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Related papers: Enhanced Near-cloak by FSH Lining

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Invisible cloaking is one of major outcomes of the metamaterial research, but the practical potential, in particular for high frequencies (e.g., microwave to visible light), is fatally challenged by the complex material properties they…

Optics · Physics 2015-11-26 Jianfei Zhu , Wei Jiang , Yichao Liu , Ge Yin , Jun Yuan , Sailing He , Yungui Ma

Near-field scanning optical microscopy is a powerful technique for imaging below the diffraction limit, which has been extensively used in bio-medical imaging and nanophotonics. However, when the electromagnetic fields under measurement are…

It is shown how a recently proposed method of cloaking is effective over a broad range of frequencies. The method is based on three or more active devices. The devices, while not radiating significantly, create a ``quiet zone'' between the…

Mathematical Physics · Physics 2015-06-03 Fernando Guevara Vasquez , Graeme W. Milton , Daniel Onofrei

We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on curves for instance. The proposed principle and algorithm are…

Numerical Analysis · Mathematics 2019-02-05 Frédéric de Gournay , Jonas Kahn , Léo Lebrat , Pierre Weiss

We propose a novel variant of the Localized Orthogonal Decomposition (LOD) method for time-harmonic scattering problems of Helmholtz type with high wavenumber $\kappa$. On a coarse mesh of width $H$, the proposed method identifies local…

Numerical Analysis · Mathematics 2024-08-05 Philip Freese , Moritz Hauck , Daniel Peterseim

The need for fast sparse optimization is emerging, e.g., to deal with large-dimensional data-driven problems and to track time-varying systems. In the framework of linear sparse optimization, the iterative shrinkage-thresholding algorithm…

Optimization and Control · Mathematics 2025-01-22 Vito Cerone , Sophie M. Fosson , Diego Regruto

In recent years, there has been a growing interest in mathematical models leading to the minimization, in a symmetric matrix space, of a Bregman divergence coupled with a regularization term. We address problems of this type within a…

Optimization and Control · Mathematics 2022-06-10 A. Benfenati , E. Chouzenoux , J. -C. Pesquet

We propose a new method for estimating the intrinsic dimension of a dataset by applying the principle of regularized maximum likelihood to the distances between close neighbors. We propose a regularization scheme which is motivated by…

Machine Learning · Computer Science 2012-03-19 Mithun Das Gupta , Thomas S. Huang

We study the approximability of an existing framework for clustering edge-colored hypergraphs, which is closely related to chromatic correlation clustering and is motivated by machine learning and data mining applications where the goal is…

Data Structures and Algorithms · Computer Science 2023-05-16 Nate Veldt

We calculate the dark matter halo correlation function in redshift space using the Gaussian streaming model (GSM). To determine the scale dependent functions entering the streaming model we use local Lagrangian bias together with…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Michael Kopp , Cora Uhlemann , Ixandra Achitouv

Last-layer retraining methods have emerged as an efficient framework for correcting existing base models. Within this framework, several methods have been proposed to deal with correcting models for subgroup fairness with and without group…

Machine Learning · Computer Science 2024-06-17 Nathan Stromberg , Rohan Ayyagari , Sanmi Koyejo , Richard Nock , Lalitha Sankar

This paper is concerned with the Fourier-Bessel method for the boundary value problems of the Helmholtz equation in a smooth simply connected domain. Based on the denseness of Fourier-Bessel functions, the problem can be approximated by…

Numerical Analysis · Mathematics 2018-10-03 Deyue Zhang , Fenglin Sun , Yan Ma , Yukun Guo

Finite element approximations of minimal surface are not always precise. They can even sometimes completely collapse. In this paper, we provide a simple and inexpensive method, in terms of computational cost, to improve finite element…

Numerical Analysis · Mathematics 2018-05-18 Aymeric Grodet , Takuya Tsuchiya

We propose a Semi-Lagrangian scheme coupled with Radial Basis Function interpolation for approximating a curvature-related level set model, which has been proposed by Zhao et al. in \cite{ZOMK} to reconstruct unknown surfaces from sparse,…

Numerical Analysis · Mathematics 2016-11-08 Elisabetta Carlini , Roberto Ferretti

Nearest neighbor search is fundamental to a wide range of applications. Since the exact nearest neighbor search suffers from the "curse of dimensionality", approximate approaches, such as Locality-Sensitive Hashing (LSH), are widely used to…

Databases · Computer Science 2021-04-14 Huan Hu , Jianzhong Li

In this contribution, we present the design of cylindrical electromagnetic cloaks working at optical frequencies, making use of layered structures of plasmonic and non-plasmonic materials. The simulated results confirm the validity of the…

Optics · Physics 2008-06-09 F. Bilotti , S. Tricarico , L. Vegni

In this paper, we propose a maximum smoothed likelihood method to estimate the component density functions of mixture models, in which the mixing proportions are known and may differ among observations. The proposed estimates maximize a…

Methodology · Statistics 2014-07-14 Tao Yu , Pengfei Li , Jing Qin

We show that the properties of the lower part of the spectrum of the Helmholtz equation for an heterogeneous system in a finite region in $d$ dimensions, where the solutions to the homogeneous problems are known, can be systematically…

Mathematical Physics · Physics 2015-12-23 Paolo Amore

In this paper, we present various schemes of cloaking an arbitrary objects via anomalous localized resonance and provide their analysis in two and three dimensions. This is a way to cloak an object using negative index materials in which…

Mathematical Physics · Physics 2016-07-25 Hoai-Minh Nguyen

Acoustic cloaks that make object undetectable to sound waves have potential applications in a variety of scenarios and have received increasing interests recently. However, the experimental realization of a three-dimensional (3D) acoustic…

Classical Physics · Physics 2014-03-13 Weiwei Kan , Bin Liang , Ruiqi Li , Xue Jiang , Xin-ye Zou , Lei-lei Yin , Jianchun Cheng