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| Presentation | 2019-05-29 13:25 Development of a conservation operator of an additive discrete optimum approximation operator on a multi-dimensional manifold to the theory of discrete control and network flow Takuro Kida (Tokyo Tech. Prof EM), Yuichi Kida (Ohu Univ.)  RCC2019-2 MICT2019-2 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | On the condition that a matrix analysis-operator and a matrix sampling-operator in an additive matrix operator-filterbank are given, we present the optimum matrix synthesis-operator that minimizes all the worst-case measures of the matrix error-operator between the matrix input-operator and the matrix output-operator of the additive matrix operator-filterbank, at the same time. In this theory, the set of matrix input-operators is the set of operators that gives the matrix output-operators contained in the set of matrix input-operators. This additive matrix operator-filterbank to the matrix input-operator is considered the approximation using discrete sample values on a multidimensional manifold. Because the additive predicting-operator of the matrix input-operator contains IIR operators with feedback, it can be applied to the theory of discrete control system on the manifold. Defining the degree of conformity on each node of the discrete network and the flow on each edge of the Internet network, we present a conservative relation that holds among all the edges in the network. Further, we define a subtractive conservation-operator on each edge of the network and present a relation between a set of source-operators and an edge containing the error. From this point of view, we discuss the sudden concentration of connected channel numbers in the network. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | signal approximation / pseudo inverse matrix / additive operator / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 119, no. 58, RCC2019-2, pp. 5-10, May 2019. | |
| Paper # | RCC2019-2 | |
| Date of Issue | 2019-05-22 (RCC, MICT) | |
| 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 | RCC2019-2 MICT2019-2 |
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| Conference Information | |
| Committee | RCC MICT |
| Conference Date | 2019-05-29 - 2019-05-30 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | TOKYO BIG SIGHT |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | RCC |
| Conference Code | 2019-05-RCC-MICT |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Development of a conservation operator of an additive discrete optimum approximation operator on a multi-dimensional manifold to the theory of discrete control and network flow |
| Sub Title (in English) | |
| Keyword(1) | signal approximation |
| Keyword(2) | pseudo inverse matrix |
| Keyword(3) | additive operator |
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| 1st Author's Name | Takuro Kida |
| 1st Author's Affiliation | Tokyo Institute of Technology, Prof EM (Tokyo Tech. Prof EM) |
| 2nd Author's Name | Yuichi Kida |
| 2nd Author's Affiliation | The School of Pharmaceutical sciences, Ohu University (Ohu Univ.) |
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| Speaker | Author-1 |
| Date Time | 2019-05-29 13:25:00 |
| Presentation Time | 25 minutes |
| Registration for | RCC |
| Paper # | RCC2019-2, MICT2019-2 |
| Volume (vol) | vol.119 |
| Number (no) | no.58(RCC), no.59(MICT) |
| Page | pp.5-10 |
| #Pages | 6 |
| Date of Issue | 2019-05-22 (RCC, MICT) |
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