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In a graph convolutional network, we assume that the graph $G$ is generated wrt some observation noise. During learning, we make small random perturbations $\Delta{}G$ of the graph and try to improve generalization. Based on quantum…

Machine Learning · Computer Science 2019-07-02 Ke Sun , Piotr Koniusz , Zhen Wang

Learning representation on graph plays a crucial role in numerous tasks of pattern recognition. Different from grid-shaped images/videos, on which local convolution kernels can be lattices, however, graphs are fully coordinate-free on…

Machine Learning · Computer Science 2018-11-13 Jiatao Jiang , Zhen Cui , Chunyan Xu , Jian Yang

Emission line spectra from HII regions are often used to study properties of the gas in star-forming regions, as well as temperatures and luminosities of the ionising sources. Empirical diagnostics for the interpretation of observational…

Astrophysics · Physics 2007-05-23 Barbara Ercolano , Nate Bastian

We report on the design and experimental characterization of a surface-electrode multipole ion trap. Individual microscopic sugar particles are confined in the trap. The trajectories of driven particle motion are compared with a theoretical…

Despite being very successful within the pattern recognition and machine learning community, graph-based methods are often unusable because of the lack of mathematical operations defined in graph domain. Graph embedding, which maps graphs…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Anjan Dutta , Pau Riba , Josep Lladós , Alicia Fornés

Ferrogels, i.e., hydrogels loaded with magnetic nanoparticles, have the ability to deform in external magnetic fields. The precise shape of deformation and the alignment of the gel in the field, however, depend on the interplay of several…

Soft Condensed Matter · Physics 2017-04-24 Rudolf Weeber , Christian Holm

Even though submicron silicon waveguides have been proposed for dense integration of photonic devices, to date the lightwave circuits on the market mainly rely on waveguides with micron-scale core dimensions. These larger waveguides feature…

The topological structure of the wavefunctions of particles in periodic potentials is characterized by the Berry curvature $\Omega_{kn}$ whose integral on the Brillouin zone is a topological invariant known as the Chern number. The…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

The core-level electronic structures of the exfoliated graphene sheets on a Au-coated SiOx substrate have been studied by synchrotron radiation photoelectron spectroscopy (SR-PES) on a micron-scale. The graphene was firstly demonstrated its…

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

There are many approaches to the classification of Morse functions and their gradient fields (Morse Fields) on 2-surfaces. This paper studies the gluings of quadrilaterals and the classification of topological surfaces obtained by gluing…

Geometric Topology · Mathematics 2023-08-04 Kostiantyn Cherkashyn

We have studied the modification in the Surface morphology of the Si(100) surfaces after 1.5 MeV Sb implantation. Scanning Probe Microscopy has been utilized to investigate the ion implanted surfaces. We observe the formation of nano-sized…

Materials Science · Physics 2009-11-11 S. Dey , D. Paramanik , V. Ganesan , S. Varma

Molecular dynamics (MD) simulations were performed to study the formation process of nanopores in a suspended graphene sheet irradiated by using energetic ions though a mask. By controlling the ion parameters including mass, energy and…

Mesoscale and Nanoscale Physics · Physics 2016-03-10 Weisen Li , Li Liang , Shijun Zhao , Shuo zhang , Jianming Xue

The geometry of two-dimensional crystalline membranes dictates their mechanical, electronic and chemical properties. The local geometry of a surface is determined from the two invariants of the metric and the curvature tensors. Here we…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Hamed Pour Imani , Mihajlo Vanević , Salvador Barraza-Lopez

In the present Ph.D. Thesis we report an experimental investigation on the effects of gamma- and beta-ray irradiation and of subsequent thermal treatment on many types of a-SiO2 materials, differing in the production methods, OH- and…

Other Condensed Matter · Physics 2007-11-27 G. Buscarino

The electronic band structure of graphene in the presence of spin-orbit coupling and transverse electric field is investigated from first principles using the linearized augmented plane-wave method. The spin-orbit coupling opens a gap at…

Materials Science · Physics 2013-05-29 M. Gmitra , S. Konschuh , C. Ertler , C. Ambrosch-Draxl , J. Fabian

The weak disorder potential seen by the electrons of a two-dimensional electron gas in high-mobility semiconductor heterostructures leads to fluctuations in the physical properties and can be an issue for nanodevices. In this paper, we show…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Gaëtan J. Percebois , Antonio Lacerda-Santos , Boris Brun , Benoit Hackens , Xavier Waintal , Dietmar Weinmann

In the Reverse Engineering and Hardware Assurance domain, a majority of the data acquisition is done through electron microscopy techniques such as Scanning Electron Microscopy (SEM). However, unlike its counterparts in optical imaging,…

Image and Video Processing · Electrical Eng. & Systems 2020-04-30 Ronald Wilson , Navid Asadizanjani , Domenic Forte , Damon L. Woodard

We exhibit a characteristic structure of the class of all regular graphs of degree d that stems from the spectra of their adjacency matrices. The structure has a fractal threadlike appearance. Points with coordinates given by the mean and…

Combinatorics · Mathematics 2007-08-30 V. Ejov , J. A. Filar , S. K. Lucas , P. Zograf

Scintillation spectra of some pulsars have suggested the existence of $\lesssim$ AU scale density structures in the ionized interstellar medium, whose astrophysical correspondence is still a mystery. The detailed study of Brisken et al.…

Astrophysics of Galaxies · Physics 2021-09-28 Xun Shi
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