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Related papers: Secure Summation: Capacity Region, Groupwise Key, …

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In secure summation, $K$ users, each holds an input, wish to compute the sum of the inputs at a server without revealing any information about {\em all the inputs} even if the server may collude with {\em an arbitrary subset of users}. In…

Information Theory · Computer Science 2023-04-20 Zhou Li , Yizhou Zhao , 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

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

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, 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

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

We study the hierarchical secure aggregation problem with groupwise keys. The problem consists of an aggregation server, $U$ relays, and $UV$ users, where each relay serves $V$ disjoint users, and each subset of $G$ users shares an…

Information Theory · Computer Science 2026-04-30 Minyang Lu , Zhou Li , Haiqiang Chen , Min Xie

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

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

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

Information-theoretic topological secure aggregation (TSA)\cite{zhang2026information_regular} enables distributed users to compute neighborhood sums over arbitrary networks without revealing individual inputs, while remaining…

Information Theory · Computer Science 2026-05-06 Xiang Zhang , Han Yu , Zhou Li , Yizhou Zhao , Giuseppe Caire

This paper considers a multi-message secure aggregation with privacy problem, in which a server aims to compute $\sf K_c\geq 1$ linear combinations of local inputs from $\sf K$ distributed users. The problem addresses two tasks: (1)…

Information Theory · Computer Science 2025-10-14 Chenyi Sun , Ziting Zhang , Kai Wan , Giuseppe Caire

This paper considers the secure aggregation problem for federated learning under an information theoretic cryptographic formulation, where distributed training nodes (referred to as users) train models based on their own local data and a…

Information Theory · Computer Science 2023-11-14 Kai Wan , Hua Sun , Mingyue Ji , Tiebin Mi , Giuseppe Caire

This paper considers a new secure gradient coding problem with uncoded groupwise keys, formalized as a (K, N, N_r, M, S) secure gradient coding model, where a user aims to compute the sum of the gradients from K datasets with the assistance…

Information Theory · Computer Science 2026-04-15 Xudong You , Kai Wan , Xiang Zhang , Wenbo Huang , Robert Caiming Qiu , 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 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

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

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

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

Secure Multiparty Computation (SMC) allows parties to know the result of cooperative computation while preserving privacy of individual data. Secure sum computation is an important application of SMC. In our proposed protocols parties are…

Cryptography and Security · Computer Science 2009-12-08 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra
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