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We investigate the problem of multi-party private set intersection (MP-PSI). In MP-PSI, there are $M$ parties, each storing a data set $\mathcal{p}_i$ over $N_i$ replicated and non-colluding databases, and we want to calculate the…

Information Theory · Computer Science 2020-08-18 Zhusheng Wang , Karim Banawan , Sennur Ulukus

MultiParty Session Types (MPST) provide a useful framework for safe concurrent systems. Mixed choice (enabling a participant to play at the same time the roles of sender and receiver) increases the expressive power of MPST as well as the…

Logic in Computer Science · Computer Science 2025-08-20 Franco Barbanera , Mariangiola Dezani-Ciancaglini

This study examines a resource-sharing problem involving multiple parties that agree to use a set of capacities together. We start with modeling the whole problem as a mathematical program, where all parties are required to exchange…

Optimization and Control · Mathematics 2024-01-08 Utku Karaca , Nursen Aydin , Sinan Yildirim , S. Ilker Birbil

Performing computations while maintaining privacy is an important problem in todays distributed machine learning solutions. Consider the following two set ups between a client and a server, where in setup i) the client has a public data…

Machine Learning · Computer Science 2022-01-27 Praneeth Vepakomma , Julia Balla , Ramesh Raskar

The iterative consensus problem requires a set of processes or agents with different initial values, to interact and update their states to eventually converge to a common value. Protocols solving iterative consensus serve as building…

Cryptography and Security · Computer Science 2012-08-10 Zhenqi Huang , Sayan Mitra , Geir Dullerud

Secure Multi-Party Computation (SMC) allows parties with similar background to compute results upon their private data, minimizing the threat of disclosure. The exponential increase in sensitive data that needs to be passed upon networked…

Cryptography and Security · Computer Science 2009-08-10 Dr. Durgesh Kumar Mishra , Neha Koria , Nikhil Kapoor , Ravish Bahety

Private Set Multi-Party Computations are protocols that allow parties to jointly and securely compute functions: apart from what is deducible from the output of the function, the input sets are kept private. Then, a Private Set Union (PSU),…

Cryptography and Security · Computer Science 2026-01-29 Jean-Guillaume Dumas , Aude Maignan , Luiza Soezima

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…

We consider protocols where users communicate with multiple servers to perform a computation on the users' data. An adversary exerts semi-honest control over many of the parties but its view is differentially private with respect to honest…

Cryptography and Security · Computer Science 2022-08-19 Albert Cheu , Chao Yan

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 computation, which includes techniques like multi-party computation and private query execution, holds great promise for enabling organizations to analyze data they and their partners hold while maintaining data subjects' privacy.…

Cryptography and Security · Computer Science 2023-08-24 Bailey Kacsmar , Vasisht Duddu , Kyle Tilbury , Blase Ur , Florian Kerschbaum

A multiparty session formalises a set of concurrent communicating participants. We propose a type system for multiparty sessions where some communications between participants can be ignored. This allows us to type some sessions with global…

Logic in Computer Science · Computer Science 2023-08-22 Franco Barbanera , Mariangiola Dezani-Ciancaglini

Secure Multi-Party Computation (SMC) allows multiple parties to compute some function of their inputs without disclosing the actual inputs to one another. Secure sum computation is an easily understood example and the component of the…

Cryptography and Security · Computer Science 2010-03-25 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

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

In previous work (arXiv:0910.5714), we introduced the Privacy Approximation Ratio (PAR) and used it to study the privacy of protocols for second-price Vickrey auctions and Yao's millionaires problem. Here, we study the PARs of multiple…

Cryptography and Security · Computer Science 2010-06-10 Joan Feigenbaum , Aaron D. Jaggard , Michael Schapira

We consider a problem, which we call secure grouping, of dividing a number of parties into some subsets (groups) in the following manner: Each party has to know the other members of his/her group, while he/she may not know anything about…

Cryptography and Security · Computer Science 2018-10-17 Yuji Hashimoto , Kazumasa Shinagawa , Koji Nuida , Masaki Inamura , Goichiro Hanaoka

This paper proposes Prism, a secret sharing based approach to compute private set operations (i.e., intersection and union), as well as aggregates over outsourced databases belonging to multiple owners. Prism enables data owners to pre-load…

Databases · Computer Science 2021-04-09 Yin Li , Dhrubajyoti Ghosh , Peeyush Gupta , Sharad Mehrotra , Nisha Panwar , Shantanu Sharma

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

Many data analysis operations can be expressed as a GROUP BY query on an unbounded set of partitions, followed by a per-partition aggregation. To make such a query differentially private, adding noise to each aggregation is not enough: we…

Cryptography and Security · Computer Science 2021-11-01 Damien Desfontaines , James Voss , Bryant Gipson , Chinmoy Mandayam

We study the problem of interactive function computation by multiple parties possessing a single bit each in a differential privacy setting (i.e., there remains an uncertainty in any specific party's bit even when given the transcript of…

Cryptography and Security · Computer Science 2014-10-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath