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  • https://doi.org/10.1109/access.2020.2980228Copy DOI Icon

Value of Information Analysis via Active Learning and Knowledge Sharing in Error-Controlled Adaptive Kriging

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Abstract

Large uncertainties in many phenomena have challenged decision making.\nCollecting additional information to better characterize reducible\nuncertainties is among decision alternatives. Value of information (VoI)\nanalysis is a mathematical decision framework that quantifies expected\npotential benefits of new data and assists with optimal allocation of resources\nfor information collection. However, analysis of VoI is computational very\ncostly because of the underlying Bayesian inference especially for\nequality-type information. This paper proposes the first surrogate-based\nframework for VoI analysis. Instead of modeling the limit state functions\ndescribing events of interest for decision making, which is commonly pursued in\nsurrogate model-based reliability methods, the proposed framework models system\nresponses. This approach affords sharing equality-type information from\nobservations among surrogate models to update likelihoods of multiple events of\ninterest. Moreover, two knowledge sharing schemes called model and training\npoints sharing are proposed to most effectively take advantage of the knowledge\noffered by costly model evaluations. Both schemes are integrated with an error\nrate-based adaptive training approach to efficiently generate accurate Kriging\nsurrogate models. The proposed VoI analysis framework is applied for an optimal\ndecision-making problem involving load testing of a truss bridge. While\nstate-of-the-art methods based on importance sampling and adaptive Kriging\nMonte Carlo simulation are unable to solve this problem, the proposed method is\nshown to offer accurate and robust estimates of VoI with a limited number of\nmodel evaluations. Therefore, the proposed method facilitates the application\nof VoI for complex decision problems.\n

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