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A Dynamic Linear Bias Incorporation Scheme for Nonnegative Latent Factor Analysis

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PRICAI 2023: Trends in Artificial Intelligence (PRICAI 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14325))

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Abstract

High-Dimensional and Incomplete (HDI) data is commonly encountered in big data-related applications like social network services systems, which are concerning limited interactions among numerous nodes. Knowledge discovery from HDI data is a vital issue in the domain of data science due to their embedded rich patterns like node behaviors, where the fundamental task is to perform HDI data representation learning. Nonnegative Latent Factor Analysis (NLFA) models have proven to possess the superiority to address this issue, where a Linear Bias Incorporation (LBI) scheme is effective in preventing the model from the training overshooting and fluctuation for good convergence. However, existing LBI schemes are all statistic ones where the linear biases are fixed, which significantly restricts the scalability of the resultant NLFA model and results in loss of representation learning ability to HDI data. Motivated by the above discoveries, this paper innovatively presents a Dynamic Linear Bias Incorporation (DLBI) scheme. It firstly extends the linear bias vectors into matrices, and then builds a binary weight matrix to switch from the linear biases’ active states to their inactive states. The weight matrix’s each entry is manipulated between the binary states dynamically according to variation of the linear bias value, thereby establishing the dynamic linear biases for an NLFA model. Empirical studies on three HDI datasets from real applications indicate that the proposed DLBI-based NLFA outperforms state-of-the-art models in representation accuracy.

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References

  1. Wu, D., Luo, X.: Robust latent factor analysis for precise representation of high-dimensional and sparse data. IEEE/CAA J. Automatica Sinica. 8(4), 796–805 (2021)

    Article  MathSciNet  Google Scholar 

  2. Chen, J., Luo, X., Yuan, Y., Shang, M., Zhong, M., Xiong, Z.: Performance of latent factor models with extended linear biases. Knowl.-Based Syst..-Based Syst. 123, 128–136 (2017)

    Article  Google Scholar 

  3. He, X., Deng, K., Wang, X., Li, Y., Zhang, Y., Wang, M.: LightGCN: simplifying and powering graph convolution network for recommendation. In: Proceedings of the 43rd International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 639–648 (2020)

    Google Scholar 

  4. Kong, T., et al.: Linear, or non-linear, that is the question. In: Proceedings of the 15th ACM International Conference on Web Search and Data Mining, pp. 517–525 (2022)

    Google Scholar 

  5. Luo, X. Wang, Z., Shang, M.: An instance-frequency-weighted regularization scheme for non-negative latent factor analysis on high-dimensional and sparse data. IEEE Trans. on Systems, Man, and Cybernetics: Systems 51(6), 3522–3532 (2021)

    Google Scholar 

  6. Wu, D., Zhang, P., He, Y., Luo, X.: A double-space and double-norm ensembled latent factor model for highly accurate web service QoS prediction. IEEE Trans. on Services Computing (2022). https://doi.org/10.1109/TSC.2022.3178543

  7. Luo, X., Chen, M., Wu, H., Liu, Z., Yuan, H., Zhou, M.: Adjusting learning depth in nonnegative latent factorization of tensors for accurately modeling temporal patterns in dynamic QoS data. IEEE Trans. on Automation Science and Eng. 8(4), 2142–2155 (2021)

    Google Scholar 

  8. Goldberg, K., Roeder, T., Gupta, D., Perkins, C.: Eigentaste: a constant time collaborative filtering algorithm. Inf. Retrieval 4(2), 133–151 (2001)

    Article  MATH  Google Scholar 

  9. Yu, K., Jiang, H., Li, T., Han, S., Wu, X.: Data fusion oriented graph convolution network model for rumor detection. IEEE Trans. on Network and Service Manage. 17(4), 2171–2181 (2020)

    Google Scholar 

  10. Ma, H., Zhou, D., Liu, C., Lv, M., King, I.: Recommender systems with social regularization. Proceedings of the 4th International Conference Web Search and Data Mining, pp. 287–296 (2011)

    Google Scholar 

  11. Xiong, W., Li, F., Yu, Hong, Ji, D.: Extracting drug-drug interactions with a dependency-based graph convolution neural network. Proceedings of 2019 IEEE International Conference on Bioinformatics and Biomedicine, pp. 755–759 (2019)

    Google Scholar 

  12. Li, Z., Li, S., Bamasag, O., Alhothali, A., Luo, X.: Diversified regularization enhanced training for effective manipulator calibration. IEEE Trans. on Neural Networks and Learning Systems (2022). https://doi.org/10.1109/TNNLS.2022.3153039

  13. Yang, Z., Chen, W., Huang, J.: Enhancing recommendation on extremely sparse data with blocks-coupled non-negative matrix factorization. Neurocomputing 278, 126–133 (2018)

    Article  Google Scholar 

  14. Cai, T., Tan, V., Févotte, C.: Adversarially-trained nonnegative matrix factorization. IEEE Signal Process. Lett. 28, 1415–1419 (2021)

