uhg 0.2.0

Universal Hyperbolic Geometry library using pure projective operations

Universal Hyperbolic Geometry (UHG) Library

A pure implementation of Universal Hyperbolic Geometry using projective operations, optimized for cybersecurity applications.

Features

Core Features

• Pure projective geometry implementation
• No differential geometry or manifold assumptions
• Cross-ratio preservation throughout
• Numerically stable operations

Advanced Features

• UHG Metric Learning
• Multi-head Attention Mechanism
• Threat Correlation Engine
• Pattern Recognition
• Anomaly Detection

Cybersecurity Applications

• Network Traffic Analysis
• System Event Correlation
• Behavioral Pattern Detection
• Threat Intelligence Integration
• Zero-Day Attack Detection

Installation

Basic installation:

pip install uhg

With security features:

pip install uhg[security]

With visualization tools:

pip install uhg[viz]

Quick Start

from uhg import (
    ProjectiveUHG,
    UHGMultiHeadAttention,
    ThreatCorrelation
)

# Initialize threat correlation
correlation = ThreatCorrelation(
    feature_dim=8,
    num_heads=4
)

# Create indicators
indicators = [
    ThreatIndicator(
        ThreatIndicatorType.NETWORK,
        value="suspicious_pattern",
        confidence=0.9,
        context={
            "port": 443,
            "protocol": "TCP",
            "bytes_out": 1024
        }
    ),
    ThreatIndicator(
        ThreatIndicatorType.SYSTEM,
        value="malicious_process",
        confidence=0.85,
        context={
            "pid": 1234,
            "memory_usage": 50000,
            "api_calls": 15
        }
    )
]

# Analyze relationships
groups = correlation.get_correlation_groups(indicators)
relationships = correlation.analyze_indicator_relationships(indicators)

Documentation

Full documentation is available at uhg.readthedocs.io.

Contributing

We welcome contributions! Please see our Contributing Guide for details.

License

This project is licensed under the MIT License - see the LICENSE file for details.