118 citations · 790 across the 44 of their papers we have counts for
50 papers
Convex Geometry of ReLU-layers, Injectivity on the Ball and Local Reconstruction
Daniel Haider, Martin Ehler, Peter Balazs
The paper uses a frame-theoretic setting to study the injectivity of a ReLU-layer on the closed ball of and its non-negative part. In particular, the interplay betwe…
Accelerated Griffin-Lim algorithm: A fast and provably converging numerical method for phase retrieval
Rossen Nenov, Dang-Khoa Nguyen, Peter Balazs +1
The recovery of a signal from the magnitudes of its transformation, like the Fourier transform, is known as the phase retrieval problem and is of big relevance in various fields of…
Faster than Fast: Accelerating the Griffin-Lim Algorithm
Rossen Nenov, Dang-Khoa Nguyen, Peter Balazs
The phase retrieval problem is found in various areas of applications of engineering and applied physics. It is also a very active field of research in mathematics, signal processi…
On the relation of the frame-related operators of fusion frame systems
Lukas Köhldorfer, Peter Balazs
Frames have been investigated frequently over the last few decades due to their valuable properties, which are desirable for various applications as well as interesting for theory.…
A Survey of Fusion Frames in Hilbert Spaces
Lukas Köhldorfer, Peter Balazs, Pete Casazza +4
Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image pro…
Quantitative bounds for unconditional pairs of frames
Peter Balazs, Daniel Freeman, Roxana Popescu +1
We formulate a quantitative finite-dimensional conjecture about frame multipliers and prove that it is equivalent to Conjecture 1 in [SB2]. We then present solutions to the conject…