Can We Access a Database Both Locally and Privately?

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Private Stateful Information Retrieval (2018, methodology): “[12] present a public-key DEPIR scheme using a variant of obfuscation.”
PIR with Compressed Queries and Amortized Query Processing (2018, methodology): “This works well, so recent works [15, 21] employ an analogous preprocessing approach in CPIR schemes.”
Communication-Computation Trade-offs in PIR (2019, background): “Two works [10, 12] consider doubly-efficient PIRs that attempt to obtain schemes with sub-linear computational costs, but require both significant server overhead and new cryptographic assumptions precluding them from practical applications.”