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Optimal fiber comparisons for random tensors
We extend Seginer's matrix norm comparison to tensors with optimal dependence on the tensor order. For a real tensor $T$ of order $k\ge2$ with centered, integrable, independent and identically distributed entries, we prove $\mathbb{E} f(T)\le\mathbb{E}\lVert T\rVert_{\mathrm{inj}} \le C\sqrt{k\log k
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