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ISSAC
2005
Springer
105views Mathematics» more  ISSAC 2005»
14 years 1 months ago
Computing the rank and a small nullspace basis of a polynomial matrix
We reduce the problem of computing the rank and a nullspace basis of a univariate polynomial matrix to polynomial matrix multiplication. For an input n×n matrix of degree d over ...
Arne Storjohann, Gilles Villard
FOCS
1998
IEEE
13 years 12 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
IJCV
2012
11 years 10 months ago
Globally Optimal Estimation of Nonrigid Image Distortion
Abstract Image alignment in the presence of non-rigid distortions is a challenging task. Typically, this involves estimating the parameters of a dense deformation field that warps...
Yuandong Tian, Srinivasa G. Narasimhan
IS
2010
13 years 6 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley
SPAA
2005
ACM
14 years 1 months ago
Parallelizing time with polynomial circuits
We study the problem of asymptotically reducing the runtime of serial computations with circuits of polynomial size. We give an algorithmic size-depth tradeoff for parallelizing ...
Ryan Williams