Wednesday, July 21, 2021

2021-07-28 / 13:00 ~ 14:00

by 김항준()

Most organisms exhibit various endogenous oscillating behaviors, which provides crucial information about how the internal biochemical processes are connected and regulated. Along with physical experiments, studying such periodicity of organisms often utilizes computer experiments relying on ordinary differential equations (ODE) because configuring the internal processes is difficult. Simultaneously utilizing both experiments, however, poses a significant statistical challenge due to its ill behavior in high dimension, identifiability, and numerical instability. This article devises a new Bayesian calibration strategy for oscillating biochemical models. The proposed methodology can efficiently estimate the computer experiments’ (ODE) parameters that match the physical experiments. The proposed framework is illustrated with circadian oscillations observed in a model filamentous fungus, Neurospora crassa.

2021-07-22 / 15:00 ~ 16:00

학과 세미나/콜로퀴엄 - 학부생 콜로퀴엄:

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In this talk, we will introduce some applications of currents. Thanks to results of Demailly--Paun or Collins--Tosatti, we have a decent understanding of how (cohomology class of) currents are found to be nef and big, the positivity notions that succeed Kahler-ness. With the K3 surface example, where its intersection theory is well-known, we then sketch on how all these machinery are applied to give some result (of Filip--Tosatti) on dynamical rigidity on K3 surfaces.

2021-07-28 / 10:00 ~ 11:00

SAARC 세미나 - SAARC 세미나:

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(전체일정: 7/28, 7/29, 8/3, 8/5) In 2d first-passage percolation, we let (t_e) be a family of i.i.d. weights associated to the edges of the square lattice, and let T = T(x,y) be the induced weighted graph metric on Z^2. If we let p be the probability that a weight takes the value 0, then there is a transition in the large-scale behavior of T depending on the value of p. Specifically, when p < 1/2, T grows linearly, but when p > 1/2, T is stochastically bounded. In these lectures, I will describe some of the standard questions of FPP in the case p < 1/2, and then focus on the "critical" case, where p = 1/2. Regarding this case, I will show some of my work over the last few years including exact asymptotics for T, universality results, and recent work on a dynamical version of the model. The work I will present was done in collaboration with J. Hanson, D. Harper, W.-K. Lam, P. Tang, and X. Wang. Lec 1: Introduction and the passage time to infinity

2021-07-27 / 10:00 ~ 11:00

SAARC 세미나 - SAARC 세미나:

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(전체일정: 7/26, 7/27, 8/2, 8/4) Lec 2: Introduction to cut-off phenomenon In this second lecture, we introduce the so-called cut-off phenomenon and look at several examples exhibiting this phenomenon. Then, we rigorously prove the cut-off phenomenon for the simplest possible model, the lazy random walk on hypergraphs.

2021-07-26 / 10:00 ~ 11:00

SAARC 세미나 - SAARC 세미나:

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Lec 1: Introduction to Markov chain mixing theory In this lecture, we introduce the Markov chain mixing theory by assuming that the attendances have no background on this field. The precise definition of the mixing time and several basic techniques estimating mixing time will be discussed.

2021-07-28 / 17:00 ~ 18:00

IBS-KAIST 세미나 - 수리생물학:

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TBA

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