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We develop a reverse entropy power inequality for convex measures, which may be seen as an affine-geometric inverse of the entropy power inequality of Shannon and Stam. The specialization of this inequality to log-concave measures may be…

泛函分析 · 数学 2012-04-02 Sergey Bobkov , Mokshay Madiman

A numerical method for an inverse problem for an elliptic equation with the running source at multiple positions is presented. This algorithm does not rely on a good first guess for the solution. The so-called "approximate global…

数学物理 · 物理学 2015-03-20 Jianzhong Su , Michael V. Klibanov , Yueming Liu , Zhijin Lin , Natee Pantong , Hanli Liu

We introduce OpenIllumination, a real-world dataset containing over 108K images of 64 objects with diverse materials, captured under 72 camera views and a large number of different illuminations. For each image in the dataset, we provide…

计算机视觉与模式识别 · 计算机科学 2024-02-02 Isabella Liu , Linghao Chen , Ziyang Fu , Liwen Wu , Haian Jin , Zhong Li , Chin Ming Ryan Wong , Yi Xu , Ravi Ramamoorthi , Zexiang Xu , Hao Su

Optical channels, such as fibers or free-space links, are ubiquitous in today's telecommunication networks. They rely on the electromagnetic field associated with photons to carry information from one point to another in space. As a result,…

量子物理 · 物理学 2015-06-18 V. Giovannetti , R. Garcia-Patron , N. J. Cerf , A. S. Holevo

We are concerned with the inverse scattering problem of extracting the geometric structures of an unknown/inaccessible inhomogeneous medium by using the corresponding acoustic far-field measurement. Using the intrinsic geometric properties…

偏微分方程分析 · 数学 2017-06-15 Jingzhi Li , Xiaofei Li , Hongyu Liu

Invisibility devices exploit ambiguities in the inverse scattering problem of light in media. Scattering also serves as an important general tool to infer information about the structure of matter. We elucidate the nature of scattering…

材料科学 · 物理学 2009-11-11 Awatif Hendi , Julian Henn , Ulf Leonhardt

High-resolution optical microscopy has transformed biological imaging, yet its resolution and contrast deteriorate with depth due to multiple light scattering. Conventional correction strategies typically approximate the medium as one or a…

The inverse problem is studied in multi-body systems with nonlinear dynamics representing, e.g., phase-locked wave systems, standard multimode and random lasers. Using a general model for four-body interacting complex-valued variables we…

无序系统与神经网络 · 物理学 2017-08-01 Alessia Marruzzo , Payal Tyagi , Fabrizio Antenucci , Andrea Pagnani , Luca Leuzzi

We study an inverse resonance problem on the line in which we aim at determining a compactly supported and integrable perturbation of a fixed P\"oschl-Teller potential. We define the resonances as the poles of the reflection coefficients…

偏微分方程分析 · 数学 2026-02-03 Valentin Arrigoni

In this paper, a generalization of the traditional point-to-point to communication setup, which is named as "reliable communications with asymmetric codebooks", is proposed. Under the assumption of independent identically distributed…

信息论 · 计算机科学 2008-09-12 Yucel Altug , M. Kivanc Mihcak , Onur Ozyesil , Vishal Monga

Spatial resolution in optical microscopy has traditionally been treated as a fixed parameter of the optical system. Here, we present an approach to enhance transverse resolution in beam-scanned optical coherence tomography (OCT) beyond its…

光学 · 物理学 2021-10-22 Nichaluk Leartprapun , Steven G. Adie

Recent efforts on solving inverse problems in imaging via deep neural networks use architectures inspired by a fixed number of iterations of an optimization method. The number of iterations is typically quite small due to difficulties in…

图像与视频处理 · 电气工程与系统科学 2021-06-04 Davis Gilton , Gregory Ongie , Rebecca Willett

In physical-layer security, one of the most fundamental issues is the secrecy capacity. The objective of this paper is to determine the secrecy capacity for an indoor visible light communication system consisting of a transmitter, a…

信息论 · 计算机科学 2021-09-24 Jin-Yuan Wang , Xian-Tao Fu , Jun-Bo Wang , Min Lin , Julian Cheng , Mohamed-Slim Alouini

We propose a tomographic method to reconstruct the optical properties of a highly-scattering medium from incoherent acousto-optic measurements. The method is based on the solution to an inverse problem for the diffusion equation and makes…

光学 · 物理学 2015-05-14 Guillaume Bal , John C Schotland

Inverse design is a powerful tool in wave-physics and in particular in photonics for compact, high-performance devices. To date, applications have mostly been limited to linear systems and it has rarely been investigated or demonstrated in…

Recent investigations into the physical nature of information and fundamental limits to information transmission have revealed questions such as the possibility of superluminal data transfer or not; and whether reversible computation…

经典物理 · 物理学 2007-05-23 Michael C. Parker , Stuart D. Walker

The inverse source problem where an unknown source is to be identified from the knowledge of its radiated wave is studied. The focus is placed on the effect that multi-frequency data has on establishing uniqueness. In particular, it is…

偏微分方程分析 · 数学 2014-01-03 Sebastian Acosta , Sum Chow , James Taylor , Vianey Villamizar

In information fusion, one is often confronted with the following problem: given a preexisting set of measurements about an unknown quantity, what new measurements should one collect in order to accomplish a given fusion task with optimal…

泛函分析 · 数学 2015-05-28 Matthew Fickus , Dustin G. Mixon , Miriam J. Poteet

The Schroedinger equation is considered on the line when the potential is real valued, compactly supported, and square integrable. The nonuniqueness is analyzed in the recovery of such a potential from the data consisting of the ratio of a…

数学物理 · 物理学 2007-05-23 Tuncay Aktosun

Topological concepts open many new horizons for photonic devices, from integrated optics to lasers. The complexity of large scale topological devices asks for an effective solution of the inverse problem: how best to engineer the topology…

光学 · 物理学 2018-03-09 Laura Pilozzi , Francis A. Farrelly , Giulia Marcucci , Claudio Conti