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Simple learning algorithms using divide and conquer

Computational Complexity, 1995
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Tree machines and divide-and-conquer algorithms

2007
A tree machine consists of a number of processors (each with its own memory) mutually connected via communication branches so as to form a binary tree. Two processors may communicate only via a common communication link. Such a tree machine is a completely general, concurrent processing engine and can be used for problems decomposed in a hierarchical ...
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An Efficient Multibody Divide and Conquer Algorithm

Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005
A new and efficient form of Featherstone’s multibody Divide and Conquer Algorithm (DCA) is presented. The DCA was the first algorithm to achieve theoretically optimal logarithmic time complexity with a theoretical minimum of parallel computer resources for general problems of multibody dynamics, however the DCA is extremely inefficient in the presence ...
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Divide-and-conquer approximation algorithms via spreading metrics

Proceedings of IEEE 36th Annual Foundations of Computer Science, 2000
We present a novel divide-and-conquer paradigm for approximating NP-hard graph optimization problems. The paradigm models graph optimization problems that satisfy two properties: First, a divide-and-conquer approach is applicable. Second, a fractional spreading metric is computable in polynomial time.
Guy Even   +3 more
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A divide-and-conquer algorithm for grid generation

Applied Numerical Mathematics, 1994
The algorithm proposed here generates grid points in plane domains with four smooth boundary curves. It is similar to what one does instinctively when asked to generate a grid when given only the boundary: an algorithm starts with the initial boundary curves and fills in the interior grids, one curve at a time.
Dougherty, Randall L., Hyman, James M.
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Engineering the Divide-and-Conquer Closest Pair Algorithm

Journal of Computer Science and Technology, 2007
We improve the famous divide-and-conquer algorithm by Bentley and Shamos for the planar closest-pair problem. For n points on the plane, our algorithm keeps the optimal O(n log n) time complexity and, using a circle-packing property, computes at most 7n/2 Euclidean distances, which improves Ge et al.'s bound of (3n log n)/2 Euclidean distances.
Minghui Jiang, Joel Gillespie
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Divide-and-Conquer Approximation Algorithm for Vertex Cover

SIAM Journal on Discrete Mathematics, 2009
The vertex cover problem is a classical NP-complete problem for which the best worst-case approximation ratio is $2-o(1)$. In this paper, we use a collection of simple graph transformations, each of which guarantees an approximation ratio of $\frac{3}{2}$, to find approximate vertex covers for a large collection of randomly generated graphs and test ...
Eyjólfur Ingi Ásgeirsson, Cliff Stein
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Fast broadcast by the divide-and-conquer algorithm

2004 IEEE International Conference on Cluster Computing (IEEE Cat. No.04EX935), 2005
Collective communication functions including the broadcast in cluster computers usually take O(m log P) time in propagating the size-m message to P processors. We have devised a new O(m) broadcast algorithm, independent of the number of processors involved, by using divided-and-conquer algorithm. Details are given below.
null Dongyoung Kim, null Dongseung Kim
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A Stable Divide and Conquer Algorithm for the Unitary Eigenproblem

SIAM Journal on Matrix Analysis and Applications, 2003
A divide and conquer algorithm is introduced for computing the eigendecomposition of unitary upper Hessenberg matrices with a stable backward method. Numerical experiments illustrate the efficiency of the algorithm.
Gu, Ming   +3 more
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Divide-and-conquer algorithms on two-dimensional meshes

1998
The Reflecting and Growing mappings have been proposed to map parallel divide-and-conquer algorithms onto two — dimensional meshes. The performance of these mappings has been previously analyzed under the assumption that the parallel algorithm is initiated always at the same fixed node of the mesh.
Miguel Valero-García   +3 more
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