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Information Spaces and Efficient Information Accumulation in Calibration Problems

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Advances in Intelligent Systems, Computer Science and Digital Economics IV (CSDEIS 2022)

Part of the book series: Lecture Notes on Data Engineering and Communications Technologies ((LNDECT,volume 158))

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Abstract

We introduce and study information spaces that arise in the problem of calibration of a measuring system in the case when the measurement model is initially unknown. Information extracted from calibration measurements is proposed to be represented by an element of the corresponding information space endowed with a certain algebraic structure. We also consider the possibility of further improving the estimation accuracy by repeatedly measuring an unknown object of study, which leads to yet another information space of a different type. As a result, a processing algorithm is constructed that contains the accumulation of information of two types and the interaction of information flows with the concurrent arrival of calibration and measurements data. The study presents the mathematical basis for a data processing model in which different types of input data are processed as parallel and independent as possible, and finally, the corresponding types of accumulated information interact to produce a complete processing result.

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Acknowledgment

The reported study was supported by RFBR, research project number 19-29-09044.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Peter Golubtsov

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  1. Peter Golubtsov
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Correspondence to Peter Golubtsov .

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Editors and Affiliations

  1. International Center of Informatics and Computer Science, Faculty of Applied Mathematics, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    Zhengbing Hu

  2. School of Management, Wuhan University of Science and Technology, Wuhan, China

    Yong Wang

  3. Halmos College of Arts and Sciences, Nova Southeastern University, Fort Lauderdale, FL, USA

    Matthew He

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Golubtsov, P. (2023). Information Spaces and Efficient Information Accumulation in Calibration Problems. In: Hu, Z., Wang, Y., He, M. (eds) Advances in Intelligent Systems, Computer Science and Digital Economics IV. CSDEIS 2022. Lecture Notes on Data Engineering and Communications Technologies, vol 158. Springer, Cham. https://doi.org/10.1007/978-3-031-24475-9_5

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