IEICE TRANSACTIONS on Information
A New Approach of Matrix Factorization on Complex Domain for Data Representation
Summary :
This work presents a new approach which derives a learned data representation method through matrix factorization on the complex domain. In particular, we introduce an encoding matrix-a new representation of data-that satisfies the simplicial constraint of the projective basis matrix on the field of complex numbers. A complex optimization framework is provided. It employs the gradient descent method and computes the derivative of the cost function based on Wirtinger's calculus.
- Publication
- IEICE TRANSACTIONS on Information Vol.E100-D No.12 pp.3059-3063
- Publication Date
- 2017/12/01
- Publicized
- 2017/09/15
- Online ISSN
- 1745-1361
- DOI
- 10.1587/transinf.2017EDL8115
- Type of Manuscript
- LETTER
- Category
- Pattern Recognition
Authors
Viet-Hang DUONG
National Central University
Manh-Quan BUI
National Central University
Jian-Jiun DING
National Taiwan University
Yuan-Shan LEE
National Central University
Bach-Tung PHAM
National Central University
Pham The BAO
University of Science
Jia-Ching WANG
National Central University
Keyword
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Viet-Hang DUONG, Manh-Quan BUI, Jian-Jiun DING, Yuan-Shan LEE, Bach-Tung PHAM, Pham The BAO, Jia-Ching WANG, "A New Approach of Matrix Factorization on Complex Domain for Data Representation" in IEICE TRANSACTIONS on Information,
vol. E100-D, no. 12, pp. 3059-3063, December 2017, doi: 10.1587/transinf.2017EDL8115.
Abstract: This work presents a new approach which derives a learned data representation method through matrix factorization on the complex domain. In particular, we introduce an encoding matrix-a new representation of data-that satisfies the simplicial constraint of the projective basis matrix on the field of complex numbers. A complex optimization framework is provided. It employs the gradient descent method and computes the derivative of the cost function based on Wirtinger's calculus.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2017EDL8115/_p
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@ARTICLE{e100-d_12_3059,
author={Viet-Hang DUONG, Manh-Quan BUI, Jian-Jiun DING, Yuan-Shan LEE, Bach-Tung PHAM, Pham The BAO, Jia-Ching WANG, },
journal={IEICE TRANSACTIONS on Information},
title={A New Approach of Matrix Factorization on Complex Domain for Data Representation},
year={2017},
volume={E100-D},
number={12},
pages={3059-3063},
abstract={This work presents a new approach which derives a learned data representation method through matrix factorization on the complex domain. In particular, we introduce an encoding matrix-a new representation of data-that satisfies the simplicial constraint of the projective basis matrix on the field of complex numbers. A complex optimization framework is provided. It employs the gradient descent method and computes the derivative of the cost function based on Wirtinger's calculus.},
keywords={},
doi={10.1587/transinf.2017EDL8115},
ISSN={1745-1361},
month={December},}
Copy
TY - JOUR
TI - A New Approach of Matrix Factorization on Complex Domain for Data Representation
T2 - IEICE TRANSACTIONS on Information
SP - 3059
EP - 3063
AU - Viet-Hang DUONG
AU - Manh-Quan BUI
AU - Jian-Jiun DING
AU - Yuan-Shan LEE
AU - Bach-Tung PHAM
AU - Pham The BAO
AU - Jia-Ching WANG
PY - 2017
DO - 10.1587/transinf.2017EDL8115
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E100-D
IS - 12
JA - IEICE TRANSACTIONS on Information
Y1 - December 2017
AB - This work presents a new approach which derives a learned data representation method through matrix factorization on the complex domain. In particular, we introduce an encoding matrix-a new representation of data-that satisfies the simplicial constraint of the projective basis matrix on the field of complex numbers. A complex optimization framework is provided. It employs the gradient descent method and computes the derivative of the cost function based on Wirtinger's calculus.
ER -
English
