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Extra Form
Lecturer Yang Wang
Dept. Hong Kong University of Science and Technology
date Sep 22, 2016

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.


Atachment
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List of Articles
Category Subject Dept. Lecturer
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Essential dimension of simple algebras file KAIST 백상훈
Math Colloquia <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 file KAIST 엄상일
Math Colloquia 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까? file KAIST 김동수
Math Colloquia The process of mathematical modelling for complex and stochastic biological systems file KAIST 김재경
Math Colloquia On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
Math Colloquia Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
Math Colloquia Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
Math Colloquia Universality of log-correlated fields file KAIST 남경식
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia A new view of Fokker-Planck equations in finite and Infinite dimensional spaces file Bielefeld Univ./Purdue Univ. Michael Roeckner
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