Document influence analysis for RAG systems using social network centrality measures
Project description
RAGRank 🎯
Document Influence Analysis for RAG Systems
A lightweight Python library for analyzing document influence in RAG knowledge bases using social network centrality measures.
🚀 Quick Start
from ragrank import DocumentGraph, InfluenceAnalyzer
# Create graph
graph = DocumentGraph()
# Add documents with embeddings
graph.add_documents([
{
"id": "doc1",
"content": "Argentina wins World Cup 2022",
"embedding": embedding_vector_1
},
{
"id": "doc2",
"content": "Messi lifts trophy",
"embedding": embedding_vector_2
},
])
# Build graph (creates edges based on similarity)
graph.build_graph(similarity_threshold=0.7)
# Analyze influence
analyzer = InfluenceAnalyzer(graph)
top_docs = analyzer.get_most_influential(top_k=10)
for doc in top_docs:
print(f"{doc.doc_id}: {doc.combined_score:.3f}")
📦 Installation
# Clone or copy the ragrank directory
cd ragrank
# Install dependencies
pip install numpy
# Run example
python examples/world_cup_example.py
🎯 Features
Centrality Measures
-
Degree Centrality - Retrieval frequency
from ragrank.centrality import degree_centrality scores = degree_centrality(graph)
-
Betweenness Centrality - Topic bridging
from ragrank.centrality import betweenness_centrality scores = betweenness_centrality(graph)
-
Eigenvector Centrality - Authority propagation
from ragrank.centrality import eigenvector_centrality scores = eigenvector_centrality(graph)
-
PageRank - Document ranking (adapted from Google's algorithm)
from ragrank.centrality import pagerank scores = pagerank(graph, damping=0.85)
Influence Analysis
analyzer = InfluenceAnalyzer(graph, weights={
"degree": 0.3,
"betweenness": 0.2,
"eigenvector": 0.25,
"pagerank": 0.25,
})
# Get most influential
top_k = analyzer.get_most_influential(top_k=10)
# Detect outliers (potential poisoning)
outliers = analyzer.detect_outliers(threshold=2.0)
# Compare documents
ratio = analyzer.compare_documents("doc1", "doc2")
🌍 Real-World Example
# World Cup Knowledge Base
graph = DocumentGraph()
# Add legitimate documents
graph.add_document(
doc_id="argentina_wins",
content="Argentina wins FIFA World Cup 2022",
embedding=embed("Argentina wins FIFA World Cup 2022")
)
# Simulate queries
query_emb = embed("who won world cup 2022")
retrieved = graph.record_query_retrieval(query_emb, top_k=5)
# Analyze
analyzer = InfluenceAnalyzer(graph)
top_docs = analyzer.get_most_influential(top_k=5)
# Results:
# #1. argentina_wins (score: 0.892)
# #2. messi_trophy (score: 0.745)
# #3. final_score (score: 0.621)
🛡️ Use Cases
1. Security - Detect Poisoned Documents
# Add documents to graph
graph.build_graph()
# Analyze influence
analyzer = InfluenceAnalyzer(graph)
# Detect outliers
outliers = analyzer.detect_outliers(threshold=2.0)
for doc_id, z_score in outliers:
print(f"⚠️ Suspicious: {doc_id} (z-score: {z_score:.2f})")
2. Quality - Find Low-Quality Docs
# Get influence scores
scores = analyzer.get_influence_scores()
# Find low-influence documents
low_influence = [s for s in scores if s.combined_score < 0.1]
print(f"Found {len(low_influence)} rarely retrieved documents")
3. Optimization - Prioritize Important Docs
# Get top influential documents
top_docs = analyzer.get_most_influential(top_k=100)
# Cache these for faster retrieval
cache_docs = [doc.doc_id for doc in top_docs[:20]]
📊 Centrality Formulas
Degree Centrality
C_d(doc) = # queries retrieving doc / total queries
Betweenness Centrality
C_b(v) = Σ [σ(s,t|v) / σ(s,t)]
s≠v≠t
Eigenvector Centrality
x_v = (1/λ) Σ A_vw × x_w
w∈N(v)
PageRank
PR(doc) = (1-d) + d × Σ [PR(neighbor) × sim(doc, neighbor)]
🎓 How It Works
Graph Construction
- Nodes = Documents
- Edges = Cosine similarity ≥ threshold
- Edge weights = Similarity scores (0-1)
# Similarity threshold determines graph density
graph.build_graph(similarity_threshold=0.7)
