I'd like to know how to solve in MATLAB the following integer optimization problem :

$\underset{B,D}{\arg\min} \Vert{Y-XDB}\Vert_{2}$

where $X,Y$ are given matrices.

The matrix $D$ must be a diagonal matrix and its elements must be 0 or 1.

I'd like to know how to solve in MATLAB the following integer optimization problem :

$\underset{B,D}{\arg\min} \Vert{Y-XDB}\Vert_{2}$

where $X,Y$ are given matrices.

The constraint is the following : the matrix $D$ must be a diagonal matrix and its elements must be 0 or 1.