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This paper studies the distributed multi-agent resilient optimization problem under the f-total Byzantine attacks. Compared with the previous work on Byzantineresilient multi-agent exact optimization problems, we do not require the…

Optimization and Control · Mathematics 2023-03-29 Yang Zhai , Zhi-Wei Liu , Dong Yue , Songlin Hu , Xiangpeng Xie

We present new protocols for Byzantine state machine replication and Byzantine agreement in the synchronous and authenticated setting. The celebrated PBFT state machine replication protocol tolerates $f$ Byzantine faults in an asynchronous…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-14 Ittai Abraham , Srinivas Devadas , Danny Dolev , Kartik Nayak , Ling Ren

Matching is one of the most fundamental and broadly applicable problems across many domains. In these diverse real-world applications, there is often a degree of uncertainty in the input which has led to the study of stochastic matching…

Data Structures and Algorithms · Computer Science 2026-04-21 Brian Brubach , Nathaniel Grammel , Will Ma , Calum MacRury , Aravind Srinivasan

In the Lattice Agreement (LA) problem, originally proposed by Attiya et al. \cite{Attiya:1995}, a set of processes has to decide on a chain of a lattice. More precisely, each correct process proposes an element $e$ of a certain join-semi…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-14 Giuseppe Antonio Di Luna , Emmanuelle Anceaume , Silvia Bonomi , Leonardo Querzoni

We study Byzantine collaborative learning, where $n$ nodes seek to collectively learn from each others' local data. The data distribution may vary from one node to another. No node is trusted, and $f < n$ nodes can behave arbitrarily. We…

In distributed systems, a group of $\textit{learners}$ achieve $\textit{consensus}$ when, by observing the output of some $\textit{acceptors}$, they all arrive at the same value. Consensus is crucial for ordering transactions in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-14 Isaac Sheff , Xinwen Wang , Robbert van Renesse , Andrew C. Myers

Distributed control systems require high reliability and availability guarantees despite often being deployed at the edge of network infrastructure. Edge computing resources are less secure and less reliable than centralized resources in…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-21 Roy Shadmon , Daniel Spencer , Owen Arden

Consensus in decentralized systems that asynchronously receive events and which are subject to Byzantine faults is a common problem with many real-life applications. Advances in decentralized systems, such as distributed ledger (i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-05 Fedor Muratov , Andrei Lebedev , Nikolai Iushkevich , Bulat Nasrulin , Makoto Takemiya

In this work, we propose ultra-low-complexity design solutions for multi-group multicast beamforming in large-scale systems. For the quality-of-service (QoS) problem, by utilizing the optimal multicast beamforming structure obtained…

Information Theory · Computer Science 2023-04-17 Chong Zhang , Min Dong , Ben Liang

Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

Information Theory · Computer Science 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel

Bilevel optimization problems are receiving increasing attention in machine learning as they provide a natural framework for hyperparameter optimization and meta-learning. A key step to tackle these problems is the efficient computation of…

Machine Learning · Statistics 2025-05-20 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

In the Bitcoin white paper, Nakamoto proposed a very simple Byzantine fault tolerant consensus algorithm that is also known as Nakamoto consensus. Despite its simplicity, some existing analysis of Nakamoto consensus appears to be long and…

Cryptography and Security · Computer Science 2019-10-22 Jianyu Niu , Chen Feng , Hoang Dau , Yu-Chih Huang , Jingge Zhu

Consider an asynchronous system with private channels and $n$ processes, up to $t$ of which may be faulty. We settle a longstanding open question by providing a Byzantine agreement protocol that simultaneously achieves three properties: 1.…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-08-12 Ittai Abraham , Danny Dolev , Joseph Y. Halpern

In this paper we propose Aleph, a leaderless, fully asynchronous, Byzantine fault tolerant consensus protocol for ordering messages exchanged among processes. It is based on a distributed construction of a partially ordered set and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-30 Adam Gągol , Michał Świętek

Developing an optimal PAC learning algorithm in the realizable setting, where empirical risk minimization (ERM) is suboptimal, was a major open problem in learning theory for decades. The problem was finally resolved by Hanneke a few years…

Machine Learning · Statistics 2024-03-15 Ishaq Aden-Ali , Mikael Møller Høgsgaard , Kasper Green Larsen , Nikita Zhivotovskiy

Recently, there have been growing interests in solving consensus optimization problems in a multi-agent network. In this paper, we develop a decentralized algorithm for the consensus optimization problem…

Optimization and Control · Mathematics 2014-12-02 Wei Shi , Qing Ling , Gang Wu , Wotao Yin

We introduce a new class of distributed algorithms for the approximate consensus problem in dynamic rooted networks, which we call amortized averaging algorithms. They are deduced from ordinary averaging algorithms by adding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-15 Bernadette Charron-Bost , Matthias Függer , Thomas Nowak

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Distributed learning has emerged as a leading paradigm for training large machine learning models. However, in real-world scenarios, participants may be unreliable or malicious, posing a significant challenge to the integrity and accuracy…

Machine Learning · Computer Science 2024-06-10 Grigory Malinovsky , Peter Richtárik , Samuel Horváth , Eduard Gorbunov

The Consensus Clustering problem has been introduced as an effective way to analyze the results of different microarray experiments. The problem consists of looking for a partition that best summarizes a set of input partitions (each…

Data Structures and Algorithms · Computer Science 2009-07-13 Paola Bonizzoni , Gianluca Della Vedova , Riccardo Dondi