I think this problem relates with the one in Information Retrieval of
"rank aggregation". In the following paper you can find an example
applied to group recommendation:
http://www.inf.unibz.it/~ricci/papers/fp14baltrunas.pdf
<http://www.inf.unibz.it/%7Ericci/papers/fp14baltrunas.pdf>
As Sean has explained, an average of the ratings is valid when the
ratings to be combined are in the same range, although probably Borda
count or the Spearman footrule are more common.
When that is not the case, a normalization step is required:
http://ciir.cs.umass.edu/pubfiles/ir242.pdf
A standard or ranksim normalization step should be OK.
Regards,
Alejandro
Sean Owen escribiÃ³:
> If the output of the recommenders are estimated ratings then they are
> comparable. You can take the union of all top N lists. Then ask each
> recommended for an estimated rating for each it did not score already.
> Average the ratings and rank on that or perhaps average minus standard
> deviation.
>
> Most recommenders based on rating do this. Those not based on rating don't
> and it is not necessarily true that values are meaningfully comparable.
> Then you would have to make up a comparable score based on rank. I would
> use .5 for first, .25 for second, etc. Then follow the process above.
>
> Sean
> On Sep 19, 2012 3:49 PM, "yamo93" <yamo93@gmail.com> wrote:
>
>
>> Hi,
>>
>> I try to make hybrid recommendations. So, I run different recommenders
>> (with different similarity algorithms) and I want to mix results (each algo
>> returns a list of recommended items). It seems to be known as Mixed Hybrid
>> in the Burke Taxonomy.
>>
>> I thought about a simple transposition in the range 0..1 for each list of
>> recommended items and to compute the average.
>>
>> But the results are not necessarily distributed linearly (by ex. Cosine)
>>
>> Which are the best math functions to do this ?
>>
>> Is there an existing impl. in mahout or in another framework ?
>>
>> Thanks for your help,
>> Yann.
>>
>>
>
>

Alejandro Bellogin Kouki
http://rincon.uam.es/dir?cw=435275268554687
