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2nd International Conference on Information Computing and Applications

作者： Liu Xiong Gong Dianxuan Zhanjiang Normal Coll Zhanjiang Sch Math & Computat Sci Zhanjiang 524048 Guangdong Peoples R China Hebei United Univ Coll Sci Tangshan Peoples R China

ISBN: (纸本)9783642275029;9783642275036

In this paper. the first kind of Chebyshev interpolation in the Wiener space are discussed. under the L-p norm, the convergence properties of Chebyshev interpolation polynomials base on the zeros of the Chebyshev polynomials are proved. Furthermore, the estimation for the average error of the first kind of Chebyshev interpolation polynomials are weakly equivalent to the average errors of the corresponding best polynomial approximation. while p = 4 the weakly asypmtotic order e(4) (H-n, G(4)) approximate to 1/root n of the average error in the Wiener space is obtained.

关键词： Chebyshev interpolation polynomials average error L-2 -norm Wiener-space

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Determining average error of Flank Wear in Turning Duplex Stainless Steel Using Canny's Edge Detection Algorithm in Comparison with Fuzzy Logic Algorithm 6

Determining Average Error of Flank Wear in Turning Duplex St...

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6th International Conference on Contemporary Computing and Informatics, IC3I 2023

作者： Vignesh, S. Senthil Pon Bommi, R.M. Saveetha School of Engineering SIMATS Department of ECE Chennai India

ISBN: (纸本)9798350304480

To obtain the average error of flank wear in turning Duplex Stainless Steel (DSS) using Canny's Edge Detection Algorithm and compare it with Fuzzy Logic Algorithm. The average error accuracy of flank wear is computed for Canny's Edge Detection Algorithm and Fuzzy Logic Algorithm separately and are categorized into Group 1 and Group 2 respectively, each consisting of 27 samples, providing a total sample size of 54. It was computed using *** with an enrollment ratio of one, an alpha error of 0.05, a G-power of 80%, and a confidence interval of 95%. The average error accuracy determined using the Novel Canny's Edge Detection Algorithm (92.78%) is more accurate and statistically significant than the Fuzzy Logic Algorithm (88.91 %) and the significance value obtained is p = 0.000 (p © 2023 IEEE.

关键词： average error Duplex Stainless Steel Flank Wear Fuzzy Logic Algorithm Novel Canny's Edge Detection Algorithm Quality of Life Turning

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The Simultaneous Approximation average errors for Bernstein Operators on the r-Fold Integrated Wiener Space

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Numerical Mathematics(Theory,Methods and Applications) 2012年第3期5卷 403-422页

作者： Guiqiao Xu Department of Mathematics Tianjin Normal UniversityTianjin300387China

For weighted approximation in Lp-norm,we determine strongly asymptotic orders for the average errors of both function approximation and derivative approximation by the Bernstein operators sequence on the r-fold integr... 详细信息

关键词： Bernstein operators weighted Lp-norm r-fold integrated Wiener space average error

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VACSEM: Verifying average errors in Approximate Circuits Using Simulation-Enhanced Model Counting

VACSEM: Verifying Average Errors in Approximate Circuits Usi...

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27th Design, Automation and Test in Europe Conference and Exhibition (DATE)

作者： Meng, Chang Wang, Hanyu Mai, Yuqi Qian, Weikang De Micheli, Giovanni Ecole Polytech Fed Lausanne Integrated Syst Lab Lausanne Switzerland Swiss Fed Inst Technol Dept Informat Technol & Elect Engn Zurich Switzerland Shanghai Jiao Tong Univ UM SJTU Joint Inst Shanghai Peoples R China Shanghai Jiao Tong Univ MoE Key Lab AI Shanghai Peoples R China

ISBN: (纸本)9798350348606;9783981926385

Approximate computing is an effective computing paradigm to reduce area, delay, and power for error-tolerant applications. average error is a widely-used metric for approximate circuits, measuring the average deviation between the outputs of exact and approximate circuits. This paper proposes VACSEM, a formal method to verify average errors in approximate circuits using simulation-enhanced model counting. VACSEM leverages circuit structure information and logic simulation to speed up verification. Experimental results show that VACSEM is on average 35x faster than the state-of-the-art method.

