Is this code good enough for illustrate gradient descent

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Dinh Le Dung 2022-8-6

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https://ww2.mathworks.cn/matlabcentral/answers/1775095-is-this-code-good-enough-for-illustrate-gradient-descent

编辑： Adam Danz 2022-8-7

This is my code for 15 iterative steps

clf

X = -3:0.1:3;

[X,Y] = meshgrid(X);

Z = 4*X.^2-4*X.*Y+2*Y.^2;

surf(X,Y,Z,'FaceColor','c','FaceAlpha',0.3,'EdgeColor','none');

hold on

x(1) = 2; % initial value of x

y(1) = 3; % initial value of y

z(1) = 4*(x(1)).^2-4*(x(1)).*(y(1))+2*(y(1)).^2;

stepsize = 0.1;

for i = 1:15

zx = 8*x(i)-4*y(i);

zy =-4*x(i)+4*y(i);

x(i+1) = x(i) - stepsize*zx; %gradient descent

y(i+1) = y(i) - stepsize*zy;

z(i+1) = 4*(x(i+1)).^2-4*(x(i+1)).*(y(i+1))+2*(y(i+1)).^2;

end

plot3(x,y,z,'o','Markersize',3,'Color','red')

hold off

axis([min(x),max(x), min(y),max(y), min(z), max(z)]);

rotate3d on;

xlabel x; ylabel y; zlabel z;

I get this figure

I dont know if this illustration good enough

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John D'Errico 2022-8-6

Is it good enough? Why not? Does it show the indicated behavior? It seems to do so. Did you write an explanation? (I don't see one, but I don't case as that is not a MATLAB question.) Is there any discussion of the behavior at the end? I don't see any, but in either case, such a discussion would be off-topic for Answers, as having nothing to do with MATLAB.

Surely the only one who can make an assessment of perfection is your teacher, who will grade your work? After all, suppose we said it was incredibly good, but your teacher disagrees? Who is right? (The one who will assign a grade.)

Adam Danz 2022-8-6

编辑：Adam Danz 2022-8-7

In my opinion, instead of setting EdgeColor to None, it would look better if you set EdgeAlpha to something like 0.4. It will help to show the 2D structure of the surface. You may want to set the viewing angle (view) if you need a specific vantage point.

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