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Presentation 2022-05-20 14:00
Hadamard-Coded Supervised Discrete Hashing on Quaternion Domain
Manabu Sueyasu (The Univ. Kitakyushu), Seisuke Kyochi (Kogakuin Univ.), Gou Koutaki (Kumamoto Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) This paper extends Hadamard-coded supervised discrete hashing on real domain (termed as $mathbb{R}$-HCSDH) using a real-valued kernel transformation ($mathbb{R}$KT) to one on complex/quaternion domain (termed as $mathbb{C}$-HCSDH/$mathbb{H}$-HCSDH) using complex/quaternion-valued KTs ($mathbb{C}$KT/$mathbb{H}$KT). Supervised discrete hashing has recently attracted for its efficiency in data retrieval. Efficient learning of a hashing function is at the core of SDH, and many methods have been proposed. Among them, HCSDH simplifies the learning process by introducing Hadamard codes and shows its efficiency. Although many studies on SDH, including HCSDH, focus on hashing function learning, KT, which is an initial step of SDH to generate a feature vector, also affects performance but has received less attention. This motivates us to establish more effective KTs in this work. Since conventional KTs are $mathbb{R}$KTs that only consider the distance between the input data and each anchor chosen from a training dataset, it cannot distinguish two anchors being equidistant. To solve this problem, we introduce $mathbb{C}$KT/$mathbb{H}$KT to consider not only the distance but also the angle between the input data and each anchor. Moreover, under the $mathbb{C}$KT and the $mathbb{H}$KT, we verify that Hadamard codes are still optimal for the HCSDH model. Experimental results show $mathbb{C}$-HCSDH and $mathbb{H}$-HCSDH outperform $mathbb{R}$-HCSDH in (cross-modal) data retrieval.
Keyword (in Japanese) (See Japanese page) 
(in English) Binary Hashing / Hadamard Code / Discrete Hashing / Kernel Transformation / Complex Number / Quaternion Number / /  
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Conference Information
Committee IEICE-SIP IEICE-BioX IEICE-IE IEICE-MI IST ME  
Conference Date 2022-05-19 - 2022-05-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Kumamoto University 
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To IEICE-SIP 
Conference Code 2022-05-SIP-BioX-IE-MI-IST-ME 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Hadamard-Coded Supervised Discrete Hashing on Quaternion Domain 
Sub Title (in English)  
Keyword(1) Binary Hashing  
Keyword(2) Hadamard Code  
Keyword(3) Discrete Hashing  
Keyword(4) Kernel Transformation  
Keyword(5) Complex Number  
Keyword(6) Quaternion Number  
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1st Author's Name Manabu Sueyasu  
1st Author's Affiliation The University of Kitakyushu (The Univ. Kitakyushu)
2nd Author's Name Seisuke Kyochi  
2nd Author's Affiliation Kogakuin University (Kogakuin Univ.)
3rd Author's Name Gou Koutaki  
3rd Author's Affiliation Kumamoto University (Kumamoto Univ.)
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Date Time 2022-05-20 14:00:00 
Presentation Time 20 minutes 
Registration for IEICE-SIP 
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Volume (vol) vol.46 
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