41 citations · 71 across the 8 of their papers we have counts for
10 papers
Gabor duals with minimal L1-norm
Rocío Díaz Martín, Mark Lammers, Brendan Miller +1
It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows…
Stochastic Markov Gradient Descent and Training Low-Bit Neural Networks
Jonathan Ashbrock, Alexander M. Powell
The massive size of modern neural networks has motivated substantial recent interest in neural network quantization. We introduce Stochastic Markov Gradient Descent (SMGD), a discr…
High order low-bit Sigma-Delta quantization for fusion frames
Zhen Gao, Felix Krahmer, Alexander M. Powell
We construct high order low-bit Sigma-Delta quantizers for the vector-valued setting of fusion frames. We prove that these quantizers can be stably implemented to quant…
A Schauder basis for consisting of non-negative functions
Daniel Freeman, Alexander M. Powell, Mitchell A. Taylor
We prove that contains a Schauder basis of non-negative functions. Similarly, contains a Schauder basic sequence of non-negative functions such…
A Sharp Balian-Low Uncertainty Principle for Shift-Invariant Spaces
Douglas P. Hardin, Michael C. Northington V., Alexander M. Powell
A sharp version of the Balian-Low theorem is proven for the generators of finitely generated shift-invariant spaces. If generators are t…
Error bounds for consistent reconstruction: random polytopes and coverage processes
Alexander M. Powell, J. Tyler Whitehouse
Consistent reconstruction is a method for producing an estimate of a signal if one is given a collection of noisy linear me…