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arXiv · 2405.06200

Restricted isometric compression of sparse datasets into low-dimensional varieties

Vasile Pop·Iuliana Teodorescu·Razvan Teodorescu
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Abstract

This article extends the known restricted isometric projection of sparse datasets in Euclidean spaces $\mathbb{R}^N$ down into low-dimensional subspaces $\mathbb{R}^k, k \ll N,$ to the case of low-dimensional varieties $\mathcal{M} \subset \mathbb{R}^N,$ of codimension $N - k = ω(N)$. Applications to structured/hierarchical datasets are considered.

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Vasile Pop, Iuliana Teodorescu, Razvan Teodorescu. 2024-05-10. Restricted isometric compression of sparse datasets into low-dimensional varieties. https://arxiv.org/abs/2405.06200

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