Understanding the Scattering Transform Using Univariate Signals

Youngmi Hur; Hyojae Lim

doi:10.1109/CISP-BMEI.2018.8633161

Understanding the Scattering Transform Using Univariate Signals

Youngmi Hur, Hyojae Lim

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we review the scattering transform in the univariate setting. After reviewing its properties including translation invariance, stability under small diffeomorphism, and ability to carry high-frequency information, we investigate how these properties can be used in understanding the effect of the scattering transform when various types of signal deformation are considered. We find that, together with the Fourier transform modulus, the scattering transform can be used in classifying some of these deformations.

Original language	English
Title of host publication	Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018
Editors	Qingli Li, Wei Li, Lipo Wang
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781538676042
DOIs	https://doi.org/10.1109/CISP-BMEI.2018.8633161
Publication status	Published - 2019 Feb 1
Event	11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018 - Beijing, China Duration: 2018 Oct 13 → 2018 Oct 15

Publication series

Name	Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018

Conference

Conference	11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018
Country/Territory	China
City	Beijing
Period	18/10/13 → 18/10/15

Bibliographical note

Funding Information:
ACKNOWLEDGMENT This research was supported in part by the National Research Foundation of Korea (NRF) [Grant Number 20151009350].

Publisher Copyright:
© 2018 IEEE.

All Science Journal Classification (ASJC) codes

Biomedical Engineering
Artificial Intelligence
Computer Networks and Communications
Computer Vision and Pattern Recognition
Signal Processing
Health Informatics

Access to Document

10.1109/CISP-BMEI.2018.8633161

Cite this

Hur, Y., & Lim, H. (2019). Understanding the Scattering Transform Using Univariate Signals. In Q. Li, W. Li, & L. Wang (Eds.), Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018 [8633161] (Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CISP-BMEI.2018.8633161

Hur, Youngmi ; Lim, Hyojae. / Understanding the Scattering Transform Using Univariate Signals. Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018. editor / Qingli Li ; Wei Li ; Lipo Wang. Institute of Electrical and Electronics Engineers Inc., 2019. (Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018).

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abstract = "In this paper, we review the scattering transform in the univariate setting. After reviewing its properties including translation invariance, stability under small diffeomorphism, and ability to carry high-frequency information, we investigate how these properties can be used in understanding the effect of the scattering transform when various types of signal deformation are considered. We find that, together with the Fourier transform modulus, the scattering transform can be used in classifying some of these deformations.",

author = "Youngmi Hur and Hyojae Lim",

note = "Funding Information: ACKNOWLEDGMENT This research was supported in part by the National Research Foundation of Korea (NRF) [Grant Number 20151009350]. Publisher Copyright: {\textcopyright} 2018 IEEE.; 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018 ; Conference date: 13-10-2018 Through 15-10-2018",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Hur, Y & Lim, H 2019, Understanding the Scattering Transform Using Univariate Signals. in Q Li, W Li & L Wang (eds), Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018., 8633161, Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018, Institute of Electrical and Electronics Engineers Inc., 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018, Beijing, China, 18/10/13. https://doi.org/10.1109/CISP-BMEI.2018.8633161

Understanding the Scattering Transform Using Univariate Signals. / Hur, Youngmi; Lim, Hyojae.

Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018. ed. / Qingli Li; Wei Li; Lipo Wang. Institute of Electrical and Electronics Engineers Inc., 2019. 8633161 (Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Hur Y, Lim H. Understanding the Scattering Transform Using Univariate Signals. In Li Q, Li W, Wang L, editors, Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018. Institute of Electrical and Electronics Engineers Inc. 2019. 8633161. (Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018). doi: 10.1109/CISP-BMEI.2018.8633161

Understanding the Scattering Transform Using Univariate Signals

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