منابع مشابه
An algebraic characterization of injectivity in phase retrieval
A complex frame is a collection of vectors that span C and define measurements, called intensity measurements, on vectors in C . In purely mathematical terms, the problem of phase retrieval is to recover a complex vector from its intensity measurements, namely the modulus of its inner product with these frame vectors. We show that any vector is uniquely determined (up to a global phase factor) ...
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We propose a flexible convex relaxation for the phase retrieval problem that operates in the natural domain of the signal. Therefore, we avoid the prohibitive computational cost associated with “lifting” and semidefinite programming (SDP) in methods such as PhaseLift and compete with recently developed non-convex techniques for phase retrieval. We relax the quadratic equations for phaseless mea...
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Phase retrieval has become a very active area of research. We will classify when phase retrieval by Parseval frames passes to the Naimark complement and when phase retrieval by projections passes to the orthogonal complements. We introduce a new concept we call norm retrieval and show that this is what is necessary for passing phase retrieval to complements. This leads to a detailed study of no...
متن کاملThe socio - cognitive theory in information retrieval (IR)
Abstract Background and Aim: The socio-cognitive theory introduced in information science by Horland and Alberchtsen. The socio-cognitive view turns the traditional cognitive program upside down. The socio-cognitive theory emphasizes on different cultural and social structures of users. Hence, the aim of the article is to explain the role of socio - cognitive theory in information retrieval (I...
متن کاملPhase Retrieval
James R. Fienup used phase retrieval algorithms to determine the aberrations in the Hubble Space Telescope. The theory of phase retrieval is described in this paper. Other applications of phase retrieval, such as undersampled broadband images, lensless coherent imaging, and optical metrology, are also discussed. Introduction: James R. Fienup established the use of phase retrieval in the early 1...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2022
ISSN: ['0002-9920', '1088-9477']
DOI: https://doi.org/10.1090/noti2540