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We prove the unique solvability, passivity/conservativity and some regularity results of two mathematical models for acoustic wave propagation in curved, variable diameter tubular structures of finite length. The first of the models is the…

动力系统 · 数学 2014-05-29 Atte Aalto , Teemu Lukkari , Jarmo Malinen

We develop a theory for waveform-diverse moving-target synthetic-aperture radar, in the case in which a single moving antenna is used for both transmitting and receiving. We assume that the targets (scattering objects) are moving linearly,…

经典物理 · 物理学 2011-05-17 Margaret Cheney , Brett Borden

We present a novel propagation medium using a pair of non-identical coupled transmission lines. The medium is referred to as `butterfly' structure and is composed of four coupled transmission lines. These four coupled transmission lines…

经典物理 · 物理学 2017-07-05 Muhammed Zuboraj , Kubilay Sertel , John L. Volakis

Some popular mechanisms for restricting the diffusion of waves include introducing disorder (to provoke Anderson localization) and engineering topologically non-trivial phases (to allow for topological edge states to form). However, other…

介观与纳米尺度物理 · 物理学 2024-07-09 C. A. Downing , L. Martín-Moreno , O. I. R. Fox

We show how well known rules of back propagation arise from a weighted combination of finite automata. By redefining a finite automata as a predictor we combine the set of all $k$-state finite automata using a weighted majority algorithm.…

机器学习 · 计算机科学 2018-03-30 Finn Macleod

In the context of mathematical modeling, it is sometimes convenient to integrate models of different nature. These types of combinations, however, might entail difficulties even when individual models are well-understood, particularly in…

数值分析 · 数学 2023-01-20 Christina Schenk , David Portillo , Ignacio Romero

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

统计力学 · 物理学 2008-03-14 Aram Galstyan , Paul Cohen

We study distributed estimation and learning problems in a networked environment where agents exchange information to estimate unknown statistical properties of random variables from their privately observed samples. The agents can…

机器学习 · 计算机科学 2024-04-02 Marios Papachristou , M. Amin Rahimian

We continue the recent line of research studying information dissemination problems in adversarial dynamic radio networks. We give two generic algorithms which allow to transform generalized version of single-message broadcast algorithms…

分布式、并行与集群计算 · 计算机科学 2016-10-11 Mohamad Ahmadi , Fabian Kuhn

This paper proposes distributed discrete-time algorithms to cooperatively solve an additive cost optimization problem in multi-agent networks. The striking feature lies in the use of only the sign of relative state information between…

系统与控制 · 计算机科学 2018-12-11 Jiaqi Zhang , Keyou You , Tamer Başar

This paper studies radio propagation mechanisms that impact handoffs, air interface design, beam steering, and MIMO for 5G mobile communication systems. Knife edge diffraction (KED) and a creeping wave linear model are shown to predict…

信息论 · 计算机科学 2018-02-14 Theodore S. Rappaport , George R. MacCartney , Shu Sun , Hangsong Yan , Sijia Deng

We extend a recently introduced class of exactly solvable models for recurrent neural networks with competition between 1D nearest neighbour and infinite range information processing. We increase the potential for further frustration and…

无序系统与神经网络 · 物理学 2009-10-31 N. S. Skantzos , A. C. C. Coolen

We demonstrate that crossed arrays of optical fibers support the double-discrete linear and nonlinear propagation of light beams, in which not only the transverse coordinate (the fiber's number) is discrete, but also the longitudinal…

光学 · 物理学 2015-06-16 Kestutis Staliunas , Boris Malomed

Distributed learning is the problem of inferring a function in the case where training data is distributed among multiple geographically separated sources. Particularly, the focus is on designing learning strategies with low computational…

机器学习 · 统计学 2016-07-22 Simone Scardapane

Two-hop security communication with an eavesdropper in wireless environment is a hot research direction. The basic idea is that the destination, simultaneously with the source, sends a jamming signal to interfere the eavesdropper near to or…

信息论 · 计算机科学 2013-10-03 Zhen Qu , Shengli Zhang , Mingjun Dai , Hui Wang

Propagating patterns are used to transfer and process information in chemical and physical prototypes of unconventional computing devices. Logical values are represented by fronts of traveling diffusive, trigger or phase waves. We apply…

Time-discrete dynamical systems on a finite state space have been used with great success to model natural and engineered systems such as biological networks, social networks, and engineered control systems. They have the advantage of being…

组合数学 · 数学 2015-03-17 Alan Veliz-Cuba , Reinhard Laubenbacher

We study the qualitative properties of a spatial diffusive heterogeneous SIR model, that appears in mathematical epidemiology to describe the spread of an infectious disease in a population. The model we consider consists in a system of…

偏微分方程分析 · 数学 2020-05-15 Romain Ducasse

We consider a multi-species reaction-diffusion system that arises in epidemiology to describe the spread of several strains, or variants, of a disease in a population. Our model is a natural spatial, multi-species, extension of the…

偏微分方程分析 · 数学 2022-08-02 Romain Ducasse , Samuel Nordmann

We consider random networks whose dynamics is described by a rate equation, with transition rates $w_{nm}$ that form a symmetric matrix. The long time evolution of the system is characterized by a diffusion coefficient $D$. In one dimension…

统计力学 · 物理学 2012-12-04 Yaron de Leeuw , Doron Cohen