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Stable and Online Algorithms for Random Matrix Discrepancy

Kızıldağ, Eren C. et al.
arXiv (All) · Papers
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combinatoricscomputational-complexitydata-structures-and-algorithmsdiscrete-mathematicsprobability
We study the average-case matrix discrepancy problem: given independent normalized $d\times d$ Gaussian orthogonal ensemble matrices $A_1,\dots,A_N$ and a fixed margin $κ>0$, find signs $σ_1,\dots,σ_N\in\{-1,1\}$ such that the operator norm of $\sum_{i=1}^N σ_i A_i$ is at most $κ\sqrt{N}$. Focusing
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