Anomaly Detection Using Voronoi k-distance
A study of Voronoi partitions and density-based outlier detection using the Voronoi k-distance measure.
Kai Weixian Lan
Research Engineer, Epic Games
Hi! I’m Kai, a research engineer at Epic Games. My work sits at the intersection of machine learning and computer graphics, spanning human motion generation, character animation as well as physics-based simulation. I’m passionate about designing tools and techniques that are powerful, intuitive and accessible to everyone.
I received my PhD in Computer Science from the University of California, Davis, advised by Julian Panetta and Joseph Teran. During my internship at Epic Games, I was fortunate to be mentored by Daniel Holden. If you’d like to connect or collaborate, feel free to reach out—I’d love to hear from you.
Education
- PhD in Computer Science, University of California, Davis 2026
- BSc in Mathematics, University of Northern British Columbia 2021
Publications
Projects
The Lattice for Finding Conserved Quantities of Dynamical Systems
A systematic approach to finding conserved quantities of polynomial systems by solving a sequence of linear recurrence equations.
A Survey of Mathematical Cryptography
An overview of the history of cryptography, from the Caesar cipher to modern elliptic curve cryptography.
Wallpaper Groups and the Magic Theorem
A study of the wallpaper groups of plane symmetries and Conway’s magic theorem.