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강연자 홍영준
소속 성균관대학교
date 2023-04-13

 

This lecture explores the topics and areas that have guided my research in computational mathematics and deep learning in recent years. Numerical methods in computational science are essential for comprehending real-world phenomena, and deep neural networks have achieved state-of-the-art results in a range of fields. The rapid expansion and outstanding success of deep learning and scientific computing have led to their applications across multiple disciplines. In this lecture, I will focus on connecting machine learning with applied mathematics, specifically discussing topics such as adversarial examples, generative models, and scientific machine learning.

 

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첨부 '1'
  1. 14May
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Geometry and algebra of computational complexity

  2. 13Oct
    by 김수현
    in 수학강연회

    Ill-posedness for incompressible Euler equations at critical regularit

  3. 17Oct
    by 김수현
    in 수학강연회

    WGAN with an Infinitely wide generator has no spurious stationary points

  4. 17Oct
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Symplectic geometry and the three-body problem

  5. 17Oct
    by 김수현
    in 수학강연회

    <정년퇴임 기념강연> Hardy, Beurling, and invariant subspaces

  6. 17Oct
    by 김수현
    in 수학강연회

    Diophantine equations and moduli spaces with nonlinear symmetry

  7. 06Dec
    by 김수현
    in 수학강연회

    <정년퇴임 기념강연> 리만 가설에 관련된 옌센 다항식의 영점

  8. 18Mar
    by 김수현
    in 수학강연회

    Geometric structures and representation spaces

  9. 29Apr
    by 김수현
    in 수학강연회

    Geometric Langlands theory: A bridge between number theory and physics

  10. 13May
    by 김수현
    in 수학강연회

    <2020년도 젊은 과학자상 수상 기념강연> Metastability of stochastic systems

  11. 05Jun
    by 김수현
    in 수학강연회

    <정년퇴임 기념강연> 작용소대수와 양자정보이론

  12. 20Mar
    by 김수현
    in 수학강연회

    From mirror symmetry to enumerative geometry

  13. 13Sep
    by 김수현
    in 수학강연회

    On classification of long-term dynamics for some critical PDEs

  14. 20Sep
    by 김수현
    in 수학강연회

    Homogeneous dynamics and its application to number theory

  15. 07Nov
    by Editor
    in 수학강연회

    학부생을 위한 강연: 브라질과 프랑스는 왜 축구를 잘 할까? - 경제와 수학과 축구와 법률

  16. 22Sep
    by 김수현
    in 수학강연회

    <청암상 수상 기념 특별강연> 동형암호, 기계학습, 근사정수론

  17. 05Dec
    by 김수현
    in 수학강연회

    <정년퇴임 기념강연> 수학의 시대정신(?)

  18. 09Nov
    by 김수현
    in 수학강연회

    Random matrices and operator algebras

  19. 26Nov
    by 김수현
    in 수학강연회

    <학부생을 위한 ɛ 강연> Mathematical Aspects of Machine Learning and Deep Learning AI

  20. 13May
    by 김수현
    in 수학강연회

    Riemann-Hilbert correspondence for irregular holonomic D-modules

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