More recent advances in (hyper) graph partitioning

Ü Çatalyürek, K Devine, M Faraj, L Gottesbüren… - ACM Computing …, 2023 - dl.acm.org
In recent years, significant advances have been made in the design and evaluation of
balanced (hyper) graph partitioning algorithms. We survey trends of the past decade in …

High-quality hypergraph partitioning

S Schlag, T Heuer, L Gottesbüren… - ACM Journal of …, 2023 - dl.acm.org
Hypergraphs are a generalization of graphs where edges (aka nets) are allowed to connect
more than two vertices. They have a similarly wide range of applications as graphs. This …

Probabilistic visual learning for object detection

B Moghaddam, A Pentland - Proceedings of IEEE international …, 1995 - ieeexplore.ieee.org
We present an unsupervised technique for visual learning which is based on density
estimation in high-dimensional spaces using an eigenspace decomposition. Two types of …

Scalable sparse tensor decompositions in distributed memory systems

O Kaya, B Uçar - Proceedings of the International Conference for High …, 2015 - dl.acm.org
We investigate an efficient parallelization of the most common iterative sparse tensor
decomposition algorithms on distributed memory systems. A key operation in each iteration …

On two-dimensional sparse matrix partitioning: Models, methods, and a recipe

ÜV Çatalyürek, C Aykanat, B Uçar - SIAM Journal on Scientific Computing, 2010 - SIAM
We consider two-dimensional partitioning of general sparse matrices for parallel sparse
matrix-vector multiply operation. We present three hypergraph-partitioning-based methods …

Engineering a direct k-way Hypergraph Partitioning Algorithm

Y Akhremtsev, T Heuer, P Sanders, S Schlag - 2017 Proceedings of the …, 2017 - SIAM
We develop a fast and high quality multilevel algorithm that directly partitions hypergraphs
into k balanced blocks–without the detour over recursive bipartitioning. In particular, our …

Multi-level direct k-way hypergraph partitioning with multiple constraints and fixed vertices

C Aykanat, BB Cambazoglu, B Uçar - Journal of Parallel and Distributed …, 2008 - Elsevier
K-way hypergraph partitioning has an ever-growing use in parallelization of scientific
computing applications. We claim that hypergraph partitioning with multiple constraints and …

PuLP: Scalable multi-objective multi-constraint partitioning for small-world networks

GM Slota, K Madduri… - 2014 IEEE International …, 2014 - ieeexplore.ieee.org
We present PuLP, a parallel and memory-efficient graph partitioning method specifically
designed to partition low-diameter networks with skewed degree distributions. Graph …

Hypergraph partitioning for multiple communication cost metrics: Model and methods

M Deveci, K Kaya, B Uçar, ÜV Çatalyürek - Journal of Parallel and …, 2015 - Elsevier
We investigate hypergraph partitioning-based methods for efficient parallelization of
communicating tasks. A good partitioning method should divide the load among the …

Network flow-based refinement for multilevel hypergraph partitioning

T Heuer, P Sanders, S Schlag - Journal of Experimental Algorithmics …, 2019 - dl.acm.org
We present a refinement framework for multilevel hypergraph partitioning that uses max-flow
computations on pairs of blocks to improve the solution quality of ak-way partition. The …