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One of the first steps in applications of statistical network analysis is frequently to produce summary charts of important features of the network. Many of these features take the form of sequences of graph statistics counting the number…

Statistics Theory · Mathematics 2025-02-14 Jonathan R. Stewart

Edge perturbation is a basic method to modify graph structures. It can be categorized into two veins based on their effects on the performance of graph neural networks (GNNs), i.e., graph data augmentation and attack. Surprisingly, both…

Machine Learning · Computer Science 2024-03-14 Xin Liu , Yuxiang Zhang , Meng Wu , Mingyu Yan , Kun He , Wei Yan , Shirui Pan , Xiaochun Ye , Dongrui Fan

We study transfer learning for estimation in latent variable network models. In our setting, the conditional edge probability matrices given the latent variables are represented by $P$ for the source and $Q$ for the target. We wish to…

Machine Learning · Computer Science 2024-06-07 Akhil Jalan , Arya Mazumdar , Soumendu Sundar Mukherjee , Purnamrita Sarkar

We report the first observation of the microwave-induced intersubband (Rydberg) resonance in the surface-bound electrons on superfluid helium confined in a single 4-$\mu$m deep channel. The resonance signal from a few thousand of surface…

Strongly Correlated Electrons · Physics 2022-06-22 Shan Zou , Sebastian Grossenbach , Denis Konstantinov

Unevenly spaced samples from a periodic function are common in signal processing and can often be viewed as a perturbed equally spaced grid. In this paper, we analyze how the uneven distribution of the samples impacts the quality of…

Numerical Analysis · Mathematics 2023-04-11 Annan Yu , Alex Townsend

With the rapid advancement in cyber-physical systems, the increasing number of sensors has significantly complicated manual monitoring of system states. Consequently, graph-based time-series anomaly detection methods have gained attention…

Machine Learning · Computer Science 2024-01-26 Hayoung Jo , Seong-Whan Lee

We strengthen the connections between electrical transformations and homotopy from the planar setting---observed and studied since Steinitz---to arbitrary surfaces with punctures. As a result, we improve our earlier lower bound on the…

Computational Geometry · Computer Science 2019-03-27 Hsien-Chih Chang , Marcos Cossarini , Jeff Erickson

Synchronisation of parallel grid-forming inverters is crucial for stable operation of future power systems. This includes accurate and robust reactive power sharing under realistic operating conditions such as impedance mismatch and…

Systems and Control · Electrical Eng. & Systems 2026-03-25 E. D. Gomez Anccas , E. A. MacPherson , J. Tegeler , K. Röbert , M. Fischer , C. A. Hans , D. Schulz

A new technique for obtaining switched wave packets using spectrally truncated chirped laser pulses is demonstrated experimentally and numerically by one-dimensional alignment of both linear and asymmetric top molecules. Using a simple…

This paper deals with the balanced truncation model reduction of discrete-time, linear time-varying, heterogeneous subsystems interconnected over finite arbitrary directed graphs. The information transfer between the subsystems is subject…

Optimization and Control · Mathematics 2017-08-15 Dany Abou Jaoude , Mazen Farhood

We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouples edges at even degree vertices; a comparison is made to the…

Mathematical Physics · Physics 2024-09-06 Pavel Exner , Jan Pekař

Exploiting two interfering fields which are initially in the same temporal mode but with the spectra altered by propagating through different fibers, we characterize how the spectra of temporal modes changes with the fiber induced…

Optics · Physics 2022-01-03 Wen Zhao , Nan Huo , Liang Cui , Xiaoying Li , Z. Y. Ou

McKay proved that the limiting spectral measures of the ensembles of $d$-regular graphs with $N$ vertices converge to Kesten's measure as $N\to\infty$. In this paper we explore the case of weighted graphs. More precisely, given a large…

Probability · Mathematics 2013-07-01 Leo Goldmakher , Cap Khoury , Steven J. Miller , Kesinee Ninsuwan

We study the inverse problem for a semilinear wave equation on metric tree graphs. From the Dirichlet-to-Neumann map defined at all but one of the boundary vertices, we recover unknown connectivity of the graph, lengths of the edges, the…

Analysis of PDEs · Mathematics 2026-03-30 Sergei Avdonin , Matti Lassas , Jinpeng Lu , Medet Nursultanov , Lauri Oksanen

We study topologically-protected four-wave mixing (FWM) interactions in a plasmonic metasurface consisting of a periodic array of nanoholes in a graphene sheet, which exhibits a wide topological bandgap at terahertz frequencies upon the…

Optics · Physics 2020-04-07 Jian Wei You , Zhihao Lan , Nicolae C. Panoiu

In this article, we report, for the first time, broadband multifunctional metasurfaces with more than four distinct functionalities. The constituent meta-atoms combine two different phase change materials, $\mathrm{VO_2}$ and…

We study spin-wave transport in a microstructured Ni81Fe19 waveguide exhibiting broken translational symmetry. We observe the conversion of a beam profile composed of symmetric spin-wave width modes with odd numbers of antinodes n=1,3,...…

Mesoscale and Nanoscale Physics · Physics 2012-12-17 P. Clausen , K. Vogt , H. Schultheiss , S. Schäfer , B. Obry , G. Wolf , P. Pirro , B. Leven , B. Hillebrands

We consider the economic dispatch (ED) for an Energy Internet composed of energy routers (ERs), interconnected microgrids and main grid. The microgrid consists of several bus nodes associated with distributed generators (DGs) and…

Systems and Control · Computer Science 2019-06-18 Wushun Chen , Tao Li

We present experimental results on eigenfunctions of a wave chaotic system in the continuous crossover regime between time-reversal symmetric and time-reversal symmetry-broken states. The statistical properties of the eigenfunctions of a…

Given a set of snapshots from a temporal network we develop, analyze, and experimentally validate a so-called network interpolation scheme. Our method allows us to build a plausible, albeit random, sequence of graphs that transition between…

Social and Information Networks · Computer Science 2021-02-22 Thomas Reeves , Anil Damle , Austin R. Benson
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