Asymptotic analysis of higher-order scattering transform of Gaussian processes-Reference-Cited by-同舟云学术

Asymptotic analysis of higher-order scattering transform of Gaussian processes

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Liu Gi-Ren¹,Sheu Yuan-Chung²,Wu Hau-Tieng³

Affiliation:

1. Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan

2. Department of Applied Mathematics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan

3. Department of Mathematics and Department of Statistical Science, Duke University, Durham, NC, USA

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference30 articles.

1. Andén, J., and Mallat, S. Multiscale scattering for audio classification. In ISMIR (2011), Miami, FL, pp. 657–662.

2. Andén, J., and Mallat, S. Deep scattering spectrum. IEEE Transactions on Signal Processing 62, 16 (2014), 4114–4128.

3. Balan, R., Singh, M., and Zou, D. Lipschitz properties for deep convolutional networks. Contemporary Mathematics 706 (2018), 129–151.

4. Balestriero, R., and Glotin, H. Linear time complexity deep Fourier scattering network and extension to nonlinear invariants. arXiv preprint 1707.05841 (2017).

5. Bruna, J. Scattering representations for recognition. PhD thesis, Ecole Polytechnique X, 2013.

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