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Iterative projection algorithms in protein crystallography. I. Theory

Acta Crystallographica Section A Foundations of Crystallography, 2013
A general class of iterative projection algorithms is described and proposed as a tool for phasing in protein crystallography in order to improve the radius of convergence over that of conventional density-modification algorithms. Their relationship to conventional density modification is described.
Rick P. Millane, Victor L. Lo
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Belief Propagation, Dykstra's Algorithm, and Iterated Information Projections

IEEE Transactions on Information Theory, 2010
Belief propagation is shown to be an instance of a hybrid between two projection algorithms in the convex programming literature: Dykstra's algorithm with cyclic Bregman projections and an alternating Bregman projections algorithm. Via this connection, new results concerning the convergence and performance of belief propagation can be proven by ...
John MacLaren Walsh, Phillip A. Regalia
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Iterative Project Quasi-Newton Algorithm for Training RBM

Proceedings of the AAAI Conference on Artificial Intelligence, 2016
The restricted Boltzmann machine (RBM) has been used as building blocks for many successful deep learning models, e.g., deep belief networks (DBN) and deep Boltzmann machine (DBM) etc. The training of RBM can be extremely slow in pathological regions.
Shuai Mi   +5 more
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Iterative projection algorithms for reconstructing compact binary images

SPIE Proceedings, 2008
An algorithm is described for reconstructing compact binary images from limited Fourier amplitude data. This problem arises in macromolecular crystallography where one wishes to reconstruct the molecular envelope from crystal x-ray diffraction amplitudes using a solvent contrast series.
V. L. Lo, R. P. Millane
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Iterative projection algorithms for ab initio phasing in virus crystallography

Journal of Structural Biology, 2016
Iterative projection algorithms are proposed as a tool for ab initio phasing in virus crystallography. The good global convergence properties of these algorithms, coupled with the spherical shape and high structural redundancy of icosahedral viruses, allows high resolution phases to be determined with no initial phase information.
Victor L, Lo   +2 more
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Performance evaluation of iterative tomography algorithms for incomplete projection data

Applied Optics, 2004
Projection data obtained through optical techniques for tomographic measurements, such as interferometry for refractive-index-based measurements, are often incomplete. This is due to limitations in the optical system, data storage, and alignment and vignette issues.
Debasish, Mishra   +3 more
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Iterative Subgradient Projection Algorithm

2016
In this chapter we study convergence of iterative subgradient projection algorithms for solving convex feasibility problems in a general Hilbert space. Our goal is to obtain an approximate solution of the problem in the presence of computational errors.
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Iterative algorithm for optimal fiducials under weak perspective projection

International Journal of Imaging Systems and Technology, 2009
AbstractIn previous work, we designed space fiducials with the aim of making camera pose determination as noise‐insensitive as possible. These fiducials turned out to be sets of points that formed concentric regular polyhedra. Here, we apply an idea of Dementhon and Davis and test and analyze an iterative linear algorithm in conjunction with our ...
Alfred M. Bruckstein   +2 more
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Projective iterative hard thresholding algorithm for sparse signal recovery

2015 International Conference on Estimation, Detection and Information Fusion (ICEDIF), 2015
Recovering sparse signals from a few linear measurements is attracting growing attention. Bsides sparsity, the signals usually are nonnegative, nonpositive or restricted in some domain. This paper proposes an algorithm for recovering the sparse signal with some certain property on learning the sparsity.
null Zhongao Zhou   +2 more
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A projection iterative algorithm for strong vector equilibrium problem

Optimization, 2014
In this paper, iterative algorithm for strong vector equilibrium problem (SVEP) is studied. Firstly, an auxiliary problem for SVEP is introduced and the relationships between these two problems are discussed. Then, based on the auxiliary problem, a projection iterative algorithm for SVEP is proposed.
San-hua Wang, Qiu-ying Li
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