On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909862992019456 |
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| author | Abdalla, Pedro Vershynin, Roman |
| author_facet | Abdalla, Pedro Vershynin, Roman |
| contents | We provide a simpler proof of a sharp concentration inequality for subgaussian simple tensors obtained recently by Al-Ghattas, Chen and Sanz-Alonso. Our approach uses a matrix deviation inequality for $\ell^p$ norms and a basic chaining argument. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09333 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation Abdalla, Pedro Vershynin, Roman Probability We provide a simpler proof of a sharp concentration inequality for subgaussian simple tensors obtained recently by Al-Ghattas, Chen and Sanz-Alonso. Our approach uses a matrix deviation inequality for $\ell^p$ norms and a basic chaining argument. |
| title | On the Dimension-Free Concentration of Simple Tensors via Matrix Deviation |
| topic | Probability |
| url | https://arxiv.org/abs/2506.09333 |