Thursday, May 16, 2024

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2024-05-23 / 12:00 ~ 13:00
학과 세미나/콜로퀴엄 - 박사논문심사: 인쇄
by ()

2024-05-22 / 13:30 ~ 14:30
학과 세미나/콜로퀴엄 - 위상수학 세미나: 인쇄
by ()
Post-critically finite (PCF) rational maps are a fascinating class of dynamical systems with rich mathematical structures. In this minicourse, we explore the interplay between topology, geometry, and dynamics in the study of PCF rational maps. [Lecture 1: What are PCF rational maps?] We begin by introducing PCF rational maps, highlighting their significance in complex dynamics.
2024-05-23 / 09:30 ~ 11:00
학과 세미나/콜로퀴엄 - 기타: 인쇄
by ()
(Dynamics Seminar)
2024-05-22 / 10:30 ~ 11:30
학과 세미나/콜로퀴엄 - 위상수학 세미나: 인쇄
by ()
(John Hubbard's Mini-course: Lecture 1)
2024-05-23 / 13:00 ~ 14:00
학과 세미나/콜로퀴엄 - 응용수학 세미나: 인쇄
by 권정열()
Reinforcement learning (RL) has become one of the most central problems in machine learning, showcasing remarkable success in recommendation systems, robotics and super-human level game plays. Yet, existing literature predominantly focuses on (almost) fully observable environments, overlooking the complexities of real-world scenarios where crucial information remains hidden. In this talk, we consider reinforcement learning in partially observable systems through the proposed framework of the Latent Markov Decision Process (LMDP). In LMDPs, an MDP is randomly drawn from a set of possible MDPs at the beginning of the interaction, but the context -- the latent factors identifying the chosen MDP -- is not revealed to the agent. This opacity poses new challenges for decision-making, particularly in scenarios like recommendation systems without sensitive user data, or medical treatments for undiagnosed illnesses. Despite the significant relevance of LMDPs to real-world problems, existing theories rely on restrictive separation assumptions -- an unrealistic constraint in practical applications. We present a series of new results addressing this gap: from leveraging higher-order information to develop sample-efficient RL algorithms, to establishing lower bounds and improved results under more realistic assumptions within Latent MDPs.
2024-05-21 / 16:30 ~ 17:30
IBS-KAIST 세미나 - 이산수학: Graph problems and monotone classes 인쇄
by Vadim Lozin(University of Warwick)
Very little is known about critical properties of graphs in the hierarchy of monotone classes, i.e. classes closed under taking (not necessarily induced) subgraphs. We distinguish four important levels in this hierarchy and discuss possible new levels by focusing on the Hamiltonian cycle problem. In particular, we obtain a number of results for this problem on monotone classes.
2024-05-17 / 14:00 ~ 16:00
IBS-KAIST 세미나 - IBS-KAIST 세미나: 인쇄
by 황규영(IBS 의생명수학그룹)
"Optimal-Transport Analysis of Single-Cell Gene Expression Identifies Developmental Trajectories in Reprogramming", Cell (2019) will be discussed in this Journal Club. Understanding the molecular programs that guide differentiation during development is a major challenge. Here, we introduce Waddington-OT, an approach for studying developmental time courses to infer ancestor-descendant fates and model the regulatory programs that underlie them. We apply the method to reconstruct the landscape of reprogramming from 315,000 single-cell RNA sequencing (scRNA-seq) profiles, collected at half-day intervals across 18 days. The results reveal a wider range of developmental programs than previously characterized. Cells gradually adopt either a terminal stromal state or a mesenchymal-to-epithelial transition state. The latter gives rise to populations related to pluripotent, extra-embryonic, and neural cells, with each harboring multiple finer subpopulations. The analysis predicts transcription factors and paracrine signals that affect fates and experiments validate that the TF Obox6 and the cytokine GDF9 enhance reprogramming efficiency. Our approach sheds light on the process and outcome of reprogramming and provides a framework applicable to diverse temporal processes in biology. If you want to participate in the seminar, you need to enter IBS builiding (https://www.ibs.re.kr/bimag/visiting/). Please contact if you first come IBS to get permission to enter IBS building.
2024-05-16 / 16:30 ~ 18:30
학과 세미나/콜로퀴엄 - 기타: 인쇄
by 김준범, 김정섭 (Samsung Research), 심규석(행정안전부)()
1. 데이터 분석 업무의 이해(김준범)- 데이터 분석가의 역할 소개 2. 초거대 언어 모델 동향(김정섭)-GPT-3 부터 Llama-3까지 이미 우리 삶 속에 깊숙이 자리잡은 초거대 언어 모델의 동향 3. 데이터 분석가에서 공직으로 오게된 과정과 앞으로의 계획(심규석)- 삼성화재에서의 데이터 분석 및 AI 모델링 업무, 행정안전부에서의 데이터 분석과제 기획·관리 및 공무원의 데이터 분석 역량지원 업무 전반에 관한 설명과 함께 각 기관을 지원하게 된 동기, 지원방법, 준비사항 등
2024-05-17 / 14:00 ~ 16:00
학과 세미나/콜로퀴엄 - 기타: Introduction to étale cohomology 5 인쇄
by 이제학(KAIST)
This is an introductory reading seminar presented by a senior undergraduate student, Jaehak Lee, who is studying the subject.
2024-05-16 / 11:50 ~ 12:40
대학원생 세미나 - 대학원생 세미나: Deformations of Coxeter orbifolds 인쇄
by 박승열(KAIST)
Given a smooth manifold or orbifold M and a Lie group G acting transitively on a space X, we consider the space of all (G, X)-structures on M up to an appropriate equivalence relation. This space, known as the deformation space of (G, X)-structures on M, encodes information about how one can "deform" the (G, X)-manifold M. In this talk, I will provide a general definition of deformation spaces and character varieties, which capture the local structure of the deformation space. Additionally, I will introduce a class of orbifolds called the Coxeter orbifolds, for which deformation spaces can be computed using an approach due to the foundational work of E. Vinberg.
2024-05-21 / 16:00 ~ 17:00
SAARC 세미나 - SAARC 세미나: 인쇄
by 김바라(고려대학교)
This presentation focuses on unbiased simulation methods for quantities associated with sample paths from stochastic differential equations. Unbiased simulation methods can be found by changing probability measures with appropriately selecting the Radon-Nikodym derivative processes. I propose an unbiased Monte-Carlo simulation method that can be used even when the Girsanov kernel for the change of probability measures is not bounded. Then, I illustrate its practical application through an example involving unbiased Monte Carlo simulation for pricing the continuously averaging arithmetic Asian options under the Black-Scholes model.
2024-05-23 / 16:15 ~ 17:15
학과 세미나/콜로퀴엄 - 콜로퀴엄: 인쇄
by ()

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