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pro vyhledávání: '"J B, Rosen"'
Nonlinear Programming contains the proceedings of a Symposium on Nonlinear Programming held in Madison, Wisconsin on May 4-6, 1970. This book emphasizes algorithms and related theories that lead to efficient computational methods for solving nonlinea
Autor:
John Glick, J. B. Rosen
Publikováno v:
Journal of Global Optimization. 36:461-469
The problem of approximating m data points (x i , y i ) in $$\mathfrak{R}^{n+1}$$ , with a quadratic function q(x, p) with s parameters, m ? s, is considered. The parameter vector $$p\in \mathfrak{R}^s$$ is to be determined so as to satisfy three con
Publikováno v:
Journal of Global Optimization. 34:475-488
Motivated by the fact that important real-life problems, such as the protein docking problem, can be accurately modeled by minimizing a nonconvex piecewise-quadratic function, a nonconvex underestimator is constructed as the minimum of a finite numbe
Publikováno v:
Computational Optimization and Applications. 34:35-45
A function on Rn with multiple local minima is approximated from below, via linear programming, by a linear combination of convex kernel functions using sample points from the given function. The resulting convex kernel underestimator is then minimiz
Publikováno v:
Journal of Global Optimization. 32:1-9
Given a function on Rn with many multiple local minima we approximate it from below, via concave minimization, with a piecewise-linear convex function by using sample points from the given function. The piecewise-linear function is then minimized usi
Publikováno v:
Biophysical Journal. 86:411-419
Identifying the fold class of a protein sequence of unknown structure is a fundamental problem in modern biology. We apply a supervised learning algorithm to the classification of protein sequences with low sequence identity from a library of 174 str
Publikováno v:
Journal of Computational Chemistry. 24:89-97
We present a method called MOPED for optimizing energetic and structural parameters in computational models, including all-atom energy functions, when native structures and decoys are given. The present method goes beyond previous approaches in treat
Publikováno v:
Biophysical Journal. 79:2818-2824
Models in computational biology, such as those used in binding, docking, and folding, are often empirical and have adjustable parameters. Because few of these models are yet fully predictive, the problem may be nonoptimal choices of parameters. We de
Publikováno v:
Journal of Computational Chemistry. 20:1527-1532
We provide some tests of the convex global underestimator (CGU) algorithm, which aims to find global minima on funnel-shaped energy landscapes. We use two different potential functions—the reduced Lennard–Jones cluster potential, and the modified