MovieLens 10M

This bipartite network contains ten million movie ratings from http://movielens.umn.edu/. Left nodes are users and right nodes are movies. An edge between a user and a movie indicates that the user has rated the movie with the rating value attached to the edge.

Metadata

CodeM3
Internal namemovielens-10m_rating
NameMovieLens 10M
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 =80,555
Left size n1 =69,878
Right size n2 =10,677
Volume m =10,000,054
Wedge count s =40,053,435,221
Claw count z =192,388,462,626,632
Cross count x =992,182,227,743,663,616
Square count q =1,197,019,065,804
4-Tour count T4 =9,736,390,797,092
Maximum degree dmax =34,864
Maximum left degree d1max =7,359
Maximum right degree d2max =34,864
Average degree d =248.279
Average left degree d1 =143.107
Average right degree d2 =936.598
Fill p =0.013 403 3
Size of LCC N =80,555
Diameter δ =6
50-Percentile effective diameter δ0.5 =1.745 33
90-Percentile effective diameter δ0.9 =2.862 55
Median distance δM =2
Mean distance δm =2.390 74
Gini coefficient G =0.728 263
Balanced inequality ratio P =0.214 399
Left balanced inequality ratio P1 =0.280 829
Right balanced inequality ratio P2 =0.174 351
Relative edge distribution entropy Her =0.875 075
Power law exponent γ =1.223 83
Tail power law exponent γt =1.841 00
Degree assortativity ρ =−0.243 136
Degree assortativity p-value pρ =0.000 00
Spectral norm α =496.970
Algebraic connectivity a =0.015 709 5
Spectral separation |λ1[A] / λ2[A]| =1.240 89
Negativity ζ =0.453 414
Algebraic conflict ξ =0.947 072
Spectral signed frustration φ =0.000 953 637
Controllability C =59,515
Relative controllability Cr =0.738 812

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

Item rating evolution

Edge weight/multiplicity distribution

Temporal distribution

Diameter/density evolution

Signed temporal distribution

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.