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Multiscale Adaptive Representation of Signals: I. The Basic Framework
Tai, Cheng ; E, Weinan
2016
关键词AdaFrame Dictionary Learning Wavelet Frames/Bi-frames LINEAR INVERSE PROBLEMS THRESHOLDING ALGORITHM SPARSE REPRESENTATION K-SVD DICTIONARIES IMAGES
英文摘要We introduce a framework for designing multi-scale, adaptive, shift-invariant frames and bi-frames for representing signals. The new framework, called AdaFrame, improves over dictionary learning-based techniques in terms of computational efficiency at inference time. It improves classical multi-scale basis such as wavelet frames in terms of coding efficiency. It provides an attractive alternative to dictionary learning-based techniques for low level signal processing tasks, such as compression and denoising, as well as high level tasks, such as feature extraction for object recognition. Connections with deep convolutional networks are also discussed. In particular, the proposed framework reveals a drawback in the commonly used approach for visualizing the activations of the intermediate layers in convolutional networks, and suggests a natural alternative.; 973 program of the Ministry of Science and Technology of China; Major Program of NNSFC [91130005]; ONR grant [N00014-13-1-0338]; SCI(E); ARTICLE; CHENGT@MATH.PRINCETON.EDU; WEINAN@MATH.PRINCETON.EDU; 17
语种英语
出处SCI
出版者JOURNAL OF MACHINE LEARNING RESEARCH
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/459088]  
专题数学科学学院
推荐引用方式
GB/T 7714
Tai, Cheng,E, Weinan. Multiscale Adaptive Representation of Signals: I. The Basic Framework. 2016-01-01.
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