S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Theses (Master's Degree_수리과학부)
A Viewpoint of Algebraic Geometry in Singular Learning Theory : 대수기하학적 관점에서의 특이학습이론
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- 자연과학대학 수리과학부
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- 서울대학교 대학원
- 학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 2. 김영훈.
- In this thesis, the goal of singular learning theory and its methods are described. To resolve the singularity problem, we will introduce resolution of singularities, the notion in algebraic geometry. In addition, we will go over some examples of singular learning theory (focus on strictly singular model) and show how to resolve singularities by computation. In particular, in the reduced rank regression model, the process of resolution will be described by taking blow-ups. Finally, we will introduce a determinantal variety, and examine the possibility of connection with the reduced rank regression model.
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