Jester 150
This weighted network contains information about how users rated a total amount
of 150 jokes. Not every user rated every joke. Rating values are continuous
values between −10 and +10. An edge shows that a user has rated a joke. Left
nodes are users; right nodes are jokes.
Metadata
Statistics
Size | n = | 50,832
|
Left size | n1 = | 50,692
|
Right size | n2 = | 140
|
Volume | m = | 1,728,847
|
Wedge count | s = | 19,185,429,458
|
Claw count | z = | 220,017,686,996,709
|
Cross count | x = | 2,405,341,029,254,686,208
|
Square count | q = | 266,934,299,745
|
4-Tour count | T4 = | 2,212,223,162,138
|
Maximum degree | dmax = | 50,692
|
Maximum left degree | d1max = | 140
|
Maximum right degree | d2max = | 50,692
|
Average degree | d = | 68.022 0
|
Average left degree | d1 = | 34.104 9
|
Average right degree | d2 = | 12,348.9
|
Fill | p = | 0.243 607
|
Size of LCC | N = | 50,832
|
Diameter | δ = | 3
|
50-Percentile effective diameter | δ0.5 = | 1.500 45
|
90-Percentile effective diameter | δ0.9 = | 1.901 77
|
Median distance | δM = | 2
|
Mean distance | δm = | 2.000 89
|
Gini coefficient | G = | 0.737 569
|
Balanced inequality ratio | P = | 0.214 431
|
Left balanced inequality ratio | P1 = | 0.312 166
|
Right balanced inequality ratio | P2 = | 0.354 322
|
Relative edge distribution entropy | Her = | 0.759 472
|
Tail power law exponent | γt = | 1.881 00
|
Tail power law exponent with p | γ3 = | 1.881 00
|
p-value | p = | 0.000 00
|
Left tail power law exponent with p | γ3,1 = | 1.891 00
|
Left p-value | p1 = | 0.000 00
|
Right tail power law exponent with p | γ3,2 = | 8.341 00
|
Right p-value | p2 = | 0.000 00
|
Degree assortativity | ρ = | −0.492 637
|
Degree assortativity p-value | pρ = | 0.000 00
|
Spectral norm | α = | 1,863.19
|
Algebraic connectivity | a = | 2.215 21
|
Spectral separation | |λ1[A] / λ2[A]| = | 1.123 42
|
Negativity | ζ = | 0.445 897
|
Algebraic conflict | ξ = | 7.650 34
|
Spectral signed frustration | φ = | 0.028 117 1
|
Controllability | C = | 50,552
|
Relative controllability | Cr = | 0.994 492
|
Plots
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]
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Ken Goldberg, Theresa Roeder, Dhruv Gupta, and Chris Perkins.
Eigentaste: A constant time collaborative filtering algorithm.
Inf. Retrieval, 4(2):133–151, 2001.
|