%0 Journal Article
%T A Better Scaled Local Tangent Space Alignment Algorithm<br>一种改进的局部切空间排列算法
%A YANG Jian
%A LI Fu-Xin
%A WANG Jue
%A <br>杨剑
%A 李伏欣
%A 王珏
%J 软件学报
%D 2005
%I 
%X Recently, a new manifold learning algorithm, LTSA (local tangent space alignment), has been proposed. It is efficient for many nonlinear dimension reduction problems but unfit for large data sets and newcome data. In this paper, an improved algorithm called partitional local tangent space alignment (PLTSA) is presented, which is based on VQPCA (vector quantization principal component analysis) and LTSA. In the algorithm, the sample space is first divided into overlapping blocks using the X-Means algorithm. Then each block is projected to its local tangent space to get local low-dimensional coordinates of the points in it. At last, the global low-dimensional embedded manifold is obtained by local affine transformations. PLTSA is better than VQPCA in that it gives the global coordinates of the data. It works on a much smaller optimization matrix than that of LTSA and leads to a better-scaled algorithm. The algorithm also provides a set of transformations that allow to calculate the global embedded coordinates of the newcome data. Experiments illustrate the validity of this algorithm.
%K dimensionality reduction
%K manifold learning
%K principal component analysis
%K local principal component analysis
%K local tangent space alignment
%K X-means<br>维数约简
%K 流形学习
%K 主成分分析
%K 局部主成分分析
%K 局部切空间排列
%K X-均值
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=E498AA0233F87412&yid=2DD7160C83D0ACED&vid=7801E6FC5AE9020C&iid=9CF7A0430CBB2DFD&sid=5A9F02B7D2F9BAD8&eid=F7B1A3F8BE432B4F&journal_id=1000-9825&journal_name=软件学报&referenced_num=18&reference_num=16