2015
DOI: 10.1007/978-3-662-49096-9_8
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Order-Revealing Encryption and the Hardness of Private Learning

Abstract: An order-revealing encryption scheme gives a public procedure by which two ciphertexts can be compared to reveal the ordering of their underlying plaintexts. We show how to use order-revealing encryption to separate computationally efficient PAC learning from efficient (ε, δ)-differentially private PAC learning. That is, we construct a concept class that is efficiently PAC learnable, but for which every efficient learner fails to be differentially private. This answers a question of Kasiviswanathan et al. (FOC… Show more

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Cited by 23 publications
(10 citation statements)
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“…However, the performance of Lewi-Wu [22] decreased exponentially as the block size increased and Lewi-Wu [22] would take a lot of time due to the use of hash primitives. Subsequent works [19,24,39,40] had conducted many studies on other information leakages that compromise the confidentiality and privacy of the entire data. In 2017, Haagh et al [40] generalized the cryptographic notion of ORE to arbitrary functions and did not rely on cryptographic obfuscation or multilinear map.…”
Section: Related Workmentioning
confidence: 99%
“…However, the performance of Lewi-Wu [22] decreased exponentially as the block size increased and Lewi-Wu [22] would take a lot of time due to the use of hash primitives. Subsequent works [19,24,39,40] had conducted many studies on other information leakages that compromise the confidentiality and privacy of the entire data. In 2017, Haagh et al [40] generalized the cryptographic notion of ORE to arbitrary functions and did not rely on cryptographic obfuscation or multilinear map.…”
Section: Related Workmentioning
confidence: 99%
“…Recently, Bun and Zhandry [13] investigated the connection between orderrevealing encryption and problems in learning theory.…”
Section: Orementioning
confidence: 99%
“…In addition, there are a number of ORE schemes [10,18,46,16,15,11,28,24] that have been proposed. We choose the most practical and most secure of them [18,46,16], to include in the comparison.…”
Section: Related Workmentioning
confidence: 99%