a vector x satisfying an equation Ax = λx, where A is a square matrix and λ is a constant
Examples of 'eigenvector' in a sentence
eigenvector
We measure peers' popularity by their eigenvector centrality in high school social networks.
Juan David Robalino, Michael Macy 2018, 'Peer effects on adolescent smoking: Are popular teens more influential?', PLOS ONE10.1371/journal.pone.0189360. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Eigenvector centrality can be used on a variety of different similarity metrics.
Gabriele Lohmann, Daniel S. Margulies, Annette Horstmann, Burkhard Pleger, JoeranLepsien, Dirk Goldhahn, Haiko Schloegl, Michael Stumvoll, Arno Villringer, RobertTurner 2010, 'Eigenvector Centrality Mapping for Analyzing Connectivity Patterns in fMRI Data ofthe Human Brain', PLoS ONE10.1371/journal.pone.0010232. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Following this perspective, different centrality measures naturally emerge, including degree, eigenvector, and hub-authority centrality.
Carla Sciarra, Guido Chiarotti, Francesco Laio, Luca Ridolfi 2018, 'A change of perspective in network centrality', Scientific Reportshttp://link.springer.com/article/10.1038/s41598-018-33336-8. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Potentially essential proteins with low node degree are promoted through eigenvector centrality.
Divya Mistry, Roger P Wise, Julie A Dickerson 2017, 'DiffSLC: A graph centrality method to detect essential proteins of a protein-proteininteraction network.', PLoS ONEhttp://europepmc.org/articles/PMC5679606?pdf=render. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Eigenvector centrality considers nodes connected to other high degree nodes as highly central.
Karen E Joyce, Paul J Laurienti, Jonathan H Burdette, Satoru Hayasaka 2010, 'A new measure of centrality for brain networks.', PLoS ONEhttp://europepmc.org/articles/PMC2922375?pdf=render. Retrieved from PLOS CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Model-based decompositions achieved higher performance with respect to eigenvector-based decompositions in terms of class-based accuracies.
Mustafa Ustuner, Fusun Balik Sanli 2019, 'Polarimetric Target Decompositions and Light Gradient Boosting Machine for Crop Classification:A Comparative Evaluation', ISPRS International Journal of Geo-Informationhttps://www.mdpi.com/2220-9964/8/2/97. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The most connected individuals (high degree centrality) were also the most influential (high eigenvector centrality).
Thomas A. Odeny, Maya Petersen, Charles T. Muga, Jayne Lewis-Kulzer, Elizabeth A.Bukusi, Elvin H. Geng 2017, 'Rapid sociometric mapping of community health workers to identify opinion leadersusing an SMS platform: a short report', Implementation Sciencehttp://link.springer.com/article/10.1186/s13012-017-0611-y. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Methods for computing eigenvector derivatives for arbitrarily normalized modes are derived.
B.P. Wang 1994, 'Eigensolution Derivatives for Arbitrarily Normalized Modes', Shock and Vibrationhttp://dx.doi.org/10.3233/SAV-1994-1409. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
We employ spatial-based multivariate ordination approaches, hierarchical clustering and spatial eigenvector analysis.
Hafiz Sohaib Ahmed Saqib, Minsheng You, Geoff M. Gurr 2017, 'Multivariate ordination identifies vegetation types associated with spider conservationin brassica crops', PeerJhttps://peerj.com/articles/3795.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)