no code implementations • 3 Feb 2022 • Icíar LLoréns Jover, Thomas Debarre, Shayan Aziznejad, Michael Unser
We prove that an optimal solution to the inverse problem is a closed curve with spline components.
1 code implementation • 12 Dec 2021 • Shayan Aziznejad, Joaquim Campos, Michael Unser
Our motivation for defining HTV is to assess the complexity of supervised-learning schemes.
no code implementations • 24 Mar 2021 • Thomas Debarre, Shayan Aziznejad, Michael Unser
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite number of linear measurements.
1 code implementation • 17 Jan 2020 • Shayan Aziznejad, Harshit Gupta, Joaquim Campos, Michael Unser
To that end, we first establish a global bound for the Lipschitz constant of neural networks.
no code implementations • 2 Nov 2018 • Shayan Aziznejad, Michael Unser
In this paper, we provide a Banach-space formulation of supervised learning with generalized total-variation (gTV) regularization.