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Established in 2020, POSTECH Mathematical Institute for Data Science (MINDS) is the community of researchers in the areas of fundamental data science, machine learning, artificial intelligence, scientific computing, and humanitarian data science. MINDS mission is to provide a platform for collaboration among researchers and to provide various opportunities for students in data science. MINDS also aims to use our data science research to serve our local and global communities pursuing humanitarian data science.

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MINDS SEMINAR

MINDS Seminar Series | Hwanwoo Kim (Duke university) - Enhanced Gaussian Process Surrogates for Optimization and Sampling by Pure Exploration

MINDS SEMINAR
period : 2024-12-11 ~ 2024-12-11
time : 15:30:00 ~ 16:30:00
개최 장소 : Math Bldg 404 & Online streaming (Zoom)
Topic : Enhanced Gaussian Process Surrogates for Optimization and Sampling by Pure Exploration
개요
Date 2024-12-11 ~ 2024-12-11 Time 15:30:00 ~ 16:30:00
Speaker Hwanwoo Kim Affiliation Duke university
Place Math Bldg 404 & Online streaming (Zoom) Streaming link ID : 688 896 1076 / PW : 54321
Topic Enhanced Gaussian Process Surrogates for Optimization and Sampling by Pure Exploration
Contents In this talk, we propose novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical GP-UCB algorithm, but the additional random exploration step accelerates their convergence, nearly achieving the optimal convergence rate. Furthermore, to facilitate Bayesian inference with an intractable likelihood, we propose to utilize the optimization iterates as design points to build a Gaussian process surrogate model for the unnormalized log-posterior density. We provide bounds for the Hellinger distance between the true and the approximate posterior distributions in terms of the number of design points. The effectiveness of our algorithms is demonstrated in benchmark non-convex test functions for optimization, and in a black-box engineering design problem. We also showcase the effectiveness of our posterior approximation approach in Bayesian inference for parameters of dynamical systems.
MinDS MinDS · 2024-12-02 13:37 · Views 143

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