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Paper Abstract and Keywords
Presentation 2023-05-12 09:50
Relation on Unconstrained Convex Quadratic Programming between Gradient Method and Numerical Discretization of Gradient Flow
Ayano Nakai-Kasai, Tadashi Wadayama (NITech) IT2023-7 EMM2023-7
Abstract (in Japanese) (See Japanese page) 
(in English) This paper proves one of the properties in terms of gradient descent method and gradient flow. For unconstrained convex quadratic programming problem, the stepsize maximizing the stability of numerical method based on Runge-Kutta method for gradient system is identical to the optimal stepsize for discrete gradient descent method known as Chebyshev step.
Keyword (in Japanese) (See Japanese page) 
(in English) Optimization / steepest descent method / gradient flow / differential equation / numerical method / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 14, IT2023-7, pp. 31-36, May 2023.
Paper # IT2023-7 
Date of Issue 2023-05-04 (IT, EMM) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IT2023-7 EMM2023-7

Conference Information
Committee EMM IT  
Conference Date 2023-05-11 - 2023-05-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Rakuyu Kaikan (Kyoto Univ. Yoshida-South Campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Information Security, Information Theory, Information Hiding, etc. 
Paper Information
Registration To IT 
Conference Code 2023-05-EMM-IT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Relation on Unconstrained Convex Quadratic Programming between Gradient Method and Numerical Discretization of Gradient Flow 
Sub Title (in English)  
Keyword(1) Optimization  
Keyword(2) steepest descent method  
Keyword(3) gradient flow  
Keyword(4) differential equation  
Keyword(5) numerical method  
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Keyword(7)  
Keyword(8)  
1st Author's Name Ayano Nakai-Kasai  
1st Author's Affiliation Nagoya Institute of Technology (NITech)
2nd Author's Name Tadashi Wadayama  
2nd Author's Affiliation Nagoya Institute of Technology (NITech)
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Speaker Author-1 
Date Time 2023-05-12 09:50:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2023-7, EMM2023-7 
Volume (vol) vol.123 
Number (no) no.14(IT), no.15(EMM) 
Page pp.31-36 
#Pages 6 
Date of Issue 2023-05-04 (IT, EMM) 

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