TDA-Based Legacy Modernization

February 15, 2026 · 1 min read
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An architectural intelligence engine that utilizes Topological Data Analysis (TDA) to map and disentangle massive legacy monoliths.

Core Methodology

This tool addresses the complexity of a 2GB legacy monolithic codebase by treating code dependencies as a high-dimensional point cloud. By applying Graph Theory and TDA, the engine identifies critical modularization boundaries and hidden bottlenecks that traditional static analysis tools miss.

Impact & Performance

  • Migration Velocity: Achieved a 10x increase in migration speed through automated boundary detection.
  • Architectural Mapping: Developed a TDA-based engine to visualize complex code dependencies across thousands of files.
  • Stack: Python, .NET (Roslyn API), and advanced Graph Theory algorithms.
Agustin Arias, MSc
Authors
AI Architect & Applied Mathematician
I bridge the gap between high-level mathematics and autonomous reasoning. I engineer verifiable AI systems that optimize token budgets and eliminate reasoning fragility, allowing companies to scale agentic fleets without unsupervised errors. Architectural Sovereignty is not a buzzword—it is the discipline of building AI that reasons, not hallucinates.