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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 王偉仲(Wei-Chung Wang) | |
| dc.contributor.author | SUNG-WEI YEN | en |
| dc.contributor.author | 嚴崧維 | zh_TW |
| dc.date.accessioned | 2021-06-08T04:16:18Z | - |
| dc.date.copyright | 2010-08-26 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-08-03 | |
| dc.identifier.citation | Andre, J., Siarry, P., and Dognon, T. (2001), “An improvement of the standard genetic
algorithm fighting premature convergence in continuous optimization”, Advances in Engineering Software, 32(1). Bambos, Nicholas and Michailidis, George (2004), “Queuing and scheduling in random environments”, Advances in Applied Probability, 36. Bichon, B. J., Eldred, M. S., Swiler, L. P., Mahadevan, S., and McFarland, J. M. (2007), “Multimodal reliability assessment for complex engineering applications using efficient global optimization”, in Structures, Structural Dynamics, and Materials Conference, American Institute of Aeronautics and Astronautics. Chuang, S.C. and Hung, Y.C. (2010), “Uniform design over general input domains with applications to target region estimation in computer experiments”, Computational Statistics and Data Analysis, 54. Fang, Kai-Tai, Lin, Dennis K. J., Winker, Peter, and Zhang, Yong (2000), “Uniform design : Theory and application”, Technometrics, 42(3). Forrester, Alexander I. J., Sobester, Andras, and Keane, Andy J. (2007), “Multi-fidelity optimization via surrogate modelling”, PROCEEDINGS OF THE ROYAL SOCIETY A, 463. Huang, D., Allen, T. T., Notz, W. I., and Miller, R. A. (2006), “Sequential kriging optimization using multiple-fidelity evaluations”, Structural and Multidisciplinary Optimization, 32(5). 30 Johnson, M. E., Moore, L. M., and Ylvisaker, D. (1990), “Minimax and maximin distance designs”, Journal of Statistical Planning and Inference, 26(2). Jones, Donald R., Schonlau, Matthias, and Welch, William J. (1998), “Efficient global optimization of expensive black-box functions”, Journal of Global Optimization, 13. Kennedy, M. C. and O’Hagan, A. (2000), “Predicting the output from a complex computer code when fast approximations are available”, Biometrika, 87(1). Li, E-Fan (2008), “A two stage derivative free optimization method - warm starting points from local search”, Master’s thesis, National University of Kaohsiung. Mckay, M. D., Beckman, R. J., and Conover, W. J. (1979), “A comparison of three methods for selecting values of input variables in the analysis of output from a computer code”, Technometrics, 21(2). Qian, Peter Z. G., Ai, Mingyao, andWu, C. F. Jeff (2009), “Construction of nested spacefilling designs”, The Annals of Statistics, 37(6A). Qian, Peter Z. G. andWu, C. F. Jeff (2008), “Bayesian hierarchical modeling for integrating low-accuracy and high-accuracy experiments”, Technometrics, 50. Qian, Zhiguang, Seepersad, Carolyn Conner, Joseph, V. Roshan, Allen, Janet K., and Wu, C. F. Jeff (2006), “Building surrogate models based on detailed and approximate simulations”, Journal of Mechanical Design, 128(4). Ranjan, Pritam, Bingham, Derek, and Michailidis, George (2008), “Sequential experiment design for contour estimation from complex computer codes”, Technometrics, 50(4). 31 Sacks, Jerome,Welch,William J., Mitchell, Toby J., andWynn, Henry P. (1989), “Design and analysis of computer experiments”, Statistical Science, 4(4). Sethian, J. A. (1999), Level Set Methods and Fast Marching Methods, Cambridge University Press. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22366 | - |
| dc.description.abstract | 我們利用兩個不同精準度的實驗結果建立一個近似高精準度實驗的高斯過程輔助曲面，並用於估計一複雜函數的等高線。主要目標是在使用相同或更少的計算成本下，利用雙精準度的輔助曲面來改進估計的效率。在循序增加實驗點改進被估計等高線的過程中，我們提出一個標準來決定下一個實驗點要進行高精準度或低精準度的實驗。一些衡量方法被用來評估被估計等高線的品質。本方法用於估計的一個網路排程系統的平均延遲時間。 | zh_TW |
| dc.description.abstract | We used two experimental results with different fidelity to build surrogates which is employed to estimate the contours of a complex function. Our goal is to improve efficiency by using the same or less computational budgets. We propose a criterion to decide which level of the code to perform at added points for sequentially refining the estimated contour. Some discrepancy measures are used to assess the quality of estimated contours. The proposed method is used to estimate the average delay time in a queuing network system. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T04:16:18Z (GMT). No. of bitstreams: 1 ntu-99-R96221038-1.pdf: 2082021 bytes, checksum: f932b5f8c3ad7ed240aa790d17e42ff0 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | 1 Introduction 6
2 Surrogate Construction 7 2.1 The Surrogates for Single Fidelity Solver . . . . . . . . . . . . . . . . . 7 2.2 The Surrogates for two-fidelity Solvers . . . . . . . . . . . . . . . . . . . 9 3 Methodology 13 3.1 The Improvement Function . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 The Selection Criterion . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.3 Contour Extraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 3.4 The Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 4 Numerical Experiments 15 4.1 The Discrepancy Measures . . . . . . . . . . . . . . . . . . . . . . . . . 16 4.2 Goldprice Function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 4.3 Queuing Netwrok Example . . . . . . . . . . . . . . . . . . . . . . . . . 20 5 Discussions 28 | |
| dc.language.iso | en | |
| dc.title | 基於雙重精準度輔助曲面的等高線估計 | zh_TW |
| dc.title | Contour Estimation Based on Two-Fidelity Surrogates | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 陳瑞彬(Ray-Bing Chen),洪英超(Ying-Chao Hung) | |
| dc.subject.keyword | 等高線估計,高斯過程,輔助曲面,網路排程,電腦實驗, | zh_TW |
| dc.subject.keyword | Contour Estimation,Gaussian Process,Surrogate,Queuing Netwrok,Computer Experiment, | en |
| dc.relation.page | 32 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2010-08-03 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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