Results 41 to 50 of about 537,689 (239)
Boundary Asymptotic and Uniqueness of Solution for a Problem with p(x)-Laplacian
Journal of Inequalities and Applications, 2008 The goal of this paper is to prove the boundary asymptotic behavior of solutions for weighted p(x)-Laplacian equations that take infinite value on a bounded domain.
Ionel Rovenţa
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
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The \(\mathscr{G}\)-average of adjacency and Laplacian polynomials of a graph
The American Journal of CombinatoricsLet \(\mathscr{G}\) be a finite multiplicative group of quaternion unit \(U(\mathbb{H})\). The \(\mathscr{G}\)-average of adjacency (resp., Laplacian) polynomial of a graph \(G\) is defined as the arithmetic mean of the characteristic polynomials of
Yaoping Hou, Wenjun Xie
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Composition‐Aware Cross‐Sectional Integration for Spatial Transcriptomics
Advanced Intelligent Discovery, EarlyView.Multi‐section spatial transcriptomics demands coherent cell‐type deconvolution, domain detection, and batch correction, yet existing pipelines treat these tasks separately. FUSION unifies them within a composition‐aware latent framework, modeling reads as cell‐type–specific topics and clustering in embedding space.
Qishi Dong +5 more
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Robust Graph Neural Networks using Weighted Graph Laplacian [PDF]
, 2022 Graph neural network (GNN) is achieving remarkable performances in a variety of application domains. However, GNN is vulnerable to noise and adversarial attacks in input data.
Runwal, Bharat, Vivek, Kumar, Sandeep
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Path Laplacians versus fractional Laplacians as nonlocal operators on networks
New Journal of Physics, 2021 Here we study and compare nonlocal diffusion processes on networks based on two different kinds of Laplacian operators. We prove that a nonlocal diffusion process on a network based on the path Laplacian operator always converges faster than the standard
Ernesto Estrada
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Advanced Intelligent Discovery, EarlyView.Machine learning serves as a central engine for the intelligent characterization of two‐dimensional materials by integrating multimodal techniques, including optical microscopy, spectroscopy, electron microscopy, and scanning probe microscopy (SPM). This unified framework enables automated, high‐throughput, and quantitative extraction of structural ...
Zhi‐Long Cao, Jia‐Xu Yan
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Mountain pass solution for the weighted Dirichlet ( p ( z ) , q ( z ) ) $(p(z),q(z))$ -problem
Boundary Value Problems, 2022 We consider the Dirichlet boundary value problem for equations involving the ( p ( z ) , q ( z ) ) $(p(z),q(z))$ -Laplacian operator in the principal part on an open bounded domain Ω ⊂ R n $\Omega \subset \mathbb{R}^{n}$ .
Nadiyah Hussain Alharthi +2 more
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Resonant nonlinear periodic problems with the scalar p-Laplacian and a nonsmooth potential [PDF]
, 2006 We study periodic problems driven by the scalar p-Laplacian with a nonsmooth potential. Using the nonsmooth critical point theory for locally Lipsctiz functions,we prove two existence theorems under conditions of resonance at infinity with respect to ...
Staicu, Vasile +6 more
core
Advanced Intelligent Systems, EarlyView.A scalable distributed observer framework for LiDAR sensor networks is presented for robust tracking and pose estimation of mobile robots. By combining adaptable 3D detection, clustering‐based communication reduction, and intermittent inertial fusion, accurate and efficient estimation is achieved under occlusions and sensing constraints, with formally ...
Isabella Luppi, Ehsan Hashemi
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