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Collaborative Filtering Using Principal Component Analysis and Fuzzy Clustering

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Web Intelligence: Research and Development (WI 2001)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2198))

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Abstract

Automated collaborative filtering is a popular technique for reducing information overload. In this paper, we propose a new approach for the collaborative filtering using local principal components. The new method is based on a simultaneous approach to principal component analysis and fuzzy clustering with an incomplete data set including missing values. In the simultaneous approach, we extract local principal components by using lower rank approximation of the data matrix. The missing values are predicted using the approximation of the data matrix. In numerical experiment, we apply the proposed technique to the recommendation system of background designs of stationery for word processor.

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References

  1. Resnick, P., Iacovou, N., Suchak, M., Bergstrom, P., Riedl, J.: Grouplens: An Open Architecture for Collaborative Filtering of Netnews. Proc. of ACM Conference on Computer-Supported Cooperative Work (1994) 175–186

    Google Scholar 

  2. Konstan, J. A., Miller, B. N., Maltz, D., Herlocker, J. L., Gardon, L. R., Riedl, J.: Grouplens: Applying Collaborative Filtering to Usenet News. Communications of the ACM, Vol.40, No.3 (1997) 77–87

    Article  Google Scholar 

  3. Shardanand, U., Maes, P.: Social Information Filtering: Algorithms for Automating “Word of Mouth”. Proc. of ACM Conference on Human Factors in Computing Systems (1995) 210–217

    Google Scholar 

  4. Wiberg, T.: Computation of Principal Components when Data are Missing. Proc. of 2nd Symposium on computational Statistics (1976) 229–236

    Google Scholar 

  5. Shibayama, T.: A PCA-Like Method for Multivariate Data with Missing Values. Japanese Journal of Educational Psychology, Vol.40 (1992) 257–265 (in Japanese)

    Google Scholar 

  6. Shum, H., Ikeuchi, K., Reddy, R.: Principal Component Analysis with Missing Data and its Application to Polyhedral Object Modeling. IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 17, No. 9 (1995) 854–867

    Article  Google Scholar 

  7. Yamakawa, A., Honda, K., Ichihashi, H., Miyoshi, T.: Simultaneous Approach to Fuzzy Cluster, Principal Component and Multiple Regression Analysis. Proc. of International Conference on Neural Networks (1999)

    Google Scholar 

  8. Oh, C.-H., Komatsu, H., Honda, K., Ichihashi, H.: Fuzzy Clustering Algorithm Extracting Principal Components Independent of Subsidiary Variables. Proc. of International Conference on Neural Networks (2000)

    Google Scholar 

  9. Bezdek, J. C., Coray, C., Gunderson, R., Watson, J.: Detection and Characterization of Cluster Substructure 2. Fuzzy c-Varieties and Convex Combinations Thereof. SIAM J. Appl. Math., Vol.40, No.2 (1981) 358–372

    MATH  MathSciNet  Google Scholar 

  10. Bezdek, J. C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Plenum Press, New York (1981)

    MATH  Google Scholar 

  11. Miyamoto, S., Mukaidono, M.:Fuzzy c-Means as a Regularization and Maximum Entropy Approach. Proc. of 7th International Fuzzy Systems Association World Congress, Vol.2 (1997) 86–92

    Google Scholar 

  12. Miyamoto, S., Takata, O., Umayahara, K.: Handling Missing Values in Fuzzy c-Means. Proc. of 3rd Asian Fuzzy Systems Symposium (1998) 139–142

    Google Scholar 

  13. Herlocker, J. L., Konstan, J. A., Borchers, A. Riedl, J.: An Algorithmic Framework for Performing Collaborative Filtering. Proc. of Conference on Research and Development in Information Retrieval (1999)

    Google Scholar 

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© 2001 Springer-Verlag Berlin Heidelberg

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Honda, K., Sugiura, N., Ichihashi, H., Araki, S. (2001). Collaborative Filtering Using Principal Component Analysis and Fuzzy Clustering. In: Zhong, N., Yao, Y., Liu, J., Ohsuga, S. (eds) Web Intelligence: Research and Development. WI 2001. Lecture Notes in Computer Science(), vol 2198. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45490-X_50

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  • DOI: https://doi.org/10.1007/3-540-45490-X_50

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42730-8

  • Online ISBN: 978-3-540-45490-8

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