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Updated: September 10th, 2024 05:03

2023 article

Relations Between Adjacency and Modularity Graph Partitioning

*ADVANCES IN KNOWLEDGE DISCOVERY AND DATA MINING, PAKDD 2023, PT II*, Vol. 13936, pp. 189–200.

author keywords: Spectral clustering; Graph partitioning; Adjacency matrix; Modularity matrix

Source: Web Of Science

Added: September 9, 2024

2017 journal article

Rank My Update, Please

*AMERICAN MATHEMATICAL MONTHLY*, *125*(1), 61–64.

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Continuity of the Perron root

*LINEAR & MULTILINEAR ALGEBRA*, *63*(7), 1332–1336.

author keywords: nonnegative matrices; Perron-Frobenius theory; Perron root; 1502; 15B48; 15A18

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2012 journal article

STOCHASTIC DATA CLUSTERING

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *33*(4), 1214–1236.

author keywords: cluster analysis; Markov chains; Simon-Ando theory

TL;DR:
A technique for using the evolution of the system to tell us about its initial structure is developed, and this technique is used to develop an algorithm that takes the varied solutions from multiple data clustering algorithms to arrive at a singleData clustering solution.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2012 article

Who's #1?

Langville, A. N., & Meyer, C. D. (2012, July). *SCIENTIFIC AMERICAN*, Vol. 307, pp. 21–21.

Source: Web Of Science

Added: August 6, 2018

2006 journal article

A reordering for the PageRank problem

*SIAM JOURNAL ON SCIENTIFIC COMPUTING*, *27*(6), 2112–2120.

author keywords: Markov chains; PageRank; reorderings; power method; convergence; stationary vector; dangling nodes

TL;DR:
Results of an experimental comparison are presented, which demonstrate that the reordered PageRank algorithm can provide a speedup of as much as a factor of 6.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2006 book

Google's PageRank and beyond: The science of search engine rankings

UN Sustainable Development Goal Categories

4. Quality Education
(OpenAlex)

Source: NC State University Libraries

Added: August 6, 2018

2006 journal article

Updating Markov chains with an eye on Google's PageRank

*SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS*, *27*(4), 968–987.

author keywords: Markov chains; updating; stationary vector; PageRank; stochastic complementation; aggregation/disaggregation; Google

TL;DR:
An iterative algorithm based on aggregation/disaggregation principles is presented for updating the stationary distribution of a finite homogeneous irreducible Markov chain and it is proven that the algorithm is globally convergent.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2005 journal article

A survey of eigenvector methods for Web information retrieval

*SIAM REVIEW*, *47*(1), 135–161.

author keywords: eigenvector; Markov chain; information retrieval; HITS; PageRank; SALSA

TL;DR:
This survey paper focuses on Web information retrieval methods that use eigenvector computations, presenting the three popular methods of HITS, PageRank, and SALSA.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2004 journal article

Deeper Inside PageRank

*Internet Mathematics*, *1*(3), 335–380.

Source: Crossref

Added: August 28, 2020

2004 journal article

Injective properties of complex matrices

*American Mathematical Monthly*, *111*(8), 728.

Source: NC State University Libraries

Added: August 6, 2018

2003 journal article

Eudoxus meets Cayley

*AMERICAN MATHEMATICAL MONTHLY*, *110*(10), 912–927.

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Comparison of perturbation bounds for the stationary distribution of a Markov chain

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *335*, 137–150.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Markov chain sensitivity measured by mean first passage times

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *316*(1-3), 21–28.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 book

Matrix analysis and applied linear algebra

Philadelphia: Society for Industrial and Applied Mathematics.

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

On the structure of stochastic matrices with a subdominant eigenvalue near 1

*LINEAR ALGEBRA AND ITS APPLICATIONS*, *272*, 193–203.

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1998 journal article

The idea behind Krylov methods

*AMERICAN MATHEMATICAL MONTHLY*, *105*(10), 889–899.

Source: Web Of Science

Added: August 6, 2018

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