Friday, June 4, 2021

2021-06-11 / 09:30 ~ 11:30

학과 세미나/콜로퀴엄 - 확률 * 통계: Bayesian Survival Analysis

by 이주희(UC Santa Cruz)

Bayesian statistical approaches have been developed for various applications due to their flexibility. I will cover different application areas of Bayesian methods including applications to analyses of complex count data, decision making problems, and analyses of survival times data. For part I, I will discuss two recently completed projects and comment on some on-going and future projects. Part II will cover a gentle introduction to survival analyses focusing on Bayesian approaches and discuss its extensions for joint analysis with recurrent events data or longitudinal data. For part III, I will cover a general Bayesian decision making framework and their applications to clinical trial design and data analysis.

2021-06-09 / 09:30 ~ 11:30

학과 세미나/콜로퀴엄 - 확률 * 통계: Bayesian Methods for Complex Count Data, with Application to Microbiome Data Analysis

by 이주희(UC Santa Cruz)

2021-06-10 / 11:00 ~ 12:00

학과 세미나/콜로퀴엄 - 대수기하학:

by ()

Introduction: In this lecture series, we'll discuss algebro-geometric study on fundamental problems concerning tensors via higher secant varieties. We start by recalling definition of tensors, basic properties and small examples and proceed to discussion on tensor rank, decomposition, and X-rank for any nondegenerate variety $X$ in a projective space. Higher secant varieties of Segre (resp. Veronese) embeddings will be regarded as a natural parameter space of general (resp. symmetric) tensors in the lectures. We also review known results on dimensions of secants of Segre and Veronese, and consider various techniques to provide equations on the secants.In the end, we'll finish the lectures by introducing some open problems related to the theme such as syzygy structures and singularities of higher secant varieties.

2021-06-10 / 11:00 ~ 12:00

학과 세미나/콜로퀴엄 - 수리생물학: Towards individualized predictions of human sleep and circadian timing

by Andrew Phillips(Monash University)

TBA

2021-06-04 / 16:00 ~ 17:00

학과 세미나/콜로퀴엄 - PDE 세미나:

by 변순식(서울대)

We discuss sharp regularity results for a larger class of of elliptic and parabolic equations in divergence form and present new and interesting features from the view point of regularity theory

2021-06-08 / 14:00 ~ 15:00

학과 세미나/콜로퀴엄 - 박사학위심사: 원에 작용하는 군과 불변 라미네이션

by 김경로(KAIST)

심사위원장 백형렬, 심사위원 박정환, 최서영, 임선희(서울대학 수리과학부), 김상현(고등과학원 수학부)

2021-06-08 / 15:00 ~ 16:00

학과 세미나/콜로퀴엄 - Discrete Math:

by 권오정()

An intersection digraph is a digraph where every vertex $v$ is represented by an ordered pair $(S_v, T_v)$ of sets such that there is an edge from $v$ to $w$ if and only if $S_v$ and $T_w$ intersect. An intersection digraph is reflexive if $S_v\cap T_v\neq \emptyset$ for every vertex $v$. Compared to well-known undirected intersection graphs like interval graphs and permutation graphs, not many algorithmic applications on intersection digraphs have been developed. Motivated by the successful story on algorithmic applications of intersection graphs using a graph width parameter called mim-width, we introduce its directed analogue called `bi-mim-width’ and prove that various classes of reflexive intersection digraphs have bounded bi-mim-width. In particular, we show that as a natural extension of $H$-graphs, reflexive $H$-digraphs have linear bi-mim-width at most $12|E(H)|$, which extends a bound on the linear mim-width of $H$-graphs [On the Tractability of Optimization Proble

2021-06-04 / 14:00 ~ 15:00

학과 세미나/콜로퀴엄 - 박사학위심사: 시간 지연이 있는 생물 시스템 연구를 위한 이론적 분석 체계 및 수리 모델

by 김대욱(KAIST)

심사위원장 김재경, 심사위원 김용정, 황강욱, 정연승, 이승규(고려대 세종캠퍼스 응용수리과학부)

2021-06-11 / 16:00 ~ 17:00

학과 세미나/콜로퀴엄 - 박사학위심사: 환경역학 연구를 위한 비모수 베이지안 계층 모형 및 다변량 메타 회귀모형 연구

by (KAIST)

심사위원장 정연승, 심사위원 김성호, 황강욱, 전현호, 최태련(고려대 통계학과)

2021-06-04 / 15:00 ~ 16:00

학과 세미나/콜로퀴엄 - 응용수학 세미나:

by 박원광(국민대학교)

MUltiple SIgnal Classification (MUSIC) is a well-known, non-iterative imaging technique in inverse scattering problem. Throughout various researches, it has been confirmed that MUSIC is very fast, effective, and stable. Due to this reason MUSIC has been applied to various inverse scattering problems however, it has not yet been designed and used to identify unknown anomalies from measured scattering parameters (S-parameters) in microwave imaging. In this presentation, we apply MUSIC in microwave imaging for a fast identification of arbitrary shaped anomalies from real-data and establish a mathematical theory for illustrating the feasibilities and limitations of MUSIC. Simulations results with real-data are shown for supporting established theoretical results.

2021-06-04 / 17:00 ~ 18:00

학과 세미나/콜로퀴엄 - 대수기하학: Near-rationality properties of norm varieties

by Anand Sawant(Tata Institute of Fundamental Research, Mumbai, In)

I will discuss various near-rationality concepts for smooth projective varieties. I will introduce the standard norm variety associated with a symbol in mod-l Milnor K-theory. The standard norm varieties played an important role in Vovedsky's proof of the Bloch-Kato conjecture. I will then describe known near-rationality results for standard norm varieties and outline an argument showing that a standard norm variety is universally R-trivial over an algebraically closed field of characteristic 0. The talk is based on joint work with Chetan Balwe and Amit Hogadi.

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