Information Theory Approach to Statistical Decision Problems

Bakut, P. A.

doi:10.1080/01969727108548635

Cited by 2 publications

(4 citation statements)

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“…Next we explain how to sequentially update, during the search, the two posterior possibility maps, Π 1 k (for target presence) and Π 0 k (for target absence). The proposed update equations follow from (3) and ( 4), when we apply the Bayes-like update rule (8).…”

Section: Information Statementioning

confidence: 99%

“…In this paper we focus on an area search for an unknown number of static targets using a realistic sensor on a single searching platform, conceptually similar to the problems discussed in [8][9][10]. The searching agent can be a drone, equipped with a sensor capable of detecting targets on the ground with a certain probability of detection (as a function of range) as well with some false alarm probability.…”

Section: Introductionmentioning

confidence: 99%

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A Possibilistic Formulation of Autonomous Search for Targets

Chen,

Ristic,

Kim

2024

Preprint

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Autonomous search is an ongoing cycle of sensing, statistical estimation and motion control with objective to find and localise targets in a designated search area. Traditionally, the theoretical framework for autonomous search combines the sequential Bayesian estimation with the information theoretic motion control. This paper formulates autonomous search in the framework of possibility theory. Although the possibilistic formulation is slightly more involved than the traditional, it provides means for quantitative modelling and reasoning in the presence of epistemic uncertainty. This feature is demonstrated in the paper in the context of partially known probability of detection, expressed as an interval value. The paper presents an elegant Bayes-like solution to sequential estimation, with the reward function for motion control defined to take into account the epistemic uncertainty. The advantages of the proposed search algorithm are demonstrated by numerical simulations.

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Section: Information Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Possibilistic Formulation of Autonomous Search for Targets

Chen,

Ristic,

Kim

2024

Preprint

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“…It can be assumed that on a small recording area of the light-sensitive device, the correlation function (12) does not depend on the coordinates r . Thus it is the same at the input of each i-th receiving element and expression (12) can be written in the following form,…”

Section: Noisementioning

confidence: 99%

“…At the same time, it is important to design them based on the synthesis of optimal algorithms for processing optical signals by statistical methods of optimal estimates of the measured parameters. Statistical theory of such systems synthesis was developed by V. E. Dulevich [9], V. D. Stepanenko [10], B. R. Levin [11], P. A. Bakut, and G. P. Tartakovskii [12], V. A. Kotel'nikov [13]. Application of such methods of optimization gives optimal structures of a measuring system and limit errors of parameters estimation.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of the optimal algorithm and structure of contactless optical device for estimating the parameters of statistically uneven surfaces

Shmatko

Volosyuk

Zhyla

et al. 2021

reks

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The production of parts and (or) finished products in electronics, mechanical engineering and other industries is inextricably linked with the control of the accuracy and cleanliness of the processed surfaces. Currently existing meters of parameters of statistically uneven surfaces, both contact and non-contact have some disadvantages, as well as limitations due to methods and design features of measurement. Speckle interferometric methods for measuring parameters of statistically uneven surfaces make it possible to get away from some disadvantages inherent in existing methods and measurements. The use of methods of statistical radio engineering, methods of optimization of statistical solutions and estimates of parameters of predictive distributions for optimal radio engineering system synthesis is promising for the analysis and processing optical-electronic coherent laser space-time signals (speckle images) form with the laser radiation scattered by statistically uneven surfaces. This work synthesizes the optimal algorithm and structure for analyzing the parameters of statistically-temporal surfaces based on spatio-temporal processing of optical speckle interference signals and images using modern methods of optimal synthesis of radio engineering and coherent optoelectronic systems. In this work, an algorithm for processing optical signals scattered by statistically uneven surfaces is synthesized and investigated for problems of optimal estimation of parameters and statistical characteristics of statistically uneven surfaces. A block diagram of the optical contactless device for evaluating the parameters of statistically uneven surfaces is proposed. The limiting errors of estimation parameters of statistically uneven surfaces and the optimal installation angles of the emitters and the optical receiver are investigated. Equations are obtained for estimating the root-mean-square height of the ridges and the correlation radius of small-scale statistically uneven surfaces in the approximation of small perturbations. The proposed method for evaluating the parameters of statistically uneven surfaces allows to increase the accuracy of measurements, to conduct a non-contact assessment of the parameters - even statistically uneven surfaces that have geometric surface irregularities or located in hard-to-reach places, for example, grooves, holes, as well as products of cylindrical, spherical and other shapes.

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Information Theory Approach to Statistical Decision Problems

Cited by 2 publications

References 0 publications

A Possibilistic Formulation of Autonomous Search for Targets

A Possibilistic Formulation of Autonomous Search for Targets

Synthesis of the optimal algorithm and structure of contactless optical device for estimating the parameters of statistically uneven surfaces

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