Department of Statistics pres.
Statistics Department Seminar Series: Bhaswar Bhattacharya, Assistant Professor, Department of Statistics, The Wharton School, University of Pennsylvania
"Detection Thresholds for Non-Parametric Tests Based on Geometric Graphs: The Curious Case of Dimension 8"
In this talk, we will derive the detection thresholds and limiting local power of these tests, thus providing a way to compare and justify the performance of these tests in various applications. Several interesting properties emerge, such as a curious phase transition in dimension 8, and a remarkable blessing of dimensionality in detecting scale changes.
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