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| Presentation | 2021-11-19 15:20 Category-base theory of the optimum signal approximation clarifying the importance of parallel worlds in the recognition of human and application to secure signal communication with feedback Takuro Kida (Tokyo Tech.), Yuichi Kida (Ohu Univ.)  CCS2021-35 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We show a base of the new trend of algorithm mathematically that treats a historical reason of continuous discrimination in the world as well as its solution by introducing new concepts of parallel world that includes an invisible set of errors as its companion.\ hspace*{3mm}With respect to a matrix operator-filter bank that the matrix operator-analysis-filter bank ${bf H}$ and the matrix operator-sampling-filter bank ${bf S}$ are given, firstly, we introduce the detail algorithm to derive the optimum matrix operator-synthesis-filter bank ${bf Z}$ that minimizes all the worst-case measures of the matrix operator-error-signals ${bf E}(omega)={bf F}(omega)-{bf Y}(omega)$ between the matrix operator-input-signals ${bf F}(omega)$ and the matrix operator-output-signals ${bf Y(omega)}$ of the matrix operator-filter bank at the same time. Further, feedback is introduced to the above approximation theory and it is indicated that introducing conversations with feedback do not superior automatically to the accumulation of existing knowledge of signal prediction. Secondly, the concept of category in the field of mathematics is applied to the above optimum signal approximation and is indicated that the category-based approximation theory is applied to the set-theoretic consideration of the recognition of human. Based on this discussion, it is shown naturally, why the narrow perception that tends to create isolation shows an apparent advantage in the short term and, often, why such narrow thinking becomes intimate with discriminatory action in a human group. Throughout these considerations, it is presented that, in order to abolish easy and intimate discriminatory behavior, it is important create a parallel world of conception where we share the set of invisible error signals including the words and the consciousness of both worlds. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | the optimum signal prediction / matrix operator-filter bank / category theory / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 121, no. 253, CCS2021-35, pp. 100-105, Nov. 2021. | |
| Paper # | CCS2021-35 | |
| Date of Issue | 2021-11-11 (CCS) | |
| 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 | CCS2021-35 |
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| Conference Information | |
| Committee | CCS |
| Conference Date | 2021-11-18 - 2021-11-19 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Osaka Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | CCS |
| Conference Code | 2021-11-CCS |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Category-base theory of the optimum signal approximation clarifying the importance of parallel worlds in the recognition of human and application to secure signal communication with feedback |
| Sub Title (in English) | |
| Keyword(1) | the optimum signal prediction |
| Keyword(2) | matrix operator-filter bank |
| Keyword(3) | category theory |
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| 1st Author's Name | Takuro Kida |
| 1st Author's Affiliation | Professor Emeritus, Tokyo Institute of Technology (Tokyo Tech.) |
| 2nd Author's Name | Yuichi Kida |
| 2nd Author's Affiliation | Ohu University (Ohu Univ.) |
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| Speaker | Author-1 |
| Date Time | 2021-11-19 15:20:00 |
| Presentation Time | 25 minutes |
| Registration for | CCS |
| Paper # | CCS2021-35 |
| Volume (vol) | vol.121 |
| Number (no) | no.253 |
| Page | pp.100-105 |
| #Pages | 6 |
| Date of Issue | 2021-11-11 (CCS) |
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