"Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming" - Information and Links:

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"Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming" and the language of the book is English.


“Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming” Metadata:

  • Title: ➤  Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming
  • Author:
  • Language: English

Edition Identifiers:

  • Internet Archive ID: ➤  Microsoft_Research_Audio_118377

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"Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming" Description:

The Internet Archive:

<p>Linear and Semidefinite programs provide the best approximation algorithms for many NP-hard combinatorial optimization problems. This talk will introduce recent techniques to give unconditional lower bounds for algorithms based on Linear and Semidefinite programs (LPs and SDPs, respectively). In particular, I will define and give background about LP and SDP hierarchies, which include a large class of SDPs and LPs including the most famous SDP algorithms (which occur very low in the hierarchy). I will then sketch two lower bounds for these hierarchies. The first result shows that a large class of linear programs (generated by the Lovasz-Schrijver hierarchy) requires exponential time to approximate Vertex Cover to better than a factor of 2-epsilon. The second result shows that a large class of semidefinite programs (generated by the Lasserre hierarchy) requires exponential time to refute a random 3-XOR instance (even though such an instance is very far from satisfiable). As a corollary, the same class requires exponential time to approximate Vertex Cover to better than a factor of 7/6-epsilon. This result is the first construction of a Lasserre integrality gap, and simplifies, strengthens, and helps to explain several previous results.</p>

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"Microsoft Research Audio 118377: Understanding The Limitations Of Linear And Semidefinite Programming" is available for download from The Internet Archive in "audio" format, the size of the file-s is: 51.74 Mbs, and the file-s went public at Wed Dec 02 2015.

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  • Added Date: 2015-12-02 23:54:41

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