UC Secure Private Branching Program and Decision Tree Evaluation

Keyu Ji; Bingsheng Zhang; Tianpei Lu; Lichun Li; Kui Ren

Paper 2021/1390

UC Secure Private Branching Program and Decision Tree Evaluation

Keyu Ji

Bingsheng Zhang

Tianpei Lu

Lichun Li

Kui Ren

Abstract

Branching program (BP) is a DAG-based non-uniform computational model for L/poly class. It has been widely used in formal verification, logic synthesis, and data analysis. As a special BP, a decision tree is a popular machine learning classifier for its effectiveness and simplicity. In this work, we propose a UC-secure efficient 3-party computation platform for outsourced branching program and/or decision tree evaluation. We construct a constant-round protocol and a linear-round protocol. In particular, the overall (online + offline) communication cost of our linear-round protocol is and its round complexity is , where is the DAG size, is the number of features, is the feature length, and is the longest path length. To enable efficient oblivious hopping among the DAG nodes, we propose a lightweight -out-of- shared OT protocol with logarithmic communication in both online and offline phase. This partial result may be of independent interest to some other cryptographic protocols. Our benchmark shows, compared with the state-of-the-arts, the proposed constant-round protocol is up to 10X faster in the WAN setting, while the proposed linear-round protocol is up to 15X faster in the LAN setting.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Published elsewhere. IEEE Transactions on Dependable and Secure Computing
DOI: 10.1109/TDSC.2022.3202916
Keywords: branching program decision tree
Contact author(s): jikeyu @ zju edu cn
bingsheng @ zju edu cn
History: 2022-11-01: last of 4 revisions; 2021-10-15: received; See all versions
Short URL: https://ia.cr/2021/1390
License: CC BY

BibTeX

@misc{cryptoeprint:2021/1390,
      author = {Keyu Ji and Bingsheng Zhang and Tianpei Lu and Lichun Li and Kui Ren},
      title = {{UC} Secure Private Branching Program and Decision Tree Evaluation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2021/1390},
      year = {2021},
      doi = {10.1109/TDSC.2022.3202916},
      url = {https://eprint.iacr.org/2021/1390}
}