基於密度的超立方體覆蓋之啟發式演算法

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姓名

蔣秉芳(Ping-Fang Chiang) 查詢紙本館藏

畢業系所

資訊工程學系

論文名稱

基於密度的超立方體覆蓋之啟發式演算法
(Efficient Classification Using Density-Based Hyper-Rectangle Covers)

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摘要(中)

在資料建模、和機器學習的領域中，我們可以將不同資料對應到歐幾里德超空間後，再建立排他性的超立方體來覆蓋全部資料，然後利用這些超立方體做為資料辨識的規則或知識。然而，以往這方面的研究在建立這樣的排他性超立方體時，經常會花費太多的時間；或是雖然時間很短，卻犧牲太多的準確率。本篇論文嘗試在貪婪演算法高效率的基礎上，以不犧牲太多效率的方式，建構出擁有高度資料辨識率的超立方體覆蓋。針對較大的資料、和較佳的判斷兩方面，本篇論文分別提出兩種不同的啟發式方法，以便滿足大量資料和高精準度的不同需求。另外，論文也提供了將超立方體覆蓋的結果轉為析取範式(DNF)的方法，使得資料在完成建模之後能夠有更佳的可讀性。最後，本篇論文探討了超立方體建模的天生限制，並且嘗試對這個限制提出了將來可能的改善方向。

摘要(英)

In the fields of data modeling and machine learning, using exclusive hyper-rectangles which contain various classes of data in the Euclidean Hyper-Space as rules or knowledge, has been widely studied for data classifications. However, prior hyper-rectangle-based algorithms either take too much time on constructing hyper-rectangles for better classification results, or sacrifice accuracy of classification in return of less execution time. To solve this problem, this paper tries to propose a better hyper-rectangle-covering-based method, which produces good data classification results and yet executes efficiently. Considering both sides of larger data and more accurate result, this paper extends our idea to two novel, alternate heuristic methods, to fulfill different demands on precise classification and massive data usage. In this paper, we also provide a procedure to translate the results of the hyper-rectangle covers into conjunctive normal forms, which are more readable for human beings. We also point out an inherent restriction of the algorithms that use hyper-rectangles for data modeling, and propose a possible research direction to overcome the restriction.

關鍵字(中)

★ 資料探勘
★ 超立方體
★ 資料識別

關鍵字(英)

★ Hyper-Rectangle
★ Data Classification
★ Data Mining

論文目次

摘要 I
Abstract I
目錄 III
圖目錄 IV
表目錄 V
第一章　緒論 1
前言 1
1-1背景知識 2
1-2問題定義與實作目標 5
1-3研究貢獻 5
1-4文章架構 5
第二章　相關研究 6
2-1 Popular Classification Methods 6
2-2 Rectangle Greedy Cover 10
2-3使用窮舉法的RGC實作方式 11
2-4不使用窮舉法的RGC實作方式 12
第三章　演算法架構 14
3-1 Natural Division 16
3-2 Simulated Crystallization 27
3-3 Classification 34
3-4 Readability 38
3-5 瓶頸與限制 39
第四章實驗結果與分析 41
4-1 實驗準確性 41
4-2 實驗效率 46
第五章　結論與未來方向 48
參考文獻 50

參考文獻

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指導教授

王尉任(Wei-Jen Wang)

審核日期

2012-8-1

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