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math.FA2017
Equiangular tight frames that contain regular simplices
Matthew Fickus, John Jasper, Emily J. King +1
An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. A regular simplex is a special type of ETF in which the number of vectors is one more tha…
math.FA2017
A theoretical guarantee for data completion via geometric separation
Emily J. King, James M. Murphy
Scientific and commercial data is often incomplete. Recovery of the missing information is an important pre-processing step in data analysis. Real-world data can in many cases be r…
math.FA2012
Smooth Parseval frames for and generalizations to
Emily J. King
Wavelet set wavelets were the first examples of wavelets that may not have associated multiresolution analyses. Furthermore, they provided examples of complete orthonormal wavelet…