Sparse Recovery: The Square of Norms

J Jia, A Prater-Bennette, L Shen, EE Tripp - Journal of Scientific Computing, 2025 - Springer
This paper introduces a nonconvex approach for sparse signal recovery, proposing a novel
model termed the\(\tau _2\)-model, which utilizes the squared\(\ell _1/\ell _2\) norms for this …

Comparison of echo state network output layer classification methods on noisy data

AA Prater - 2017 International Joint Conference on Neural …, 2017 - ieeexplore.ieee.org
Echo state networks are a recently developed type of recurrent neural network where the
internal layer is fixed with random weights, and only the output layer is trained on specific …

Composite minimization: Proximity algorithms and their applications

F Chen - 2015 - search.proquest.com
Image and signal processing problems of practical importance, such as incomplete data
recovery and compressed sensing, are often modeled as nonsmooth optimization problems …

Reservoir computing dynamics for single nonlinear node with delay line structure

CA DiMarco - arXiv preprint arXiv:1510.03800, 2015 - arxiv.org
For a reservoir computer composed of a single nonlinear node and delay line, we show that
after a finite period of discrete time, the distance between two reservoir outputs is bounded …

Sparse tensor recovery via n-mode FISTA with support augmentation

A Prater-Bennette, L Shen - 2018 IEEE Global Conference on …, 2018 - ieeexplore.ieee.org
A common approach for performing sparse tensor recovery is to use an N-mode FISTA
method. However, this approach may fail in some cases by missing some values in the true …

Randomness and isometries in echo state networks and compressed sensing

A Prater-Bennette - … Sensing VII: From Diverse Modalities to …, 2018 - spiedigitallibrary.org
Although largely different concepts, echo state networks and compressed sensing models
both rely on collections of random weights; as the reservoir dynamics for echo state …

A partially proximal linearized alternating minimization method for finding Dantzig selectors

X Mao, H He, HK Xu - Computational and Applied Mathematics, 2021 - Springer
The Dantzig selector (DS) is an efficient estimator designed for high-dimensional linear
regression problems, especially for the case where the number of samples n is much less …

Accelerated Proximal Algorithm for Finding the Dantzig Selector and Source Separation Using Dictionary Learning

H Ullah, M Amir, M Iqbal, A Khan, W Khan - Tehnički vjesnik, 2020 - hrcak.srce.hr
Sažetak In most of the applications, signals acquired from different sensors are composite
and are corrupted by some noise. In the presence of noise, separation of composite signals …