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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. Structural stability of meandering-hyperbolic group actions

  2. Regularity for non-uniformly elliptic problems

  3. From mirror symmetry to enumerative geometry

  4. Universality of log-correlated fields

  5. <학부생을 위한 ɛ 강연> 양자상태의 기하학

  6. Class field theory for 3-dimensional foliated dynamical systems

  7. Satellite operators on knot concordance

  8. <정년퇴임 기념강연> 작용소대수와 양자정보이론

  9. Entropy of symplectic automorphisms

  10. Equations defining algebraic curves and their tangent and secant varieties

  11. Descent in derived algebraic geometry

  12. 14Apr
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    Toward bridging a connection between machine learning and applied mathematics

  13. Vlasov-Maxwell equations and the Dynamics of Plasmas

  14. Study stochastic biochemical systems via their underlying network structures

  15. <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학!

  16. Birational Geometry of varieties with effective anti-canonical divisors

  17. Contact instantons and entanglement of Legendrian links

  18. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

  19. <학부생을 위한 강연> 수학과 보험산업

  20. Counting number fields and its applications

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