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SIAMCOMP
2008
107views more  SIAMCOMP 2008»
13 years 4 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
13 years 10 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
13 years 10 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»
13 years 10 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
13 years 11 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