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Paper Abstract and Keywords
Presentation 2023-12-21 15:25
A linear time approximation of Wasserstein distance with word embedding selection
Sho Otao (Kyoto Univ.), Makoto Yamada (OIST) IBISML2023-38
Abstract (in Japanese) (See Japanese page) 
(in English) Wasserstein distance, which can be computed by solving the optimal transport problem, is a powerful method for measuring the distance between distributions. In the NLP community, it is referred as word mover's distance to measure dissimilarity between documents, treating documents as word distributions. One of the key challenges of Wasserstein distance is its computational cost since it needs cubic time. Although the Sinkhorn algorithm is a powerful tool to speed up to compute the Wasserstein distance, it still requires square time. Recently, a linear time approximation of the Wasserstein distance including the sliced Wasserstein and the tree-Wasserstein distance has been proposed. However, the linear time approximation method suffers when the dimensionality of input vectors is high. In this study, we propose a method to combine feature selection and tree approximation of Wasserstein distance to handle high-dimensional problems and compute dissimilarity between documents rapidly. More specifically, we concatenate multiple word embeddings and automatically select useful word embeddings from a concatenated embedding in a tree approximation of Wasserstein distance. To this end, we approximate Wasserstein distance for each word vector by tree approximation technique, and select the discriminative (i.e., large Wasserstein distance) word embeddings by solving an entropic regularized maximization problem. Through our synthetic experiments, we confirmed the efficacy of feature selection in our proposed method. Through our experiments on document classification, our proposed method outperformed the method that directly uses the concatenated embedding and achieved consistently high performance on all datasets.
Keyword (in Japanese) (See Japanese page) 
(in English) Optimal Transport / Group Feature Selection / Document Classification / Word Embedding / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 311, IBISML2023-38, pp. 50-57, Dec. 2023.
Paper # IBISML2023-38 
Date of Issue 2023-12-13 (IBISML) 
ISSN Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee IBISML  
Conference Date 2023-12-20 - 2023-12-21 
Place (in Japanese) (See Japanese page) 
Place (in English) National Institute of Informatics 
Topics (in Japanese) (See Japanese page) 
Topics (in English) machine learning, etc. 
Paper Information
Registration To IBISML 
Conference Code 2023-12-IBISML 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A linear time approximation of Wasserstein distance with word embedding selection 
Sub Title (in English)  
Keyword(1) Optimal Transport  
Keyword(2) Group Feature Selection  
Keyword(3) Document Classification  
Keyword(4) Word Embedding  
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1st Author's Name Sho Otao  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Makoto Yamada  
2nd Author's Affiliation Okinawa Institute of Science and Technology (OIST)
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Speaker Author-1 
Date Time 2023-12-21 15:25:00 
Presentation Time 25 minutes 
Registration for IBISML 
Paper # IBISML2023-38 
Volume (vol) vol.123 
Number (no) no.311 
Page pp.50-57 
#Pages
Date of Issue 2023-12-13 (IBISML) 


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