Publications
Detailed Information
Bayesian multi-parameter estimation using the mechanical equivalent of logical inference
Cited 0 time in
Web of Science
Cited 0 time in Scopus
- Authors
- Issue Date
- 2019-05-26
- Citation
- 13th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP13), Seoul, South Korea, May 26-30, 2019
- Abstract
- In this work we illustrate how the mathematics of rational thinking is formally equivalent to that of structural mechanics. Concepts from the wold of logic, such as accuracy, uncertainty, Maximum a Posteriori (MAP) and rationality correspond, in the world of mechanics, to stiffness, flexibility, equilibrium and conservativeness. For instance, a linear Gaussian N-parameter estimation problem can be solved through a N-dof linear elastic system, as the analogy goes along these lines: the parameters covariance matrix is the system's flexibility matrix
the Fishers information is the stiffness matrix
the negative log-distribution of the parameters is the elastic potential energy of the system
the Maximum a Posteriori (MAP) is the state of static equilibrium. In principle, based on this analogy, we could reproduce any logical inference problem with a finite element model, and make a judgment by finding its equilibrium state. We will show application of this analogy to a number of civil engineering inference problems, including Bayesian estimation, Bayesian networks and Kalman filter.
- Language
- English
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.