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Alternating Minimization Algorithms for Transmission Tomography
IEEE Transactions on Medical Imaging, 2007A family of alternating minimization algorithms for finding maximum-likelihood estimates of attenuation functions in transmission X-ray tomography is described. The model from which the algorithms are derived includes polyenergetic photon spectra, background events, and nonideal point spread functions.
Joseph A O'Sullivan
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Alternating minimization and Boltzmann machine learning [PDF]
IEEE Transactions on Neural Networks, 1992 Training a Boltzmann machine with hidden units is appropriately treated in information geometry using the information divergence and the technique of alternating minimization. The resulting algorithm is shown to be closely related to gradient descent Boltzmann machine learning rules, and the close relationship of both to the EM algorithm is described ...
W Byrne
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Robust Alternative Minimization for Matrix Completion
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2012Recently, much attention has been drawn to the problem of matrix completion, which arises in a number of fields, including computer vision, pattern recognition, sensor network, and recommendation systems. This paper proposes a novel algorithm, named robust alternative minimization (RAM), which is based on the constraint of low rank to complete an ...
Xiaoqiang Lu +4 more
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Alternating Minimization as Sequential Unconstrained Minimization: A Survey
Journal of Optimization Theory and Applications, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Minimal sets alternative to minimal Geršgorin sets
Applied Numerical Mathematics, 2010Localization regions for the real eigenvalues or the real parts of the eigenvalues of a given real matrix \(A\) were studied by \textit{J. M. Penã} [SIAM J. Matrix Anal. Appl. 22, No.~4, 1027--1037 (2001; Zbl 0986.15015)], who introduced the notions of row \(\mathcal B\)-set and \(\mathcal B\)-set.
Cvetković, Lj., Peña, J. M.
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Model minimization ?An alternative to circumscription
Journal of Automated Reasoning, 1988The idea underlying John McCarthy’s notion of circumscription is interpreted, for formulas with finite models, as asking whether the conclusion C is true in all the minimal finite models of the premise T. A way of modifying one of the usual proof procedures for first-order logic (the tableau method) is given which captures this idea.
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Alternative Minimization Concepts
1998In Chapters 5 and 6 “classical” methods for BDD minimization that are supported by most available packages and recent refinements of these methods have been presented.
Rolf Drechsler, Bernd Becker
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An alternating minimization algorithm for the minimal H-eigenvalue of the M-tensor
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinzhu Zhao +3 more
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Interference alignment via alternating minimization
2009 IEEE International Conference on Acoustics, Speech and Signal Processing, 2009Using interference alignment, it has been shown that the number of degrees of freedom in the interference channel scales linearly with the number of users. Unfortunately, closed-form solutions for interference alignment over constant-coefficient channels with more than 3 users are difficult to derive.
Steven W. Peters, Robert W. Heath Jr.
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An Alternating Minimization Algorithm for Binary Image Restoration
IEEE Transactions on Image Processing, 2012The problem we will consider in this paper is binary image restoration. It is, in essence, difficult to solve because of the combinatorial nature of the problem. To overcome this difficulty, we propose a new minimization model by making use of a new variable to enforce the image to be binary.
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