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Paper Abstract and Keywords
Presentation 2023-03-02 11:30
A trial on estimating the volume of n-dimensional polytope using the multivariate Laplace transformation
Ei Ando (Senshu Univ.), Christian Engels (NII) COMP2022-34
Abstract (in Japanese) (See Japanese page) 
(in English) It is often hard to compute the volume of an $n$-dimensional polytope. We consider the volume of the intersection of multiple cross polytopes, which is $#P$-hard to compute. We develop a technique to find the closed form of the polytope volume using the multivariate Laplace transformation.
Keyword (in Japanese) (See Japanese page) 
(in English) high-dimensional polytope / volume / cross polytope / #P-hardness / Laplace transformation / approximation algorithm / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 414, COMP2022-34, pp. 7-14, March 2023.
Paper # COMP2022-34 
Date of Issue 2023-02-23 (COMP) 
ISSN 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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2022-34

Conference Information
Committee COMP  
Conference Date 2023-03-02 - 2023-03-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Ochanomizu University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Theoretical Computer Science, etc 
Paper Information
Registration To COMP 
Conference Code 2023-03-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A trial on estimating the volume of n-dimensional polytope using the multivariate Laplace transformation 
Sub Title (in English)  
Keyword(1) high-dimensional polytope  
Keyword(2) volume  
Keyword(3) cross polytope  
Keyword(4) #P-hardness  
Keyword(5) Laplace transformation  
Keyword(6) approximation algorithm  
1st Author's Name Ei Ando  
1st Author's Affiliation Senshu University (Senshu Univ.)
2nd Author's Name Christian Engels  
2nd Author's Affiliation NII (NII)
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Date Time 2023-03-02 11:30:00 
Presentation Time 30 minutes 
Registration for COMP 
Paper # COMP2022-34 
Volume (vol) vol.122 
Number (no) no.414 
Page pp.7-14 
Date of Issue 2023-02-23 (COMP) 

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