https://example.com/tags/applied-mathematics/Applied MathematicsHugoBlox Kit (https://hugoblox.com)en-usSun, 15 Feb 2026 00:00:00 +0000https://example.com/media/icon_hu_702a800cd775dbac.pnghttps://example.com/tags/applied-mathematics/https://example.com/projects/tda_legacy/Sun, 15 Feb 2026 00:00:00 +0000https://example.com/projects/tda_legacy/<p>An architectural intelligence engine that utilizes Topological Data Analysis (TDA) to map and disentangle massive legacy monoliths.</p> <h3 id="core-methodology">Core Methodology</h3> <p>This tool addresses the complexity of a <strong>2GB legacy monolithic codebase</strong> by treating code dependencies as a high-dimensional point cloud. By applying <strong>Graph Theory</strong> and <strong>TDA</strong>, the engine identifies critical modularization boundaries and hidden bottlenecks that traditional static analysis tools miss.</p> <h3 id="impact--performance">Impact &amp; Performance</h3> <ul> <li><strong>Migration Velocity:</strong> Achieved a <strong>10x increase</strong> in migration speed through automated boundary detection.</li> <li><strong>Architectural Mapping:</strong> Developed a TDA-based engine to visualize complex code dependencies across thousands of files.</li> <li><strong>Stack:</strong> Python, <strong>.NET (Roslyn API)</strong>, and advanced Graph Theory algorithms.</li> </ul>