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• W3088176352 abstract "We consider a statistical model for finite-rank symmetric tensor factorization and prove a single-letter variational expression for its asymptotic mutual information when the tensor is of even order. The proof applies the adaptive interpolation method originally invented for rank-one factorization. Here we show how to extend the adaptive interpolation to finite-rank and even-order tensors. This requires new nontrivial ideas with respect to the current analysis in the literature. We also underline where the proof falls short when dealing with odd-order tensors." @default.
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• W3088176352 date "2020-09-24" @default.
• W3088176352 modified "2023-10-16" @default.
• W3088176352 title "Mutual information for low-rank even-order symmetric tensor estimation" @default.
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• W3088176352 doi "https://doi.org/10.1093/imaiai/iaaa022" @default.
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