I was trying to solve a problem where the basis matrix contains the components of $\sin(nx)$, $\cos(nx)$, $\sinh(nx)$ and $\cosh(nx)$.
Say the $n$ varies from 1 to 100. While solving the lasso linear regression, I should get the sparse coefficients on say $n=10$ for each of the components. To be clear say the data obtained from the equation is $y= \alpha \sin(10x) + \beta \cos(10x) + \gamma \sinh(10x) + \delta \cosh(10x)$.
I am getting some arbitrary coefficients and that is not representing the equation.
What am I doing wrong?