Presentation 2020-03-02
Dimension reduction without multiplication in machine learning
Nobutaka Ono,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this study, we propose a dimension reduction method for machine learning by only selecting elements without multiplication. In machine learning, the dimension reduction is an important preprocessing that reduces unnecessary model parameters, and it alleviates over-fitting and improves learning speed. One of the basic and frequently used methods is principal component analysis (PCA). However, since PCA requires matrix multiplication, it is not suitable for a system with limited computational power such as hearing aids and embedded devices. The number of times of multiplication in PCA itself may cause a large calculation load. In this study, to reduce the amount of calculation in dimension reduction, we consider dimension reduction only by element selection. What is essential at this time is which elements of the input vector are selected. In this study, we consider an objective function defined as the reconstruction loss of a linear autoencoder, and this is formulated as a discrete optimization problem that selects the element that minimizes it. Also, we propose a method to solve this problem by sequentially replacing elements chosen so that the objective function becomes smaller. The calculation of the objective function includes the inverse matrix operation. An algorithm that significantly reduces the amount of computation using the inverse matrix lemma is described. Preliminary experimental results for video show the effectiveness of this method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) dimension reduction / machine learning / element seelction / multiplication / computational cost
Paper # EA2019-104,SIP2019-106,SP2019-53
Date of Issue 2020-02-24 (EA, SIP, SP)

Conference Information
Committee SP / EA / SIP
Conference Date 2020/3/2(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Okinawa Industry Support Center
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Hisashi Kawai(NICT) / Kenichi Furuya(Oita Univ.) / Naoyuki Aikawa(TUS)
Vice Chair Akinobu Ri(Nagoya Inst. of Tech.) / Suehiro Shimauchi(Kanazawa Inst. of Tech.) / Shigeto Takeoka(Shizuoka Inst. of Science and Tech.) / Kazunori Hayashi(Osaka City Univ) / Yukihiro Bandou(NTT)
Secretary Akinobu Ri(Kyoto Univ.) / Suehiro Shimauchi(Waseda Univ.) / Shigeto Takeoka(NHK) / Kazunori Hayashi(Univ. of Tokyo) / Yukihiro Bandou(Hiroshima Univ.)
Assistant Tomoki Koriyama(Univ. of Tokyo) / Yusuke Ijima(NTT) / Keisuke Imoto(Ritsumeikan Univ.) / Daisuke Morikawa(Toyama Pref Univ.) / Kenjiro Sugimoto(Waseda Univ.)

Paper Information
Registration To Technical Committee on Speech / Technical Committee on Engineering Acoustics / Technical Committee on Signal Processing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Dimension reduction without multiplication in machine learning
Sub Title (in English)
Keyword(1) dimension reduction
Keyword(2) machine learning
Keyword(3) element seelction
Keyword(4) multiplication
Keyword(5) computational cost
1st Author's Name Nobutaka Ono
1st Author's Affiliation Tokyo Metropolitan University(TMU)
Date 2020-03-02
Paper # EA2019-104,SIP2019-106,SP2019-53
Volume (vol) vol.119
Number (no) EA-439,SIP-440,SP-441
Page pp.pp.21-26(EA), pp.21-26(SIP), pp.21-26(SP),
#Pages 6
Date of Issue 2020-02-24 (EA, SIP, SP)