Title
The Kernel Spatial Scan Statistic.
Abstract
Kulldorff's (1997) seminal paper on spatial scan statistics (SSS) has led to many methods considering different regions of interest, different statistical models, and different approximations while also having numerous applications in epidemiology, environmental monitoring, and homeland security. SSS provides a way to rigorously test for the existence of an anomaly and provide statistical guarantees as to how "anomalous" that anomaly is. However, these methods rely on defining specific regions where the spatial information a point contributes is limited to binary 0 or 1, of either inside or outside the region, while in reality anomalies will tend to follow smooth distributions with decaying density further from an epicenter. In this work, we propose a method that addresses this shortcoming through a continuous scan statistic that generalizes SSS by allowing the point contribution to be defined by a kernel. We provide extensive experimental and theoretical results that shows our methods can be computed efficiently while providing high statistical power for detecting anomalous regions.
Year
DOI
Venue
2019
10.1145/3347146.3359101
SIGSPATIAL/GIS
Keywords
DocType
Volume
Anomaly detection, Spatial Scan Statistics, Kernels, Scalable Algorithms
Conference
abs/1906.09381
ISBN
Citations 
PageRank 
978-1-4503-6909-1
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Mingxuan Han100.34
Michael Matheny221.80
Jeff M. Phillips353649.83