电子科技大学学报
電子科技大學學報
전자과기대학학보
JOURNAL OF UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA
2014年
4期
612-617
,共6页
李琳%伍少梅%唐宁九
李琳%伍少梅%唐寧九
리림%오소매%당저구
双中心%超曲面%局部支持向量机%最小闭球%稳定均衡向量
雙中心%超麯麵%跼部支持嚮量機%最小閉毬%穩定均衡嚮量
쌍중심%초곡면%국부지지향량궤%최소폐구%은정균형향량
double centers%hypersurface%localized support vector machine%minimum enclosing ball%stable equilibrium point
为了解决大规模非线性分类中局部学习的不平衡性问题,提出一种改进的局部支持向量机算法,在高维特征空间中聚类后,为每一个簇构造局部非线性支持向量机。为了克服簇内样本的分布不均衡问题,根据闭合超平面不规则边界的几何特点,经过梯度下降寻找稳定均衡向量,以此构造簇几何中心;再结合簇密度中心共同约束类心形成双重加权中心。然后通过求解加权最小闭球问题实现对大规模样本向量的分类。对照实验显示,除了个别数据集以外,改进的算法在训练时间、测试时间以及测试精度等方面都比另外两种分类算法表现更佳。
為瞭解決大規模非線性分類中跼部學習的不平衡性問題,提齣一種改進的跼部支持嚮量機算法,在高維特徵空間中聚類後,為每一箇簇構造跼部非線性支持嚮量機。為瞭剋服簇內樣本的分佈不均衡問題,根據閉閤超平麵不規則邊界的幾何特點,經過梯度下降尋找穩定均衡嚮量,以此構造簇幾何中心;再結閤簇密度中心共同約束類心形成雙重加權中心。然後通過求解加權最小閉毬問題實現對大規模樣本嚮量的分類。對照實驗顯示,除瞭箇彆數據集以外,改進的算法在訓練時間、測試時間以及測試精度等方麵都比另外兩種分類算法錶現更佳。
위료해결대규모비선성분류중국부학습적불평형성문제,제출일충개진적국부지지향량궤산법,재고유특정공간중취류후,위매일개족구조국부비선성지지향량궤。위료극복족내양본적분포불균형문제,근거폐합초평면불규칙변계적궤하특점,경과제도하강심조은정균형향량,이차구조족궤하중심;재결합족밀도중심공동약속류심형성쌍중가권중심。연후통과구해가권최소폐구문제실현대대규모양본향량적분류。대조실험현시,제료개별수거집이외,개진적산법재훈련시간、측시시간이급측시정도등방면도비령외량충분류산법표현경가。
An improved algorithm for localized support vector machine is proposed to resolve the imbalance of local learning problem in nonlinear classifications on large data sets. The algorithm uses the supervised clustering algorithm for clustering in a feature space of high dimension and then constructs local nonlinear support vector machines for each cluster. According to the geometric feature of irregular borders of enclosing sphere, the geometric center for a stable equilibrium point is constructed and a dual-weighted center of two relevant weights is formed through calculating density center of the cluster. At last, the classification of large data set is carried out by solving the problem of weighted minimum enclosing ball. Compared with the other two algorithms of controlled group, the proposed algorithm shows shorter training time and testing time as well as higher testing precision except for some individual data sets.