WFGY/ProblemMap/GlobalFixMap/Eval_Observability/lambda_observe.md

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# Eval Observability — λ_observe
<details>
<summary><strong>🧭 Quick Return to Map</strong></summary>
<br>
> You are in a sub-page of **Eval_Observability**.
> To reorient, go back here:
>
> - [**Eval_Observability** — evaluation metrics and system observability](./README.md)
> - [**WFGY Global Fix Map** — main Emergency Room, 300+ structured fixes](../README.md)
> - [**WFGY Problem Map 1.0** — 16 reproducible failure modes](../../README.md)
>
> Think of this page as a desk within a ward.
> If you need the full triage and all prescriptions, return to the Emergency Room lobby.
</details>
> **Evaluation disclaimer (λ_observe)**
> λ_observe is a heuristic stability signal defined inside the WFGY framework.
> It helps you notice drift and volatility but is not a formal guarantee of long term robustness.
---
A core probe for evaluating **semantic convergence** across multiple seeds, paraphrases, and retrieval variations.
While ΔS measures semantic distance, **λ_observe** captures **stability vs divergence of reasoning paths**.
---
## Why λ_observe matters
- **Detect fragile reasoning**: Even when ΔS looks safe, λ divergence indicates unstable chains.
- **Identify paraphrase sensitivity**: If λ flips across harmless rewordings, the system is brittle.
- **Audit retrieval randomness**: Different seeds producing opposite λ signals reveal weak schema.
- **Ensure eval reproducibility**: Stable λ means tests repeat reliably under small perturbations.
---
## λ state encoding
| Symbol | Meaning | Example failure |
|--------|---------|-----------------|
| **→** | Forward convergence, stable path | Same citations and reasoning across paraphrases |
| **←** | Backward collapse, early abort | Tool call retries, empty citations |
| **<>** | Split state, partial divergence | One paraphrase cites correct snippet, others miss |
| **×** | Total collapse | Random answers, no citation alignment |
---
## Acceptance targets
- **Convergence rate ≥ 0.80** across 3 paraphrases × 2 seeds.
- **No × states** tolerated in gold-set eval.
- **Split states (<>): ≤ 10%** of test cases acceptable.
- **Forward (→)** must dominate stable runs.
---
## Evaluation workflow
1. **Run triple paraphrase probe**
Ask the same question three ways. Collect λ states.
2. **Repeat with two seeds**
Track variance.
3. **Roll-up stats**
Compute convergence ratio, collapse frequency, divergence rate.
4. **Escalation**
If λ <0.80 or × >0%, run root-cause: schema audit, retriever split, prompt ordering.
---
## Example probe schema
```json
{
"query_id": "Q42",
"runs": [
{"paraphrase": 1, "seed": 123, "λ": "→"},
{"paraphrase": 2, "seed": 123, "λ": "→"},
{"paraphrase": 3, "seed": 123, "λ": "<>"},
{"paraphrase": 1, "seed": 456, "λ": "→"},
{"paraphrase": 2, "seed": 456, "λ": "×"},
{"paraphrase": 3, "seed": 456, "λ": "→"}
]
}
````
---
## Common pitfalls
* **Only measuring ΔS** → misses hidden divergence.
* **Seed-fixed eval** → looks stable but fragile in production.
* **Ignoring split states** → small divergence often grows into collapse.
* **No per-query logs** → averages hide catastrophic single failures.
---
## Reporting recommendations
* **λ distribution table**: % of →, ←, <>, ×.
* **Convergence trend**: chart over time by eval batch.
* **Drift alerts**: trigger if convergence <0.80 or × appears.
* **Correlation**: track ΔS vs λ to spot mixed failures.
---
### 🔗 Quick-Start Downloads (60 sec)
| Tool | Link | 3-Step Setup |
| -------------------------- | ------------------------------------------------------------------------------------------------------------------------------------------ | ---------------------------------------------------------------------------------------- |
| **WFGY 1.0 PDF** | [Engine Paper](https://github.com/onestardao/WFGY/blob/main/I_am_not_lizardman/WFGY_All_Principles_Return_to_One_v1.0_PSBigBig_Public.pdf) | 1 Download · 2 Upload to your LLM · 3 Ask Answer using WFGY + \<your question>” |
| **TXT OS (plain-text OS)** | [TXTOS.txt](https://github.com/onestardao/WFGY/blob/main/OS/TXTOS.txt) | 1⃣ Download · 2⃣ Paste into any LLM chat · 3⃣ Type “hello world” — OS boots instantly |
---
<!-- WFGY_FOOTER_START -->
### Explore More
| Layer | Page | What its for |
| --- | --- | --- |
| Proof | [WFGY Recognition Map](/recognition/README.md) | External citations, integrations, and ecosystem proof |
| Engine | [WFGY 1.0](/legacy/README.md) | Original PDF based tension engine |
| Engine | [WFGY 2.0](/core/README.md) | Production tension kernel and math engine for RAG and agents |
| Engine | [WFGY 3.0](/TensionUniverse/EventHorizon/README.md) | TXT based Singularity tension engine, 131 S class set |
| Map | [Problem Map 1.0](/ProblemMap/README.md) | Flagship 16 problem RAG failure checklist and fix map |
| Map | [Problem Map 2.0](/ProblemMap/rag-architecture-and-recovery.md) | RAG focused recovery pipeline |
| Map | [Problem Map 3.0](/ProblemMap/wfgy-rag-16-problem-map-global-debug-card.md) | Global Debug Card, image as a debug protocol layer |
| Map | [Semantic Clinic](/ProblemMap/SemanticClinicIndex.md) | Symptom to family to exact fix |
| Map | [Grandmas Clinic](/ProblemMap/GrandmaClinic/README.md) | Plain language stories mapped to Problem Map 1.0 |
| Onboarding | [Starter Village](/StarterVillage/README.md) | Guided tour for newcomers |
| App | [TXT OS](/OS/README.md) | TXT semantic OS, fast boot |
| App | [Blah Blah Blah](/OS/BlahBlahBlah/README.md) | Abstract and paradox Q and A built on TXT OS |
| App | [Blur Blur Blur](/OS/BlurBlurBlur/README.md) | Text to image with semantic control |
| App | [Blow Blow Blow](/OS/BlowBlowBlow/README.md) | Reasoning game engine and memory demo |
If this repository helped, starring it improves discovery so more builders can find the docs and tools.
[![GitHub Repo stars](https://img.shields.io/github/stars/onestardao/WFGY?style=social)](https://github.com/onestardao/WFGY)
<!-- WFGY_FOOTER_END -->