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math.NA2021
Modewise Operators, the Tensor Restricted Isometry Property, and Low-Rank Tensor Recovery
Mark A. Iwen, Deanna Needell, Michael Perlmutter +1
Recovery of sparse vectors and low-rank matrices from a small number of linear measurements is well-known to be possible under various model assumptions on the measurements. The ke…
math.NA2021
Phase Retrieval for via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements
Mark Iwen, Michael Perlmutter, Nada Sissouno +1
In this paper, we focus on the approximation of smooth functions , up to an unresolvable global phase ambiguity, from a finite set of Short Time…
math.NA2019
Inverting Spectrogram Measurements via Aliased Wigner Distribution Deconvolution and Angular Synchronization
Michael Perlmutter, Sami Merhi, Aditya Viswanathan +1
We propose a two-step approach for reconstructing a signal from subsampled short-time Fourier transform magnitude (spectogram) measurements: First, we use…