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math.OC2024
On the power of linear programming for K-means clustering
Antonio De Rosa, Aida Khajavirad, Yakun Wang
In [SIAM J. Optim., 2022], the authors introduced a new linear programming (LP) relaxation for K-means clustering. In this paper, we further investigate both theoretical and comput…
math.AP2024
Construction of fillings with prescribed Gaussian image and applications
Antonio De Rosa, Yucong Lei, Robert Young
We construct -dimensional polyhedral chains such that the distribution of tangent planes is close to a prescribed measure on the Grassmannian and the chains are either cycles (i…