A sampling construction of graphon 1-norm convergence
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866909155232579584 |
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| author | Jian, Xingchao Ji, Feng Tay, Wee Peng |
| author_facet | Jian, Xingchao Ji, Feng Tay, Wee Peng |
| contents | In the short note, we describe a sampling construction that yields a sequence of graphons converging to a prescribed limit graphon in 1-norm. This convergence is stronger than the convergence in the cut norm, usually used to study graphon sequences. The note also contains errata of the previous version of the note. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_14683 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A sampling construction of graphon 1-norm convergence Jian, Xingchao Ji, Feng Tay, Wee Peng Signal Processing In the short note, we describe a sampling construction that yields a sequence of graphons converging to a prescribed limit graphon in 1-norm. This convergence is stronger than the convergence in the cut norm, usually used to study graphon sequences. The note also contains errata of the previous version of the note. |
| title | A sampling construction of graphon 1-norm convergence |
| topic | Signal Processing |
| url | https://arxiv.org/abs/2310.14683 |