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15.099, Special Seminar in Operations Research: Computational Methods for Infinite Dimensional Optimization, Spring 2019.
This problem entails solving a high dimensional optimization problem.
This talk will describe a pair of techniques grounded in infinite dimensional optimization to address this challenge.
High dimensional optimization problems play an important role in many complex engineering area.
This is a high dimensional optimization problem with black-box nonconvex objective function.
The performance visualization, finite element analysis, and dimensional optimization are implemented.
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Next, a multi-dimensional optimization algorithm is proposed to optimize the objectives of a mobile user.
The optimized topology is validated against two-dimensional optimization and 1g-model test results.
In order to find the optimal film distance, I treated this as a one-dimensional optimization problem over a unimodal function.
This three-dimensional optimization curve also features a unimodal property: the TEC is minimized with an optimal number of CHs at a certain cut-off distance.
Both designs require a one-dimensional optimization.
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