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ICALP
2010
Springer
13 years 9 months ago
The Positive Semidefinite Grothendieck Problem with Rank Constraint
Given a positive integer n and a positive semidefinite matrix A = (Aij ) ∈ Rm×m the positive semidefinite Grothendieck problem with rank-nconstraint is (SDPn) maximize mX i=1 ...
Jop Briët, Fernando Mário de Oliveira ...
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 5 months ago
Grothendieck inequalities for semidefinite programs with rank constraint
Grothendieck inequalities are fundamental inequalities which are frequently used in many areas of mathematics and computer science. They can be interpreted as upper bounds for the ...
Jop Briët, Fernando Mário de Oliveira ...
SODA
2010
ACM
149views Algorithms» more  SODA 2010»
14 years 2 months ago
Sharp kernel clustering algorithms and their associated Grothendieck inequalities
abstract Subhash Khot Assaf Naor In the kernel clustering problem we are given a (large) n ? n symmetric positive semidefinite matrix A = (aij) with n i=1 n j=1 aij = 0 and a (sma...
Subhash Khot, Assaf Naor
MOR
2008
109views more  MOR 2008»
13 years 4 months ago
A Unified Theorem on SDP Rank Reduction
We consider the problem of finding a low
Anthony Man-Cho So, Yinyu Ye, Jiawei Zhang
SIAMJO
2010
100views more  SIAMJO 2010»
12 years 11 months ago
Explicit Sensor Network Localization using Semidefinite Representations and Facial Reductions
The sensor network localization, SNL , problem in embedding dimension r, consists of locating the positions of wireless sensors, given only the distances between sensors that are ...
Nathan Krislock, Henry Wolkowicz