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SIAMCOMP
2008
107views more  SIAMCOMP 2008»
13 years 11 months ago
Holographic Algorithms
Leslie Valiant recently proposed a theory of holographic algorithms. These novel algorithms achieve exponential speed-ups for certain computational problems compared to naive algo...
Leslie G. Valiant
STACS
2007
Springer
14 years 5 months ago
On Symmetric Signatures in Holographic Algorithms
In holographic algorithms, symmetric signatures have been particularly useful. We give a complete characterization of these symmet
Jin-yi Cai, Pinyan Lu
ICALP
2007
Springer
14 years 5 months ago
Holographic Algorithms: The Power of Dimensionality Resolved
Valiant’s theory of holographic algorithms is a novel methodology to achieve exponential speedups in computation. A fundamental parameter in holographic algorithms is the dimens...
Jin-yi Cai, Pinyan Lu
COCO
2007
Springer
75views Algorithms» more  COCO 2007»
14 years 5 months ago
On the Theory of Matchgate Computations
Valiant has proposed a new theory of algorithmic computation based on perfect matchings and Pfaffians. We study the properties of matchgates—the basic building blocks in this n...
Jin-yi Cai, Vinay Choudhary, Pinyan Lu
LATIN
2010
Springer
14 years 5 months ago
Some Observations on Holographic Algorithms
Abstract. We define the notion of diversity for families of finite functions, and express the limitations of a simple class of holographic algorithms in terms of limitations on d...
Leslie G. Valiant
STOC
2007
ACM
104views Algorithms» more  STOC 2007»
14 years 11 months ago
Holographic algorithms: from art to science
Jin-yi Cai, Pinyan Lu