Author

Zhixin Zhou

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Preprint Sep 2026

Sharp spectral norm concentration and regularization of sparse random tensors

We prove sharp spectral-norm bounds and construct a mean-fitting regularization procedure for sparse random tensors of fixed order $k$. For an $n\times\cdots\times n$ tensor with independentBernoulli$(p)$ entries, the centered norm is $O(\sqrt{np})$ with polynomially high probability whenever $np\ge c\log n$. This remo...

Zhi-Xin Zhou, Yizhe Zhu · 2 citations · ⚡1

Preprint Sep 2026

Sharp spectral norm concentration of sparse random tensors

We prove a sharp concentration inequality for the spectral norm of sparse random tensors with independent Bernoulli entries. Let $T$ be an order-$k$ tensor of dimension $n\times\cdots\times n$ with independent Bernoulli$(p)$ entries, where $k$ is fixed. For any $c,r>0$, we show that $\|T-\mathbb E T\|\le C_{k,r,c}\sqrt...

Zhixin Zhou, Yizhe Zhu · 0 citations