Quantized Compressed Sensing by Rectified Linear Units
(2021) IEEE Transactions on Information Theory — Vol. 67, n° 6, p. 4125-4149 (2021)
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- Authors
Maly, Johannes 
- Abstract
- The paper computes the Brouwer degree of some classes of homogeneous polynomials defined on quaternions and applies the results, together with a continuation theorem of coincidence degree theory, to the existence and multiplicity of periodic solutions of a class of systems of quaternionic valued ordinary differential equations. This article is part of the theme issue 'Topological degree and fixed point theories in differential and difference equations'.
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Citations
Jung, H. C., Maly, J., Palzer, L., & Stollenwerk, A. (2021). Quantized Compressed Sensing by Rectified Linear Units. IEEE Transactions on Information Theory, 67(6), 4125-4149. https://doi.org/10.1109/tit.2021.3070789 (Original work published 2021)