Concept
Shift operator
Related publications (20)
Explicit representations for Banach subspaces of Lizorkin distributions
Michaël Unser, Sebastian Jonas Neumayer
The Lizorkin space is well suited to the study of operators like fractional Laplacians and the Radon transform. In this paper, we show that the space is unfortunately not complemented in the Schwartz space. In return, we show that it is dense in C0(Double- ...
WORLD SCIENTIFIC PUBL CO PTE LTD2023Fredholm transformation on Laplacian and rapid stabilization for the heat equations
We revisit the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. We prove that, under some assumption on the control operator, two scalar controls are necessary and sufficient ...
2021Error Feedback Fixes SignSGD and other Gradient Compression Schemes
Martin Jaggi, Sebastian Urban Stich, Quentin Rebjock, Sai Praneeth Reddy Karimireddy
Sign-based algorithms (e.g. signSGD) have been proposed as a biased gradient compression technique to alleviate the communication bottleneck in training large neural networks across multiple workers. We show simple convex counter-examples where signSGD doe ...
PMLR2019Error Feedback Fixes SignSGD and other Gradient Compression Schemes
Martin Jaggi, Sebastian Urban Stich, Quentin Rebjock, Sai Praneeth Reddy Karimireddy
Sign-based algorithms (e.g. signSGD) have been proposed as a biased gradient compression technique to alleviate the communication bottleneck in training large neural networks across multiple workers. We show simple convex counter-examples where signSGD doe ...
2019Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics
A set is called rational if it is well approximable by finite unions of arithmetic progressions, meaning that for every there exists a set , where $a_{1},\ldots ,a_ ...
2019