# Normalization and Scaling — Guardrails and Fix Pattern
🧭 Quick Return to Map
> You are in a sub-page of **RAG_VectorDB**. > To reorient, go back here: > > - [**RAG_VectorDB** — vector databases for retrieval and grounding](./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.
Use this page when **vector similarity is unstable because embeddings are not normalized or scaling factors differ** between training and retrieval. This failure often appears when cosine distance is requested but vectors are stored raw, or when IP/dot metrics exaggerate magnitude. --- ## Open these first - Visual map and recovery: [RAG Architecture & Recovery](https://github.com/onestardao/WFGY/blob/main/ProblemMap/rag-architecture-and-recovery.md) - Embedding vs meaning: [embedding-vs-semantic.md](https://github.com/onestardao/WFGY/blob/main/ProblemMap/embedding-vs-semantic.md) - Metric mismatch: [metric_mismatch.md](https://github.com/onestardao/WFGY/blob/main/ProblemMap/GlobalFixMap/RAG_VectorDB/metric_mismatch.md) - Chunking checklist: [chunking-checklist.md](https://github.com/onestardao/WFGY/blob/main/ProblemMap/chunking-checklist.md) --- ## Core acceptance - Vectors are L2-normalized when using cosine similarity. - ΔS(question, retrieved) ≤ 0.45, stable across three paraphrases. - Coverage ≥ 0.70 on the target section. - λ remains convergent across seeds. --- ## Typical breakpoints and the right fix - **Cosine similarity reported but vectors not normalized** → [metric_mismatch.md](https://github.com/onestardao/WFGY/blob/main/ProblemMap/GlobalFixMap/RAG_VectorDB/metric_mismatch.md) - **Dot product used without rescaling** (large norm vectors dominate retrieval) → Normalize or rescale embeddings before indexing. - **Cross-model mixing** (embeddings from different checkpoints with different norms) → Re-normalize the corpus and queries to unit length. - **Hybrid dense + sparse weighting unstable** (scale mismatch between BM25 scores and vector norms) → Apply explicit min-max or z-score scaling before weighted sum. --- ## Fix in 60 seconds 1. **Check norms** Sample 100 embeddings. Compute mean L2 norm. If not ~1.0 under cosine, normalization missing. 2. **Normalize queries** Ensure `query_vector = vector / ||vector||` before retrieval when using cosine. 3. **Corpus re-index** Drop and rebuild index with normalized vectors if store does not enforce it. 4. **Hybrid scaling** Normalize dense similarity scores into the same 0–1 range as BM25 before combining. --- ## Copy-paste probe ```python import numpy as np def check_norms(vectors): norms = np.linalg.norm(vectors, axis=1) return norms.mean(), norms.std() mean_norm, std_norm = check_norms(sample_vectors) print("Mean norm:", mean_norm, "Std:", std_norm) ```` Target: mean ≈ 1.0, std ≤ 0.05 for cosine retrieval. --- ### 🔗 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) | 1️⃣ Download · 2️⃣ Upload to your LLM · 3️⃣ Ask “Answer using WFGY + \” | | **TXT OS (plain-text OS)** | [TXTOS.txt](https://github.com/onestardao/WFGY/blob/main/OS/TXTOS.txt) | 1️⃣ Download · 2️⃣ Paste into any LLM chat · 3️⃣ Type “hello world” — OS boots instantly | --- ### Explore More | Layer | Page | What it’s for | | --- | --- | --- | | ⭐ Proof | [WFGY Recognition Map](/recognition/README.md) | External citations, integrations, and ecosystem proof | | ⚙️ Engine | [WFGY 1.0](/legacy/README.md) | Original PDF tension engine and early logic sketch (legacy reference) | | ⚙️ Engine | [WFGY 2.0](/core/README.md) | Production tension kernel for RAG and agent systems | | ⚙️ 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 taxonomy and fix map | | 🗺️ Map | [Problem Map 2.0](/ProblemMap/wfgy-rag-16-problem-map-global-debug-card.md) | Global Debug Card for RAG and agent pipeline diagnosis | | 🗺️ Map | [Problem Map 3.0](/ProblemMap/wfgy-ai-problem-map-troubleshooting-atlas.md) | Global AI troubleshooting atlas and failure pattern map | | 🧰 App | [TXT OS](/OS/README.md) | .txt semantic OS with fast bootstrap | | 🧰 App | [Blah Blah Blah](/OS/BlahBlahBlah/README.md) | Abstract and paradox Q&A built on TXT OS | | 🧰 App | [Blur Blur Blur](/OS/BlurBlurBlur/README.md) | Text to image generation with semantic control | | 🏡 Onboarding | [Starter Village](/StarterVillage/README.md) | Guided entry point for new users | 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)