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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

Federated learning promises to make machine learning feasible on distributed, private datasets by implementing gradient descent using secure aggregation methods. The idea is to compute a global weight update without revealing the…

Machine Learning · Computer Science 2019-12-03 Badih Ghazi , Rasmus Pagh , Ameya Velingker

We consider a private distributed multiplication problem involving N computation nodes and T colluding nodes. Shamir's secret sharing algorithm provides perfect information-theoretic privacy, while requiring an honest majority, i.e., N \ge…

Information Theory · Computer Science 2025-12-10 Haoyang Hu , Viveck R. Cadambe

Computing the noisy sum of real-valued vectors is an important primitive in differentially private learning and statistics. In private federated learning applications, these vectors are held by client devices, leading to a distributed…

Cryptography and Security · Computer Science 2022-02-23 Kunal Talwar

We introduce the Poisson Binomial mechanism (PBM), a discrete differential privacy mechanism for distributed mean estimation (DME) with applications to federated learning and analytics. We provide a tight analysis of its privacy guarantees,…

Cryptography and Security · Computer Science 2022-07-21 Wei-Ning Chen , Ayfer Özgür , Peter Kairouz

Advances in communications, storage and computational technology allow significant quantities of data to be collected and processed by distributed devices. Combining the information from these endpoints can realize significant societal…

Cryptography and Security · Computer Science 2022-02-01 Mary Scott , Graham Cormode , Carsten Maple

This paper presents a perfectly secure matrix multiplication (PSMM) protocol for multiparty computation (MPC) of $\mathrm{A}^{\top}\mathrm{B}$ over finite fields. The proposed scheme guarantees correctness and information-theoretic privacy…

Information Theory · Computer Science 2026-01-16 Zixuan He , Mohammad Reza Deylam Salehi , Derya Malak , Photios A. Stavrou

This paper deals with distributed matrix multiplication. Each player owns only one row of both matrices and wishes to learn about one distinct row of the product matrix, without revealing its input to the other players. We first improve on…

Cryptography and Security · Computer Science 2016-07-14 Jean-Guillaume Dumas , Pascal Lafourcade , Jean-Baptiste Orfila , Maxime Puys

We consider the problem of private distributed multi-party multiplication. It is well-established that Shamir secret-sharing coding strategies can enable perfect information-theoretic privacy in distributed computation via the celebrated…

Information Theory · Computer Science 2025-01-20 Viveck R. Cadambe , Ateet Devulapalli , Haewon Jeong , Flavio P. Calmon

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

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

This study concentrates on preserving privacy in a network of agents where each agent seeks to evaluate a general polynomial function over the private values of her immediate neighbors. We provide an algorithm for the exact evaluation of…

Cryptography and Security · Computer Science 2022-06-08 Teimour Hosseinalizadeh , Fatih Turkmen , Nima Monshizadeh

We revisit the problem of secure aggregation of high-dimensional vectors in a two-server system such as Prio. These systems are typically used to aggregate vectors such as gradients in private federated learning, where the aggregate itself…

Cryptography and Security · Computer Science 2025-07-15 Hilal Asi , Vitaly Feldman , Hannah Keller , Guy N. Rothblum , Kunal Talwar

Much research has been conducted to securely outsource multiple parties' data aggregation to an untrusted aggregator without disclosing each individual's data, or to enable multiple parties to jointly aggregate their data while preserving…

Cryptography and Security · Computer Science 2015-11-23 Taeho Jung , XuFei Mao , Xiang-Yang Li , Shaojie Tang , Wei Gong , Lan Zhang

In this work, we investigate the problem of private statistical analysis in the distributed and semi-honest setting. In particular, we study properties of Private Stream Aggregation schemes, first introduced by Shi et al. \cite{2}. These…

Cryptography and Security · Computer Science 2015-07-30 Filipp Valovich , Francesco Aldà

The emerging technologies for large scale data analysis raise new challenges to the security and privacy of sensitive user data. In this work we investigate the problem of private statistical analysis of time-series data in the distributed…

Cryptography and Security · Computer Science 2017-12-05 Filipp Valovich , Francesco Aldà

There has been work that exploits polynomial approximation to solve distributed nonconvex optimization problems involving univariate objectives. This idea facilitates arbitrarily precise global optimization without requiring local…

Optimization and Control · Mathematics 2024-03-25 Zhiyu He , Jianping He , Cailian Chen , Xinping Guan

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

In this paper, we study the problem of summation evaluation of secrets. The secrets are distributed over a network of nodes that form a ring graph. Privacy-preserving iterative protocols for computing the sum of the secrets are proposed,…

Cryptography and Security · Computer Science 2020-04-15 Yang Liu , Qingchen Liu , Xiong Zhang , Shuqi Qin , Xiaoping Lei

In this brief, we present an enhanced privacy-preserving distributed estimation algorithm, referred to as the ``Double-Private Algorithm," which combines the principles of both differential privacy (DP) and cryptography. The proposed…

Signal Processing · Electrical Eng. & Systems 2024-03-19 Mehdi Korki , Fatemehsadat Hosseiniamin , Hadi Zayyani , Mehdi Bekrani
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