offdefnt {raincin}

Kleinberg's HITS algorithm for Rating and Ranking with Rectangular Matrix

Description

Calculate ratings and provide rankings using Kleinberg's HITS algorithm, using a rectangular matrix for score matrix (judege-presenter)

Usage

offdefnt(
  jpMat,
  method = "hitsjp",
  totalsupporteps = 0,
  numiter = 100,
  ties.method = "average"
)

Arguments

jpMat

a Judge-Presenter matrix, or a User-Movie matrix

method

a character string specifying the HITS algorithm, including "hitsjp".

totalsupporteps

a small number to guarantee the total support property

numiter

a number of iterations

ties.method

a character string specifying how ties are treated, including "average", "first", "last", "random", "max", "min", from base::rank

Details

movie i is good and deserves a high rating mi if it gets high ratings from good (discriminating ) users. Similarly, user j is good and serves a high rating hj when his or her ratings match the true ratings of the movies.

1. hitsjp: HITS, using judge-presenter matrix, equivalent to offdefsc

2. offdefnt: Offense-Defense rating method, using judge-presenter matrix

Author(s)

Jiangtao Gou

References

Gou, J. and Wu, S. (2020). A Judging System for Project Showcase: Rating and Ranking with Incomplete Information. Technical Report.

Kleinberg, J. M. (1999). Authoritative sources in a hyperlinked environment. Journal of the ACM 46, 604-632.

Langville, A. N. and Meyer, C. D. (2012). Who's Number 1?: The Science of Rating and Ranking. Princeton University Press.

Examples

jpMat <- matrix(data=c(5,4,3,0, 5,5,3,1, 0,0,0,5, 0,0,2,0, 4,0,0,3, 1,0,0,4),nrow=6,byrow=TRUE)
method <- 'hitsjp'
totalsupporteps <- 0.01
numiter <- 10
ties.method <-'average'
result <- offdefnt(jpMat, method, totalsupporteps, numiter, ties.method)
print(result)