結合群體智慧與自我組織映射圖的資料視覺化研究

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蘇軾詠(Shi-Yong Su) 查詢紙本館藏

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資訊工程學系

論文名稱

結合群體智慧與自我組織映射圖的資料視覺化研究
(Data Visualization using Swarm Intelligence and the Self-Organizing Map)

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摘要(中)

群居的昆蟲（或動物）提供了我們一個有效的概念，來建立可彼此互動的分散式代理人系統。研究這些昆蟲（或動物）的群體行為，提供了我們一個有效的方法來解決許多困難的問題，例如最佳化等。愈來愈多的研究者，對於完成所謂的“群體智慧”（由一群簡單的代理人集體突現出的智慧）感到越來越濃的興趣。目前，已有許多研究者設計出各種的電腦模擬，來解釋鳥群、魚群或蟻群等生物間的移動模式。
本篇論文的研究動機來自於鳥類的覓食行為模式，我們把資料當作食物，藉由不斷的拋置於地上給成群的鳥群覓食，此鳥群會隨之調整他們的彼此位置來獲得奪取食物的機會，每隻鳥會在搜尋食物的過程中，從其他的鳥獲得食物來源的資訊，因為每隻鳥都會受到對該食物具有最佳反應的鳥所影響，而企圖朝向它來搜尋食物。漸漸地，鳥類會被分成幾個不同的群聚，而這些形成的群聚則會反應出資料的潛藏結構特性。
然而，大多數的實際資料是屬於高維度的資料型態；要如何分析高維的資料特性是個相當迫切的挑戰。自我組織映射圖（SOM）擁有可透過自我組織的過程，將高維的資料映射到低維度的空間上的特性。所以，我們整合了自我組織映射圖以及上述的群體智慧的概念，提出了一個新的視覺化方法“以群體智慧為基礎的自我組織特徵映射圖”演算法。此演算法允許我們利用人類擅長於二維平面上的分群能力來判斷群聚的數目；此外，我們並可依據所決定的群聚數目，將資料予以分群處理。最後，我們以九個不同特性的資料集合來測試所提出方法之有效性。

摘要(英)

Social insects (or animals) provide us with a powerful concept to create decentralized systems of simple interacting, and often mobile, agents (e.g. ants, birds, etc.) The study of their behaviors provides us with effective tools for solving many difficult problems such as optimization, etc. More and more researchers are interested in this exciting way of achieving a form of swarm intelligence (i.e. the emergent collective intelligence of groups of simple agents.) They have created computer simulations of various interpretations of the movement of organisms in a bird flock, fish school, or ant colonies.
In this paper, a new data visualization method, which was inspired by real birds behaviors, is proposed. In this method, each data pattern in the data set to be clustered is regarded as a piece of food and these data patterns will be sequentially tossed to a flock of birds on the ground. The flock of birds adjusts its physical movements to seek food. Individual members of the flock can profit from discoveries of all of other members of the flock during the search for food because an individual is influenced by the success of the best neighbor and tries to imitate the behavior of the best neighbor. Gradually, the flock of birds will be divided into several groups according to the distributions of the food. The formed groups will naturally correspond to the underlying data structures in the data set.
However many practical data sets are consisted of high-dimensional data points; therefore, how to generalize the aforementioned idea to cluster high-dimensional data sets is a very demanding challenge. Since the Self-Organizing Map (SOM) algorithm can project high-dimensional data points into a low-dimensional space through a self-organizing procedure we decide to integrate the SOM algorithm with the foregoing swarm intelligence to propose a new data visualization algorithm d. We then name the new data visualization algorithm as the Swarm Intelligence-based SOM (SISOM) algorithm. The algorithm allows us to use our visualization to decide the numbers of clusters and then cluster the data set based on the estimated cluster number. Nine data sets are used to demonstrate the effectiveness of the proposed algorithm.

關鍵字(中)

★ 群聚分析
★ 群體智慧
★ 視覺化

關鍵字(英)

★ cluster analysis
★ swarm intelligence
★ visualization

論文目次

摘要 I
Abstract III
誌謝 V
目錄 VI
表目錄 VIII
圖目錄 X
第一章緒論 1
1.1 群聚分析 1
1.2 自我組織映射圖 4
1.3 群體智慧 5
1.4 研究動機 6
1.5 論文架構 8
第二章群聚分析文獻回顧 9
2.1 傳統群聚演算法 9
2.1.1 K-means 和模糊K-means 9
2.1.2 適應共振理論（ART） 12
2.1.3 最大最小演算法（Maximin Algorithm） 14
2.1.4 傳統群聚演算法之比較 17
2.2 自我組織特徵映射圖 18
2.3 基於SOM的視覺化群聚演算法 23
2.3.1 The Kohonen Topology Preserving Mapping 25
2.3.2 Double SOM 27
2.3.3 Visualization-induced SOM 30
2.4 其他視覺化群聚演算法 34
2.4.1 主成分分析 35
2.4.2 賽門非線性投影 35
2.4.3 Lumer Faieta演算法 37
第三章研究方法與步驟 42
3.1 蟻群最佳化 43
3.2 粒子群體最佳化 45
3.3 代表點初始化 47
3.4 訓練階段 54
3.5 分類階段 57
第四章模擬結果與比較 60
4.1 二維資料集1之測試與比較 60
4.2 二維資料集2測試之測試與比較 65
4.3 三維資料集測試與比較 69
4.4 十維資料集測試與比較 72
4.5 染色體資料集測試與比較 77
4.6 工業元件資料集測試與比較 81
4.7 鳶尾花資料集測試與比較 85
4.8 衛星資料集測試與比較 89
4.9 三維腦波資料集測試與比較 95
第五章結論與展望 97
5.1 結論 97
5.2 未來研究方向 98
參考文獻 99

參考文獻

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指導教授

蘇木春(Mu-Chun Su)

審核日期

2004-6-30

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