Closed osorensen closed 5 months ago
It is sufficient to check if the directed graph of pairwise preferences is acyclic (if it is a DAG -directed acyclic graph - then the preferences are consistent). I think that in the igraph package there's a function which does exactly this: is_dag.
Il giorno ven 15 mar 2024 alle ore 15:42 Øystein Sørensen < @.***> ha scritto:
Currently with existing users providing updated preferences, all are treated as inconsistent. Fix this be writing a function which checks for consistency.
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Thanks! But I'm not sure we're talking about the same thing. I'm thinking of the SMC methodology, where an existing user may provide additional pairwise preferences at some time t. The thing I want to check is if the augmented ranking from time t-1 for this user is consistent with the pairwise preferences at time t.
For partial rankings this is quite straightforward, cf. screenshot below from Anja Stein's PhD:
It's not too hard, but has to be implemented. I think this algorithm will do the job (sorry about the notation):
Ah ok. I was understanding that we wanted to check if the pairwise preferences at time t were consistent with the pairwise preferences at time t-1.. This would be easy with is_dag
Il giorno ven 15 mar 2024 alle ore 15:57 Øystein Sørensen < @.***> ha scritto:
It's not too hard, but has to be implemented. I think this algorithm will do the job (sorry about the notation): image.png (view on web) https://github.com/ocbe-uio/BayesMallows/assets/21175639/91fb4061-4545-4f83-a2e7-bc0cbe621ee3
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Currently with existing users providing updated preferences, all are treated as inconsistent. Fix this be writing a function which checks for consistency.