ML20M Data Description – LensKit Codex

Rating Statistics

Ratings	20,000,263
Users	138,493
Items	26,744
Density	0.540%
Item Gini	0.903
Start Date	1995-01-09 11:46:44
End Date	2015-03-31 06:40:02

Item Statistics

This section describes the distribution of various item statistics from the data set.

Item Popularity

What is the distribution of popularity?

Let’s also look at this as a Lorenz curve, for clarity:

We’ll now fit a distribution.

[distfit] >INFO> fit
[distfit] >INFO> transform
[distfit] >INFO> [pareto  ] [0.00 sec] [RSS: 0.000310844] [loc=0.511 scale=0.489]
[distfit] >INFO> [powerlaw] [0.01 sec] [RSS: 0.000901913] [loc=1.000 scale=67309.000]
[distfit] >INFO> [expon   ] [0.00 sec] [RSS: 0.00118941] [loc=1.000 scale=746.841]
[distfit] >INFO> [lognorm ] [0.02 sec] [RSS: 0.00101221] [loc=1.000 scale=0.120]
[distfit] >INFO> [pareto  ] [0.04 sec] [RSS: 0.000310844] [loc=0.511 scale=0.489]
[distfit] >INFO> [powerlaw] [0.04 sec] [RSS: 0.000901913] [loc=1.000 scale=67309.000]
[distfit] >INFO> [expon   ] [0.02 sec] [RSS: 0.00118941] [loc=1.000 scale=746.841]
[distfit] >INFO> [lognorm ] [0.02 sec] [RSS: 0.00101221] [loc=1.000 scale=0.120]
[distfit] >INFO> Compute confidence intervals [parametric]

Summary of fits:

	name	score	loc	scale	arg
0	pareto	0.000311	0.511316	0.488684	(0.2562068171214625,)
1	powerlaw	0.000902	1.0	67309.0	(0.07494802059946808,)
2	lognorm	0.001012	1.0	0.119722	(14.36541422380245,)
3	expon	0.001189	1.0	746.841123	()