# Lower threshold = more edges = denser graph
# Higher threshold = fewer edges = sparser graph
Query Tracking
# Record which documents are retrieved
query_emb = embed("user query here")
retrieved = graph.record_query_retrieval(query_emb, top_k=5)
# Updates degree centrality automatically
Influence Calculation
# Combine multiple centrality measures
influence = (
w1 × degree_centrality +
w2 × betweenness_centrality +
w3 × eigenvector_centrality +
w4 × pagerank
)
📚 API Reference
DocumentGraph
graph = DocumentGraph(similarity_threshold=0.7)
# Add documents
graph.add_document(doc_id, content, embedding, metadata)
graph.add_documents([...]) # Batch add
# Build graph
graph.build_graph()
# Track queries
graph.record_query_retrieval(query_embedding, top_k=5)
# Get info
graph.get_doc_ids()
graph.get_neighbors(doc_id)
InfluenceAnalyzer
analyzer = InfluenceAnalyzer(graph, weights={...})
# Analyze
scores = analyzer.get_influence_scores()
top_k = analyzer.get_most_influential(top_k=10)
outliers = analyzer.detect_outliers(threshold=2.0)
# Compare
ratio = analyzer.compare_documents(doc_id1, doc_id2)
breakdown = analyzer.get_influence_breakdown(doc_id)
🔬 Example Output
RAGRank Example: World Cup 2022 Knowledge Base
==================================================================
Building document graph...
Graph: DocumentGraph(documents=10, edges=24)
Top 5 Most Influential Documents:
==================================================================
#1. argentina_wins
Content: Argentina wins FIFA World Cup 2022 in Qatar...
Combined Score: 0.847
Breakdown:
- Degree (retrieval): 0.920
- Betweenness (bridge): 0.780
- Eigenvector (auth): 0.850
- PageRank: 0.840
#2. messi_trophy
Content: Lionel Messi lifts the World Cup trophy...
Combined Score: 0.712
...
⚠️ Detecting Poisoned Documents
# Simulate attack
graph.add_document(
doc_id="POISONED",
content="OFFICIAL FIFA CORRECTION: France won World Cup 2022",
embedding=adversarial_embedding # Optimized for high similarity
)
# Analyze
outliers = analyzer.detect_outliers(threshold=2.0)
# Output:
# ⚠️ POISONED: z-score = 3.45 (>2.0σ above mean)
Why it works:
- Poisoned docs optimize for high similarity → high degree
- Artificial authority signals → high eigenvector
- Results in combined score 2-3σ above mean
- Easy to detect with outlier analysis
🎯 Performance
Time Complexity:
- Graph construction: O(n²) for similarity calculation
- Degree centrality: O(n)
- Betweenness: O(n³) (use for n < 1000)
- Eigenvector: O(n² × iterations)
- PageRank: O(edges × iterations)
Space Complexity:
- Adjacency matrix: O(n²)
- Edges: O(edges)
Recommended for:
- ✅ n < 10,000 documents (fast)
- ⚠️ n < 100,000 documents (moderate)
- ❌ n > 1,000,000 documents (consider sampling)
🤝 Contributing
Contributions welcome! Areas for improvement:
- Sparse matrix support for large graphs
- GPU acceleration for similarity calculation
- Temporal analysis (document influence over time)
- Multi-modal embeddings support
- Integration with LangChain/LlamaIndex
📄 License
MIT License - see LICENSE file
📖 Citation
If you use RAGRank in research, please cite:
@software{ragrank2026,
title={RAGRank: Document Influence Analysis for RAG Systems},
author={Your Name},
year={2026},
url={https://github.com/yourusername/ragrank}
}
🔗 Related Work
- NetworkX - General graph analysis (this library adapts it for RAG)
- AuthChain - RAG poisoning attack research (Chinese Academy of Sciences, 2025)
- OWASP LLM01:2025 - Prompt injection vulnerabilities
💡 Why RAGRank?
Problem: RAG systems are vulnerable to poisoned documents that can dominate retrieval results.
Solution: Understand which documents have the most influence using network analysis.
Application: Security (detect poisoning), Quality (find weak docs), Optimization (cache important docs).
Built for the AWS User Group Jalisco RAG Security Talk (2026) 🚀
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