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Private set intersection (PSI) enables a sender holding a set $Q$ of size $m$ and a receiver holding a set $W$ of size $n$ to securely compute the intersection $Q \cap W$. Fuzzy PSI (FPSI) is a PSI variant where the receiver learns the…

Cryptography and Security · Computer Science 2026-04-17 Xinpeng Yang , Meng Hao , Chenkai Weng , Robert H. Deng , Yonggang Wen , Tianwei Zhang

Private Set Intersection (PSI) is usually implemented as a sequence of encryption rounds between pairs of users, whereas the present work implements PSI in a simpler fashion: each set only needs to be encrypted once, after which each pair…

Cryptography and Security · Computer Science 2014-05-22 Nicholas Kersting

Private set intersection (PSI) and private set union (PSU) are the crucial primitives in secure multiparty computation protocols, which enable several participants to jointly compute the intersection and union of their private sets without…

Quantum Physics · Physics 2024-12-03 Chong-Qiang Ye , Jian Li , Tianyu Ye , Xiaoyu Chen

In the private matching problem, a client and a server each hold a set of $n$ input elements. The client wants to privately compute the intersection of these two sets: he learns which elements he has in common with the server (and nothing…

Cryptography and Security · Computer Science 2007-10-30 Łukasz Chmielewski , Jaap-Henk Hoepman

Multi-party private set union (MPSU) protocol enables $m$ $(m > 2)$ parties, each holding a set, to collectively compute the union of their sets without revealing any additional information to other parties. There are two main categories of…

Cryptography and Security · Computer Science 2024-09-10 Minglang Dong , Yu Chen , Cong Zhang , Yujie Bai

Private Set Intersection (PSI) is a vital cryptographic technique used for securely computing common data of different sets. In PSI protocols, often two parties hope to find their common set elements without needing to disclose their…

Cryptography and Security · Computer Science 2021-02-01 Alireza Kavousi , Javad Mohajeri , Mahmoud Salmasizadeh

Typical protocols in the multi-party private set operations (MPSO) setting enable m > 2 parties to perform certain secure computation on the intersection or union of their private sets, realizing a very limited range of MPSO…

Cryptography and Security · Computer Science 2025-04-30 Minglang Dong , Yu Chen , Cong Zhang , Yujie Bai , Yang Cao

We propose a novel protocol for computing a circuit which implements the multi-party private set intersection functionality (PSI). Circuit-based approach has advantages over using custom protocols to achieve this task, since many…

Cryptography and Security · Computer Science 2023-09-15 Jiuheng Su , Zhili Chen

We present new two-party protocols for the Unbalanced Private Set Union (UPSU) problem. Here, the Sender holds a set of data points, and the Receiver holds another (possibly much larger) set, and they would like for the Receiver to learn…

Cryptography and Security · Computer Science 2025-11-19 Jean-Guillaume Dumas , Alexis Galan , Bruno Grenet , Aude Maignan , Daniel S. Roche

Vertical Federated Learning (vFL) allows multiple parties that own different attributes (e.g. features and labels) of the same data entity (e.g. a person) to jointly train a model. To prepare the training data, vFL needs to identify the…

Machine Learning · Computer Science 2021-06-11 Jiankai Sun , Xin Yang , Yuanshun Yao , Aonan Zhang , Weihao Gao , Junyuan Xie , Chong Wang

In a Private section intersection (PSI) protocol, Alice and Bob compute the intersection of their respective sets without disclosing any element not in the intersection. PSI protocols have been extensively studied in the literature and are…

Cryptography and Security · Computer Science 2022-09-29 Florian Kerschbaum , Erik-Oliver Blass , Rasoul Akhavan Mahdavi

Federated Learning (FL) enables collaborative model training among multiple parties without centralizing raw data. There are two main paradigms in FL: Horizontal FL (HFL), where all participants share the same feature space but hold…

We present a new circuit-based protocol for multi-party private set intersection (PSI) that allows m parties to compute the intersection of their datasets without revealing any additional information about the items outside the…

Cryptography and Security · Computer Science 2024-01-24 Jiuheng Su , Zhili Chen , Xiaomin Yang

Secure computation protocols combine inputs from involved parties to generate an output while keeping their inputs private. Private Set Intersection (PSI) is a secure computation protocol that allows two parties, who each hold a set of…

Cryptography and Security · Computer Science 2024-10-07 Yuvaraj Athur Raghuvir , Senthil Govindarajan , Sanjeevi Vijayakumar , Pradeep Yadlapalli , Fabio Di Troia

Two parties with private data sets can find shared elements using a Private Set Intersection (PSI) protocol without revealing any information beyond the intersection. Circuit PSI protocols privately compute an arbitrary function of the…

One way to classify private set intersection (PSI) for secure 2-party computation is whether the intersection is (a) revealed to both parties or (b) hidden from both parties while only the computing function of the matched payload is…

Cryptography and Security · Computer Science 2022-08-30 Jian Du , Tianxi Ji , Jamie Cui , Lei Zhang , Yufei Lu , Pu Duan

Multiparty private set intersection (MPSI) allows multiple participants to compute the intersection of their locally owned data sets without revealing them. MPSI protocols can be categorized based on the network topology of nodes, with the…

Cryptography and Security · Computer Science 2025-06-03 Xinyu Feng , Yukun Wang , Cong Li , Wu Xin , Ming Yao , Dian Zhang , Wanwan Wang , Hao He

Multi-Party Private Set Intersection (MP-PSI) with threshold enhances the flexibility of MP-PSI by disclosing elements present in at least $t$ participants' sets, rather than requiring elements to appear in all $n$ sets. In scenarios where…

Cryptography and Security · Computer Science 2026-01-01 Le Yang , Weijing You , Huiyang He , Kailiang Ji , Jingqiang Lin

Private Set Intersection (PSI) is a widely used protocol that enables two parties to securely compute a function over the intersected part of their shared datasets and has been a significant research focus over the years. However, recent…

Cryptography and Security · Computer Science 2023-12-01 Bo Jiang , Jian Du , Qiang Yan

Private set intersection (PSI) allows two mutually untrusting parties to compute an intersection of their sets, without revealing information about items that are not in the intersection. This work introduces a PSI variant called…

Cryptography and Security · Computer Science 2022-07-20 Anrin Chakraborti , Giulia Fanti , Michael K. Reiter
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