Jul

23

2021

Jul

26

2021

Jul

26

2021

Given an initial opinion matrix in which every member of a population gives an opinion score of all the members in a population, natural questions to ask could be regarding what happens to those opinions over time, both in forward time and in backward time. While what happens over time depends on some underlying assumptions about what model to use, in this paper, we'll look at some common models, relate them to differential geometry, and show how some of these ideas can be extended further.

Jul

27

2021

Stein’s method initially introduced in 1970 by C. Stein is a powerful technique for bounding the distance between the laws of two real-valued random variables. In this talk, I will begin with presenting the general version of Stein's method. Then the main concepts and techniques of Functional Stein’s method for Gaussian diffusion approximation will be discussed. Finally, we will revisit the Functional central limit theorem and reprove it using Functional Stein’s method.

Jul

28

2021