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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
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia A new view of Fokker-Planck equations in finite and Infinite dimensional spaces file Bielefeld Univ./Purdue Univ. Michael Roeckner
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
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 Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
Math Colloquia Topology of configuration spaces on graphs file KAIST 고기형
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Math Colloquia 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
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
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