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This paper considers the balanced hypergraph partitioning problem, which asks for partitioning the vertices into $k$ disjoint blocks of bounded size while minimizing an objective function over the hyperedges. Here, we consider the most…

数据结构与算法 · 计算机科学 2021-06-17 Sebastian Schlag , Tobias Heuer , Lars Gottesbüren , Yaroslav Akhremtsev , Christian Schulz , Peter Sanders

Hypergraph partitioning is an important preprocessing step for optimizing data placement and minimizing communication volumes in high-performance computing applications. To cope with ever growing problem sizes, it has become increasingly…

分布式、并行与集群计算 · 计算机科学 2020-12-15 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

We present a refinement framework for multilevel hypergraph partitioning that uses max-flow computations on pairs of blocks to improve the solution quality of a $k$-way partition. The framework generalizes the flow-based improvement…

数据结构与算法 · 计算机科学 2018-02-15 Tobias Heuer , Peter Sanders , Sebastian Schlag

We develop a multilevel algorithm for hypergraph partitioning that contracts the vertices one at a time. Using several caching and lazy-evaluation techniques during coarsening and refinement, we reduce the running time by up to two-orders…

数据结构与算法 · 计算机科学 2015-11-11 Sebastian Schlag , Vitali Henne , Tobias Heuer , Henning Meyerhenke , Peter Sanders , Christian Schulz

Balanced hypergraph partitioning is an NP-hard problem with many applications, e.g., optimizing communication in distributed data placement problems. The goal is to place all nodes across $k$ different blocks of bounded size, such that…

分布式、并行与集群计算 · 计算机科学 2023-04-03 Lars Gottesbüren , Tobias Heuer , Nikolai Maas , Peter Sanders , Sebastian Schlag

We present a shared-memory parallelization of flow-based refinement, which is considered the most powerful iterative improvement technique for hypergraph partitioning at the moment. Flow-based refinement works on bipartitions, so current…

数据结构与算法 · 计算机科学 2022-01-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders

We describe an approach to parallel graph partitioning that scales to hundreds of processors and produces a high solution quality. For example, for many instances from Walshaw's benchmark collection we improve the best known partitioning.…

分布式、并行与集群计算 · 计算机科学 2010-04-08 Manuel Holtgrewe , Peter Sanders , Christian Schulz

We present a shared-memory algorithm to compute high-quality solutions to the balanced $k$-way hypergraph partitioning problem. This problem asks for a partition of the vertex set into $k$ disjoint blocks of bounded size that minimizes the…

数据结构与算法 · 计算机科学 2021-04-19 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Sebastian Schlag

Balanced hypergraph partitioning is a classical NP-hard optimization problem with applications in various domains such as VLSI design, simulating quantum circuits, optimizing data placement in distributed databases or minimizing…

数据结构与算法 · 计算机科学 2021-12-24 Lars Gottesbüren , Michael Hamann

Distributed systems that manage and process graph-structured data internally solve a graph partitioning problem to minimize their communication overhead and query run-time. Besides computational complexity -- optimal graph partitioning is…

分布式、并行与集群计算 · 计算机科学 2021-03-24 Ruben Mayer , Hans-Arno Jacobsen

Hypergraph partitioning has a wide range of important applications such as VLSI design or scientific computing. With focus on solution quality, we develop the first multilevel memetic algorithm to tackle the problem. Key components of our…

数据结构与算法 · 计算机科学 2018-02-06 Robin Andre , Sebastian Schlag , Christian Schulz

Computing high-quality graph partitions is a challenging problem with numerous applications. In this paper, we present a novel meta-heuristic for the balanced graph partitioning problem. Our approach is based on integer linear programs that…

数据结构与算法 · 计算机科学 2018-02-21 Alexandra Henzinger , Alexander Noe , Christian Schulz

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

数据结构与算法 · 计算机科学 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Processing massive application graphs on distributed memory systems requires to map the graphs onto the system's processing elements (PEs). This task becomes all the more important when PEs have non-uniform communication costs or the input…

分布式、并行与集群计算 · 计算机科学 2021-07-07 Maria Predari , Charilaos Tzovas , Christian Schulz , Henning Meyerhenke

The balanced hypergraph partitioning problem is to partition a hypergraph into $k$ disjoint blocks of bounded size such that the sum of the number of blocks connected by each hyperedge is minimized. We present an improvement to the…

数据结构与算法 · 计算机科学 2020-03-30 Lars Gottesbüren , Michael Hamann , Sebastian Schlag , Dorothea Wagner

Building high-quality knowledge graphs (KGs) from diverse sources requires combining methods for information extraction, data transformation, ontology mapping, entity matching, and data fusion. Numerous methods and tools exist for each of…

人工智能 · 计算机科学 2025-11-25 Marvin Hofer , Erhard Rahm

HEALPix -- the Hierarchical Equal Area iso-Latitude Pixelization -- is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific applications executable…

天体物理学 · 物理学 2011-05-05 K. M. Gorski , E. Hivon , A. J. Banday , B. D. Wandelt , F. K. Hansen , M. Reinecke , M. Bartelman

While significant progress has been made on the hardware side of quantum computing, support for high-level quantum programming abstractions remains underdeveloped compared to classical programming languages. In this article, we introduce…

The classification of file fragments of various file formats is an essential task in various applications such as firewalls, intrusion detection systems, anti-viruses, web content filtering, and digital forensics. However, the community…

计算机视觉与模式识别 · 计算机科学 2020-07-23 Mehdi Teimouri , Zahra Seyedghorban , Fatemeh Amirjani

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

机器学习 · 计算机科学 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini
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