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Parallel search algorithms harness the multithreading capability of modern processors to achieve faster planning. One such algorithm is PA*SE (Parallel A* for Slow Expansions), which parallelizes state expansions to achieve faster planning…

Robotics · Computer Science 2023-01-11 Shohin Mukherjee , Sandip Aine , Maxim Likhachev

The problem of scheduling unrelated machines has been studied since the inception of algorithmic mechanism design \cite{NR99}. It is a resource allocation problem that entails assigning $m$ tasks to $n$ machines for execution. Machines are…

Computer Science and Game Theory · Computer Science 2022-04-21 Yansong Gao , Jie Zhang

Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communication volume) can be decreased at the cost of increasing…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Grey Ballard , James Demmel , Laura Grigori , Mathias Jacquelin , Nicholas Knight

We study the problem of edge partitioning, where the goal is to partition the edge set of a graph into several parts. The replication factor of a vertex $v$ is the number of parts that contain edges incident to $v$. The goal is to minimize…

Discrete Mathematics · Computer Science 2026-05-08 Alexander Yakunin , Andrey Kupavskii , Alexander Sushin , Stanislav Moiseev

We propose an algorithm for generating explicit solutions of multiparametric mixed-integer convex programs to within a given suboptimality tolerance. The algorithm is applicable to a very general class of optimization problems, but is most…

Optimization and Control · Mathematics 2019-06-12 Danylo Malyuta , Behcet Acikmese

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

The problem of online scheduling of multi-server jobs is considered, where there are a total of $K$ servers, and each job requires concurrent service from multiple servers for it to be processed. Each job on its arrival reveals its…

Data Structures and Algorithms · Computer Science 2024-07-02 Rahul Vaze

We consider the problem of computing a relational query $q$ on a large input database of size $n$, using a large number $p$ of servers. The computation is performed in rounds, and each server can receive only $O(n/p^{1-\varepsilon})$ bits…

Databases · Computer Science 2013-06-26 Paul Beame , Paraschos Koutris , Dan Suciu

There are two intertwined factors that affect performance of concurrent data structures: the ability of processes to access the data in parallel and the cost of synchronization. It has been observed that for a large class of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-10 Vitaly Aksenov , Petr Kuznetsov

The performance of worst-case optimal join algorithms depends on the order in which the join attributes are processed. Selecting good orders before query execution is hard, due to the large space of possible orders and unreliable execution…

Databases · Computer Science 2023-08-01 Junxiong Wang , Immanuel Trummer , Ahmet Kara , Dan Olteanu

In recent years the Cache-Oblivious model of external memory computation has provided an attractive theoretical basis for the analysis of algorithms on massive datasets. Much progress has been made in discovering algorithms that are…

Data Structures and Algorithms · Computer Science 2008-02-08 Benjamin Sach , Raphaël Clifford

The higher-order correlation clustering problem for a graph $G$ and costs associated with cliques of $G$ consists in finding a clustering of $G$ so as to minimize the sum of the costs of those cliques whose nodes all belong to the same…

Discrete Mathematics · Computer Science 2025-10-24 David Stein , Bjoern Andres , Silvia Di Gregorio

This paper presents the design and analysis of parallel approximation algorithms for facility-location problems, including $\NC$ and $\RNC$ algorithms for (metric) facility location, $k$-center, $k$-median, and $k$-means. These problems…

Data Structures and Algorithms · Computer Science 2010-06-11 Guy E. Blelloch , Kanat Tangwongsan

We present a massively parallel algorithm, with near-linear memory per machine, that computes a $(2+\varepsilon)$-approximation of minimum-weight vertex cover in $O(\log\log d)$ rounds, where $d$ is the average degree of the input graph.…

Data Structures and Algorithms · Computer Science 2020-05-22 Mohsen Ghaffari , Ce Jin , Daan Nilis

This paper examines scheduling problem denoted as $P|seq, ser|C_{max}$ in Graham's notation; in other words, scheduling of tasks on parallel identical machines ($P$) with sequence-dependent setups ($seq$) each performed by one of the…

Computer Science and Game Theory · Computer Science 2023-06-01 Vilém Heinz , Antonín Novák , Marek Vlk , Zdeněk Hanzálek

Concurrent data structures often require additional memory for handling synchronization issues in addition to memory for storing elements. Depending on the amount of this additional memory, implementations can be more or less…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Vitaly Aksenov , Nikita Koval , Petr Kuznetsov , Anton Paramonov

We consider the problem of selecting the best variable-value strategy for solving a given problem in constraint programming. We show that the recent Embarrassingly Parallel Search method (EPS) can be used for this purpose. EPS proposes to…

Artificial Intelligence · Computer Science 2016-04-25 Anthony Palmieri , Jean-Charles Régin , Pierre Schaus

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

We study the scalability of consensus-based distributed optimization algorithms by considering two questions: How many processors should we use for a given problem, and how often should they communicate when communication is not free?…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-06 Konstantinos I. Tsianos , Sean Lawlor , Michael G. Rabbat

This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on…

Databases · Computer Science 2014-02-04 Duo Zhang , Benjamin I. P. Rubinstein , Jim Gemmell
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