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Extra Form
Lecturer 신연종
Dept. KAIST
date Oct 13, 2022

 

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.

Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
Math Colloquia Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
Math Colloquia Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Representation Theory(이신명) file 수리과학부 이신명
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Representation Theory(허태혁) file QSMS 허태혁
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Harmonic Analysis (오세욱) file 고등과학원 오세욱
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Harmonic Analysis (함세헌) file 수학연구소 함세헌
Special Colloquia Combinatorics and Hodge theory file 미국 프린스턴대 교수, 한국 고등과학원 석학교수 허준이
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Harmonic Analysis (Kalachand Shuin) file BK21 Kalachand Shuin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch:Functional Analysis (정민구) file 고등과학원 정민구
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Algebraic Topology (송종백) file 고등과학원 송종백
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic/Algebraic Geometry (좌동욱) file 고등과학원 좌동욱
Math Colloquia <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems file 서울대학교 서인석
Math Colloquia Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Functional Analysis (Wang Xumin) file 수학연구소 Wang Xumin
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Probability, PDE (Ramil Mouad) file 수학연구소 Ramil Mouad
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
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