Sampling with Hammersley and Halton Points

Wong, Tien‐Tsin; Luk, Wai-Shing; Heng, Pheng‐Ann

doi:10.1201/b10628-32

Cited by 46 publications

(53 citation statements)

References 12 publications

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“…Halton points are an example of a quasi-random number sequence and we use them to represent the situation of scattered data. For details about their definition we refer to [10] and [20].…”

Section: -Equidistant Points (E-n) -Tensor-product Chebyshev Points (mentioning

confidence: 99%

An alternative procedure for selecting a good value for the parameter c in RBF-interpolation

Scheuerer

2010

Adv Comput Math

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The impact of the scaling parameter c on the accuracy of interpolation schemes using radial basis functions (RBFs) has been pointed out by several authors. Rippa (Adv Comput Math 11:193-210, 1999) proposes an algorithm based on the idea of cross validation for selecting a good such parameter value. In this paper we present an alternative procedure, that can be interpreted as a refinement of Rippa's algorithm for a cost function based on the euclidean norm. We point out how this method is related to the procedure of maximum likelihood estimation, which is used for identifying covariance parameters of stochastic processes in spatial statistics. Using the same test functions as Rippa we show that our algorithm compares favorably with cross validation in many cases and discuss its limitations. Finally we present some computational aspects of our algorithm.

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“…Halton points are an example of a quasi-random number sequence and we use them to represent the situation of scattered data. For details about their definition we refer to [10] and [20].…”

Section: -Equidistant Points (E-n) -Tensor-product Chebyshev Points (mentioning

confidence: 99%

An alternative procedure for selecting a good value for the parameter c in RBF-interpolation

Scheuerer

2010

Adv Comput Math

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“…When applied to a hypercube, the coordinates X i become powers of two, and this vertex placement algorithm produces a uniform placement of vertices (Figure 4, left) closely related to the Hammersley point set commonly used in numerical computation and computer graphics for its low discrepancy properties [16]. Other examples of drawings produced by this method can be seen in Figures 6, 9, and 10(left).…”

Section: Theorem 2 the Projection Methods Described Above Satisfies Tmentioning

confidence: 99%

Algorithms for Drawing Media

Eppstein

2005

Graph Drawing

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“…The initialization of particle location and speed is performed using a deterministic and homogeneous distribution, according to Hammersley sequence sampling [51]. PSO parameters and their values for the proposed PSO-EELB are listed in Table 1.…”

Section: Deterministic Formulationmentioning

confidence: 99%

An intelligent PSO-based energy efficient load balancing multipath technique in wireless sensor networks

Randhawa¹,

Jain²

2017

Turk J Elec Eng & Comp Sci

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Abstract:To provide a reliable and efficient service, load balancing plays an important role in wireless sensor networks (WSNs). There is a need to maximize the network lifetime for WSNs applications with periodic generation of data. Due to the relationship between energy consumption and network sensor node lifetime, energy consumption in a network should be minimized and balanced in order to increase network lifetime. Energy-efficient load-balancing techniques are needed to solve this problem. In this paper, a particle swarm optimization (PSO)-based energy-efficient load-balancing technique is proposed, in which the required number of routing paths and energy consumption of different nodes and paths are calculated. Based on maximum residual energy, paths are selected and further PSO-based load balancing is performed among all the paths for data transfer at a particular point of time. The performance of the proposed technique is evaluated using real testbed and experimental results and shows that the proposed technique performs better than existing techniques in terms of network lifetime, energy consumption, throughput, number of alive nodes, number of data packets received, execution time, and convergence rate.

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Sampling with Hammersley and Halton Points

Cited by 46 publications

References 12 publications

An alternative procedure for selecting a good value for the parameter c in RBF-interpolation

An alternative procedure for selecting a good value for the parameter c in RBF-interpolation

Algorithms for Drawing Media

An intelligent PSO-based energy efficient load balancing multipath technique in wireless sensor networks

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