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- W2886023600 abstract "We consider the problem of private information retrieval (PIR) from 𝒩 non-colluding and replicated databases, when the user is equipped with a cache that holds an uncoded fraction $r$ from each of the $K$ stored messages in the databases. This model operates in a two-phase scheme, namely, the prefetching phase where the user acquires side information and the retrieval phase where the user privately downloads the desired message. In the prefetching phase, the user receives $frac{r}{N}$ uncoded fraction of each message from the $n$th database. This side information is known only to the $n$th database and unknown to the remaining databases, i.e., the user possesses emph{partially known} side information. We investigate the optimal normalized download cost $D^*(r)$ as a function of $K$, 𝒩, $r$. For a fixed $K$, 𝒩, we develop an inner bound (converse) and an outer bound (achievability) for the $D^*(r)$ curve. The bounds match in general for the cases of very low caching ratio ($r leq frac{1}{N^{K-1}}$) and very high caching ratio ($r geq frac{K-2}{N^2-3N+KN}$). As a corollary, we fully characterize the optimal download cost caching ratio tradeoff for $K=3$. For general $K$, 𝒩, and $r$, we show that the largest gap between the achievability and the converse bounds is $frac{5}{32}$." @default.
- W2886023600 created "2018-08-22" @default.
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- W2886023600 date "2018-05-01" @default.
- W2886023600 modified "2023-09-26" @default.
- W2886023600 title "Cache-Aided Private Information Retrieval with Partially Known Uncoded Prefetching" @default.
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- W2886023600 doi "https://doi.org/10.1109/icc.2018.8422196" @default.
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