Lecture 22 — November 5 , 2013

نویسندگان

  • Jelani Nelson
  • Abdul Wasay
  • Yun William Yu
چکیده

This is sometimes called the Netflix problem. A motivation for the matrix completion problem comes from user ratings of some products which are put into a matrix M . The entries Mij of the matrix correspond to the j’th user’s rating of product i. We assume that there exists an ideal matrix that encodes the ratings of all the products by all the users. However, it is not possible to ask every user his opinion about every product. We are only given some ratings of some users and we want to recover the actual ideal matrix M from this limited data. So matrix completion is the following problem: Problem: Suppose you are given some matrix M ∈ Rn1×n2 . Moreover, you also are given some entries (Mij)ij∈Ω with |Ω| n1n2. Goal: We want to recover the missing elements in M .

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تاریخ انتشار 2015