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Characteristics of iterative projection algorithms
SPIE Proceedings, 2012A brief description of various iterative projection algorithms and the relationships between them is given, along with some possible reasons for their ability to solve non-convex problems. An empirical model of their behaviour when applied to non-convex problems is also described.
Victor Lo, Rick P. Millane
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Projections for Approximate Policy Iteration Algorithms [PDF]
Approximate policy iteration is a class of reinforcement learning (RL) algorithms where the policy is encoded using a function approximator and which has been especially prominent in RL with continuous action spaces. In this class of RL algorithms, ensuring increase of the policy return during policy update often requires to constrain the change in ...
Akrour, R. +3 more
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Iterative projection algorithms in protein crystallography. II. Application
Acta Crystallographica Section A Foundations and Advances, 2015Iterative projection algorithms (IPAs) are a promising tool for protein crystallographic phase determination. Although related to traditional density-modification algorithms, IPAs have better convergence properties, and, as a result, can effectively overcome the phase problem given modest levels of structural redundancy. This is illustrated by applying
Lo, Victor L. +2 more
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Iterative Projection Approximation Algorithms for PCA
2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006In this paper we introduce a new error measure, integrated reconstruction error (IRE), the minimization of which leads to principal eigenvectors (without rotational ambiguity) of the data covariance matrix. Then we present iterative algorithms for the IRE minimization, through the projection approximation.
null Seungjin Choi +2 more
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Iterative projection algorithms in protein crystallography. I. Theory
Acta Crystallographica Section A Foundations of Crystallography, 2013A 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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