Search Results for author: Marshall Mueller

Found 2 papers, 1 papers with code

Locality Regularized Reconstruction: Structured Sparsity and Delaunay Triangulations

1 code implementation1 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 $d \ll n$.

Representation Learning

Geometric Sparse Coding in Wasserstein Space

no code implementations21 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.

Dictionary Learning

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