Data representation using the Weyl transform

Qiang Qiu; Andrew Thompson; Robert Calderbank; Guillermo Sapiro

Data representation using the Weyl transform

Qiang Qiu, Andrew Thompson, Robert Calderbank, Guillermo Sapiro

Research output: Contribution to conference › Paper › peer-review

Abstract

The Weyl transform is introduced as a rich framework for data representation. Transform coefficients are connected to the Walsh-Hadamard transform of multiscale autocorrelations, and different forms of dyadic periodicity in a signal are shown to appear as different features in its Weyl coefficients. The Weyl transform has a high degree of symmetry with respect to a large group of multiscale transformations, which allows compact yet discriminative representations to be obtained by pooling coefficients. The effectiveness of the Weyl transform is demonstrated through the example of textured image classification.

Original language	English (US)
State	Published - 2015
Externally published	Yes
Event	3rd International Conference on Learning Representations, ICLR 2015 - San Diego, United States Duration: May 7 2015 → May 9 2015

Conference

Conference	3rd International Conference on Learning Representations, ICLR 2015
Country/Territory	United States
City	San Diego
Period	5/7/15 → 5/9/15

All Science Journal Classification (ASJC) codes

Education
Linguistics and Language
Language and Linguistics
Computer Science Applications

Cite this

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title = "Data representation using the Weyl transform",

abstract = "The Weyl transform is introduced as a rich framework for data representation. Transform coefficients are connected to the Walsh-Hadamard transform of multiscale autocorrelations, and different forms of dyadic periodicity in a signal are shown to appear as different features in its Weyl coefficients. The Weyl transform has a high degree of symmetry with respect to a large group of multiscale transformations, which allows compact yet discriminative representations to be obtained by pooling coefficients. The effectiveness of the Weyl transform is demonstrated through the example of textured image classification.",

author = "Qiang Qiu and Andrew Thompson and Robert Calderbank and Guillermo Sapiro",

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TY - CONF

T1 - Data representation using the Weyl transform

AU - Qiu, Qiang

AU - Thompson, Andrew

AU - Calderbank, Robert

AU - Sapiro, Guillermo

PY - 2015

Y1 - 2015

N2 - The Weyl transform is introduced as a rich framework for data representation. Transform coefficients are connected to the Walsh-Hadamard transform of multiscale autocorrelations, and different forms of dyadic periodicity in a signal are shown to appear as different features in its Weyl coefficients. The Weyl transform has a high degree of symmetry with respect to a large group of multiscale transformations, which allows compact yet discriminative representations to be obtained by pooling coefficients. The effectiveness of the Weyl transform is demonstrated through the example of textured image classification.

AB - The Weyl transform is introduced as a rich framework for data representation. Transform coefficients are connected to the Walsh-Hadamard transform of multiscale autocorrelations, and different forms of dyadic periodicity in a signal are shown to appear as different features in its Weyl coefficients. The Weyl transform has a high degree of symmetry with respect to a large group of multiscale transformations, which allows compact yet discriminative representations to be obtained by pooling coefficients. The effectiveness of the Weyl transform is demonstrated through the example of textured image classification.

UR - http://www.scopus.com/inward/record.url?scp=85083952692&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85083952692&partnerID=8YFLogxK

M3 - Paper

AN - SCOPUS:85083952692

T2 - 3rd International Conference on Learning Representations, ICLR 2015

Y2 - 7 May 2015 through 9 May 2015

ER -

Data representation using the Weyl transform

Abstract

Conference

All Science Journal Classification (ASJC) codes

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