1 code implementation • 1 May 2024 • Marshall Mueller, James M. Murphy, Abiy Tasissa
We prove that, for all levels of regularization and under a mild condition that the columns of $\mathbf{X}$ have a unique Delaunay triangulation, the optimal coefficients' number of non-zero entries is upper bounded by $d+1$, thereby providing local sparse solutions when $d \ll n$.
no code implementations • 21 Oct 2022 • Marshall Mueller, Shuchin Aeron, James M. Murphy, Abiy Tasissa
We show this approach leads to sparse representations in Wasserstein space and addresses the problem of non-uniqueness of barycentric representation.