The Spectrum of the Singular Values of Z-Shaped Graph Matrices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866910499882401792 |
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| author | Cai, Wenjun Potechin, Aaron |
| author_facet | Cai, Wenjun Potechin, Aaron |
| contents | Graph matrices are a type of matrix which has played a crucial role in analyzing the sum of squares hierarchy on average case problems. However, except for rough norm bounds, little is known about graph matrices. In this paper, we take a step towards better understanding graph matrices by determining the limiting distribution of the spectrum of the singular values of Z-shaped graph matrices. We then give a partial generalization of our results for $m$-layer Z-shaped graph matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2006_14144 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Spectrum of the Singular Values of Z-Shaped Graph Matrices Cai, Wenjun Potechin, Aaron Combinatorics Discrete Mathematics Graph matrices are a type of matrix which has played a crucial role in analyzing the sum of squares hierarchy on average case problems. However, except for rough norm bounds, little is known about graph matrices. In this paper, we take a step towards better understanding graph matrices by determining the limiting distribution of the spectrum of the singular values of Z-shaped graph matrices. We then give a partial generalization of our results for $m$-layer Z-shaped graph matrices. |
| title | The Spectrum of the Singular Values of Z-Shaped Graph Matrices |
| topic | Combinatorics Discrete Mathematics |
| url | https://arxiv.org/abs/2006.14144 |