Results 91 to 100 of about 18,314 (299)

Toward Intelligent Multimodal Holography for Real‐Time Chemical Imaging of Dynamic Ion Separation

open access: yesAdvanced Intelligent Discovery, EarlyView.
Intelligent multimodal holography integrates digital off‐axis holography, spectroscopic imaging, and AI‐driven reconstruction to visualize ion transport and chemical dynamics in real time. In this perspective paper, we outline how this approach enables label‐free, chemically specific monitoring of complex environments and discuss its potential to ...
Giovanna Ricchiuti   +3 more
wiley   +1 more source

On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

open access: yesJournal of New Theory, 2018
We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar   +1 more
doaj  

Laplacian Energy and Eccentricity Based Energy for Cross Monic Zero Divisor Graph Associated With Commutative Rings

open access: yesمجلة بغداد للعلوم
For a commutative ring, a cross monic zero divisor graph is discussed, whose vertices are nonzero zero divisors of the commutative ring, then the two vertices x and y are adjacent if and only if xy = 0.
Sarathy Raja, Ravi Sankar Jeyaraj
doaj   +1 more source

Matrix Tree Theorem for the Net Laplacian Matrix of a Signed Graph [PDF]

open access: yes, 2022
For a simple signed graph G with the adjacency matrix A and net degree matrix D±, the net Laplacian matrix is L± = D±−A. We introduce a new oriented incidence matrix N± which can keep track of the sign as well as the orientation of each edge of G. Also L±
Mallik, Sudipta
core  

From Data to Discovery: Machine Learning–Enabled Intelligent Characterization of Two‐Dimensional Materials

open access: yesAdvanced 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
wiley   +1 more source

On minors of the compound matrix of a Laplacian

open access: yesLinear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The Laplacian matrix of a graph [PDF]

open access: yes, 1995
This paper is a study of the various matrices associated with graphs. In Chapter 1, the relationship between the Laplacian matrix and the Incidence matrix is explored. The Matrix-Tree Theorem (MTT) is stated here. One of the main objectives of this paper
Amar, Alka
core   +1 more source

An Integrated and Robust Deep Learning Framework for Denoising and Analyzing Single‐Cell Spatial Transcriptomics

open access: yesAdvanced Intelligent Systems, EarlyView.
Single‐cell Spatial Transcriptomics Analysis and Denoising Engine is introduced as a unified deep learning framework that jointly performs denoising, clustering, and gene prioritization in spatial transcriptomics. By integrating linear and nonlinear representations within a dual‐channel architecture, it improves robustness and accuracy, uncovers ...
Yaxuan Cui   +11 more
wiley   +1 more source

Universal Adjacency Matrices with Two Eigenvalues [PDF]

open access: yes
AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Omidi, G.R., Haemers, W.H.
core   +1 more source

Robust Representation Learning for Clean Feature Discovery in Incomplete Multi‐View Clustering

open access: yesAdvanced Intelligent Systems, EarlyView.
Robust feature discovery in incomplete multi‐view clustering is achieved by coupling RPCA‐based clean representation recovery with neural‐network‐assisted graph learning. The resulting RIMVC framework constructs cleaner and more discriminative graph‐structured representations from incomplete and noisy multi‐view data, improving clustering robustness ...
Ping Hu   +4 more
wiley   +1 more source

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