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Bayesian multi-parameter estimation using the mechanical equivalent of logical inference
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bolognani, Denise | - |
dc.contributor.author | Verzobio , Andrea | - |
dc.contributor.author | Zonta, Daniele | - |
dc.date.accessioned | 2019-05-14T03:08:12Z | - |
dc.date.available | 2019-05-14T03:08:12Z | - |
dc.date.issued | 2019-05-26 | - |
dc.identifier.citation | 13th International Conference on Applications of Statistics and Probability in Civil Engineering(ICASP13), Seoul, South Korea, May 26-30, 2019 | - |
dc.identifier.isbn | 979-11-967125-0-1 | - |
dc.identifier.other | ICASP13-362 | - |
dc.identifier.uri | https://hdl.handle.net/10371/153489 | - |
dc.description.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 | - |
dc.description.abstract | the Fishers information is the stiffness matrix | - |
dc.description.abstract | the negative log-distribution of the parameters is the elastic potential energy of the system | - |
dc.description.abstract | 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. | - |
dc.language.iso | en | - |
dc.title | Bayesian multi-parameter estimation using the mechanical equivalent of logical inference | - |
dc.type | Conference Paper | - |
dc.identifier.doi | 10.22725/ICASP13.362 | - |
dc.sortNo | 638 | - |
dc.citation.pages | 1833-1840 | - |
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