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We develop a novel parallel decomposition strategy for unweighted, undirected graphs, based on growing disjoint connected clusters from batches of centers progressively selected from yet uncovered nodes. With respect to similar previous…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-09 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

Recently, Czumaj et.al. (arXiv 2017) presented a parallel (almost) $2$-approximation algorithm for the maximum matching problem in only $O({(\log\log{n})^2})$ rounds of the massive parallel computation (MPC) framework, when the memory per…

Data Structures and Algorithms · Computer Science 2017-09-15 Sepehr Assadi

Massively parallel hardware (GPUs) and long sequence data have made parallel algorithms essential for machine learning at scale. Yet dynamical systems, like recurrent neural networks and Markov chain Monte Carlo, were thought to suffer from…

Numerical Analysis · Mathematics 2026-03-18 Xavier Gonzalez

The approximate minimum degree algorithm is widely used before numerical factorization to reduce fill-in for sparse matrices. While considerable attention has been given to the numerical factorization process, less focus has been placed on…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yen-Hsiang Chang , Aydın Buluç , James Demmel

This paper proposes a control algorithm for stable implementation of asynchronous parallel quadratic programming (PQP) through dual decomposition technique. In general, distributed and parallel optimization requires synchronization of data…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Kooktae Lee

Mini-batch optimization has proven to be a powerful paradigm for large-scale learning. However, the state of the art parallel mini-batch algorithms assume synchronous operation or cyclic update orders. When worker nodes are heterogeneous…

Optimization and Control · Mathematics 2015-05-20 Hamid Reza Feyzmahdavian , Arda Aytekin , Mikael Johansson

In this paper, we investigate the parallelization of $k$-core decomposition, a method used in graph analysis to identify cohesive substructures and assess node centrality. Although efficient sequential algorithms exist for this task, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-02 Davide Rucci , Sebastian Parfeniuc , Matteo Mordacchini , Emanuele Carlini , Alfredo Cuzzocrea , Patrizio Dazzi

Real-time systems increasingly use multicore processors in order to satisfy thermal, power, and computational requirements. To exploit the architectural parallelism offered by the multicore processors, parallel task models, scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-28 Niklas Ueter , Mario Günzel , Jian-Jia Chen

We present a new parallel code for computing the dynamical evolution of collisional N-body systems with up to N~10^7 particles. Our code is based on the the Henon Monte Carlo method for solving the Fokker-Planck equation, and makes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Bharath Pattabiraman , Stefan Umbreit , Wei-Keng Liao , Alok Choudhary , Vassiliki Kalogera , Gokhan Memik , Frederic A. Rasio

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

Significant research effort has been devoted to improving the performance of join processing in the massively parallel computation model, where the goal is to evaluate a query with the minimum possible data transfer between machines.…

Databases · Computer Science 2026-03-12 Simon Frisk , Austen Fan , Paraschos Koutris

Parallelization techniques have become ubiquitous for accelerating inference and training of deep neural networks. Despite this, several operations are still performed in a sequential manner. For instance, the forward and backward passes…

Machine Learning · Computer Science 2023-10-30 Federico Danieli , Miguel Sarabia , Xavier Suau , Pau Rodríguez , Luca Zappella

The idea of dynamic programming (DP), proposed by Bellman in the 1950s, is one of the most important algorithmic techniques. However, in parallel, many fundamental and sequentially simple problems become more challenging, and open to a…

Data Structures and Algorithms · Computer Science 2024-05-24 Xiangyun Ding , Yan Gu , Yihan Sun

Dual decomposition is widely utilized in distributed optimization of multi-agent systems. In practice, the dual decomposition algorithm is desired to admit an asynchronous implementation due to imperfect communication, such as time delay…

Optimization and Control · Mathematics 2021-03-05 Yifan Su , Zhaojian Wang , Ming Cao , Mengshuo Jia , Feng Liu

The dynamic set cover problem has been subject to growing research attention in recent years. In this problem, we are given as input a dynamic universe of at most $n$ elements and a fixed collection of $m$ sets, where each element appears…

Data Structures and Algorithms · Computer Science 2024-07-10 Shay Solomon , Amitai Uzrad , Tianyi Zhang

We present a parallel algorithm for the $(1-\epsilon)$-approximate maximum flow problem in capacitated, undirected graphs with $n$ vertices and $m$ edges, achieving $O(\epsilon^{-3}\text{polylog} n)$ depth and $O(m \epsilon^{-3}…

Data Structures and Algorithms · Computer Science 2024-02-26 Arpit Agarwal , Sanjeev Khanna , Huan Li , Prathamesh Patil , Chen Wang , Nathan White , Peilin Zhong

We present deterministic algorithms for maintaining a $(3/2 + \epsilon)$ and $(2 + \epsilon)$-approximate maximum matching in a fully dynamic graph with worst-case update times $\hat{O}(\sqrt{n})$ and $\tilde{O}(1)$ respectively. The…

Data Structures and Algorithms · Computer Science 2021-11-22 Peter Kiss

We present an efficient parallel derandomization method for randomized algorithms that rely on concentrations such as the Chernoff bound. This settles a classic problem in parallel derandomization, which dates back to the 1980s. Consider…

Data Structures and Algorithms · Computer Science 2023-11-27 Mohsen Ghaffari , Christoph Grunau

In the dynamic approximate maximum bipartite matching problem we are given bipartite graph $G$ undergoing updates and our goal is to maintain a matching of $G$ which is large compared the maximum matching size $\mu(G)$. We define a dynamic…

Data Structures and Algorithms · Computer Science 2023-07-13 Joakim Blikstad , Peter Kiss

In this paper, we give a number of new exact algorithms and heuristics to compute linear boolean decompositions, and experimentally evaluate these algorithms. The experimental evaluation shows that significant improvements can be made with…

Computational Complexity · Computer Science 2015-09-28 Chiel B. Ten Brinke , Frank J. P. van Houten , Hans L. Bodlaender