# Data Representation using the Weyl Transform

Source: [Data Representation using the Weyl Transform](<https://www.sota2.com/research/paper/68fa62011e209131ce9f724f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T20:11:29.310Z

Authors: Qiang Qiu, Andrew Thompson, Robert Calderbank, Guillermo Sapiro

Published: 2014-12-18T21:34:40.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1412.6134>)

[PDF](<https://arxiv.org/pdf/1412.6134.pdf>)