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Holographic Algorithms With Unsymmetric Signatures
Holographic Algorithms Unsymmetric Signatures
2012/11/30
Holographic algorithms were introduced by Valiant as a new methodology to derive polynomial time algorithms. Here information
and computation are represented by exponential sums using the so-called s...
Holographic Algorithms With Unsymmetric Signatures
Holographic Algorithms Unsymmetric Signatures
2012/11/30
Holographic algorithms were introduced by Valiant as a new methodology to derive polynomial time algorithms. Here information and computation are represented by exponential sums using the so-called si...
Holographic Algorithms: The Power of Dimensionality Resolved
Holographic Algorithms Dimensionality Resolved
2012/11/29
Valiant’s theory of holographic algorithms is a novel methodology to achieve exponential speed-ups in computation. A fundamental parameter in holographic algorithms is the dimension of the linear basi...
Holographic algorithms are a novel approach to design polynomial time computations using linear superpositions.Most holographic algorithms are designed with basis vectors of dimension 2. Recently Vali...
In holographic algorithms, symmetric signatures have been particularly useful.We give a complete characterization of these symmetric signatures over all bases of size 1. These improve previous results...
We develop the theory of holographic algorithms. We give characterizations of algebraic varieties of realizable symmetric generators and recognizers on the basis manifold, and a polynomial time decisi...