Title
Open problem: Tightness of maximum likelihood semidefinite relaxations.
Abstract
We have observed an interesting, yet unexplained, phenomenon: Semidefinite programming (SDP) based relaxations of maximum likelihood estimators (MLE) tend to be tight in recovery problems with noisy data, even when MLE cannot exactly recover the ground truth. Several results establish tightness of SDP based relaxations in the regime where exact recovery from MLE is possible. However, to the best of our knowledge, their tightness is not understood beyond this regime. As an illustrative example, we focus on the generalized Procrustes problem.
Year
Venue
DocType
2014
COLT
Conference
Volume
Citations 
PageRank 
abs/1404.2655
4
0.43
References 
Authors
7
3
Name
Order
Citations
PageRank
Afonso S. Bandeira152130.13
Yuehaw Khoo2326.04
A. Singer369552.77