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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 6 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
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
15 years 4 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio
ICALP
2010
Springer
15 years 2 months ago
Automata for Coalgebras: An Approach Using Predicate Liftings
Universal Coalgebra provides the notion of a coalgebra as the natural mathematical generalization of state-based evolving systems such as (infinite) words, trees, and transition s...
Gaëlle Fontaine, Raul Andres Leal, Yde Venema
JACM
2006
99views more  JACM 2006»
14 years 9 months ago
Finding a maximum likelihood tree is hard
Abstract. Maximum likelihood (ML) is an increasingly popular optimality criterion for selecting evolutionary trees [Felsenstein 1981]. Finding optimal ML trees appears to be a very...
Benny Chor, Tamir Tuller
TCC
2007
Springer
102views Cryptology» more  TCC 2007»
15 years 3 months ago
Parallel Repetition of Computationally Sound Protocols Revisited
Abstract. Parallel repetition is well known to reduce the error probability at an exponential rate for single- and multi-prover interactive proofs. Bellare, Impagliazzo and Naor (1...
Krzysztof Pietrzak, Douglas Wikström