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STOC
2010
ACM
168views Algorithms» more  STOC 2010»
15 years 9 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 6 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 4 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
89
Voted
JACM
2006
99views more  JACM 2006»
14 years 11 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 5 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