کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
564043 875557 2007 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Geometrical multi-resolution network based on ridgelet frame
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Geometrical multi-resolution network based on ridgelet frame
چکیده انگلیسی

Ridgelet has multi-resolution properties in direction besides scale and position. This paper proposes a geometrical multi-resolution network (GMN) based on ridgelet frame by taking ridgelet as the activation function in the hidden layer. For ridgelet is efficient in describing line, hyperplane, and other non-point like structures in high dimension, the network is capable of catching essential features in ‘direction-rich’ signals and thus representing high-dimensional data sparsely. With the binary ridgelet frame providing the foundation for designation, the network is characteristic of more flexible structure and more accurate description of directions. The construction and learning of the network are presented, as well as a theoretical analysis on its approximation property. At last, the superiority of GMN is demonstrated by simulation results of regression and classification.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 87, Issue 4, April 2007, Pages 750–761
نویسندگان
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