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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2405.06200 |
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| _version_ | 1866910441804922880 |
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| author | Pop, Vasile Teodorescu, Iuliana Teodorescu, Razvan |
| author_facet | Pop, Vasile Teodorescu, Iuliana Teodorescu, Razvan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06200 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Restricted isometric compression of sparse datasets into low-dimensional varieties Pop, Vasile Teodorescu, Iuliana Teodorescu, Razvan Mathematical Physics Functional Analysis Optimization and Control Representation Theory Statistics Theory Primary: 30D05, Secondary: 30E10, 30E25 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. |
| title | Restricted isometric compression of sparse datasets into low-dimensional varieties |
| topic | Mathematical Physics Functional Analysis Optimization and Control Representation Theory Statistics Theory Primary: 30D05, Secondary: 30E10, 30E25 |
| url | https://arxiv.org/abs/2405.06200 |