Paper of the Week

'linear algebra' Category

• Discussion of LexRank by Erkan and Radev

  POTW 2/18/07: LexRank: Graph-based Lexical Centrality as Salience in Text Summarization
  The LexRank paper by Erkan and Radev is another PageRank/Graph Theory based approach to working with text, this time applied to the task of summarization.
  Key parts of sections 1 and 2 discuss the general problem of corpus-based summarization.  Unlike TextRank by Mihalcea, Erkan and Radev [...]

  February 22nd, 2007

• Remaining Sections of Kleinberg

  Sections 5 through 7 of Authoritative Sources in a Hyperlinked Environment cover some more applications of the hubs and authorities approach and then wraps up with the conclusion.
  Section 5 examines the quality of the authority measure by comparing the results achieved by running the Kleinberg algorithm against some of the searchable hierarchies that exist on [...]

  February 8th, 2007

• Computing Eigenvectors and Eigenvalues

  Help computing eigenvectors and eigenvalues is available at:
  Computing Eigenvectors and Eigenvalues
  linear algebra, eigenvalues, eigenvectors
  Technorati Tags: linear algebra, eigenvalues, eigenvectors

  February 8th, 2007

• Discussion of Sections 1 -4 of Kleinberg

  For the week of Feb. 4, 2007, we are discussing Authoritative Sources in a Hyperlinked Environment, with today’s posting focused on sections 1 through 4.  This paper really has some meat on it and I found myself having to reread sections and even dig out my old Linear Algebra text.
  As is typical of most academic [...]

  February 7th, 2007