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Data representation using the Weyl transform

Publication ,  Conference
Qiu, Q; Thompson, A; Calderbank, R; Sapiro, G
Published in: 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings
January 1, 2015

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.

Duke Scholars

Published In

3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings

Publication Date

January 1, 2015
 

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Qiu, Q., Thompson, A., Calderbank, R., & Sapiro, G. (2015). Data representation using the Weyl transform. In 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings.
Qiu, Q., A. Thompson, R. Calderbank, and G. Sapiro. “Data representation using the Weyl transform.” In 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings, 2015.
Qiu Q, Thompson A, Calderbank R, Sapiro G. Data representation using the Weyl transform. In: 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings. 2015.
Qiu, Q., et al. “Data representation using the Weyl transform.” 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings, 2015.
Qiu Q, Thompson A, Calderbank R, Sapiro G. Data representation using the Weyl transform. 3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings. 2015.

Published In

3rd International Conference on Learning Representations, ICLR 2015 - Workshop Track Proceedings

Publication Date

January 1, 2015