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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 32

Alternating Circulant Random Features for Semigroup Kernels

March 15, 2023

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Published Date: 2018-02-08

Registration: ISSN 2374-3468 (Online) ISSN 2159-5399 (Print)

Copyright: Published by AAAI Press, Palo Alto, California USA Copyright © 2018, Association for the Advancement of Artificial Intelligence All Rights Reserved.

Authors

Yusuke Mukuta

The University of Tokyo


Yoshitaka Ushiku

The University of Tokyo


Tatsuya Harada

The University of Tokyo and RIKEN AIP


DOI:

10.1609/aaai.v32i1.11674


Abstract:

The random features method is an efficient method to approximate the kernel function. In this paper, we propose novel random features called "alternating circulant random features,'' which consist of a random mixture of independent random structured matrices. Existing fast random features exploit random sign flipping to reduce the correlation between features. Sign flipping works well on random Fourier features for real-valued shift-invariant kernels because the corresponding weight distribution is symmetric. However, this method cannot be applied to random Laplace features directly because the distribution is not symmetric. The method proposed herein yields alternating circulant random features, with the correlation between features being reduced through the random sampling of weights from multiple independent random structured matrices instead of via random sign flipping. The proposed method facilitates rapid calculation by employing structured matrices. In addition, the weight distribution is preserved because sign flipping is not implemented. The performance of the proposed alternating circulant random features method is theoretically and empirically evaluated.

Topics: AAAI

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HOW TO CITE:

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada Alternating Circulant Random Features for Semigroup Kernels Proceedings of the AAAI Conference on Artificial Intelligence, 32 (2018) .

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada Alternating Circulant Random Features for Semigroup Kernels AAAI 2018, .

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada (2018). Alternating Circulant Random Features for Semigroup Kernels. Proceedings of the AAAI Conference on Artificial Intelligence, 32, .

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. Alternating Circulant Random Features for Semigroup Kernels. Proceedings of the AAAI Conference on Artificial Intelligence, 32 2018 p..

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. 2018. Alternating Circulant Random Features for Semigroup Kernels. "Proceedings of the AAAI Conference on Artificial Intelligence, 32". .

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. (2018) "Alternating Circulant Random Features for Semigroup Kernels", Proceedings of the AAAI Conference on Artificial Intelligence, 32, p.

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada, "Alternating Circulant Random Features for Semigroup Kernels", AAAI, p., 2018.

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. "Alternating Circulant Random Features for Semigroup Kernels". Proceedings of the AAAI Conference on Artificial Intelligence, 32, 2018, p..

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. "Alternating Circulant Random Features for Semigroup Kernels". Proceedings of the AAAI Conference on Artificial Intelligence, 32, (2018): .

Yusuke Mukuta||Yoshitaka Ushiku||Tatsuya Harada. Alternating Circulant Random Features for Semigroup Kernels. AAAI[Internet]. 2018[cited 2023]; .


ISSN: 2374-3468


Published by AAAI Press, Palo Alto, California USA
Copyright 2022, Association for the Advancement of
Artificial Intelligence 1900 Embarcadero Road, Suite
101, Palo Alto, California 94303 All Rights Reserved

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