Numerical Integration for Forensic DNA Evidence Evaluation

Explore numerical integration techniques for forensic DNA evidence evaluation in this conference talk from Dyalog '22. Delve into the challenges of integrating functions with multiple variables, typically ranging from two to five, corresponding to the number of individuals contributing to an evidential DNA sample. Learn about an innovative alternative to traditional methods that addresses various shortcomings in published approaches. Follow the speaker's journey from volumetric Voronoi cells to adaptive integration and simplex splitting. Witness a live demonstration and gain insights into generalizing integration techniques across multiple dimensions. Conclude with a concise overview of the integration algorithm and its potential applications in forensic science and beyond.

Introduction to the problem
Initial method: Volumetric voronoi cells
Issues with the method
Detour: Riemann sums
Live demo
Adaptive integration
Generalising to more dimensions
Splitting a simplex
Integration algorithm in brief
Summary and epilogue