Novel Approach: Information Quantity for Calculating Uncertainty of Mathematical Model

Menin, Boris

doi:10.3390/is4si-2017-04034

Cited by 4 publications

(2 citation statements)

References 35 publications

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“…The results of the theoretical conclusions of the informational method have been applied to several practical problems, including the measurement of a physical constant [13], the determination of the required simplicity of a physical law [9], and the evaluation of the efficiency of a technological process (thermal energy accumulation and ice maker performance) [23] [24] [25] [26].…”

Section: B Meninmentioning

confidence: 99%

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Menin¹

2023

JAMP

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When building a model of a physical phenomenon or process, scientists face an inevitable compromise between the simplicity of the model (qualitativequantitative set of variables) and its accuracy. For hundreds of years, the visual simplicity of a law testified to the genius and depth of the physical thinking of the scientist who proposed it. Currently, the desire for a deeper physical understanding of the surrounding world and newly discovered physical phenomena motivates researchers to increase the number of variables considered in a model. This direction leads to an increased probability of choosing an inaccurate or even erroneous model. This study describes a method for estimating the limit of measurement accuracy, taking into account the stage of model building in terms of storage, transmission, processing and use of information by the observer. This limit, due to the finite amount of information stored in the model, allows you to select the optimal number of variables for the best reproduction of the observed object and calculate the exact values of the threshold discrepancy between the model and the phenomenon under study in measurement theory. We consider two examples: measurement of the speed of sound and measurement of physical constants.

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Section: B Meninmentioning

confidence: 99%

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Menin¹

2023

JAMP

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“…The purpose of this research article is to provide a theoretically substantiated application of the phenomenon of random choice of a variable observed when formulating a model of any physical process. The article is based on the use of the basic element-the finite information quantity (FIQ) [2]-and the implementation of the information method described in [3,4]. Examples are introduced.…”

Section: Introductionmentioning

confidence: 99%

Informational Restrictions in the Formulation of Physical Laws by Researchers

Menin¹

2022

The 2021 Summit of the International Society for the Study of Information

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Uncertainty Estimation of Refrigeration Equipment Using the Information Approach

Menin¹

2020

JAMP

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Aims: The purpose of this work is to present the information approach as the only effective tool that allows us to calculate the uncertainty of any result of the study on the use of refrigeration equipment. Methodology: Using the definitions and formulas of information theory and similarity theory, the amount of information contained in a model of refrigeration equipment or process is calculated. This allows us to present formulas for calculating the relative and comparative uncertainties of the model without additional assumptions. Based on these formulas, the value of the inevitable threshold of the accuracy of the representation of the studied construction or process is determined. Results: Theoretically substantiated recommendations are formulated for choosing the most effective methods for analyzing refrigeration equipment are formulated. Conclusion: Having calculated the amount of information contained in the model, we presented practical methods for analyzing data on refrigeration equipment.

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Novel Approach: Information Quantity for Calculating Uncertainty of Mathematical Model

Cited by 4 publications

References 35 publications

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Unleashing the Power of Information Theory: Enhancing Accuracy in Modeling Physical Phenomena

Informational Restrictions in the Formulation of Physical Laws by Researchers

Uncertainty Estimation of Refrigeration Equipment Using the Information Approach

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