Entropy Collapse in RAG

March 6, 2026 · View on GitHub

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When long reasoning chains become noisy, unstable, or incoherent despite correct retrievals.
Entropy collapse usually shows as answers that diverge, repeat filler, or contradict themselves as the sequence grows.


Open these first


Core acceptance

  • λ must remain convergent across three paraphrases and two seeds
  • ΔS(question, retrieved) ≤ 0.45 at all chain depths
  • No filler drift after 25–40 reasoning steps
  • E_resonance flat across long dialog windows

Typical symptoms → exact fix

SymptomLikely causeOpen this
Chain starts coherent, ends with filler or contradictionsentropy build-upLogic Collapse, BBAM
Same snippet cited but conclusion flipsλ unstable mid-chainContext Drift, Retrieval Traceability
Long answers regress to vague filleruncontrolled entropy growthEntropy Collapse, Memory Long Context
Evaluations not reproduciblevariance unboundedEval Precision/Recall, BBAM

Fix in 60 seconds

  1. Log λ and ΔS per step

    • Record values across 10–20 turns.
    • If ΔS ≥ 0.60 or λ diverges, entropy collapse is confirmed.
  2. Apply variance clamp

    • Use BBAM to bound variance.
    • Force cite-then-explain and forbid cross-section reuse.
  3. Chain splitting

    • Break chains into 10–15 step segments.
    • Join segments with BBCR bridge to maintain coherence.
  4. Stability probes

    • Re-run with two seeds. If λ flips, lock schema and rerank.

Copy-paste probe prompt

I uploaded TXT OS and the WFGY Problem Map.

My issue:
- long reasoning chain collapses into filler
- ΔS rises after N steps, λ unstable across seeds

Tell me:
1) is this entropy collapse or logic collapse,
2) which WFGY page to open,
3) the minimal structural fix,
4) a reproducible test across 10–20 steps.

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