Searched for: author:"Nguyen, Hieu Thao"
(1 - 6 of 6)
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Nguyen, Hieu Thao (author), Bui, Hoa T. (author), Nguyen, Duy Cuong (author), Verhaegen, M.H.G. (author)
Motivated by a number of questions concerning transversality-type properties of pairs of sets recently raised by Ioffe and Kruger, this paper reports several new characterizations of the intrinsic transversality property in Hilbert spaces. New results in terms of normal vectors clarify the picture of intrinsic transversality, its variants and...
journal article 2020
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Nguyen, Hieu Thao (author), Soloviev, O.A. (author), Verhaegen, M.H.G. (author)
We present an efficient phase retrieval approach for imaging systems with high numerical aperture based on the vectorial model of the point spread function. The algorithm is in the class of alternating minimization methods and can be adjusted for applications with either known or unknown amplitude of the field in the pupil. The algorithm...
journal article 2020
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Luke, D. Russell (author), Nguyen, Hieu Thao (author), Tam, Matthew K. (author)
We develop a framework for quantitative convergence analysis of Picard iterations of expansive set-valued fixed point mappings. There are two key components of the analysis. The first is a natural generalization of single-valued averaged mappings to expansive set-valued mappings that characterizes a type of strong calmness of the fixed point...
journal article 2018
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Luke, D. Russell (author), Teboulle, Marc (author), Nguyen, Hieu Thao (author)
We present necessary conditions for monotonicity of fixed point iterations of mappings that may violate the usual nonexpansive property. Notions of linear-type monotonicity of fixed point sequences—weaker than Fejér monotonicity—are shown to imply metric subregularity. This, together with the almost averaging property recently introduced by...
journal article 2018
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Doelman, R. (author), Nguyen, Hieu Thao (author), Verhaegen, M.H.G. (author)
We present a convex relaxation-based algorithm for large-scale general phase retrieval problems. General phase retrieval problems include, e.g., the estimation of the phase of the optical field in the pupil plane based on intensity measurements of a point source recorded in the image (focal) plane. The non-convex problem of finding the...
journal article 2018
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Nguyen, Hieu Thao (author)
This paper proposes an algorithm for solving structured optimization problems, which covers both the backward–backward and the Douglas–Rachford algorithms as special cases, and analyzes its convergence. The set of fixed points of the corresponding operator is characterized in several cases. Convergence criteria of the algorithm in terms of...
journal article 2018
Searched for: author:"Nguyen, Hieu Thao"
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