Extra Form
강연자 신연종
date 2022-10-13


Machine learning (ML) has achieved unprecedented empirical success in diverse applications. It now has been applied to solve scientific problems, which has become an emerging field, Scientific Machine Learning (SciML). Many ML techniques, however, are very complex and sophisticated, commonly requiring many trial-and-error and tricks. These result in a lack of robustness and interpretability, which are critical factors for scientific applications. This talk centers around mathematical approaches for SciML, promoting trustworthiness. The first part is about how to embed physics into neural networks (NNs). I will present a general framework for designing NNs that obey the first and second laws of thermodynamics. The framework not only provides flexible ways of leveraging available physics information but also results in expressive NN architectures. The second part is about the training of NNs, one of the biggest challenges in ML. I will present an efficient training method for NNs - Active Neuron Least Squares (ANLS). ANLS is developed from the insight gained from the analysis of gradient descent training.

첨부 '1'
List of Articles
카테고리 제목 소속 강연자
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Regularity Theory (박진완) file 수학연구소 박진완
수학강연회 Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Dynamical Systems (박한솔) file 수리과학부 박한솔
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Algebraic Geometry (박현준) file KIAS 박현준
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
수학강연회 1 is big enough to understand 3 file 카이스트 백형렬
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
수학강연회 학부생을 위한 강연: Introduction to partial differential equations file 서울대학교 변순식
수학강연회 Theory and applications of partial differential equations file 서울대 변순식
수학강연회 Variational Methods without Nondegeneracy file POSTECH 변재형
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Geometric Group Dynamics (서동균) file 수학연구소 서동균
수학강연회 W-algebras and related topics file 서울대학교 서의린
수학강연회 Mixing time of random processes file 서울대 서인석
수학강연회 <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems file 서울대학교 서인석
수학강연회 L-function: complex vs. p-adic file 충북대학교 선해상
수학강연회 Quantitative residual non-vanishing of special values of various L-functions file UNIST 선해상
수학강연회 행렬함수 Permanent의 극소값 결정과 미해결 문제들 file 제주대학교/서울대학교 송석준
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