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The classical persistence algorithm computes the unique decomposition of a persistence module implicitly given by an input simplicial filtration. Based on matrix reduction, this algorithm is a cornerstone of the emergent area of topological…

Algebraic Topology · Mathematics 2021-12-07 Tamal K. Dey , Cheng Xin

This paper addresses the one-bit consensus of controllable linear multi-agent systems (MASs) with communication noises. A consensus algorithm consisting of a communication protocol and a consensus controller is designed. The communication…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Ru An , Ying Wang , Yanlong Zhao , Ji-Feng Zhang

Each application developer desires to provide its users with consistent results and an always-available system despite failures. Boldly, the CALM theorem disagrees. It states that it is hard to design a system that is both consistent and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-25 Junchao Chen , Suyash Gupta , Daniel P. Hughes , Mohammad Sadoghi

HPC systems expose many configuration parameters that jointly drive competing objectives. Existing tools such as autotuners recommend good configurations but do not identify minimal changes for a near-miss configuration to meet a…

Performance · Computer Science 2026-04-28 Ankur Lahiry , Banooqa Banday , Yugesh Bhattarai , Mohammad Zaeed , Tanzima Z. Islam

Consensus is one of the most fundamental distributed computing problems. In particular, it serves as a building block in many replication based fault-tolerant systems and in particular in multiple recent blockchain solutions. Depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-08 Yehonatan Buchnik , Roy Friedman

Decentralized systems built around blockchain technology promise clients an immutable ledger. They add a transaction to the ledger after it undergoes consensus among the replicas that run a Proof-of-Stake (PoS) or Byzantine Fault-Tolerant…

Cryptography and Security · Computer Science 2025-08-08 Junchao Chen , Suyash Gupta , Alberto Sonnino , Lefteris Kokoris-Kogias , Mohammad Sadoghi

The Heard-Of model is a simple and relatively expressive model of distributed computation. Because of this, it has gained a considerable attention of the verification community. We give a characterization of all algorithms solving consensus…

Logic in Computer Science · Computer Science 2020-04-22 A. R. Balasubramanian , Igor Walukiewicz

We strive to use session type technology to prove behavioural properties of fault-tolerant distributed algorithms. Session types are designed to abstractly capture the structure of (even multi-party) communication protocols. The goal of…

Logic in Computer Science · Computer Science 2017-05-05 Manuel Adameit , Kirstin Peters , Uwe Nestmann

We present convergence and error estimates of the time-discrete consensus-based optimization(CBO) algorithms proposed in [arXiv:1909.09249] for general nonconvex functions. In authors' recent work [arxiv: 1910.08239], rigorous error…

Optimization and Control · Mathematics 2020-03-12 Seug-Yeal Ha , Shi Jin , Doheon Kim

The classic Fischer, Lynch, and Paterson impossibility proof demonstrates that any deterministic protocol for consensus in either a message-passing or shared-memory system must violate at least one of termination, validity, or agreement in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 James Aspnes , Shlomi Dolev , Amit Hendin

In this paper we carry out a stability analysis of a distributed consensus algorithm in presence of link failures. The algorithm combines a new broadcast version of a Push-Sum algorithm, specifically designed for handling link failures,…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Stefano Battilotti , Filippo Cacace , Massimiliano d'Angelo

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

State-machine replication, a fundamental approach to fault tolerance, requires replicas to execute commands deterministically, which usually results in sequential execution of commands. Sequential execution limits performance and underuses…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-29 Parisa Jalili Marandi , Fernando Pedone

Distributed systems have become increasingly prevalent in the software industry. Due to their intrinsic complexity, much research has focused on the verification of their behaviour. An active research line is around behaviour models that…

Programming Languages · Computer Science 2026-04-09 Francisco Parrinha , João Mota , António Ravara

Consensus is arguably one of the most important notions in distributed computing. Among asynchronous, randomized, and signature-free implementations, the protocols of Most\'efaoui et al. (PODC 2014 and JACM 2015) represent a landmark…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-03 Christian Cachin , Luca Zanolini

We present Crossword, a flexible consensus protocol for dynamic data-heavy workloads, a rising challenge in the cloud where replication payload sizes span a wide spectrum and introduce sporadic bandwidth stress. Crossword applies…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-10 Guanzhou Hu , Yiwei Chen , Andrea Arpaci-Dusseau , Remzi Arpaci-Dusseau

One of the most celebrated problems of fault-tolerant distributed computing is the consensus problem. It was shown to abstract a myriad of problems in which processes have to agree on a single value. Consensus applications include…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-13 Romaric Duvignau , Michel Raynal , Elad Michael Schiller

Overdecomposition has emerged as a powerful and sometimes essential technique in parallel programming. Many application domains or frameworks, including those based on adaptive mesh refinements, or tree codes use it. Charm++ is a parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-14 Aditya Bhosale , Anant Jain , Shourya Goel , Ritvik Rao , Peddoju Sateesh Kumar , Laxmikant Kale

Recent research in consensus has often focussed on protocols for State-Machine-Replication (SMR) that can handle high throughputs. Such state-of-the-art protocols (generally DAG-based) induce undue overhead when the needed throughput is…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-08 Andrew Lewis-Pye , Ehud Shapiro

Agreement protocols have been typically deployed at small scale, e.g., using three to five machines. This is because these protocols seem to suffer from a sharp performance decay. More specifically, as the size of a deployment---i.e.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-20 Rachid Guerraoui , Jad Hamza , Dragos-Adrian Seredinschi , Marko Vukolic