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Consider the setting where a $ρ$-sparse Rademacher vector is planted in a random $d$-dimensional subspace of $R^n$. A classical question is how to recover this planted vector given a random basis in this subspace. A recent result by [ZSWB21] showed...
the reset vector is the default location a central processing unit will go to find the first instruction it will execute after a reset. The reset vector
Vector optimization is a subarea of mathematical optimization where optimization problems with a vector-valued objective functions are optimized with respect
Chapter 4 Vector Norms and Matrix Norms. 4.1 Normed Vector Spaces. In order to define how close two vectors or two matrices are, and in order to define the convergence of sequences of vectors or …
Vector graphics are widely used in digital art and highly favored by designers due to their scalability and layer-wise properties. However, the process of creating and editing vector graphics requires creativity and design expertise, making it a time...
Similarity-based vector search underpins many important applications, but a key challenge is processing massive vector datasets (e.g., in TBs). To reduce costs, some systems utilize SSDs as the primary data storage. They employ a proximity graph, whi...
CB vectorspace - Eviebot ... CB vectorspace
Let X be a divergence-free vector field defined on a closed, connected Riemannian manifold. In this paper, we show the equivalence between the following conditions: 1. X is in the C1-interior of the set of expansive divergence-free vector fields....
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In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X
We develop a ready-to-use comprehensive theory for (super) 2-vector bundles over smooth manifolds. It is based on the bicategory of (super) algebras, bimodules, and intertwiners as a model for 2-vector spaces. We discuss symmetric monoidal structures...
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We construct a set of bounded vector fields dense in $L^p((0,2);W^{s,p}_{loc}(\mathbb{R}^2;\mathbb{R}^2))$ for $1\leq p <+\infty$ and $0\leq s<1$ with $p<1/s$ for which smooth regularisation of the vector field does not give a selection criterion for...