Minimum average cost clustering

Kiyohito Nagano; Yoshinobu Kawahara; Satoru Iwata

Minimum average cost clustering

Kiyohito Nagano, Yoshinobu Kawahara, Satoru Iwata

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

A number of objective functions in clustering problems can be described with submodular functions. In this paper, we introduce the minimum average cost criterion, and show that the theory of intersecting submodular functions can be used for clustering with submodular objective functions. The proposed algorithm does not require the number of clusters in advance, and it will be determined by the property of a given set of data points. The minimum average cost clustering problem is parameterized with a real variable, and surprisingly, we show that all information about optimal clusterings for all parameters can be computed in polynomial time in total. Additionally, we evaluate the performance of the proposed algorithm through computational experiments.

Original language	English
Title of host publication	Advances in Neural Information Processing Systems 23
Subtitle of host publication	24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010
Publication status	Published - 2010
Externally published	Yes
Event	24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010 - Vancouver, BC, Canada Duration: Dec 6 2010 → Dec 9 2010

Publication series

Name	Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010

Conference

Conference	24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010
Country	Canada
City	Vancouver, BC
Period	12/6/10 → 12/9/10

All Science Journal Classification (ASJC) codes

Information Systems

Access to Document

Fingerprint Dive into the research topics of 'Minimum average cost clustering'. Together they form a unique fingerprint.

Cite this

Minimum average cost clustering. / Nagano, Kiyohito; Kawahara, Yoshinobu; Iwata, Satoru.

Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010. 2010. (Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Nagano, K, Kawahara, Y & Iwata, S 2010, Minimum average cost clustering. in Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010. Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010, 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010, Vancouver, BC, Canada, 12/6/10.

@inproceedings{652bf1f4aade4a3480ace32fd6a459c3,

title = "Minimum average cost clustering",

abstract = "A number of objective functions in clustering problems can be described with submodular functions. In this paper, we introduce the minimum average cost criterion, and show that the theory of intersecting submodular functions can be used for clustering with submodular objective functions. The proposed algorithm does not require the number of clusters in advance, and it will be determined by the property of a given set of data points. The minimum average cost clustering problem is parameterized with a real variable, and surprisingly, we show that all information about optimal clusterings for all parameters can be computed in polynomial time in total. Additionally, we evaluate the performance of the proposed algorithm through computational experiments.",

author = "Kiyohito Nagano and Yoshinobu Kawahara and Satoru Iwata",

year = "2010",

language = "English",

isbn = "9781617823800",

series = "Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010",

booktitle = "Advances in Neural Information Processing Systems 23",

note = "24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010 ; Conference date: 06-12-2010 Through 09-12-2010",

}

TY - GEN

T1 - Minimum average cost clustering

AU - Nagano, Kiyohito

AU - Kawahara, Yoshinobu

AU - Iwata, Satoru

PY - 2010

Y1 - 2010

N2 - A number of objective functions in clustering problems can be described with submodular functions. In this paper, we introduce the minimum average cost criterion, and show that the theory of intersecting submodular functions can be used for clustering with submodular objective functions. The proposed algorithm does not require the number of clusters in advance, and it will be determined by the property of a given set of data points. The minimum average cost clustering problem is parameterized with a real variable, and surprisingly, we show that all information about optimal clusterings for all parameters can be computed in polynomial time in total. Additionally, we evaluate the performance of the proposed algorithm through computational experiments.

AB - A number of objective functions in clustering problems can be described with submodular functions. In this paper, we introduce the minimum average cost criterion, and show that the theory of intersecting submodular functions can be used for clustering with submodular objective functions. The proposed algorithm does not require the number of clusters in advance, and it will be determined by the property of a given set of data points. The minimum average cost clustering problem is parameterized with a real variable, and surprisingly, we show that all information about optimal clusterings for all parameters can be computed in polynomial time in total. Additionally, we evaluate the performance of the proposed algorithm through computational experiments.

UR - http://www.scopus.com/inward/record.url?scp=84860627339&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84860627339&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84860627339

SN - 9781617823800

T3 - Advances in Neural Information Processing Systems 23: 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010

BT - Advances in Neural Information Processing Systems 23

T2 - 24th Annual Conference on Neural Information Processing Systems 2010, NIPS 2010

Y2 - 6 December 2010 through 9 December 2010

ER -