All reports by Author Ilya Shkredov:

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TR14-172
| 12th December 2014
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Alex Samorodnitsky, Ilya Shkredov, Sergey Yekhanin#### Kolmogorov Width of Discrete Linear Spaces: an Approach to Matrix Rigidity

Alex Samorodnitsky, Ilya Shkredov, Sergey Yekhanin

A square matrix $V$ is called rigid if every matrix $V^\prime$ obtained by altering a small number of entries of $V$ has sufficiently high rank. While random matrices are rigid with high probability, no explicit constructions of rigid matrices are known to date. Obtaining such explicit matrices would have major ... more >>>