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Paper Abstract and Keywords
Presentation 2017-09-16 14:05
[Invited Talk] Transportation aspect of deep neural network
Sho Sonoda (Waseda Univ.) PRMU2017-60 IBISML2017-32
Abstract (in Japanese) (See Japanese page) 
(in English) What is happening in deep neural networks? In this talk, we formulate them as transport maps. From the transportation viewpoint, we can identify a deep neural network with trajectories on both the Euclidean and Wasserstein spaces. We derive the transport map of denoising autoencoders (DAEs) in an analytic form. We can understand that what deep networks do is to transport mass to decrease a certain potential functional of the data distribution.
Keyword (in Japanese) (See Japanese page) 
(in English) deep neural network / transport map / continuity equation / Wasserstein gradient flow / denoising autoencoder / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 210, PRMU2017-60, pp. 185-188, Sept. 2017.
Paper # PRMU2017-60 
Date of Issue 2017-09-08 (PRMU, IBISML) 
ISSN Print edition: ISSN 0913-5685    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 PRMU2017-60 IBISML2017-32

Conference Information
Committee PRMU IBISML IPSJ-CVIM  
Conference Date 2017-09-15 - 2017-09-16 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
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Paper Information
Registration To PRMU 
Conference Code 2017-09-PRMU-IBISML-CVIM 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Transportation aspect of deep neural network 
Sub Title (in English)  
Keyword(1) deep neural network  
Keyword(2) transport map  
Keyword(3) continuity equation  
Keyword(4) Wasserstein gradient flow  
Keyword(5) denoising autoencoder  
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1st Author's Name Sho Sonoda  
1st Author's Affiliation Waseda University (Waseda Univ.)
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Speaker Author-1 
Date Time 2017-09-16 14:05:00 
Presentation Time 60 minutes 
Registration for PRMU 
Paper # PRMU2017-60, IBISML2017-32 
Volume (vol) vol.117 
Number (no) no.210(PRMU), no.211(IBISML) 
Page pp.185-188 
#Pages 4 
Date of Issue 2017-09-08 (PRMU, IBISML) 

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