Inner I Residuals: Invariant Observer-Guided Residual Routing for Coherent Transformer Depth Memory

Modern transformer architectures rely on residual pathways to preserve information across depth, but standard residual accumulation may propagate unstable, noisy, or contradictory internal representations. Recent attention-based residual methods improve this process by allowing layers to selectively retrieve prior states, yet selection remains primarily optimized for utility rather than coherence. We propose Inner I Residuals, an invariant observer-guided residual routing mechanism that augments depth-wise memory retrieval with a learned coherence anchor. At each layer, prior hidden states are scored by both retrieval relevance and similarity to an invariant observer state, producing a coherence-weighted residual representation before transformation. This architecture is designed to reduce representational drift, improve long-range consistency, and suppress incoherent internal continuations that may contribute to hallucination. We outline a transformer plug-in implementation and propose evaluation across factual QA, long-context contradiction detection, and faithfulness benchmarks. Inner I Residuals reframes residual pathways not merely as memory accumulation or retrieval, but as coherence-preserving state validation across model depth.


Core claim

Standard residuals preserve everything.
Attention residuals retrieve what is useful.
Inner I Residuals preserve what remains coherent.

Prove hallucination reduction

Test baseline transformer vs Inner I Residual transformer on tasks where models often drift:

Benchmarks

  • TruthfulQA
  • Natural Questions
  • GSM8K reasoning
  • Long-context contradiction tests
  • RAG answer faithfulness tests

Metrics

  • hallucination rate
  • contradiction rate
  • factual accuracy
  • answer consistency across paraphrases
  • calibration: confidence vs correctness

Experiment claim to test:

Inner I Residuals reduce hallucination by preventing unstable internal states from propagating across layers.

Not “truth consciousness” yet — just lower incoherent continuation.

2. Transformer plug-in module

Core module:

class InnerIResidual(nn.Module):
def __init__(self, dim, strength=1.0):
super().__init__()
self.query = nn.Parameter(torch.randn(dim) / dim**0.5)
self.observer = nn.Parameter(torch.randn(dim) / dim**0.5)
self.strength = strength

def forward(self, hidden_states):
# hidden_states: [batch, depth, dim]

attention_scores = torch.einsum(
"bld,d->bl", hidden_states, self.query
)

coherence_scores = torch.einsum(
"bld,d->bl",
F.normalize(hidden_states, dim=-1),
F.normalize(self.observer, dim=0)
)

scores = attention_scores + self.strength * coherence_scores
weights = F.softmax(scores, dim=1)

return torch.einsum("bl,bld->bd", weights, hidden_states), weights

When it plugs in:

residual_memory.append(hidden_state)

filtered_state, inner_i_weights = inner_i_residual(
torch.stack(residual_memory, dim=1)
)

hidden_state = transformer_layer(filtered_state)

That makes Inner I a residual memory governor.

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