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Technical Documentation

Complete reference for the Geometric Flow Cathedral optimization pipeline, including API specifications, configuration guides, and implementation details.

01 Overview

The Geometric Flow Cathedral implements a novel approach to traffic optimization by integrating geometric constraints into machine learning pipelines. The system leverages:

  • √14 Ratchet Decay: A decay factor derived from the square root of 14, applied to prevent overfitting and ensure smooth convergence.
  • 24-Fold Geometric Filtering: Temporal filtering based on prime spoke hours (1, 5, 7, 11, 13, 17, 19, 23) to capture cyclical traffic patterns.
  • 19.1° Phase Correction: Standing wave phase offset at 46.875Hz for sensor data synchronization.

02 Installation

bash
# Clone the repository
git clone https://github.com/google/geometric-flow-cathedral.git
cd geometric-flow-cathedral

# Install dependencies
pip install -r requirements.txt

# Configure environment variables
cp .env.example .env

# Initialize the pipeline
python -m gfc init

03 Configuration

Parameter Type Default Description
RATchet_DECAY float 0.267 1 - 1/√14 decay factor
PHASE_OFFSET float 19.1 Phase correction in degrees
PRIME_SPOKES list [1,5,7,11,13,17,19,23] Active temporal filtering hours
CONSTRAINT_BLEND float 0.5 Geometric constraint weight (0-1)

04 API Reference

POST /api/v1/optimize

Stable

Submit traffic data for real-time geometric optimization.

{
  "sensor_data": {
    "flow_rate": 120.5,
    "timestamp": "2024-01-15T14:30:00Z",
    "location_id": "intersection_42"
  },
  "constraints": {
    "apply_ratchet": true,
    "phase_correction": 19.1
  }
}

05 Examples