How to solve adaptive lasso in matlab?

When I use function lasso to solve adaptive lasso, the solution path remains the same as the parameter changes. I just transform the adaptive lasso to lasso linear transformation in Zou (2006). Here is the code:

mu=[1 2 3 1.5 2.5 8 -3 -5];

sigma=[2 4 6 1 3 3.5 5.5 5];

X=zeros(100,8);

for i=1:8

X(:,i)=normrnd(mu(i),sigma(i),[100,1]);

end

epsilon=normrnd(0,1,[100,1]);

beta0=[0 0 0 2 3 0 0 5];

Y=X*beta0'+epsilon;

%%

[beta_lasso0,FitInfo0] = lasso(X,Y);

beta_OLS=(X'*X)\X'*Y;

gamma = 1;

w=abs(beta_OLS).^gamma;

w=1./w;

X_star=X./w';

[beta_lasso1,FitInfo]=lasso(X_star,Y); The

beta_Alasso1 = beta_lasso1./w;

lambda=FitInfo.Lambda;

gamma1 = 0.5;

w1=abs(beta_OLS).^gamma1;

w1=1./w1;

X_star1=X./w1';

[beta_lasso2,FitInfo1]=lasso(X_star1,Y);

beta_Alasso2 = beta_lasso2./w1;

lambda1=FitInfo1.Lambda;