[PDF][PDF] Molecular structure determination by convex, global underestimation of local energy minima.

AT Phillips, JB Rosen, VH Walke - … : Molecular Conformation and Protein …, 1995 - Citeseer
… Computing the global minimum of this function is very difficult … may grow exponentially with
molecule size. The optimization … form a convex quadratic global underestimating function for …

Convex global underestimation for molecular structure prediction

AT Phillips, JB Rosen, KA Dill - From Local to Global Optimization, 2001 - Springer
… The CGU method searches for the globally optimal lowest energy conformation cPG. Our
approach involves the construction of a convex function which underestimates all known local …

A deterministic global optimization approach for molecular structure determination

CD Maranas, CA Floudas - The Journal of chemical physics, 1994 - pubs.aip.org
… of a molecule through the identification of the global minimum point of … underestimate the
original nonconvex total potential energy function with a convex function whose single global

Molecular structure prediction by global optimization

KA Dill, AT Phillips, JB Rosen - Developments in Global Optimization, 1997 - Springer
… (convex global underestimator) global optimization method is used to predict the minimum
energy structures, … serves as a basis for another quadratic underestimation over the reduced …

A novel method using abstract convex underestimation in ab-initio protein structure prediction for guiding search in conformational feature space

XH Hao, GJ Zhang, XG Zhou… - IEEE/ACM Transactions …, 2015 - ieeexplore.ieee.org
global minima energy value EG, then this region is deleted from the data structure; if not,
then the underestimationglobal optimization in molecular structure prediction,” Eur. J. Oper. …

CGU: An algorithm for molecular structure prediction

KA Dill, AT Phillips, JB Rosen - … Applications: Part III: Molecular Structure …, 1997 - Springer
structure of small protein-like molecules. This method begins by collecting a large number of
molecular … used to form a convex quadratic global underestimating function for the potential …

Underestimation-assisted global-local cooperative differential evolution and the application to protein structure prediction

XG Zhou, CX Peng, J Liu, Y Zhang… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
… an adaptive underestimation model is designed on the basis of the abstract convexity theory
[… of proteins is essential to understand the function of the molecules and to design new drugs …

Constrained global optimization for estimating molecular structure from atomic distances

GA Williams, JM Dugan, RB Altman - Journal of computational …, 2001 - liebertpub.com
… be applied to any constrained optimization problem to search for a global minimum although
in this work we only test its effectiveness in solving molecular structure estimation problems. …

Global optimization in protein docking using clustering, underestimation and semidefinite programming

RF Marcia, JC Mitchell, SJ Wright - Optimisation Methods and …, 2007 - Taylor & Francis
… We presented a method for computing a convex quadratic function that underestimates a
set of points for determining the globalMolecular structure determination by convex global

Computational comparison of convex underestimators for use in a branch-and-bound global optimization framework

YA Guzman, MMF Hasan, CA Floudas - … and Engineering: In Honor of the …, 2014 - Springer
molecular structure prediction. Deterministic global optimization algorithms can proceed to
determine … minimizing the maximum underestimation error, the following convex NLP gives an …