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• W2963081812 abstract "Can the behavior of a random matrix be improved by modifying a small fraction of its entries? Consider a random matrix A with i.i.d. entries. We show that the operator norm of A can be reduced to the optimal order O(n) by zeroing out a small submatrix of A if and only if the entries have zero mean and finite variance. Moreover, we obtain an almost optimal dependence between the size of the removed submatrix and the resulting operator norm. Our approach utilizes the cut norm and Grothendieck–Pietsch factorization for matrices, and it combines the methods developed recently by C. Le and R. Vershynin and by E. Rebrova and K. Tikhomirov." @default.
• W2963081812 created "2019-07-30" @default.
• W2963081812 creator A5070281692 @default.
• W2963081812 creator A5054763583 @default.
• W2963081812 date "2018-01-01" @default.
• W2963081812 modified "2023-09-23" @default.
• W2963081812 title "Norms of random matrices: Local and global problems" @default.
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• W2963081812 doi "https://doi.org/10.1016/j.aim.2017.11.001" @default.
• W2963081812 hasPublicationYear "2018" @default.
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