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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