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Paper Abstract and Keywords
Presentation 2019-11-28 13:25
A Multiplication by a Neural Network (NN) with Power Activations and a Polynomial Enclosure for a NN with Parametric ReLU Functions
Kazuya Ozawa, Kaito Isogai, Toshihiro Tachibana, Hideo Nakano, Hideaki Okazaki (SIT) CAS2019-49 MSS2019-28
Abstract (in Japanese) (See Japanese page) 
(in English) Since a series of successes of Deep neural networks (DNNs) with rectified linear units (ReLUs), many approximations by NNs with ReLUs, parametric rectified linear units (PReLUs), or rectified power units (RePUs) have been focused on. However how to obtain the parameters of NNs with PReLUs, approximating polynomials, have not been fully discussed. In this paper for finding such parameters, a multiplication of NNs with n-th power (P) activation and a polynomial enclosure of NN with PReLUs are discussed.
Keyword (in Japanese) (See Japanese page) 
(in English) Parametric rectified linear units / Neural Network / Polynomial function enclosure / / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 313, CAS2019-49, pp. 27-32, Nov. 2019.
Paper # CAS2019-49 
Date of Issue 2019-11-21 (CAS, MSS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CAS2019-49 MSS2019-28

Conference Information
Committee CAS MSS IPSJ-AL  
Conference Date 2019-11-28 - 2019-11-29 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To CAS 
Conference Code 2019-11-CAS-MSS-AL 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Multiplication by a Neural Network (NN) with Power Activations and a Polynomial Enclosure for a NN with Parametric ReLU Functions 
Sub Title (in English)  
Keyword(1) Parametric rectified linear units  
Keyword(2) Neural Network  
Keyword(3) Polynomial function enclosure  
1st Author's Name Kazuya Ozawa  
1st Author's Affiliation Shonan Institute of Technology (SIT)
2nd Author's Name Kaito Isogai  
2nd Author's Affiliation Shonan Institute of Technology (SIT)
3rd Author's Name Toshihiro Tachibana  
3rd Author's Affiliation Shonan Institute of Technology (SIT)
4th Author's Name Hideo Nakano  
4th Author's Affiliation Shonan Institute of Technology (SIT)
5th Author's Name Hideaki Okazaki  
5th Author's Affiliation Shonan Institute of Technology (SIT)
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Date Time 2019-11-28 13:25:00 
Presentation Time 25 
Registration for CAS 
Paper # IEICE-CAS2019-49,IEICE-MSS2019-28 
Volume (vol) IEICE-119 
Number (no) no.313(CAS), no.314(MSS) 
Page pp.27-32 
#Pages IEICE-6 
Date of Issue IEICE-CAS-2019-11-21,IEICE-MSS-2019-11-21 

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