| Presentation | 2019-05-29 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, Yuichi Kida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | signal approximationpseudo inverse matrixadditive operator |
| Paper # | RCC2019-2,MICT2019-2 |
| Date of Issue | 2019-05-22 (RCC, MICT) |
| Conference Information | |
| Committee | RCC / MICT |
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| Conference Date | 2019/5/29(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | TOKYO BIG SIGHT |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Kazunori Hayashi(Osaka City Univ.) / Shinsuke Hara(Osaka City Univ.) |
| Vice Chair | Shunichi Azuma(Nagoya Univ.) / HUAN-BANG LI(NICT) / Chika Sugimoto(Yokohama National Univ.) / Eisuke Hanada(Saga Univ.) |
| Secretary | Shunichi Azuma(Kagawa Univ.) / HUAN-BANG LI(Osaka Univ.) / Chika Sugimoto(Nagoya Inst. of Tech.) / Eisuke Hanada(Meiji Univ.) |
| Assistant | Toshinori Kagawa(NICT) / Masateru Ogura(NAIST) / Takumi Kobayashi(Yokohama National Univ.) / Shintaro Izumi(Kobe Univ.) / Ami Tanaka(Ritsumeikan Univ.) / Keita Saku(Kyushu Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Reliable Communication and Control / Technical Committee on Healthcare and Medical Information Communication Technology |
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| Language | ENG |
| 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 approximationpseudo inverse matrixadditive operator |
| 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.) |
| Date | 2019-05-29 |
| Paper # | RCC2019-2,MICT2019-2 |
| Volume (vol) | vol.119 |
| Number (no) | RCC-58,MICT-59 |
| Page | pp.pp.5-10(RCC), pp.5-10(MICT), |
| #Pages | 6 |
| Date of Issue | 2019-05-22 (RCC, MICT) |