Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908448621330432 |
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| author | Adamczak, Radosław |
| author_facet | Adamczak, Radosław |
| contents | We prove concentration inequalities for several models of non-linear random matrices. As corollaries we obtain estimates for linear spectral statistics of the conjugate kernel of neural networks and non-commutative polynomials in (possibly dependent) random matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials Adamczak, Radosław Probability Machine Learning Primary: 60B20, 60E15, Secondary: 68T07 We prove concentration inequalities for several models of non-linear random matrices. As corollaries we obtain estimates for linear spectral statistics of the conjugate kernel of neural networks and non-commutative polynomials in (possibly dependent) random matrices. |
| title | Concentration of measure for non-linear random matrices with applications to neural networks and non-commutative polynomials |
| topic | Probability Machine Learning Primary: 60B20, 60E15, Secondary: 68T07 |
| url | https://arxiv.org/abs/2507.07625 |