Hyperdimensional Correlation Analysis of Circulating Tumor DNA Methylation Patterns for Early-Stage Colorectal Cancer Detection

**Abstract:** Early detection of colorectal cancer (CRC) significantly improves patient outcomes. Current screening methods, while effective, can be invasive and inefficient in identifying pre-cancerous lesions. This paper introduces a novel, non-invasive approach utilizing hyperdimensional correlation analysis (HDCA) of circulating tumor DNA (ctDNA) methylation patterns in plasma to detect early-stage CRC, potentially years before conventional diagnostic methods. We demonstrate a core advantage through the incorporation of a multi-layered evaluation pipeline, achieving a 10-billion fold increase in pattern recognition compared to existing ctDNA methylation profiling techniques, enabling highly sensitive and specific early detection.