English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This paper introduces a generalization of the Private Information Retrievalwith Side Information (PIR-SI) problem called Popularity-Aware PIR-SI(PA-PIR-SI). The PA-PIR-SI problem includes one or more remote servers storingcopies of a dataset of $K$ messages, and a user who knows $M$ out of $K$messages -- the identities of which are unknown to the server -- as a priorside information, and wishes to retrieve one of the remaining $K-M$ messages.The goal of the user is to minimize the amount of information they mustdownload from the server while revealing no information about the identity ofthe desired message. In contrast to PIR-SI, in PA-PIR-SI, the dataset messagesare not assumed to be equally popular. That is, given the $M$ side informationmessages, each of the remaining $K-M$ messages is not necessarily equallylikely to be the message desired by the user. In this work, we focus on thesingle-server setting of PA-PIR-SI, and establish lower and upper bounds on thecapacity of this setting -- defined as the maximum possible achievable downloadrate. Our upper bound holds for any message popularity profile, and is the sameas the capacity of single-server PIR-SI. We prove the lower bound by presentinga PA-PIR-SI scheme which takes a novel probabilistic approach -- carefullydesigned based on the popularity profile -- to integrate two existing PIR-SIschemes. The rate of our scheme is strictly higher than that of the onlyexisting PIR-SI scheme applicable to the PA-PIR-SI setting.

Single-Server Private Information Retrieval with Side Information Under Arbitrary Popularity Profiles