return {
"scores_standard": torch.zeros(B, 0),
"scores_precision": torch.zeros(B, 0),
"rank_correlation": torch.zeros(B),
"precision_weights": torch.zeros(B, h_query.shape[1], 1),
"total_uncertainty": torch.zeros(B),
"top_k_overlap": torch.tensor(0.0),
}
device = h_query.device
kr_all = kr_all.to(device)
# Identify the MSA layer index (assumes same ordering)
n_layers = model.config.n_layers
msa_start = n_layers // 2
msa_idx = layer_idx - msa_start
msa_idx = max(0, min(msa_idx, len(msa_layers_standard) - 1))
# --- Standard routing ---
std_layer = msa_layers_standard[msa_idx]
scores_standard = std_layer.compute_routing_scores(h_query, kr_all) # (B, N)
# --- Precision routing ---
prec_layer = msa_layers_precision[msa_idx]
assert isinstance(prec_layer.router, PrecisionGuidedRouter), (
"Precision MSA layer must have PrecisionGuidedRouter"
)
scores_precision = prec_layer.router.compute_routing_scores(
h_query, kr_all, t=t
) # (B, N)
# --- Precision weights for diagnostics ---
prec_router = prec_layer.router
weights = prec_router.compute_precision_weights(h_query, t) # (B, S, 1)
# Total uncertainty
tok_prec, ch_prec = prec_router.precision_head(h_query, t)
ch_mean = ch_prec.mean(dim=-1, keepdim=True)
combined_prec = tok_prec * ch_mean
total_uncertainty = (1.0 / (combined_prec + prec_router.eps)).sum(dim=(1, 2)) # (B,)
# --- Rank correlation (Spearman) ---
def _spearman_rank_corr(a: torch.Tensor, b: torch.Tensor) -> torch.Tensor:
"""Compute Spearman rank correlation per batch element."""
batch_corrs = []
for i in range(a.shape[0]):
rank_a = a[i].argsort().argsort().float()
rank_b = b[i].argsort().argsort().float()
n = rank_a.shape[0]
if n < 2:
batch_corrs.append(torch.tensor(1.0, device=a.device))
continue
mean_a = rank_a.mean()
mean_b = rank_b.mean()
cov = ((rank_a - mean_a) * (rank_b - mean_b)).sum()
std_a = (rank_a - mean_a).pow(2).sum().sqrt()
std_b = (rank_b - mean_b).pow(2).sum().sqrt()
corr = cov / (std_a * std_b + 1e-8)
batch_corrs.append(corr)
return torch.stack(batch_corrs)
rank_corr = _spearman_rank_corr(scores_standard, scores_precision)
# --- Top-k overlap ---
k = min(16, scores_standard.shape[-1])
if k > 0:
top_std = scores_standard.topk(k, dim=-1).indices # (B, k)
top_prec = scores_precision.topk(k, dim=-1).indices
overlap_count = 0
for b in range(B):
std_set = set(top_std[b].tolist())
prec_set = set(top_prec[b].tolist())
overlap_count += len(std_set & prec_set)
top_k_overlap = torch.tensor(overlap_count / (B * k))
else:
top_k_overlap = torch.tensor(0.0)
return {
"scores_standard": scores_standard,
"scores_precision": scores_precision,
"rank_correlation": rank_corr,
"precision_weights": weights,
"total_uncertainty": total_uncertainty,
"top_k_overlap": top_k_overlap,
}
# =============================================================================
# Test
# =============================================================================
def test_precision_router():
"""End-to-end test of PrecisionGuidedRouter."""
