Diffusion equation method of global minimization performance for standard test functions
Journal of Optimization Theory and Applications
The molecule problem: determining conformation from pairwise distances
The molecule problem: determining conformation from pairwise distances
Molecular conformations from distance matrices
Journal of Computational Chemistry
ACM Transactions on Mathematical Software (TOMS)
Preconditioners for distance matrix algorithms
Journal of Computational Chemistry
Journal of Global Optimization
Semidefinite programming for discrete optimization and matrix completion problems
Discrete Applied Mathematics
Extending the geometric build-up algorithm for the molecular distance geometry problem
Information Processing Letters
Reconstruction of 3D Structures From Protein Contact Maps
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Double variable neighbourhood search with smoothing for the molecular distance geometry problem
Journal of Global Optimization
Solving molecular distance geometry problems by global optimization algorithms
Computational Optimization and Applications
Enhanced bounding techniques to reduce the protein conformational search space
Optimization Methods & Software - GLOBAL OPTIMIZATION
An improved hybrid global optimization method for protein tertiary structure prediction
Computational Optimization and Applications
Reconstruction of 3D structures from protein contact maps
ISBRA'07 Proceedings of the 3rd international conference on Bioinformatics research and applications
MD-jeep: an implementation of a branch and prune algorithm for distance geometry problems
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
An SDP-Based Divide-and-Conquer Algorithm for Large-Scale Noisy Anchor-Free Graph Realization
SIAM Journal on Scientific Computing
On the computation of protein backbones by using artificial backbones of hydrogens
Journal of Global Optimization
Molecular docking with opposition-based differential evolution
Proceedings of the 27th Annual ACM Symposium on Applied Computing
Ab-initio prediction and reliability of protein structural genomics by PROPAINOR algorithm
Computational Biology and Chemistry
The discretizable molecular distance geometry problem
Computational Optimization and Applications
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We study the performance of the {\dgs} code for the solution of distance geometry problems with lower and upper bounds on distance constraints. The {\dgs} code uses only a sparse set of distance constraints, while other algorithms tend to work with a dense set of constraints either by imposing additional bounds or by deducing bounds from the given bounds. Our computational results show that protein structures can be determined by solving a distance geometry problem with {\dgs} and that the approach based on {\dgs} is significantly more reliable and efficient than multi-starts with an optimization code.