Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hanson-Wright Inequality for Random Tensors   We provide moment bounds for expressions of the type $(X^{(1)} \otimes \dots
\otimes X^{(d)})^T A (X^{(1)} \otimes \dots \otimes X^{(d)})$ where $\otimes$
denotes the Kronecker product and $X^{(1)}, \dots, X^{(d)}$ are random vectors
with independent, mean 0, variance 1, subgaussian entries. The bounds are tight
up to constants depending on $d$ for the case of Gaussian random vectors. Our
proof also provides a decoupling inequality for expressions of this type. Using
these bounds, we obtain new, improved concentration inequalities for
expressions of the form $\|B (X^{(1)} \otimes \dots \otimes X^{(d)})\|_2$.

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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn