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Current algorithms for large-scale industrial optimization problems typically face a trade-off: they either require exponential time to reach optimal solutions, or employ problem-specific heuristics. To overcome these limitations, we…

Quantum Physics · Physics 2025-10-16 Matteo Vandelli , Francesco Ferrari , Daniele Dragoni

The current landscape of balanced graph partitioning is divided into high-quality but expensive multilevel algorithms and cheaper approaches with linear running time, such as single-level algorithms and streaming algorithms. We demonstrate…

Data Structures and Algorithms · Computer Science 2025-04-25 Lars Gottesbüren , Nikolai Maas , Dominik Rosch , Peter Sanders , Daniel Seemaier

Standard Gaussian Process (GP) regression, a powerful machine learning tool, is computationally expensive when it is applied to large datasets, and potentially inaccurate when data points are sparsely distributed in a high-dimensional…

Machine Learning · Computer Science 2016-03-08 Z. Zhang , K. Duraisamy , N. A. Gumerov

Even distribution of irregular workload to processing units is crucial for efficient parallelization in many applications. In this work, we are concerned with a spatial partitioning called rectilinear partitioning (also known as generalized…

Data Structures and Algorithms · Computer Science 2020-09-17 Abdurrahman Yaşar , Muhammed Fatih Balin , Xiaojing An , Kaan Sancak , Ümit V. Çatalyürek

Graphs are widely used to model execution dependencies in applications. In particular, the NP-complete problem of partitioning a graph under constraints receives enormous attention by researchers because of its applicability in…

Data Structures and Algorithms · Computer Science 2017-04-04 Orlando Moreira , Merten Popp , Christian Schulz

We present a computational algorithm for computing short range forces between particles. The algorithm has two distinguishing features. First, it is optimized for multi-processor computers, and will use as many processors as are available.…

Astrophysics · Physics 2008-02-03 Robert C. Ferrell , Edmund Bertschinger

We present shared-memory parallel methods for Maximal Clique Enumeration (MCE) from a graph. MCE is a fundamental and well-studied graph analytics task, and is a widely used primitive for identifying dense structures in a graph. Due to its…

Data Structures and Algorithms · Computer Science 2020-01-30 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

We propose, implement, and experimentally evaluate a runtime middleware to support high-throughput execution on hybrid cluster machines of large-scale analysis applications. A hybrid cluster machine consists of computation nodes which have…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-18 George Teodoro , Tony Pan , Tahsin M. Kurc , Jun Kong , Lee A. D. Cooper , Joel H. Saltz

Hypergraph partitioning is an important problem in machine learning, computer vision and network analytics. A widely used method for hypergraph partitioning relies on minimizing a normalized sum of the costs of partitioning hyperedges…

Machine Learning · Computer Science 2017-11-06 Pan Li , Olgica Milenkovic

The ability to express a program as a hierarchical composition of parts is an essential tool in managing the complexity of software and a key abstraction this provides is to separate the representation of data from the computation. Many…

Programming Languages · Computer Science 2012-10-04 James Hanlon , Simon J. Hollis , David May

High-performance graphical processing units (GPU) are used for the repeated parallelised propagation of non-linear partial differential equations on large spatio-temporal grids. The main challenge results as a combination of the requirement…

In the recent years, the scale of graph datasets has increased to such a degree that a single machine is not capable of efficiently processing large graphs. Thereby, efficient graph partitioning is necessary for those large graph…

Data Structures and Algorithms · Computer Science 2019-02-06 Md Anwarul kaium Patwary , Saurabh Garg , Byeong Kang

This paper presents techniques for theoretically and practically efficient and scalable Schr\"odinger-style quantum circuit simulation. Our approach partitions a quantum circuit into a hierarchy of subcircuits and simulates the subcircuits…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-06 Mingkuan Xu , Shiyi Cao , Xupeng Miao , Umut A. Acar , Zhihao Jia

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…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

Partitioning sparse matrices and graphs is a common and important problem in many scientific and graph analytics applications. In this work, we are concerned with a spatial partitioning called rectilinear partitioning (also known as…

Data Structures and Algorithms · Computer Science 2020-01-01 Abdurrahman Yaşar , Ümit V. Çatalyürek

Parallelization is a necessity for large-scale simulations due to the amount of data processed. In this article we investigate different load balancing methods using Vlasiator, a global magnetospheric simulation as our case study. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-28 Leo Kotipalo , Markus Battarbee , Yann Pfau-Kempf , Vertti Tarvus , Minna Palmroth

Finding coarse representations of large graphs is an important computational problem in the fields of scientific computing, large scale graph partitioning, and the reduction of geometric meshes. Of particular interest in all of these fields…

Discrete Mathematics · Computer Science 2022-04-26 Christopher Brissette , Andy Huang , George Slota

In this paper, we introduce a technique to enhance the computational efficiency of solution algorithms for high-dimensional discrete simulation-based optimization problems. The technique is based on innovative adaptive partitioning…

Optimization and Control · Mathematics 2024-12-04 Jing Lu , Tianli Zhou , Carolina Osorio

A directed acyclic hypergraph is a generalized concept of a directed acyclic graph, where each hyperedge can contain an arbitrary number of tails and heads. Directed hypergraphs can be used to model data flow and execution dependencies in…

Data Structures and Algorithms · Computer Science 2020-10-16 Merten Popp , Sebastian Schlag , Christian Schulz , Daniel Seemaier

In order to satisfy timing constraints, modern real-time applications require massively parallel accelerators such as General Purpose Graphic Processing Units (GPGPUs). Generation after generation, the number of computing clusters made…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-24 Houssam-Eddine Zahaf , Ignacio Sanudo Olmedo , Jayati Singh , Nicola Capodieci , Sebastien Faucou