Space-efficient geometric divide-and-conquer algorithms
نویسندگان
چکیده
منابع مشابه
Space-efficient geometric divide-and-conquer algorithms
We develop a number of space-efficient tools including an approach to simulate divide-and-conquer space-efficiently, stably selecting and unselecting a subset from a sorted set, and computing the kth smallest element in one dimension from a multi-dimensional set that is sorted in another dimension. We then apply these tools to solve several geometric problems that have solutions using some form...
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This study presents a divide-and-conquer (DC) approach based on feature space decomposition for classification. When large-scale datasets are present, typical approaches usually employed truncated kernel methods on the feature space or DC approaches on the sample space. However, this did not guarantee separability between classes, owing to overfitting. To overcome such problems, this work propo...
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Algorithmic skeletons intend to simplify parallel programming by providing recurring forms of program structure as predefined components. We present a fully distributed task parallel skeleton for a very general class of divide and conquer algorithms for MIMD machines with distributed memory. This approach is compared to a simple masterworker design. Based on experimental results for different e...
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We show how to implement divide-and-conquer algorithms without undue overhead on a wide class of networks. We give an optimal generic divide-and-conquer implementation on hypercubes for the class of divide-and-conquer algorithms for which the total size of the subproblems on any level of the recursion does not exceed the parent problem size. For this implementation, appropriately sized subcubes...
متن کاملThe Design of Divide and Conquer Algorithms
The structure common to a class of divide and conquer algorithms is represented by a program scheme. A theorem is presented which relates the functionality of a divide and conquer algorithm to its structure and the functionalities of its subalgorithms. Several strategies for designing divide and conquer algorithms arise from this theorem and they are used to formally derive algorithms for sorti...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2007
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2006.03.006