Results 41 to 50 of about 2,154 (104)
Regularized Gradient Descent: A Nonconvex Recipe for Fast Joint Blind Deconvolution and Demixing
, 2017 We study the question of extracting a sequence of functions $\{\boldsymbol{f}_i, \boldsymbol{g}_i\}_{i=1}^s$ from observing only the sum of their convolutions, i.e., from $\boldsymbol{y} = \sum_{i=1}^s \boldsymbol{f}_i\ast \boldsymbol{g}_i$. While convex
Ling, Shuyang, Strohmer, Thomas
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Application of De La Vallée Poussin Type Inequalities to Half‐Linear Euler Type Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9332-9339, 30 May 2025.ABSTRACT The paper is devoted to the application of de la Vallée Poussin type inequalities to half‐linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented.
Zuzana Pátíková
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A kind of sharp Wirtinger inequality
Journal of Inequalities and Applications, 2019 In this study, we give a kind of sharp Wirtinger inequality ∥f∥p≤Cr,p,q∥f(r)∥qfor all 1≤p,q≤∞, $$ \Vert f \Vert _{p}\le C_{r,p,q} \bigl\Vert f^{(r)} \bigr\Vert _{q} \quad \text{for all } 1\le p,q\le \infty , $$ where f is defined on [0,1] $[0,1]$ and ...
Guiqiao Xu, Zehong Liu, Wanting Lu
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On Asymptotic Behaviors of Acoustic Waves Due to High‐Contrast Material Inclusions
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT This paper investigates the asymptotic behaviors of time‐harmonic acoustic waves generated by an incident wave illuminating inhomogeneous medium inclusions with high‐contrast material parameters. We derive sharp asymptotic estimates and obtain several effective acoustic obstacle scattering models when the material parameters take extreme ...
Yueguang Hu, Hongyu Liu
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Augmented Total Variation Regularization in Radon‐Type Inverse Problems
Studies in Applied Mathematics, Volume 154, Issue 4, April 2025.ABSTRACT We introduce the augmented total variation (TV$TV$) regularization method for Radon‐type inverse problems. Our novel approach incorporates a dual variable into the regularization process, thereby extending and essentially augmenting traditional TV$TV$ regularization techniques.
Nicholas E. Protonotarios +3 more
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IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.This paper develops a matrix‐separation‐based Lyapunov functional method to study extended dissipativity analysis issue of discrete‐time Lur'e‐type delayed systems. The advanced idea of matrix‐separation is reflected in Lyapunov functional candidates and estimate summation terms as precisely as feasible. ABSTRACT This paper develops a matrix‐separation‐
Ke‐You Xie +5 more
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IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.Under expected control performance, the evaluation on acceptable sampling upper bound of proportional‐integral‐derivative controlled in second‐order systems is optimised with a view to maintaining the desired control performance over larger sample periods, while simultaneously reducing the communication burden.
Hong‐Zhang Wang +4 more
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Fully‐Optimized Quantum Metrology: Framework, Tools, and Applications
Advanced Quantum Technologies, Volume 7, Issue 12, December 2024.This tutorial provides a meticulous exploration of quantum metrology, introducing a systematic framework as a valuable tool for optimizing precision in quantum sensing. It guides readers through optimization techniques, practical applications, and the intricacies of quantum control, serving as a useful resource for those delving into quantum parameter ...
Qiushi Liu +3 more
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Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Aizicovici, Sergiu +2 more
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IET Smart Grid, Volume 7, Issue 6, Page 891-903, December 2024.A novel method is proposed to manage and control reactive power within microgrids with high integration of photovoltaic panels. A proactive dispatch is carried out for a few minutes in advance, using power forecast and photovoltaic installations as reactive energy providers.
Alexander Casilimas‐Peña +2 more
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