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The \emph{Steiner tree} problem is one of the fundamental and classical problems in combinatorial optimization. In this paper, we study this problem in the $\mathcal{CONGESTED}$ $\mathcal{CLIQUE}$ model of distributed computing and present…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-31 Parikshit Saikia , Sushanta Karmakar

A \emph{tree cut-sparsifier} $T$ of quality $\alpha$ of a graph $G$ is a single tree that preserves the capacities of all cuts in the graph up to a factor of $\alpha$. A \emph{tree flow-sparsifier} $T$ of quality $\alpha$ guarantees that…

Data Structures and Algorithms · Computer Science 2026-02-17 Daniel Agassy , Dani Dorfman , Haim Kaplan

We study robust and efficient distributed algorithms for searching, storing, and maintaining data in dynamic Peer-to-Peer (P2P) networks. P2P networks are highly dynamic networks that experience heavy node churn (i.e., nodes join and leave…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-07 John Augustine , Anisur Rahaman Molla , Ehab Morsy , Gopal Pandurangan , Peter Robinson , Eli Upfal

Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

Machine Learning · Computer Science 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

Deep neural networks (DNNs) play an increasingly important role in various computer systems. In order to create these networks, engineers typically specify a desired topology, and then use an automated training algorithm to select the…

Machine Learning · Computer Science 2021-08-13 Ori Lahav , Guy Katz

In this paper, we consider the minimum spanning tree problem (for short, MSTP) on an arbitrary set of $n$ points of $d$-dimensional space in $l_1$-norm. For this problem, for each fixed $d\geq 2$, there is a known algorithm of the…

Discrete Mathematics · Computer Science 2024-12-12 K. V. Kaymakov , D. S. Malyshev

A distributed storage system (DSS) needs to be efficiently accessible and repairable. Recently, considerable effort has been made towards the latter, while the former is usually not considered, since a trivial solution exists in the form of…

Information Theory · Computer Science 2020-01-16 Lukas Holzbaur , Stanislav Kruglik , Alexey Frolov , Antonia Wachter-Zeh

As there is a growing interest in utilizing data across multiple resources to build better machine learning models, many vertically federated learning algorithms have been proposed to preserve the data privacy of the participating…

Machine Learning · Computer Science 2022-01-27 Houpu Yao , Jiazhou Wang , Peng Dai , Liefeng Bo , Yanqing Chen

Solving optimal power flow (OPF) problems for large distribution networks incurs high computational complexity. We consider a large multi-phase distribution network of tree topology with a deep penetration of active devices. We divide the…

Optimization and Control · Mathematics 2020-09-10 Xinyang Zhou , Yue Chen , Zhiyuan Liu , Changhong Zhao , Lijun Chen

Computing bounded depth decompositions is a bottleneck in many applications of the treedepth parameter. The fastest known algorithm, which is due to Reidl, Rossmanith, S\'{a}nchez Villaamil, and Sikdar [ICALP 2014], runs in…

Data Structures and Algorithms · Computer Science 2025-02-25 Lars Jaffke , Paloma T. de Lima , Wojciech Nadara , Emmanuel Sam

Recent advancements in large language models (LLMs) have spurred growing interest in automatic theorem proving using Lean4, where effective tree search methods are crucial for navigating the underlying large proof search spaces. While the…

Artificial Intelligence · Computer Science 2025-10-10 Ran Xin , Chenguang Xi , Jie Yang , Feng Chen , Hang Wu , Xia Xiao , Yifan Sun , Shen Zheng , Kai Shen

Vertical Federated Learning (FL) is a new paradigm that enables users with non-overlapping attributes of the same data samples to jointly train a model without directly sharing the raw data. Nevertheless, recent works show that it's still…

Machine Learning · Computer Science 2022-10-05 Xiaochen Li , Yuke Hu , Weiran Liu , Hanwen Feng , Li Peng , Yuan Hong , Kui Ren , Zhan Qin

The problem of stabilizing an unstable plant over a noisy communication link is an increasingly important one that arises in applications of networked control systems. Although the work of Schulman and Sahai over the past two decades, and…

Information Theory · Computer Science 2012-02-28 Ravi Teja Sukhavasi , Babak Hassibi

The problem of electing a unique leader is central to all distributed systems, including programmable matter systems where particles have constant size memory. In this paper, we present a silent self-stabilising, deterministic, stationary,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-08 Jérémie Chalopin , Shantanu Das , Maria Kokkou

Dealing with memory and time constraints are current challenges when learning from data streams with a massive amount of data. Many algorithms have been proposed to handle these difficulties, among them, the Very Fast Decision Tree (VFDT)…

Formal verification of neural networks is essential before their deployment in safety-critical applications. However, existing methods for formally verifying neural networks are not yet scalable enough to handle practical problems under…

Machine Learning · Computer Science 2025-07-08 Tobias Ladner , Matthias Althoff

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

Minimum Spanning Tree (MST) and Breadth-First Search (BFS) tree constructions are classical problems in distributed computing, traditionally studied in the message-passing model, where static nodes communicate via messages. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-25 Prabhat Kumar Chand , Manish Kumar , Anisur Rahaman Molla

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

While a lot of research in distributed computing has covered solutions for self-stabilizing computing and topologies, there is far less work on self-stabilization for distributed data structures. Considering crashing peers in peer-to-peer…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Till Knollmann , Christian Scheideler
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