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SSimilarity

What this is

Runs a distributed computation of the cosine similarity of the item-vectors in a user-item matrix. This value can be used as the basis for an item-based recommendation system.

Benefits:

  • It's fully distributed
  • It handles string ids (unlike Mahout)
  • It's short: only about 300 lines of Scala code.

Prereq

  • Hadoop 0.20.x
  • Apache Buildr

How

bu clean package
rake clean default

Input

An user-item matrix:

       iPad  iPhone  VW
Nate     -      5     3
Jay      4      3     - 

The rating for the user must be between 1 (dislike) - 5 (like). Leave out a row which is "unrated" (-)

File format:

# (userId, itemId, prefVal)
Nate,iPhone,5
Nate,VW,5
Jay,iPad,4
Jay,iPhone,3

Phase 1: Create the item-vectors

# (itemId, userId, prefVal)
VW      Nate,5
iPad    Jay,4
iPhone  Nate,5|Jay,3

Phase 2: Compute the length of the item vectors, store it with the item, create the user-vectors

# (userId, (itemId, ivLength, prefVal) ...)
Jay     iPad,4.0,4.0|iPhone,5.830951,3.0
Nate    VW,5.0,5.0|iPhone,5.830951,5.0

Phase 3: Compute the pairwise cosine similarity for all item pairs that have been co-rated by at least n users

                              [1]         [2]
VW      iPhone  0.857492 # => 5.0 * 5.0 / (5.0 * 5.83)
iPad    iPhone  0.514495 # => 4.0 * 3.0 / (4.0 * 5.83) 

where [1] is the sum of the product of the co-rated pref values (dot product) and 
      [2] is the product of the vector lengths 

Phase 4 (optional): Generate stripes of each item with its list of similar items

This output allows you to easily give a recommendation for based on the key-item. Value-items are sorted in descending order by similarity..

VW      iPhone,0.8574929396603828
iPad    iPhone,0.5144957461491708
iPhone  VW,0.8574929396603828|iPad,0.5144957461491708

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Distributed item-to-item similarity calculation using Scala and Hadoop

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