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The secure summation problem is considered, where $K$ users, each holds an input, wish to compute the sum of their inputs at a server securely, i.e., without revealing any information beyond the sum even if the server may collude with any…

Information Theory · Computer Science 2022-05-18 Yizhou Zhao , Hua Sun

The secure summation problem, where $K$ users wish to compute the sum of their inputs at a server while revealing nothing about all $K$ inputs beyond the desired sum, is generalized in two aspects - first, the desired function is an…

Information Theory · Computer Science 2025-02-17 Xihang Yuan , Hua Sun

Secure aggregation usually aims at securely computing the sum of the inputs from $K$ users at a server. Noticing that the sum might inevitably reveal information about the inputs (when the inputs are non-uniform) and typically the users…

Information Theory · Computer Science 2023-07-26 Hua Sun

In the robust secure aggregation problem, a server wishes to learn and only learn the sum of the inputs of a number of users while some users may drop out (i.e., may not respond). The identity of the dropped users is not known a priori and…

Information Theory · Computer Science 2021-01-20 Yizhou Zhao , Hua Sun

Decentralized secure aggregation (DSA) considers a fully-connected network of $K$ users, where each pair of users can communicate bidirectionally over an error-free channel. Each user holds a private input, and the goal is for each user to…

Information Theory · Computer Science 2025-12-19 Zhou Li , Xiang Zhang , Giuseppe Caire

We study the fundamental limits of multi-server secure aggregation over a two-hop network where multiple servers, each connected to a disjoint subset of users, jointly compute the sum of all users' inputs. The goal is to ensure that no…

Information Theory · Computer Science 2026-04-30 Zhou Li , Xiang Zhang , Jiguang He , Giuseppe Caire

In hierarchical secure aggregation (HSA), a server communicates with clustered users through an intermediate layer of relays to compute the sum of users' inputs under two security requirements -- server security and relay security. Server…

Information Theory · Computer Science 2026-01-13 Zhou Li , Xiang Zhang , Jiawen Lv , Jihao Fan , Haiqiang Chen , Giuseppe Caire

For population studies or for the training of complex machine learning models, it is often required to gather data from different actors. In these applications, summation is an important primitive: for computing means, counts or mini-batch…

Cryptography and Security · Computer Science 2023-06-21 Valentin Hartmann , Robert West

This paper investigates the information-theoretic decentralized secure aggregation (DSA) problem under practical groupwise secret keys and collusion resilience. In DSA, $K$ users are interconnected through error-free broadcast channels.…

Information Theory · Computer Science 2025-11-19 Zhou Li , Xiang Zhang , Yizhou Zhao , Haiqiang Chen , Jihao Fan , Giuseppe Caire

Secure aggregation is a fundamental primitive in privacy-preserving distributed learning systems, where an aggregator aims to compute the sum of users' inputs without revealing individual data. In this paper, we study a multi-server secure…

Information Theory · Computer Science 2026-01-13 Zhou Li , Xiang Zhang , Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Secure sum computation of private data inputs is an interesting example of Secure Multiparty Computation (SMC) which has attracted many researchers to devise secure protocols with lower probability of data leakage. In this paper, we provide…

Cryptography and Security · Computer Science 2010-03-23 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

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

We propose a new cryptographic task, which we call verifiable quantum secure modulo summation. Secure modulo summation is a calculation of modulo summation $Y_1+\ldots+ Y_m$ when $m$ players have their individual variables $Y_1,\ldots, Y_m$…

Quantum Physics · Physics 2024-09-10 Masahito Hayashi , Takeshi Koshiba

Consider a source and multiple users who observe the independent and identically distributed (i.i.d.) copies of correlated Gaussian random variables. The source wishes to compress its observations and store the result in a public database…

Information Theory · Computer Science 2024-07-31 Hassan ZivariFard , Remi A. Chou

Secure aggregation is concerned with the task of securely uploading the inputs of multiple users to an aggregation server without letting the server know the inputs beyond their summation. It finds broad applications in distributed machine…

Information Theory · Computer Science 2026-01-16 Xiang Zhang , Kai Wan , Hua Sun , Shiqiang Wang , Mingyue Ji , Giuseppe Caire

Secure aggregation, which is a core component of federated learning, aggregates locally trained models from distributed users at a central server. The ``secure'' nature of such aggregation consists of the fact that no information about the…

Information Theory · Computer Science 2023-02-01 Kai Wan , Xin Yao , Hua Sun , Mingyue Ji , Giuseppe Caire

Secure sum computation of private data inputs is an important component of Secure Multi party Computation (SMC).In this paper we provide a protocol to compute the sum of individual data inputs with zero probability of data leakage. In our…

Cryptography and Security · Computer Science 2010-02-12 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

We study the fundamental communication limits of information-theoretic secure aggregation in a hierarchical network consisting of a server, multiple relays, and multiple users per relay. Communication proceeds over two rounds and two hops,…

Information Theory · Computer Science 2026-03-23 Zhou Li , Yizhou Zhao , Xiang Zhang , Giuseppe Caire

Motivated by the increasing demand for data security in decentralized federated learning (FL) and stochastic optimization, we formulate and investigate the problem of information-theoretic \emph{decentralized secure aggregation} (DSA).…

Information Theory · Computer Science 2026-03-24 Xiang Zhang , Zhou Li , Shuangyang Li , Kai Wan , Derrick Wing Kwan Ng , Giuseppe Caire

A collection of $K$ random variables are called $(K,n)$-MDS if any $n$ of the $K$ variables are independent and determine all remaining variables. In the MDS variable generation problem, $K$ users wish to generate variables that are…

Information Theory · Computer Science 2022-11-03 Yizhou Zhao , Hua Sun
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