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We have proposed and implemented a modification of the well-known wall follower algorithm to identify a backbone (a current-carrying part) of the percolation cluster. The advantage of the modified algorithm is identification of the whole…

Disordered Systems and Neural Networks · Physics 2021-03-10 Renat K. Akhunzhanov , Andrei V. Eserkepov , Yuri Yu. Tarasevich

Using computer simulations, we have studied the percolation and the electrical conductance of two-dimensional, random percolating networks of curved, zero-width metallic nanowires. We mimicked the curved nanowires using circular arcs. The…

Statistical Mechanics · Physics 2023-05-01 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

There is a renewed surge in percolation-induced transport properties of diverse nano-particle composites (cf. RSC Nanoscience & Nanotechnology Series, Paul O'Brien Editor-in-Chief). We note in particular a broad interest in nano-composites…

Disordered Systems and Neural Networks · Physics 2013-09-26 Feng Shi , Simi Wang , Peter J. Mucha , M. Gregory Forest

In a Monte Carlo study the conductivity of two-dimensional random stick systems is investigated from the percolation threshold up to ten times the percolation threshold density. We propose a model explicitly depending on the stick density…

Disordered Systems and Neural Networks · Physics 2012-10-10 Milan Žeželj , Igor Stanković

We mimic nanorod-based transparent electrodes as random resistor networks (RRN) produced by the homogeneous, isotropic, and random deposition of conductive zero-width sticks onto an insulating substrate. We suppose that the number density…

Disordered Systems and Neural Networks · Physics 2022-04-25 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

Electrically percolating nanowire networks are amongst the most promising candidates for next-generation transparent electrodes. Scientific interest in these materials stems from their intrinsic current distribution heterogeneity, leading…

Applied Physics · Physics 2024-04-11 J. Fekete , P. Joshi , T. J. Barrett , T. M. James , R. Shah , A. Gadge , S. Bhumbra , F. Oručević , P. Krüger

We have studied the electrical conductance of two-dimensional (2D) random percolating networks of zero-width metallic nanowires (a mixture of rings and sticks). We toke into account the nanowire resistance per unit length and the junction…

Disordered Systems and Neural Networks · Physics 2023-03-08 Yuri Yu. Tarasevich , Andrei V. Eserkepov

We consider the task of detecting a salient cluster in a sensor network, that is, an undirected graph with a random variable attached to each node. Motivated by recent research in environmental statistics and the drive to compete with the…

Statistics Theory · Mathematics 2013-03-22 Ery Arias-Castro , Geoffrey R. Grimmett

We have proposed an analytical model for the electrical conductivity in random, metallic, nanowire networks. We have mimicked such random nanowire networks as random resistor networks (RRN) produced by the homogeneous, isotropic, and random…

Statistical Mechanics · Physics 2022-05-24 Yuri Yu. Tarasevich , Irina V. Vodolazskaya , Andrei V. Eserkepov

We present a directed percolation inverse problem for diode networks: Given information about which pairs of nodes allow current to percolate from one to the other, can one find a configuration of diodes consistent with the observed…

Disordered Systems and Neural Networks · Physics 2022-09-19 Sean Deyo

Films made from random nanowire arrays are an attractive choice for electronics requiring flexible transparent conductive films. However, thus far there has been no unified theory for predicting their electrical conductivity. In particular,…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Milind Jagota , Isaac Scheinfeld

The use of machine learning techniques in classical and quantum systems has led to novel techniques to classify ordered and disordered phases, as well as uncover transition points in critical phenomena. Efforts to extend these methods to…

Physics and Society · Physics 2023-10-10 Sayat Mimar , Gourab Ghoshal

We study by means of Monte-Carlo numerical simulations the resistance of two-dimensional random percolating networks of stick, widthless nanowires. We use the multi-nodal representation (MNR) to model a nanowire network as a graph. We…

Disordered Systems and Neural Networks · Physics 2019-09-04 Robert Benda , Bérengère Lebental , Eric Cancès

Neural networks for image recognition have evolved through extensive manual design from simple chain-like models to structures with multiple wiring paths. The success of ResNets and DenseNets is due in large part to their innovative wiring…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Saining Xie , Alexander Kirillov , Ross Girshick , Kaiming He

Metal wire networks rely on percolation paths for electrical conduction, and by suitably introducing break-make junctions on a flexible platform, a network can be made to serve as a resistive strain sensor. Several experimental designs have…

Applied Physics · Physics 2021-07-09 Ankush Kumar

The success of neural networks has driven a shift in focus from feature engineering to architecture engineering. However, successful networks today are constructed using a small and manually defined set of building blocks. Even in methods…

Machine Learning · Computer Science 2019-11-19 Mitchell Wortsman , Ali Farhadi , Mohammad Rastegari

The combined processes of anodization and electrodeposition lead to highly ordered arrays of cylindrical nanowires. This template-based self-assembly fabrication method yields nanowires embedded in alumina. Commonly, chemical etching is…

Materials Science · Physics 2009-11-13 J. L. Silverberg

We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the…

Statistical Mechanics · Physics 2017-09-13 Reimer Kuehn , Tim Rogers

Large-scale recurrent networks have drawn increasing attention recently because of their capabilities in modeling a large variety of real-world phenomena and physical mechanisms. This paper studies how to identify all authentic connections…

Machine Learning · Statistics 2015-06-23 Yiyuan She , Yuejia He , Dapeng Wu

Networks are powerful instruments to study complex phenomena, but they become hard to analyze in data that contain noise. Network backbones provide a tool to extract the latent structure from noisy networks by pruning non-salient edges. We…

Physics and Society · Physics 2017-01-26 Michele Coscia , Frank Neffke
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