Understanding the Scattering Transform Using Univariate Signals

Youngmi Hur, Hyojae Lim

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publicationProceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018
EditorsQingli Li, Wei Li, Lipo Wang
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538676042
DOIs
Publication statusPublished - 2019 Feb 1
Event11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018 - Beijing, China
Duration: 2018 Oct 132018 Oct 15

Publication series

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

Conference

Conference11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018
CountryChina
CityBeijing
Period18/10/1318/10/15

Fingerprint

Fourier Analysis
Mathematical transformations
Scattering
Invariance
Fourier transforms

All Science Journal Classification (ASJC) codes

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

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).
@inproceedings{4b280197f6fc4d35a2bba08c49f96b78,
title = "Understanding the Scattering Transform Using Univariate Signals",
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",
year = "2019",
month = "2",
day = "1",
doi = "10.1109/CISP-BMEI.2018.8633161",
language = "English",
series = "Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
editor = "Qingli Li and Wei Li and Lipo Wang",
booktitle = "Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018",
address = "United States",

}

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 proceedingConference contribution

TY - GEN

T1 - Understanding the Scattering Transform Using Univariate Signals

AU - Hur, Youngmi

AU - Lim, Hyojae

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85062827414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062827414&partnerID=8YFLogxK

U2 - 10.1109/CISP-BMEI.2018.8633161

DO - 10.1109/CISP-BMEI.2018.8633161

M3 - Conference contribution

T3 - Proceedings - 2018 11th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics, CISP-BMEI 2018

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

A2 - Li, Qingli

A2 - Li, Wei

A2 - Wang, Lipo

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

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). https://doi.org/10.1109/CISP-BMEI.2018.8633161