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The success of blockchains has sparked interest in large-scale deployments of Byzantine fault tolerant (BFT) consensus protocols over wide area networks. A central feature of such networks is variable communication bandwidth across nodes…

Networking and Internet Architecture · Computer Science 2024-06-21 Lei Yang , Seo Jin Park , Mohammad Alizadeh , Sreeram Kannan , David Tse

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

We present an algorithm for synchronous deterministic Byzantine consensus, tolerant to links failures and links asynchrony. It cares for a class of networks with specific needs, where both safety and liveness are essential, and timely…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-24 Ivan Klianev

Reliable broadcast (RBC) is a key primitive in fault-tolerant distributed systems, and improving its efficiency can benefit a wide range of applications. This work focuses on signature-free RBC protocols, which are particularly attractive…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-26 Nibesh Shrestha , Qianyu Yu , Aniket Kate , Giuliano Losa , Kartik Nayak , Xuechao Wang

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

The width $k$ of a directed acyclic graph (DAG) $G = (V, E)$ equals the largest number of pairwise non-reachable vertices. Computing the width dates back to Dilworth's and Fulkerson's results in the 1950s, and is doable in quadratic time in…

Data Structures and Algorithms · Computer Science 2021-06-25 Manuel Cáceres , Massimo Cairo , Brendan Mumey , Romeo Rizzi , Alexandru I. Tomescu

Distributed ledgers, including blockchain and other decentralized databases, are designed to store information online where all trusted network members can update the data with transparency. The dynamics of ledger's development can be…

Probability · Mathematics 2026-03-10 Jiewei Feng , Christopher King

Directed acyclic graphs (DAGs) are used for modeling causal relationships, dependencies, and flows in various systems. However, spectral analysis becomes impractical in this setting because the eigendecomposition of the adjacency matrix…

Information Theory · Computer Science 2024-10-22 Ljubisa Stankovic , Milos Dakovic , Ali Bagheri Bardi , Milos Brajovic , Isidora Stankovic

We study the following generalization of the well-known model of broadcasting on trees. Consider an infinite directed acyclic graph (DAG) with a unique source node $X$. Let the collection of nodes at distance $k$ from $X$ be called the…

Information Theory · Computer Science 2018-03-21 Anuran Makur , Elchanan Mossel , Yury Polyanskiy

A DAG compression of a (typically dense) graph is a simple data structure that stores how vertex clusters are connected, where the clusters are described indirectly as sets of reachable sinks in a directed acyclic graph (DAG). They…

Data Structures and Algorithms · Computer Science 2026-03-24 Florian Chudigiewitsch , Till Tantau , Felix Winkler

Directed acyclic graphs (DAGs) are a class of graphs commonly used in practice, with examples that include electronic circuits, Bayesian networks, and neural architectures. While many effective encoders exist for DAGs, it remains…

Machine Learning · Computer Science 2025-05-30 Michael Sun , Orion Foo , Gang Liu , Wojciech Matusik , Jie Chen

Most methods for Byzantine fault tolerance (BFT) in the partial synchrony setting divide the local state of the nodes into views, and the transition from one view to the next dictates a leader change. In order to provide liveness, all…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-07 Oded Naor , Mathieu Baudet , Dahlia Malkhi , Alexander Spiegelman

Numerous distributed tasks have to be handled in a setting where a fraction of nodes behaves Byzantine, that is, deviates arbitrarily from the intended protocol. Resilient, deterministic protocols rely on the detection of majorities to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-10 Philipp Schneider

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

Methodology · Statistics 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

We introduce FnF-BFT, a parallel-leader byzantine fault-tolerant state-machine replication protocol for the partially synchronous model with theoretical performance bounds during synchrony. By allowing all replicas to act as leaders and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-11 Zeta Avarikioti , Lioba Heimbach , Roland Schmid , Laurent Vanbever , Roger Wattenhofer , Patrick Wintermeyer

This paper introduces Nemo-Nemo, a practical crash-fault tolerant (CFT) consensus protocol designed to outperform existing protocols in wide-area networks by bridging design principles from the CFT and Byzantine-fault tolerant (BFT) worlds.…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-13 Rithwik Kerur , Pasindu Tennage , Philipp Jovanovic , Dahlia Malkhi , Alberto Sonnino , Igor Zablotchi

The surging interest in blockchain technology has revitalized the search for effective Byzantine consensus schemes. In particular, the blockchain community has been looking for ways to effectively integrate traditional Byzantine…

Cryptography and Security · Computer Science 2018-11-15 Jian Liu , Wenting Li , Ghassan O. Karame , N. Asokan

Federated learning (FL) aims to collaboratively train a global model while ensuring client data privacy. However, FL faces challenges from the non-IID data distribution among clients. Clustered FL (CFL) has emerged as a promising solution,…

Machine Learning · Computer Science 2023-08-28 Xiaofeng Xue , Haokun Mao , Qiong Li

Distributed Ledger Technologies provide a mechanism to achieve ordering among transactions that are scattered on multiple participants with no prerequisite trust relations. This mechanism is essentially based on the idea of new transactions…

Probability · Mathematics 2021-10-01 Christian Mönch , Amr Rizk

We consider an asynchronous network of $n$ message-sending parties, up to $t$ of which are byzantine. We study approximate agreement, where the parties obtain approximately equal outputs in the convex hull of their inputs. In their seminal…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-01 Mose Mizrahi Erbes , Roger Wattenhofer