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Activity Number: 9
Type: Invited
Date/Time: Sunday, July 31, 2016 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract #318301
Title: Multiple Testing of Local Maxima for Detection of Peaks on the Sphere, with Applications in Astronomy
Author(s): Dan Cheng* and Armin Schwartzman and Valentina Cammarota and Domenico Marinucci and Yabebal Fantaye
Companies: University of California at San Diego and University of California at San Diego and University of Rome "Tor Vergata" and University of Rome "Tor Vergata" and University of Rome "Tor Vergata"
Keywords: Multiple testing ; Local maxima ; FDR ; Sphere ; Needlet transform
Abstract:

We present a topological multiple testing scheme for detecting peaks on the sphere under isotropic Gaussian noise, where tests are performed at local maxima of the observed field filtered by the spherical needlet transform. The proposed algorithms, combined with the Benjamini-Hochberg procedure for thresholding p-values, provide asymptotic strong control of the False Discovery Rate (FDR) and power consistency as the signal strength and the frequency of needlet transform get large. This novel multiple testing method is motivated by point-source detection in Cosmic Microwave Background radiation (CMB) data in astronomy.


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