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A Nonparametric Bayesian Solution of the Empirical Stochastic Inverse Problem

Published: September 26, 2025 | arXiv ID: 2509.22597v1

By: Haiyi Shi , Lei Yang , Jiarui Chi and more

Potential Business Impact:

Helps predict how things will work.

Business Areas:
Predictive Analytics Artificial Intelligence, Data and Analytics, Software

The stochastic inverse problem is a key ingredient in making inferences, predictions, and decisions for complex science and engineering systems. We formulate and analyze a nonparametric Bayesian solution for the stochastic inverse problem. Key properties of the solution are proved and the convergence and error of a computational solution obtained by random sampling is analyzed. Several applications illustrate the results.

Country of Origin
πŸ‡¨πŸ‡¦ πŸ‡ΊπŸ‡Έ Canada, United States

Page Count
48 pages

Category
Statistics:
Methodology