Comparison of the efficiency of deterministic and stochastic algorithms for visual reconstruction

1989 IEEE Transactions on Pattern Analysis and Machine Intelligence 175 citations

Abstract

Piecewise continuous reconstruction of real-valued data can be formulated in terms of nonconvex optimization problems. Both stochastic and deterministic algorithms have been devised to solve them. The simplest such reconstruction process is the weak string. Exact solutions can be obtained for it and are used to determine the success or failure of the algorithms under precisely controlled conditions. It is concluded that the deterministic algorithm (graduated nonconvexity) outstrips stochastic (simulated annealing) algorithms both in computational efficiency and in problem-solving power.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Keywords

AlgorithmPiecewiseComputer scienceSimulated annealingStochastic processMathematical optimizationStochastic optimizationMathematics

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Publication Info

Year
1989
Type
article
Volume
11
Issue
1
Pages
2-12
Citations
175
Access
Closed

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Andrew Blake (1989). Comparison of the efficiency of deterministic and stochastic algorithms for visual reconstruction. IEEE Transactions on Pattern Analysis and Machine Intelligence , 11 (1) , 2-12. https://doi.org/10.1109/34.23109

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DOI
10.1109/34.23109