Streaming min-max hypergraph partitioning

D. Alistarh, J. Iglesias, M. Vojnović, in:, Neural Information Processing Systems, 2015, pp. 1900–1908.

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Abstract
In many applications, the data is of rich structure that can be represented by a hypergraph, where the data items are represented by vertices and the associations among items are represented by hyperedges. Equivalently, we are given an input bipartite graph with two types of vertices: items, and associations (which we refer to as topics). We consider the problem of partitioning the set of items into a given number of components such that the maximum number of topics covered by a component is minimized. This is a clustering problem with various applications, e.g. partitioning of a set of information objects such as documents, images, and videos, and load balancing in the context of modern computation platforms.Inthis paper, we focus on the streaming computation model for this problem, in which items arrive online one at a time and each item must be assigned irrevocably to a component at its arrival time. Motivated by scalability requirements, we focus on the class of streaming computation algorithms with memory limited to be at most linear in the number of components. We show that a greedy assignment strategy is able to recover a hidden co-clustering of items under a natural set of recovery conditions. We also report results of an extensive empirical evaluation, which demonstrate that this greedy strategy yields superior performance when compared with alternative approaches.
Publishing Year
Date Published
2015-01-01
Volume
2015-January
Page
1900 - 1908
Conference
NIPS: Neural Information Processing Systems
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Alistarh D, Iglesias J, Vojnović M. Streaming min-max hypergraph partitioning. In: Vol 2015-January. Neural Information Processing Systems; 2015:1900-1908.
Alistarh, D., Iglesias, J., & Vojnović, M. (2015). Streaming min-max hypergraph partitioning (Vol. 2015–January, pp. 1900–1908). Presented at the NIPS: Neural Information Processing Systems, Neural Information Processing Systems.
Alistarh, Dan, Jennifer Iglesias, and Milan Vojnović. “Streaming Min-Max Hypergraph Partitioning,” 2015–January:1900–1908. Neural Information Processing Systems, 2015.
D. Alistarh, J. Iglesias, and M. Vojnović, “Streaming min-max hypergraph partitioning,” presented at the NIPS: Neural Information Processing Systems, 2015, vol. 2015–January, pp. 1900–1908.
Alistarh D, Iglesias J, Vojnović M. 2015. Streaming min-max hypergraph partitioning. NIPS: Neural Information Processing Systems vol. 2015–January. 1900–1908.
Alistarh, Dan, et al. Streaming Min-Max Hypergraph Partitioning. Vol. 2015–January, Neural Information Processing Systems, 2015, pp. 1900–08.

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