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We consider the problem of mean-variance portfolio selection regularized with an & -penalty term to control the sparsity of the portfolio. We analyze the structure of local and global minimizers and use our results in the design of a Branch-and-Bound algorithm coupled with an advanced start heuristic. Extensive computational results with real data as well as comparisons with an off-the-shelf and state-of-the-art (MIQP) solver are reported.
Giovanni De Micheli, Alessandro Tempia Calvino, Andrea Costamagna
Mario Paolone, Sidi-Rachid Cherkaoui, Antonio Zecchino, Zhao Yuan