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Despite recent advances in population-based structural health monitoring (PBSHM), knowledge transfer between highly-disparate structures (i.e., heterogeneous populations) remains a challenge. The current work proposes that heterogeneous…

Machine Learning · Computer Science 2026-03-25 T. A. Dardeno , A. J. Hughes , L. A. Bull , R. S. Mills , N. Dervilis , K. Worden

Modelling diffusion processes in heterogeneous media requires addressing inherent discontinuities across interfaces, where specific conditions are to be met. These challenges fall under the purview of Mathematical Analysis as…

Analysis of PDEs · Mathematics 2023-06-28 Vincenzo Bianca , Edgard A. Pimentel , José Miguel Urbano

Communication is compositional if complex signals can be represented as a combination of simpler subparts. In this paper, we theoretically show that inductive biases on both the training framework and the data are needed to develop a…

Machine Learning · Computer Science 2024-04-04 Łukasz Kuciński , Tomasz Korbak , Paweł Kołodziej , Piotr Miłoś

The average light transmission of one-dimensional photonic media has been studied as a function of the medium homogeneity, quantified by the Shannon-Wiener index. We have found a decrease in the average light transmission by increasing the…

Optics · Physics 2015-05-27 Michele Bellingeri , Francesco Scotognella

We experimentally observed optical precursors in optically pumped crystals using polarization-based interference. By switching the user-programmable medium among the fast light, slow light and no-dispersion regimes, we observed an unchanged…

Quantum Physics · Physics 2013-04-15 Zong-Quan Zhou , Chuan-Feng Li , Guang-Can Guo

Vehicular communication is characterized by a dynamic environment, high mobility, and comparatively low antenna heights on the communicating entities (vehicles and roadside units). These characteristics make vehicular propagation and…

Networking and Internet Architecture · Computer Science 2015-05-27 Wantanee Viriyasitavat , Mate Boban , Hsin-Mu Tsai , Athanasios Vasilakos

Biochemical signal transduction, a form of molecular communication, can be modeled using graphical Markov channels with input-modulated transition rates. Such channel models are strongly non-Gaussian. In this paper we use a linear noise…

Quantitative Methods · Quantitative Biology 2019-08-30 Gregory R. Hessler , Andrew W. Eckford , Peter J. Thomas

Transport processes underpin a multitude of phenomena, ranging from the propagation of atoms on lattices, to the mobility patterns of microorganisms and earthquakes, to name a few. The dynamics of these processes is very rich and key to…

Imaging through scattering and random media is an outstanding problem that to date has been tackled by either measuring the medium transmission matrix or exploiting linear correlations in the transmitted speckle patterns. However,…

Optics · Physics 2022-04-07 Ilya Starshynov , Alex Turpin , Philip Binner , Daniele Faccio

Inhomogeneity generated waves, discovered more than a decade ago, play an important role in processes like energy transfer, turbulence generation, heating, etc. To understand the nature of these waves we developed the formalism that looks…

Plasma Physics · Physics 2019-03-14 Edisher Kaghashvili

Strategic communication often relies on anchors observed by the sender but not by the receiver. An analyst may report against a proprietary valuation model, an auditor against an internal score, a manager against an accounting estimate, or…

Theoretical Economics · Economics 2026-05-26 Jeremy Bertomeu

Many biological phenomena such as locomotion, circadian cycles, and breathing are rhythmic in nature and can be modeled as rhythmic dynamical systems. Dynamical systems modeling often involves neglecting certain characteristics of a…

Dynamical Systems · Mathematics 2016-01-20 M. Mert Ankaralı , Shahin Sefati , Manu S. Madhav , Andrew Long , Amy J. Bastian , Noah J. Cowan

Individuals, despite having varied life experiences and learning processes, can communicate effectively through languages. This study aims to explore the efficiency of language as a communication medium. We put forth two specific…

Machine Learning · Computer Science 2024-10-21 Hang Chen , Yuchuan Jang , Weijie Zhou , Cristian Meo , Ziwei Chen , Dianbo Liu

The nonlinear supratransmission is the property of a nonlinear system possessing a natural forbidden band gap to transmit energy of a signal with a frequency in the gap by means of generation of nonlinear modes (gap solitons). This process…

Pattern Formation and Solitons · Physics 2015-06-26 J. Leon

In this paper we analyze the transport of passive tracers by deterministic stationary incompressible flows which can be decomposed over an infinite number of spatial scales without separation between them. It appears that a low order…

Mathematical Physics · Physics 2009-11-10 Houman Owhadi

In this work we show analytically and numerically that wave transport through random waveguides can be modeled as a diffusion with an inhomogeneous diffusion coefficient (IDC). In localized regime, IDC retains the memory of the source…

Disordered Systems and Neural Networks · Physics 2015-11-05 P. Neupane , A. Yamilov

The classical model of signaling games assumes that the receiver exactly know the type space (private information) of the sender and be able to discriminate each type of the sender distinctly. However, the justification of this assumption…

Computer Science and Game Theory · Computer Science 2010-02-24 Haoyang Wu

We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\varepsilon$ and magnetic permeability $\mu$ depend on the…

Mathematical Physics · Physics 2025-04-02 Maxence Cassier , Patrick Joly

We study the propagation of waves in a quasi 1D homogeneous host medium filled with various resonators. We first prove that a far field coupling between the elements explains its dispersive nature. This coupling is interpreted as a Fano…

Optics · Physics 2011-12-13 Fabrice Lemoult , Mathias Fink , Geoffroy Lerosey

Any representation of data involves arbitrary investigator choices. Because those choices are external to the data-generating process, each choice leads to an exact symmetry, corresponding to the group of transformations that takes one…

Machine Learning · Statistics 2023-06-29 Soledad Villar , David W. Hogg , Weichi Yao , George A. Kevrekidis , Bernhard Schölkopf