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» Bounds on the size of branch-and-bound proofs for integer kn...
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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 2 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
CORR
2011
Springer
158views Education» more  CORR 2011»
13 years 6 days ago
SqFreeEVAL: An (almost) optimal real-root isolation algorithm
Let f be a univariate polynomial with real coefficients, f ∈ R[X]. Subdivision algorithms based on algebraic techniques (e.g., Sturm or Descartes methods) are widely used for is...
Michael Burr, Felix Krahmer
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 9 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
STOC
2009
ACM
160views Algorithms» more  STOC 2009»
14 years 5 months ago
CSP gaps and reductions in the lasserre hierarchy
We study integrality gaps for SDP relaxations of constraint satisfaction problems, in the hierarchy of SDPs defined by Lasserre. Schoenebeck [25] recently showed the first integra...
Madhur Tulsiani