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Private Distributed Collaborative Filtering Using Estimated Concordance Measures Neal Lathia Dr. Stephen Hailes Dr. Licia Capra Department of Computer Science University College London [email_address]
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],what should I buy?
problem: i need  recommendations: peer-to-peer distributed
solution: distributed collaborative filtering a b c d 4 3 3 ? a b c d 4 ? 3 4 Step 1 : Profile Similarity (Correlation) Step 2 : k-Nearest Neighbours Step 3 : Recommendation Aggregation similarity
problem: who do you  trust? thief? uncooperative? spammer?
problem: who do you  trust? how do we bootstrap cooperation   when we do not know how much to trust the community? solution: estimate profile similarity with privacy
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
privacy… …  the right to be  left alone
privacy… …  the right to  control the flow of your personal information
private information a b c d 4 ? 3 4 A  rating   r a,i  by user  a  for item  i The  full set of ratings   r a  for user  a The  mean rating   r mean  of user  a The  number of items  user  a has rated
public information total number of  items a recommendation context: collaboration:
but even if we did trust some people… … similarity measures are not transitive ? privacy
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
concordance: definition define : d a,i  = r a,i  -  r mean measure  similarity  according to proportion of  agreement: classify ratings into one of  three groups
concordance: definition concordant : we agree (C) discordant : we  dis agree (D) tied : one of us has  no opinion  (T) +1 +3 -2.7 +1.5
concordance: definition measure  similarity  according to proportion of  agreement: somers’ d:
accuracy coverage vs. compare performance using  netflix  data subset
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
concordance-based similarity: … agreement is transitive! ? concordant discordant privacy
concordance-based similarity: … agreement is transitive! discordant concordant discordant privacy
concordance-based similarity: … agreement is transitive! ? discordant discordant privacy
concordance-based similarity: … agreement is transitive! concordant discordant discordant privacy
transitivity of concordance: result D T T T T T T T C C C C D D D
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
private collaborate filtering: the idea a b c d 4 3 3 ? a b c d 4 ? 3 4 a b c d 5 3 2 4 C, D, T C, D, T C, D, T
private collaborate filtering: the idea a b c d 4 3 3 ? a b c d 4 ? 3 4 a b c d 5 3 2 4 C, D, T estimate similarity by upper/lower bounds of overlap (full details in paper)
does this preserve privacy? ,[object Object],a b c d 4 3 3 4 a b c d 5 3 2 4 C C C C solution?  collaboratively  create  random set
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
evaluation ,[object Object],How well does this method  estimate  the actual coefficients? How well do estimated coefficients work to  generate recommendations ? on all datasets? 1) 2) inputs: sparsity, size
sparsity effect – size effect
evaluation: Highest error when dataset is:  small  and  very sparse How well do estimated coefficients work to  generate recommendations ? 2) return to the netflix dataset..
accuracy -- coverage
outline ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
future work ,[object Object],analysis of the  effect of correlation coefficients  on communities of recommenders … towards trust-based distributed recommender systems
Private Distributed Collaborative Filtering using Estimated Concordance Measures Neal Lathia Dr. Stephen Hailes Dr. Licia Capra Department of Computer Science University College London [email_address] related work, research:  mobblog.cs.ucl.ac.uk

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