From d74e2fc156d66a4c67b5f707a3888e8c857d2a62 Mon Sep 17 00:00:00 2001 From: Merlise Clyde Date: Sun, 19 Nov 2023 19:54:10 -0500 Subject: [PATCH] abstracts for Nov 20 --- abstracts/andreaaveni.qmd | 17 +++++++++++++++++ abstracts/youngsoobaek.qmd | 20 ++++++++++++++++++++ 2 files changed, 37 insertions(+) create mode 100644 abstracts/andreaaveni.qmd create mode 100644 abstracts/youngsoobaek.qmd diff --git a/abstracts/andreaaveni.qmd b/abstracts/andreaaveni.qmd new file mode 100644 index 0000000..b373ff7 --- /dev/null +++ b/abstracts/andreaaveni.qmd @@ -0,0 +1,17 @@ +--- +title: "Rankings" + +author: "Andrea Aveni" + +date: "Nov 21, 2023" + +--- + +## Abstract + +I will deal with rankings and the distances between them. Recently, we discovered a new metric that generalizes several well-known distances. We have characterized this metric axiomatically and determined its main properties, which enable us to model rankings realistically and with high flexibility. + +### Advisor(s) + +Sayan + diff --git a/abstracts/youngsoobaek.qmd b/abstracts/youngsoobaek.qmd new file mode 100644 index 0000000..ac709c2 --- /dev/null +++ b/abstracts/youngsoobaek.qmd @@ -0,0 +1,20 @@ +--- +title: "Generalized Bayes Approach to Inverse Problems with Model Misspecification" +author: "Youngsoo Baek" +date: "Nov 20, 2023" +--- + + + + + +## Abstract + +I discuss a general framework for obtaining probabilistic solutions to PDE-based inverse problems when potentially the PDE is inaccurate or the noise-generating mechanism is unknown. In a generalized Bayesian formulation, the Bayesian update problem is reformulated and generalized into a regularized variational problem on the space of probability distributions of the parameter. A novel generalization of a Bayesian model comparison procedure is given for evaluating the optimality of a given loss based on its "predictive performance." A tailored sequential Monte Carlo-based approach is used to simultaneously calibrate the regularization parameter and obtain samples from the underlying posterior. Some theoretical properties of Gibbs posteriors are also presented. + + + + +### Advisor(s) + +Sayan Mukherjee