47 citations · 222 across the 30 of their papers we have counts for
18 papers · 1 filter
Relationships between the Phase Retrieval Problem and Permutation Invariant Embeddings
Radu Balan, Efstratios Tsoukanis
This paper discusses the connection between the phase retrieval problem and permutation invariant embeddings. We show that the real phase retrieval problem for …
Permutation Invariant Representations with Applications to Graph Deep Learning
Radu Balan, Naveed Haghani, Maneesh Singh
This paper presents primarily two Euclidean embeddings of the quotient space generated by matrices that are identified modulo arbitrary row permutations. The original application i…
Optimal l-one Rank One Matrix Decompositions
Radu Balan, Kasso A. Okoudjou, Michael Rawson +2
In this paper we consider the decomposition of positive semidefinite matrices as a sum of rank one matrices. We introduce and investigate the properties of various measures of opti…
Optimization methods for frame conditioning and application to graph Laplacian scaling
Radu Balan, Mathew Begué, Chae Clark +1
A frame is scalable if each of its vectors can be rescaled in such a way that the resulting set becomes a Parseval frame. In this paper, we consider four different optimization pro…
Frames and Phaseless Reconstruction
Radu Balan
Frame design for phaseless reconstruction is now part of the broader problem of nonlinear reconstruction and is an emerging topic in harmonic analysis. The problem of phaseless rec…
On Lipschitz Analysis and Lipschitz Synthesis for the Phase Retrieval Problem
Radu Balan, Dongmian Zou
In this paper we prove two results regarding reconstruction from magnitudes of frame coefficients (the so called "phase retrieval problem"). First we show that phase retrievability…