Jan 17 2020

Special Colloquium: Additive Functional Regression for Densities as Responses, by Kyunghee Han

January 17, 2020

3:00 PM - 3:50 PM

Location

636 SEO

Address

Chicago, IL

Kyunghee Han (University of Pennsylvania ): Additive Functional Regression for Densities as Responses

Distributions or densities are commonly encountered as functional outcomes un-
der shape constraints, which are monotone or non-negative. Examples include age
distributions for calendar years, survival functions for different countries, and gene
expression curves from microarray experiments. In such applications, functional re-
gression models associating covariates with distributions or densities are modeling
problems that incorporate geometry, inherent to the space of distribution or density
functions, into the regression analysis. In this talk, I will present the nonparamet-
ric estimation of additive functional regression models for distributions or densities
as responses, given multiple covariates. Additive modeling is attractive and widely
applicable for practical situations where dimensions of covariates are large since the
estimation of unstructured models is subject to the curse of dimensionality. Extend-
ing the Fr ?echet mean with the Wasserstein metric, I will introduce a smooth back-
fitting algorithm for estimating the proposed additive functional regression models
and establish the consistency of the back-fitting estimator, including the rate of
convergence.

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Contact

Yichao Wu

Date posted

Jan 24, 2020

Date updated

Jan 24, 2020

Speakers

Kyunghee Han | (University of Pennsylvania )