Bilinear separation of two sets in n-space
Computational Optimization and Applications
SIAM Review
Coupled optimization in protein docking
RECOMB '99 Proceedings of the third annual international conference on Computational molecular biology
Accurate solution to overdetermined linear equations with errors using L1 norm minimization
Computational Optimization and Applications - Special issue on nonsmooth and smoothing methods
SIAM Journal on Optimization
Primal--Dual Path-Following Algorithms for Semidefinite Programming
SIAM Journal on Optimization
A Spectral Bundle Method for Semidefinite Programming
SIAM Journal on Optimization
Molecular Modeling and Simulation: An Interdisciplinary Guide
Molecular Modeling and Simulation: An Interdisciplinary Guide
Convex Quadratic Approximation
Computational Optimization and Applications
Global Minimization via Piecewise-Linear Underestimation
Journal of Global Optimization
Iterative Convex Quadratic Approximation for Global Optimization in Protein Docking
Computational Optimization and Applications
Convex Kernel Underestimation of Functions with Multiple Local Minima
Computational Optimization and Applications
Nonconvex Piecewise-Quadratic Underestimation for Global Minimization
Journal of Global Optimization
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The underestimation of data points by a convex quadratic function is a useful tool for approximating the location of the global minima of potential energy functions that arise in protein-ligand docking problems. Determining the parameters that define the underestimator can be formulated as a convex quadratically constrained quadratic program and solved efficiently using algorithms for semidefinite programming (SDP). In this paper, we formulate and solve the underestimation problem using SDP and present numerical results for active site prediction in protein docking.