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A refined lower bound theorem for $d$-polytopes with at most $2d$ vertices
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First-order elliptic boundary value problems on manifolds with non-compact boundary
Summary: We consider first-order elliptic differential operators acting on vector bundles over smooth manifolds with smooth boundary, …
DOI zbmath arxiv
Frank-Wolfe algorithm for DC optimization problem
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Frank-Wolfe algorithm for star-convex functions
Summary: We study the Frank-Wolfe algorithm for minimizing a differentiable function with Lipschitz continuous gradient over a compact …
zbmath arxiv
Geometric singularities and Hodge theory
Summary: We consider smooth vector bundles over smooth manifolds equipped with non-smooth geometric data. For nilpotent differential …
zbmath arxiv
KKT-based optimality conditions for neural network approximation
Summary: In this paper, we obtain necessary optimality conditions for neural network approximation. We consider neural networks in …
zbmath arxiv
The space of rough Riemannian metrics
Summary: On a smooth connected manifold, we consider all possible locally elliptic and locally bounded measurable coefficient …
zbmath arxiv