Special DE Seminar: Andrea De Gaetano
National Research Council of Italy (IRIB CNR)
Location
Mathematics/Psychology : 401
Date & Time
February 18, 2025, 11:00 am – 12:00 pm
Description
Title: : The
geometry of estimation and the nature of mathematical models
Speaker: Andrea De Gaetano
Abstract: Mathematical
modeling has become pervasive in applications, not only in physics or economy,
but also in biomedicine and other ``soft'' sciences. To the conceptual
formulation of a model there often follows its identification by statistical
parameter estimation, given available observations. While the nature of the
modeling process as well as its relationship with the attending statistical
computations could both appear obvious to the practitioner, it may be useful to
formalize them in a precise way. Insight into the process of (linear and
nonlinear) model parameter estimation can be obtained from the description of
the geometry of estimation in case space. The objective then is to also
describe the geometry of modeling in the abstract, and to show how the correspondence
between the conceptual context and the computational context can be formally
represented.
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