关键词： formal verification approximate computing average error simulation model counting

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Minimizing mean flow time with error constraint

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ALGORITHMICA 1998年第1期20卷 101-118页

作者： Leung, JYT Tam, TW Wong, CS Young, GH Department of Computer Science and Engineering University of Nebraska-Lincoln Lincoln NE 68588-0115 USA. US

We consider the problem df minimizing mean flow time for the Imprecise Computation Model introduced by Lin et al. A task system TS = ({Ti}, {r(T-i)}, {d(T-i)}, {m(T-i)}, {o(T-i)}) consists of a set of n independent tasks, where r(T-i), d(T-i), m(T-i), and o(T-i) denote the ready time, deadline, execution time of the mandatory part, and execution time of the optional part of T-i, respectively. Given a task system TS and an error threshold K, our goal is to find a preemptive schedule on one processor such that the average error is no more than K and the mean flow time of the schedule is minimized. Such a schedule is called an optimal schedule. In this article we show that the problem of finding an optimal schedule is NP-hard, even if all tasks have identical ready times and deadlines. A pseudopolynomial-time algorithm is given for a set of tasks with identical ready times and deadlines, and oppositely ordered mandatory execution times and total execution times (i.e., there is a labeling of tasks such that m(T-i) less than or equal to m(Ti+1) and m(T-i) + o(T-i) greater than or equal to m(Ti+1) + o(Ti+1) for each 1 less than or equal to i < n). Finally, polynomial-time algorithms are given for (1) a set of tasks with identical ready rimes, and similarly ordered mandatory execution times and total execution times and (2) a set of tasks with similarly ordered ready times, deadlines, mandatory execution times, and total execution times.

关键词： real-time system NP-hard pseudopolynomial time polynomial time ready time deadline imprecise computation mean flow time average error nonpreemptive scheduling preemptive scheduling

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average errors for Kantorovitch operators on r-fold integrated Wiener space

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INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 2014年第5期12卷 1461013-1461013页

作者： Xu Guiqiao Gao Xingrui Tianjin Normal Univ Coll Math Sci Tianjin 300387 Peoples R China

For weighted approximation in L-p-norm, we determine strongly asymptotic orders for simultaneous approximation average errors of sequence of Kantorovitch operators on r-fold integrated Wiener space. These results show... 详细信息

关键词： Kantorovitch operator weighted L-p-norm r-fold integrated Wiener space average error

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QUANTIZATION-error IN HEXAGONAL SENSORY CONFIGURATIONS

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IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE 1992年第6期14卷 665-671页

作者： KAMGARPARSI, B KAMGARPARSI, B US Naval Res. Lab. Washington DC USA

Hexagonal spatial sampling is used widely in image and signal processing. However, no rigorous treatment of the quantization error due to hexagonal sampling has appeared in the literature. In this paper, we develop mathematical tools for estimating quantization error in hexagonal sensory configurations. These include analytic expressions for the average error and the error distribution of a function of an arbitrary number of independently quantized variables. These two quantities are essential for assessing the reliability of a given algorithm. They can also be used to compare the relative sensitivity of a particular algorithm to quantization error for hexagonal and other spatial samplings, e.g., square, and can have an impact on sensor design. Furthermore, we show that the ratio of hexagonal error to square error is bounded between 0.90 and 1.05.

关键词： average error error DISTRIBUTION HEXAGONAL PIXEL QUANTIZATION error SPATIAL SAMPLING SQUARE PIXEL

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EXPECTED ABSOLUTE error OF THE USUAL ESTIMATOR OF THE BINOMIAL PARAMETER

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AMERICAN STATISTICIAN 1980年第3期34卷 155-157页

作者： BLYTH, CR Queen’s University Kingston ON K7L 3N6 Canada

ForXwith binomial (n, p) distribution the usual measure of the error ofX/nas an estimator ofpis its standard errorSn(p)= √{E(X/n – p)2} = √{p(1 –p)/n}. A somewhat more natural measure is the average absolute errorDn(p) = E‖X/n – p‖. This article considers use ofDn(p)instead ofSn(p)in a student's first introduction to statistical estimation. Exact and asymptotic values ofDn(p), and the appearance of its graph, are described in detail. The same is done for the Poisson distribution.

关键词： Binomial and Poisson distributions Point estimation Standard error average error Mean deviation Expected absolute error

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The average errors for linear combinations of Bernstein-Kantorovich operators on the Wiener space

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INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 2014年第5期12卷 1461005-1461005页

作者： Jiang, Yanjie Zhang, Zengbo North China Elect Power Univ Dept Math & Phys Baoding 071003 Peoples R China

In this paper, we discuss the average errors of function approximation by linear combinations of Bernstein-Kantorovich operators. The strongly asymptotic orders for the average errors of these operators sequence are d... 详细信息

关键词： Linear combinations Bernstein-Kantorovich operators weighted L-p-norm Wiener space average error

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The average errors for Bernstein-Kantorovich Operators on the r-fold Integrated Wiener Space

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AASRI Procedia 2012年 1卷 299-304页

作者： Liu Ting Jiang Yanjie Department of Mathematics and Physics North China Electric Power University Baoding 071003 People's Republic of China

In this paper, we discuss the average errors of function weighted approximation by the Bernstein-Kantorovich operators. The strongly asymptotic orders for the average errors of the Bernstein-Kantorovich operators sequ... 详细信息

关键词： Bernstein-Kantorovich operators Weighted Lp-norm r-fold integrated Wiener space average error

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