[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
10.1145/1143844.1143848acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicmlConference Proceedingsconference-collections
Article

Ranking on graph data

Published: 25 June 2006 Publication History

Abstract

In ranking, one is given examples of order relationships among objects, and the goal is to learn from these examples a real-valued ranking function that induces a ranking or ordering over the object space. We consider the problem of learning such a ranking function when the data is represented as a graph, in which vertices correspond to objects and edges encode similarities between objects. Building on recent developments in regularization theory for graphs and corresponding Laplacian-based methods for classification, we develop an algorithmic framework for learning ranking functions on graph data. We provide generalization guarantees for our algorithms via recent results based on the notion of algorithmic stability, and give experimental evidence of the potential benefits of our framework.

References

[1]
Agarwal, S., Graepel, T., Herbrich, R., Har-Peled, S., & Roth, D. (2005). Generalization bounds for the area under the ROC curve. Journal of Machine Learning Research, 393--425.]]
[2]
Agarwal, S., & Niyogi, P. (2005). Stability and generalization of bipartite ranking algorithms. Proceedings of the 18th Annual Conference on Learning Theory.]]
[3]
Altschul, S. F., Madden, T. L., Schaffer, A. A., Zhang, J., Zhang, Z., Miller, W., & Lipman, D. J. (1997). Gapped BLAST and PSI-BLAST: a new generation of protein database search programs. Nucleic Acids Research, 25, 3389--3402.]]
[4]
Belkin, M., Matveeva, I., & Niyogi, P. (2004). Regularization and semi-supervised learning on large graphs. Proceedings of the 17th Annual Conference on Learning Theory.]]
[5]
Belkin, M., & Niyogi, P. (2004). Semi-supervised learning on Riemannian manifolds. Machine Learning, 56, 209--239.]]
[6]
Bousquet, O., & Elisseeff, A. (2002). Stability and generalization. Journal of Machine Learning Research, 2, 499--526.]]
[7]
Boyd, S., & Vandenberghe, L. (2004). Convex optimization. Cambridge University Press.]]
[8]
Burges, C. J. C. (1998). A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery, 2, 121--167.]]
[9]
Chung, F. R. K. (1997). Spectral graph theory. American Mathematical Society.]]
[10]
Chung, F. R. K. (2005). Laplacians and the Cheeger inequality for directed graphs. Annals of Combinatorics, 9, 1--19.]]
[11]
Cohen, W. W., Schapire, R. E., & Singer, Y. (1999). Learning to order things. Journal of Artificial Intelligence Research, 10, 243--270.]]
[12]
Cortes, C., & Mohri, M. (2004). AUC optimization vs. error rate minimization. Advances in Neural Information Processing Systems 16.]]
[13]
Crammer, K., & Singer, Y. (2002). Pranking with ranking. Advances in Neural Information Processing Systems 14.]]
[14]
Freund, Y., Iyer, R., Schapire, R. E., & Singer, Y. (2003). An efficient boosting algorithm for combining preferences. Journal of Machine Learning Research, 4, 933--969.]]
[15]
Herbrich, R., Graepel, T., & Obermayer, K. (2000). Large margin rank boundaries for ordinal regression. Advances in Large Margin Classifiers, 115--132.]]
[16]
Joachims, T. (1999). Making large-scale SVM learning practical. Advances in Kernel Methods - Support Vector Learning.]]
[17]
Joachims, T. (2003). Transductive learning via spectral graph partitioning. Proceedings of the 20th International Conference on Machine Learning.]]
[18]
Murzin, A., Brenner, S. E., Hubbard, T., & Chothia, C. (1995). SCOP: A structural classification of proteins database for the investigation of sequences and structures. Journal of Molecular Biology, 247, 536--540.]]
[19]
Platt, J. (1999). Fast training of support vector machines using sequential minimal optimization. Advances in Kernel Methods - Support Vector Learning.]]
[20]
Roweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290, 2323--2326.]]
[21]
Sindhwani, V., Niyogi, P., & Belkin, M. (2005). Beyond the point cloud: from transductive to semi-supervised learning. Proceedings of the 22nd International Conference on Machine Learning.]]
[22]
Strang, G. (1988). Linear algebra and its applications. Brooks Cole. 3rd edition.]]
[23]
Tenenbaum, J., de Silva, V., & Langford, J. C. (2000). A global geometric framework for nonlinear dimensionality reduction. Science, 290, 2319--2323.]]
[24]
Vapnik, V. N. (1998). Statistical learning theory. Wiley]]
[25]
Weston, J., Eliseeff, A., Zhou, D., Leslie, C., & Noble, W. S. (2004). Protein ranking: from local to global structure in the protein similarity network. Proceedings of the National Academy of Science, 101, 6559--6563.]]
[26]
Zhou, D., Huang, J., & Schöölkopf, B. (2005). Learning from labeled and unlabeled data on a directed graph. Proceedings of the 22nd International Conference on Machine Learning.]]
[27]
Zhou, D., & Schöölkopf, B. (2004). A regularization framework for learning from graph data. ICML Workshop on Statistical Relational Learning.]]
[28]
Zhou, D., Weston, J., Gretton, A., Bousquet, O., & Schöölkopf, B. (2004). Ranking on data manifolds. Advances in Neural Information Processing Systems 16.]]

Cited By

View all
  • (2024)Dual contrastive graph-level clustering with multiple cluster perspectives alignmentProceedings of the Thirty-Third International Joint Conference on Artificial Intelligence10.24963/ijcai.2024/417(3770-3779)Online publication date: 3-Aug-2024
  • (2024)Ranking on user–item heterogeneous graph for Ecommerce next basket recommendationsKnowledge-Based Systems10.1016/j.knosys.2024.111863296:COnline publication date: 19-Jul-2024
  • (2023)Graph Influence NetworkIEEE Transactions on Cybernetics10.1109/TCYB.2022.316447453:10(6146-6159)Online publication date: Oct-2023
  • Show More Cited By

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Other conferences
ICML '06: Proceedings of the 23rd international conference on Machine learning
June 2006
1154 pages
ISBN:1595933832
DOI:10.1145/1143844
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 25 June 2006

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Article

Acceptance Rates

ICML '06 Paper Acceptance Rate 140 of 548 submissions, 26%;
Overall Acceptance Rate 140 of 548 submissions, 26%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)34
  • Downloads (Last 6 weeks)6
Reflects downloads up to 09 Jan 2025

Other Metrics

Citations

Cited By

View all

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media