کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
415490 681212 2014 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A robust algorithm for template curve estimation based on manifold embedding
ترجمه فارسی عنوان
یک الگوریتم قوی برای برآورد منحنی الگو بر اساس تعبیه چندجملهای
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی

The problem of finding a template function that represents the common pattern of a sample of curves is considered. To address this issue, a novel algorithm based on a robust version of the isometric featuring mapping (Isomap) algorithm is developed. When the functional data lie on an unknown intrinsically low-dimensional smooth manifold, the corresponding empirical Fréchet median function is chosen as an intrinsic estimator of the template function. However, since the geodesic distance is unknown, it has to be estimated. For this, a version of the Isomap procedure is proposed, which has the advantage of being parameter free and easy to use. The feature estimated with this method appears to be a good pattern for the data, capturing the inner geometry of the curves. Comparisons with other methods, with both simulated and real datasets, are provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Statistics & Data Analysis - Volume 70, February 2014, Pages 373–386
نویسندگان
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