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研究生: 蕭亮仁
Siao, Liang-Ren
論文名稱: 修正整體趨勢擴散技術於小樣本之學習
Improving the mega-trend-diffusion technique for small data set learning
指導教授: 利徳江
Li, Der-Chiang
學位類別: 碩士
Master
系所名稱: 管理學院 - 工業與資訊管理學系
Department of Industrial and Information Management
論文出版年: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 54
中文關鍵詞: 虛擬樣本整體趨勢擴散技術資料間隙
外文關鍵詞: Artificial Samples, Mega-Trend-Diffusion, Data Gap
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  • 基於產品汰換速度加快腳步,自眾多試製樣本中抽取出合適的製程參數並依此對現有機台進行調整的思維已逐漸因邁入客製化型態-少量多樣的生產模式而不再適用,如何從樣本數不適用於足夠學習的情境下成為一個不容忽視的小樣本問題。小樣本問題在於樣本數始終都是母體的極小一部分,同時樣本彼此間存在著資料間隙,現有統計方法無法系統性地解決上述問題。整體趨勢擴散技術藉由填補資料間隙並利用母體值域估計技術對資料行為進行預測,並於其中產生虛擬樣本及其對應隸屬函數值以建構適用於小樣本的類神經網路。
    然而母體值域估計模型的參數選定仍有著下列問題:偏態係數僅由中心點兩側個數來決定,使不同母體來源的小樣本卻推論出相同母體分配;整體趨勢擴散係數造成過度擴散推論母體分配範圍,讓產生的虛擬樣本可能不符潛在母體特性;原先利用組中點概念對擴散中心點進行定義,於該點附近不一定存在實際樣本等。本研究探討上述缺點並尋求改善方案,加入可能性評估機制重新建構類神經網路,補足原先技術中未能詳加考慮的部分。經兩筆分類案例驗證後發現本研究的確可以在有效縮減擴散範圍前提下有著更好的穩健性,同時亦不因縮減擴散範圍使得準確度下降過多,進一步呈現不同母體來源的樣本在新修正模型參數底下推論出不同母體分配的情形。

    This research proposes to improve the parameters in estimating the domain range and membership function of Mega-Trend-Diffusion technique. Beginning, skewness coefficient is only determined by the number of sides in center will make the same estimated population with small sample from different sources. Next, Mega-Trend-Diffusion coefficient results in over-diffusing to real estimated population. Furthermore, there are not necessarily actual samples nearby the diffusing center using class mid-point to define.
    To correct above problems one by one with skewness based on distance, coefficient of variation, median and mode. Then joining Plausibility Assessment Mechanism to filter artificial samples producing within the estimated domain range of a small data set. Finally, using artificial samples to train the backpropagation neural network. After verification of two classification cases, this research indeed exists better robustness under reduced diffusing range effectively. Also, showing difference estimated population of samples from different source with improved parameters.

    目錄 摘要 I 英文摘要 II 誌謝 VI 目錄 VII 表目錄 X 圖目錄 XI 第一章 緒論 1 1.1 研究背景 1 1.2 研究動機 3 1.3 研究目的 5 1.4 研究架構 6 第二章 文獻探討 7 2.1 小樣本學習 7 2.1.1 擴散神經網路 7 2.1.2 資料模糊化 9 2.1.3 整體趨勢擴散 12 2.2 類神經網路 16 第三章 研究方法 20 3.1 擴散幅度 21 3.2 擴散幅度比重 23 3.3 擴散中心點 24 3.4 修正後值域估計公式與隸屬函數 26 3.5 可能性評估機制 31 3.6 虛擬樣本擴散範圍比較 32 第四章 實例驗證 35 4.1 實驗流程 35 4.2 案例說明 36 4.2.1 模擬彈性製造系統 37 4.2.2 膀胱癌檢測 46 4.3 實驗結果 48 第五章 結論與建議 51 參考文獻 52

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