Zhihong Zou Richard H. Byrd Robert B. Schnabel July, 1996  Home/Search
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Abstract: We present a new global optimization approach for solving exactly or inexactly constrained distance geometry problems. Distance geometry problems are concerned with determining spatial structures from measurements of internal distances. They arise in the structural interpretation of nuclear magnetic resonance data and in the prediction of protein structure. These problems can be naturally formulated as global optimization problems which generally are large and difficult. The global... (Update)
Context of citations to this paper: More
...constraints often more than compensates for the increased error in the moment constraint. A similar heuristic is used in, for example, [13, 91], where they expand the structure being computed by a small factor before each major optimization iteration. Figure 10 graphically...
.... 2] Another approach based on global optimization and allowing for intervals for the distances is given in [28] 29] and also in [48]. We build a convex (tractable) model by relaxing the constraint on the embedding dimension (rank) Semidefinite programming, SDP, is an...
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BibTeX entry: (Update)
Z. Zou, R. H. Byrd, and R. B. Schnabel, "A Stochastic/Perturbation Global Optimization Algorithm for Distance Geometry Problems", Journal of Global Optimization, vol. 11, no. 1, pp. 91-105, 1997. http://citeseer.ist.psu.edu/243345.html More
@article{ zou97stochasticperturbation,
author = "Zhihong Zou and Richard H. Bird and Robert B. Schnabel",
title = "A stochastic/perturbation global optimization algorithm for distance geometry problems",
journal = "J. Global Optim.",
volume = "11",
number = "1",
pages = "91--105",
year = "1997",
url = "citeseer.ist.psu.edu/243345.html" }
Citations (may not include all citations):78 the Limited Memory BFGS Method for Large Scale Optimization - Liu, Nocedal - 1989
52 Distance Geometry and Molecular Conformation (context) - Crippen, Havel - 1988
28 Embeddability of Weighted Graphs in k-space is Strongly NPha.. (context) - Saxe - 1979
25 Molecular Conformation from Distance Matrices (context) - Glunt, Hayden et al. - 1993
23 Global Continuation for Distance Geometry Problems (context) - Mor'e, Wu - 1995
16 An Evaluation of Computational Strategies for Use in the Det.. (context) - Havel - 1991
14 The Molecule Problem: Exploiting Structure in Global Optimiz.. - Hendrickson - 1995
13 A New Large-Scale Global Optimization Method and its Applica.. (context) - Byrd, Eskow et al.
8 Distance Geometry (context) - Kuntz, Thomason et al. - 1993
6 Global Optimization for Molecular Clusters Using a New smoot.. - Shao, Byrd et al. - 1995
4 Computational Challenges for macromolecular structure determ.. (context) - Brunger, Nilgers - 1993
2 Global Optimization Methods for Protein Folding Problems - Byrd, Eskow et al. - 1995
1 Optimial solutions to Distance Geometry Problems via Global .. (context) - Mor'e, Wu - 1995
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