collection of animations of search path in optimization

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collection of animations of search path in optimization

March 7, 2016 Compiled on January 28, 2024 at 7:56pm

These are animations¹ showing the search path $u^{k}$ on top of a contour plot from diﬀerent starting point $u^{0}$ toward a minimizer $u^{*}$ for diﬀerent objective functions using diﬀerent algorithms. More animations will be added.

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1 First example

f (u) = (11 - u_{1} - u_{2})^{2} + (1 + u_{1} + 10 u_{2} - u_{1} u_{2})^{2}

2 second example, Rosenbrock’s banana function

f (u) = 100 * (u_{2} - u_{1}^{2})^{2} + (1 - u_{1})^{2}

¹Made during taking course ECE 719 optimal systems at University Wisconsin, Madison. Course given by Professor B Ross Barmish in spring 2016