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1
Introduction to the problem
2
Initial method: Volumetric voronoi cells
3
Issues with the method
4
Detour: Riemann sums
5
Live demo
6
Adaptive integration
7
Generalising to more dimensions
8
Splitting a simplex
9
Integration algorithm in brief
10
Summary and epilogue
Description:
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.

Numerical Integration for Forensic DNA Evidence Evaluation

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