MovieLens 100k

This bipartite network consists of 100,000 user–movie ratings from http://movielens.umn.edu/. Left nodes are users and right nodes are movies. An edge between a user and a movie represents a rating of the movie by the user.

Metadata

CodeM1
Internal namemovielens-100k_rating
NameMovieLens 100k
Data sourcehttp://www.grouplens.org/node/73
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Rating network
Node meaningUser, movie
Edge meaningRating
Network formatBipartite, undirected
Edge typeRatings, no multiple edges
Temporal data Edges are annotated with timestamps

Statistics

Size n =2,625
Left size n1 =943
Right size n2 =1,682
Volume m =100,000
Wedge count s =18,367,254
Claw count z =1,702,768,149
Cross count x =151,956,070,551
Square count q =220,548,028
4-Tour count T4 =1,838,200,228
Maximum degree dmax =737
Maximum left degree d1max =737
Maximum right degree d2max =583
Average degree d =76.190 5
Average left degree d1 =106.045
Average right degree d2 =59.453 0
Fill p =0.063 046 7
Size of LCC N =2,625
Diameter δ =5
50-Percentile effective diameter δ0.5 =2.245 03
90-Percentile effective diameter δ0.9 =3.422 10
Median distance δM =3
Mean distance δm =2.751 80
Gini coefficient G =0.597 836
Balanced inequality ratio P =0.275 130
Left balanced inequality ratio P1 =0.316 090
Right balanced inequality ratio P2 =0.259 320
Relative edge distribution entropy Her =0.926 887
Power law exponent γ =1.285 18
Tail power law exponent γt =1.991 00
Tail power law exponent with p γ3 =1.991 00
p-value p =0.000 00
Left tail power law exponent with p γ3,1 =1.771 00
Left p-value p1 =0.000 00
Right tail power law exponent with p γ3,2 =2.181 00
Right p-value p2 =0.000 00
Degree assortativity ρ =−0.215 721
Degree assortativity p-value pρ =0.000 00
Spectral norm α =57.801 5
Algebraic connectivity a =0.021 479 4
Spectral separation 1[A] / λ2[A]| =1.120 21
Negativity ζ =0.444 620
Controllability C =739
Relative controllability Cr =0.281 524

Plots

Fruchterman–Reingold graph drawing

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Delaunay graph drawing

Item rating evolution

Edge weight/multiplicity distribution

Temporal distribution

Temporal hop distribution

Diameter/density evolution

Signed temporal distribution

Rating class evolution

Inter-event distribution

Node-level inter-event distribution

Matrix decompositions plots

Downloads

References

[1] Jérôme Kunegis. KONECT – The Koblenz Network Collection. In Proc. Int. Conf. on World Wide Web Companion, pages 1343–1350, 2013. [ http ]
[2] GroupLens Research. MovieLens data sets. http://www.grouplens.org/node/73, October 2006.