计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2013年
9期
41-44
,共4页
池光辉%刘建伟%李卫民%罗雄麟
池光輝%劉建偉%李衛民%囉雄麟
지광휘%류건위%리위민%라웅린
权矩阵%逻辑斯蒂回归%特征选择%非线性模型%核函数
權矩陣%邏輯斯蒂迴歸%特徵選擇%非線性模型%覈函數
권구진%라집사체회귀%특정선택%비선성모형%핵함수
weighted matrix%logistic regression%feature selection%nonlinear model%kernel function
监督学习情况下,经常遇到样例的维数远远大于样本个数的学习情况.此时,样例中存在许多与样例类标签无关的特征,研究如何同时实现稀疏特征选择并具有更好的分类性能的算法具有优势.提出了基于权核逻辑斯蒂非线性回归模型的分类和特征选择算法.权对角矩阵的对角元素在0到1之间取值,对角元素的取值作为学习参数由最优化过程确定,讨论了提出的快速轮转优化算法.提出的算法在十个实际数据集上进行了测试,实验结果显示,提出的分类算法与L1,L2,Lp 正则化逻辑斯蒂模型分类算法比较具有优势.
鑑督學習情況下,經常遇到樣例的維數遠遠大于樣本箇數的學習情況.此時,樣例中存在許多與樣例類標籤無關的特徵,研究如何同時實現稀疏特徵選擇併具有更好的分類性能的算法具有優勢.提齣瞭基于權覈邏輯斯蒂非線性迴歸模型的分類和特徵選擇算法.權對角矩陣的對角元素在0到1之間取值,對角元素的取值作為學習參數由最優化過程確定,討論瞭提齣的快速輪轉優化算法.提齣的算法在十箇實際數據集上進行瞭測試,實驗結果顯示,提齣的分類算法與L1,L2,Lp 正則化邏輯斯蒂模型分類算法比較具有優勢.
감독학습정황하,경상우도양례적유수원원대우양본개수적학습정황.차시,양례중존재허다여양례류표첨무관적특정,연구여하동시실현희소특정선택병구유경호적분류성능적산법구유우세.제출료기우권핵라집사체비선성회귀모형적분류화특정선택산법.권대각구진적대각원소재0도1지간취치,대각원소적취치작위학습삼수유최우화과정학정,토론료제출적쾌속륜전우화산법.제출적산법재십개실제수거집상진행료측시,실험결과현시,제출적분류산법여L1,L2,Lp 정칙화라집사체모형분류산법비교구유우세.
Under supervised learning settings, problems that the dimension of the samples is typically larger than the number of samples are often encountered, i.e. many irrelevant features exist. In such case, the approaches that simultaneously achieve sparsely variable selection and better accuracy of classification are more preferable. In this paper, classification and feature slec-tion algorithm based on kernel-weighted nonlinear logistic regression model is proposed. Each diagonal element of the weight diagonal matrix has a value between 0 and 1, which is as a learning parameter determined by optimization procedure, and fast alternative optimization methods are discussed. The proposed methods are tested on ten real-world datasets. The experimental results indicate that the proposed methods show high classification accuracies on these data sets than L1, L2, Lp norm regulariza-tion classifier algorithm of logistic regression model.