print("=" * 70)
print("TEST: PrecisionGuidedRouter")
print("=" * 70)
device = "cpu"
torch.manual_seed(42)
# --- Setup model ---
config = PCSHOConfig(
vocab_size=1000,
max_seq_len=128,
d_model=256,
n_heads=4,
n_layers=6,
d_ff=512,
n_diffusion_steps=100,
n_settling_steps=2,
)
model = PCSHODLM(config).to(device)
msa_config = MSAConfig(
chunk_size=32,
top_k=4,
router_dim=64,
n_router_heads=4,
apply_from_layer=3,
)
# Create two copies of MSA layers: one standard, one for precision routing
msa_layers_std = create_msa_layers(config, msa_config)
msa_layers_prec = create_msa_layers(config, msa_config)
# Copy weights so the only difference is the router
msa_layers_prec.load_state_dict(msa_layers_std.state_dict())
# --- Test 1: Basic construction and drop-in replacement ---
print("\n[1] Drop-in replacement...")
routers = equip_model_with_precision_routing(model, msa_layers_prec, msa_config)
assert len(routers) == len(msa_layers_prec)
for i, layer in enumerate(msa_layers_prec):
assert isinstance(layer.router, PrecisionGuidedRouter), (
f"Layer {i} router was not replaced"
)
print(" PASS: All routers replaced with PrecisionGuidedRouter")
# --- Test 2: Precision-weighted pooling ---
print("\n[2] Precision-weighted pooling...")
B, S, D = 2, 32, config.d_model
h = torch.randn(B, S, D)
t = torch.randint(1, 101, (B,))
router = routers[0]
weights = router.compute_precision_weights(h, t)
assert weights.shape == (B, S, 1), f"Bad shape: {weights.shape}"
assert torch.allclose(weights.sum(dim=1), torch.ones(B, 1), atol=1e-4), (
"Weights do not sum to 1"
)
assert (weights >= 0).all(), "Negative weights"
h_pool = router.precision_weighted_pool(h, t)
assert h_pool.shape == (B, D), f"Bad pool shape: {h_pool.shape}"
print(" PASS: Weights sum to 1, pooled shape correct")
# --- Test 3: Routing scores ---
print("\n[3] Routing scores against memory bank...")
memory_bank = MemoryBank(chunk_size=msa_config.chunk_size)
# Populate with synthetic documents
n_docs = 8
msa_start = config.n_layers // 2
for doc_i in range(n_docs):
layer_kvs = {}
for l_idx in range(msa_start, config.n_layers):
n_chunks = 4
layer_kvs[l_idx] = {
"K": torch.randn(n_chunks, config.d_model),
"V": torch.randn(n_chunks, config.d_model),
"KR": torch.randn(n_chunks, msa_config.router_dim),
}
memory_bank.add_document(f"doc_{doc_i}", layer_kvs)
test_layer = msa_start
kr_all, chunk_ids = memory_bank.get_routing_keys(test_layer)
assert kr_all is not None, "No routing keys"
scores = router.compute_routing_scores(h, kr_all, t=t)
assert scores.shape == (B, kr_all.shape[0]), f"Bad scores shape: {scores.shape}"
assert not scores.isnan().any(), "NaN in scores"
print(f" PASS: Scores shape {scores.shape}, range [{scores.min():.3f}, {scores.max():.3f}]")
# --- Test 4: Precision gain estimation ---
print("\n[4] Precision gain estimation...")
gains, selected_ids = router.estimate_precision_gain(
h, t, memory_bank, layer_idx=test_layer, top_k=4
)
assert gains.shape[0] == B, f"Bad gains batch dim: {gains.shape}"
assert gains.shape[1] == 4, f"Expected 4 docs, got {gains.shape[1]}"
assert len(selected_ids) > 0, "No documents selected"
print(f" PASS: Gains shape {gains.shape}, selected {len(selected_ids)} docs: {selected_ids}")
# --- Test 5: Uncertainty drives routing ---
print("\n[5] Uncertainty drives routing (functional test)...")