    Article  Google Scholar 

  15. Sedhain, S., Menon, A., Sanner, S., Xie, L.: AutoRec: Autoen-coders meet collaborative filtering. In: Proceedings of the 24th International Conference World Wide Web, pp. 111–112 (2015)

    Google Scholar 

  16. Luo, X., Zhou, M., Xia, Y., Zhu, Q.: An efficient non-negative matrix-factorization-based approach to collaborative filtering for recommender systems. IEEE Trans. on Industrial Informatics. 10(2), 1273–1284 (2014)

    Article  Google Scholar 

  17. Luo, X., Zhou, M., Xia, Y., Zhu, Q., Ammari, A., Alabdulwahab, A.: Generating highly accurate predictions for missing QoS data via aggregating nonnegative latent factor models. IEEE Trans. on Neural Networks and Learning Syst. 27(3), 524–537 (2016)

    Google Scholar 

  18. Shang, M., Yuan, Y., Luo, X., Zhou, M.: An α-β-divergence-generalized recommender for highly accurate predictions of missing user preferences. IEEE Transactions on Cybernetics. 52(8), 8006–8018 (2022)

    Article  Google Scholar 

  19. Wu, D., Luo, X., He, Y., Zhou, M.: A prediction-sampling-based multilayer-structured latent factor model for accurate representation to high-dimensional and sparse data. IEEE Trans. on Neural Networks and Learning Systems (2022). https://doi.org/10.1109/TNNLS.2022.3200009

  20. Liu, Z., Luo, X., Wang, Z.: Convergence analysis of single latent factor-dependent, nonnegative, and multiplicative update-based nonnegative latent factor models. IEEE Trans. on Neural Networks and Learning Syst. 32(4) 1737–1749 (2020)

    Google Scholar 

  21. Luo, X., Zhou, Y., Liu, Z., Zhou, M.: Fast and accurate non-negative latent factor analysis on high-dimensional and sparse matrices in recommender systems. IEEE Transactions on Knowledge and Data Engineering (2021). https://doi.org/10.1109/TKDE.2021.3125252

  22. Yuan, Y., He, Q., Luo, X., Shang, M.: A multilayered-and-randomized latent factor model for high-dimensional and sparse matrices. IEEE Trans. on big data. 8(3), 784–794 (2022)

    Article  Google Scholar 

  23. Yu, Z., et al.: Semisupervised classification with novel graph construction for high-dimensional data. IEEE Trans. on Neural Networks and Learning Syst. 33(1), 75–88 (2022)

    Google Scholar 

  24. Wu, H., Luo, X., Zhou, M., Rawa, M., Sedraoui, K., Albeshri, A.: A PID-incorporated latent factorization of tensors approach to dynamically weighted directed network analysis. IEEE/CAA Journal of Automatica Sinica. 9(3), 533–546 (2021)

    Article  Google Scholar 

  25. Chen, J., Luo, X., Zhou, M.: Hierarchical particle swarm optimization-incorporated latent factor analysis for large-scale incomplete matrices. IEEE Trans. on Big Data. 8(6), 1524–1536 (2022)

    Google Scholar 

  26. Luo, X., Zhou, Y., Liu, Z., Zhou, M.: Generalized nesterov’s acceleration-incorporated non-negative and adaptive latent factor analysis. IEEE Trans. on Services Computing (2022). https://doi.org/10.1109/TSC.2021.3069108

  27. Luo, X., Wu, H., Li, Z.: NeuLFT: a novel approach to nonlinear canonical polyadic decomposition on high-dimensional incomplete tensors. IEEE Trans. on Knowledge and Data Engineering (2022). https://doi.org/10.1109/TKDE.2022.3176466

  28. Wang, X., He, X., Wang, M., Feng, F., Chua, T.: Neural graph collaborative filtering. Proceedings of the 42nd International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 165–174 (2019)

    Google Scholar 

  29. Chen, Z., Shen, F., You, D.: Your neighbors alleviate cold-start: on geographical neighborhood influence to collaborative web service QoS prediction. Knowl.-Based Syst..-Based Syst. 138, 188–201 (2017)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Guangdong Basic and Applied Basic Research Foundation under Grant 2022A1515110579 and 2021B1515140046.

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Correspondence to Weiling Li .

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Zhong, Y., Xie, Z., Li, W., Luo, X. (2024). A Dynamic Linear Bias Incorporation Scheme for Nonnegative Latent Factor Analysis. In: Liu, F., Sadanandan, A.A., Pham, D.N., Mursanto, P., Lukose, D. (eds) PRICAI 2023: Trends in Artificial Intelligence. PRICAI 2023. Lecture Notes in Computer Science(), vol 14325. Springer, Singapore. https://doi.org/10.1007/978-981-99-7019-3_5

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  • DOI: https://doi.org/10.1007/978-981-99-7019-3_5

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  • Online ISBN: 978-981-99-7019-3

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