Unreplicated Designs for Random Noise  Exploration

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姓名

游韋翔(Wei-Hsiang YU) 查詢紙本館藏

畢業系所

統計研究所

論文名稱

(Unreplicated Designs for Random Noise Exploration)

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至系統瀏覽論文 (2025-6-30以後開放)

摘要(中)

在工業系統當中，了解系統變異非常重要。雖然不同的處理組合提供了反應曲面波動的訊息，但當系統較為複雜時，不同的處理組合將難以萃取真實系統變異的資訊。一種常見的解決方式為執行重複實驗點，然而重複實驗點卻無法提供反應曲面波動的訊息，而且經常被視為增加成本的一種做法。在本篇論文我們推導出一個期望損失準則，並藉由此準則來建立沒有重複實驗點卻包含系統變異資訊的實驗設計，同時這些設計點也提供反應曲面波動的資訊。

摘要(英)

Grasping the variation of system plays a crucial role in industrial systems. Different treatment combinations provide the information about the fluctuation of response surfaces. However, they are unable to extract the exact information of pure errors if the model is complex. Conducting replicates is one solution. On the other hand, replication does not provide information about response surfaces and is usually treated as a waste. In this thesis, we derive an expected loss criterion and aim at constructing unreplicated designs containing as much information of pure error as possible. These points are capable of exploring the response surface as well.

關鍵字(中)

★ 純誤差
★ 高斯過程
★ 質量改善
★ 色散效應

關鍵字(英)

★ Pure error
★ Gaussian process
★ Quality improvement
★ Dispersion effects

論文目次

Contents
Abstract i
List of Tables ii
List of Figures iii
1 Introduction 1
2 Literature Review 3
2.1 Gaussian Process . . . . . . . . . . . . . . . . . 3
2.2 Expected Improvement Optimization . . . . . . . . 4
3 Methodology 6
3.1 Loss Function . .. . . . . . . . . . . . . . . . . 6
3.2 Algorithm . . . . . . . . . . . . . . . . . . . . 7
4 Simulation Study 9
5 Real Example 19
6 Conclusion 21
References 22

參考文獻

References
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指導教授

張明中(Ming-Chung Chang)

審核日期

2020-7-9

推文