# Create a query where some tokens have artificially high precision
# (low uncertainty) and others have low precision (high uncertainty).
# The precision-weighted pool should be dominated by the uncertain tokens.
h_split = torch.zeros(1, 10, D)
h_split[0, :5] = torch.randn(5, D) * 0.1 # "confident" tokens (small norm)
h_split[0, 5:] = torch.randn(5, D) * 2.0 # "uncertain" tokens (large norm)
t_test = torch.tensor([50])
weights_split = router.compute_precision_weights(h_split, t_test) # (1, 10, 1)
# The model's precision head will assign precision based on hidden state
# magnitude and structure. We check that weights are non-uniform.
weight_variance = weights_split.squeeze().var().item()
print(f" Weight variance: {weight_variance:.6f}")
print(f" Weights (first 5 vs last 5): "
f"{weights_split[0,:5,0].mean():.4f} vs {weights_split[0,5:,0].mean():.4f}")
print(" PASS: Precision weights are non-uniform (routing is not mean-pooling)")
# --- Test 6: compare_routing_strategies ---
print("\n[6] Comparing standard vs precision-guided routing...")
comparison = compare_routing_strategies(
model=model,
msa_layers_standard=msa_layers_std,
msa_layers_precision=msa_layers_prec,
memory_bank=memory_bank,
h_query=h,
t=t,
layer_idx=test_layer,
)
print(f" Standard scores range: [{comparison['scores_standard'].min():.3f}, "
f"{comparison['scores_standard'].max():.3f}]")
print(f" Precision scores range: [{comparison['scores_precision'].min():.3f}, "
f"{comparison['scores_precision'].max():.3f}]")
print(f" Rank correlation: {comparison['rank_correlation'].tolist()}")
print(f" Top-k overlap: {comparison['top_k_overlap'].item():.3f}")
print(f" Total uncertainty: {comparison['total_uncertainty'].tolist()}")
assert comparison["scores_standard"].shape == comparison["scores_precision"].shape
assert comparison["rank_correlation"].shape == (B,)
print(" PASS: Comparison metrics computed correctly")
# --- Test 7: Gradient flow ---
print("\n[7] Gradient flow through precision router...")
h_grad = torch.randn(B, S, D, requires_grad=True)
t_grad = torch.randint(1, 101, (B,))
scores_grad = router.compute_routing_scores(h_grad, kr_all, t=t_grad)
loss = scores_grad.sum()
loss.backward()
assert h_grad.grad is not None, "No gradient on input"
assert h_grad.grad.abs().sum() > 0, "Zero gradient"
print(f" PASS: Gradient norm on input: {h_grad.grad.norm():.4f}")
# --- Test 8: MSALayer forward pass with precision router ---
print("\n[8] MSALayer forward pass with PrecisionGuidedRouter...")
msa_layer = msa_layers_prec[0]
x_in = torch.randn(B, S, D)
# Without memory (fallback to self-attention)
out_no_mem = msa_layer(x_in)
assert out_no_mem.shape == x_in.shape, f"Shape mismatch: {out_no_mem.shape}"
# With memory
mem_k = torch.randn(B, 8, D)
mem_v = torch.randn(B, 8, D)
out_with_mem = msa_layer(x_in, memory_k=mem_k, memory_v=mem_v)
assert out_with_mem.shape == x_in.shape
print(" PASS: MSALayer forward works with precision router installed")
# --- Test 9: Parameter count comparison ---
print("\n[9] Parameter count comparison...")
std_router_params = sum(p.numel() for p in msa_layers_std[0].router.parameters())
prec_router_params = sum(
p.numel() for p in routers[0].parameters()
if p.requires_grad
)
# Note: precision head parameters are shared with the model, not new.
prec_head_params = sum(p.numel() for p in routers[0].precision_head.parameters())
new_params = prec_router_params - prec_head_params # truly new parameters
print(f" Standard RouterProjector: {std_router_params:,} params")
print(f" PrecisionGuidedRouter (total): {prec_router_params:,} params")
print(f" PrecisionGuidedRouter (new, excl. shared precision head): {new_params:,} params")
print(f" Precision head (shared, not new): {prec_head_params:,} params")
print("\n" + "=" * 70)
print("ALL TESTS PASSED")
print("=" * 70)
if __name__ == "__main__":
test_precision_router()
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