Extra Form
강연자 Yang Wang
소속 Hong Kong University of Science and Technology
date 2016-09-22

In many applications such as X-ray Crystallography, imaging, communication and others, one must construct a function/signal from only the magnitude of the measurements. These measurements can be, for example, the Fourier transform of the density function. While it is well known that we can recover a function from its Fourier transform, the classical phase retrieval problem asks whether we can recover a function from only the magnitude of its Fourier transform. The phase retrieval problem has since been extended to a much broader class of settings, referring to the reconstruction of a signal from only the magnitude of its linear measurements or more generally, from quadratic measurements. The problem, even in finite dimensions, turns out to be quite challenging. Many fundamental theoretical problems remain unresolved. Equally challenging is to develop fast and robust algorithms for phase retrieval. The problem has, not surprisingly, links to many problems in science and engineering. But more surprisingly it has also links to some classical problems on the embedding of projective spaces into Euclidean spaces and nonsingular bilinear forms. In this talk I'll give a brief overview and discuss some of the recent progresses.

첨부 '1'
  1. Convex and non-convex optimization methods in image processing

  2. Creation of concepts for prediction models and quantitative trading

  3. <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations

  4. An introduction to hyperplane arrangements

  5. What happens inside a black hole?

  6. <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations

  7. Subword complexity, expansion of real numbers and irrationality exponents

  8. <학부생을 위한 ε 강연> 동형암호와 근사정수론

  9. 4-manifold topology and disk embedding

  10. Hybrid discontinuous Galerkin methods in computational science and engineering

  11. 26Sep
    by 김수현
    in 수학강연회

    The phase retrieval problem

  12. Theory and applications of partial differential equations

  13. Analysis and computations of stochastic optimal control problems for stochastic PDEs

  14. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

  15. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

  16. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

  17. Quasi-homomorphisms into non-commutative groups

  18. Entropies on covers of compact manifolds

  19. Iwahori-Hecke algebras and beyond

  20. On the resolution of the Gibbs phenomenon

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Next
/ 14