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Network Completion and Survey Sampling

Network Completion and Survey Sampling. Steve Hanneke and Eric P. Xing Machine Learning Department Carnegie Mellon University. The Task. I know the vertices, but what does the network look like?. Infer what the rest of the network looks like. Send out some random surveys.

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Network Completion and Survey Sampling

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  1. Network Completion and Survey Sampling Steve Hanneke and Eric P. Xing Machine Learning Department Carnegie Mellon University

  2. The Task I know the vertices, but what does the network look like? Infer what the rest of the network looks like. Send out some random surveys Survey:“Who are you linked to?” Want a bound on number of pairs with incorrect predictions.

  3. Outline • Notation • A Tight Bound • Relaxations of the bound • An Example

  4. Notation

  5. A Tight Bound

  6. A Tight Bound • The max in FT might be computationally hard (open problem) • Difficult to intuitively understand the behavior • So we’d like to relax the bound

  7. Relaxing the Bound

  8. Relaxing the Bound

  9. Relaxing the Bound

  10. Proof

  11. Example

  12. Example

  13. Conclusions • In theory, can confidently learn a network topology from survey samples • Need a fairly strong learning bias • Future: Extensions to Snowball Sampling?

  14. Thanks

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