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Problems of Hierarchical Optimization in Finite Dimensions

SIAM Journal on Optimization, 1994
Summary: Two-level hierarchical optimization problems in finite dimensions are formally defined and the existence of solutions as well as various necesasry optimality conditions are studied under nonsmooth settings. The assumptions made to the problems allow the objectives of both levels to be nondifferentiable and the solutions to the lower-level ...
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Sensorimotor optimization in higher dimensions

2007
Most studies of neural control have looked at constrained tasks, with only a few degrees of freedom, but real sensorimotor systems are high dimensional--e.g. gaze-control systems that coordinate the head and two eyes have to work with 12 degrees of freedom in all.
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Near-optimal algorithm for dimension reduction

Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol.II. Conference B: Pattern Recognition Methodology and Systems, 2003
Dimension reduction is a process of transforming the multidimensional observations into low-dimensional space. In pattern recognition this process should not cause loss of classification accuracy. This goal is best accomplished using Bayes error as a criterion for dimension reduction.
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Geometric computation and optimization on tolerance dimensioning

Computer-Aided Design, 2014
This paper presents an efficient geometric method of tolerance analysis for optimizing dimensioning and providing an optimal processing plan for a discrete part. Geometric primitives are used to represent part features, and dependencies in the dimensions between parts are represented by a topological graph. The ordering of these dependencies can have a
Songgang Xu, John Keyser
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Optimizing Gaze Control in Three Dimensions

Science, 1998
Horizontal and vertical movements of the human eye bring new objects to the center of the visual field, but torsional movements rotate the visual world about its center. Ocular torsion stays near zero during head-fixed gaze shifts, and eye movements to visual targets are thought to be driven by purely horizontal and vertical commands. Here, analysis of
D, Tweed, T, Haslwanter, M, Fetter
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The Optimal Lattice Quantizer in Three Dimensions

SIAM Journal on Algebraic Discrete Methods, 1983
The body-centered cubic lattice is shown to have the smallest mean squared error of any lattice quantizer in three dimensions, assuming that the input to the quantizer has a uniform distribution.
Barnes, E. S., Sloane, N. J. A.
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Electric machine dimensioning by global optimization

Proceedings of 1st International Conference on Conventional and Knowledge Based Intelligent Electronic Systems. KES '97, 2002
Global optimization as a genetic algorithm and simulated annealing are proposed for synchronous machine dimensioning. By using the optimization in dimensioning, it is possible to replace the heuristic optimization process of a design engineer in an automated offer calculation system or alternatively to help the engineer in design work.
Esa Koskimäki, Janne Göös
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Bacterial Foraging Optimization Algorithm with Dimension by Dimension Improvement

2019 4th International Conference on Computational Intelligence and Applications (ICCIA), 2019
Bacterial Foraging Optimization (BFO) is a new nature-inspired intelligent algorithm. When solving the multidimension function optimization problem, the global update evaluation strategy will deteriorate the convergence speed and the quality of the solution due to the interference between the dimensions.
Miaomiao He, Jiajia Chen, Huiwen Deng
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The Optimal Tariff Structure in Higher Dimensions

International Economic Review, 1990
This paper generalizes to higher dimensions the two good result that the optimal trade policy for a large country is an import tariff. A weak form of the optimal tariff, requiring that an import (export) good be most (least) protected holds under gross substitutability.
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Derivative Free Optimization in Higher Dimension

International Transactions in Operational Research, 2001
Non‐linear optimizations that do not require explicit or implicit derivative information of an objective function are an alternate search strategy when the derivative of the objective function is not available. In factorial design, the number of trials for experimental identification method in Em is about (m+ 1).
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