Skip to main content
Log in

Incremental Bayesian broad learning system and its industrial application

  • Published:
Artificial Intelligence Review Aims and scope Submit manuscript

Abstract

Broad learning system (BLS) is viewed as a class of neural networks with a broad structure, which exhibits an efficient training process through incremental learning. An incremental Bayesian framework broad learning system is proposed in this study, where the posterior mean and covariance over the output weights are both derived and updated in an incremental manner for the increment of feature nodes, enhancement nodes, and input data, respectively, and the hyper-parameters are simultaneously updated by maximizing the evidence function. In such a way, the scale of matrix operations is capable of being effectively reduced. To verify the performance of this proposed approach, a number of experiments by using four benchmark datasets and an industrial case are carried out. The experimental results demonstrate that the proposed method can not only achieve a better outcome compared to the classical BLS and other comparative algorithms but also incrementally remodel the system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  • Chen CLP (2019) Broad learning system. https://broadlearning.ai

  • Chen T, Guestrin C (2016) Xgboost: a scalable tree boosting system. In: Proceedings of the 22nd acm sigkdd international conference on knowledge discovery and data mining, pp. 785–794

  • Chen CLP, Liu Z (2017) Broad learning system: an effective and efficient incremental learning system without the need for deep architecture. IEEE Trans Neural Netw Learn Syst 29(1):10–24

    Article  MathSciNet  Google Scholar 

  • Chen L, Liu Y, Zhao J et al (2016) Prediction intervals for industrial data with incomplete input using kernel-based dynamic Bayesian networks. Artif Intell Rev 46(3):307–326

    Article  Google Scholar 

  • Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20(3):273–297

    MATH  Google Scholar 

  • Center for Machine Learning and Intelligent Systems, UCI machine learning repository: Datasets (2017). https://archive.ics.uci.edu/ml/datasets.html

  • Documentation for GPML matlab code version 4.2. (2018) www.GaussianProcesses.org/gpml

  • Feng S, Chen CLP (2018) Fuzzy broad learning system: a novel neuro-fuzzy model for regression and classification. IEEE Trans Cybern. https://doi.org/10.1109/TCYB.2018.2857815

    Article  Google Scholar 

  • Fish-kong, LSTM-regression (2019). https://github.com/fish-kong/LSTM-regression

  • Hochreiter S, Schmidhuber J (1997) Long short-term memory. Neural Comput 9(8):1735–1780

    Article  Google Scholar 

  • Hoerl AE, Kennard RW (1970) Ridge regression: Biased estimation for nonorthogonal problems. Technometrics 12(1):55–67

    Article  Google Scholar 

  • Home Toolbox Book People Publications Faq Links (2018) https://www.esat.kuleuven.be/sista/lssvmlab

  • Jin J, Chen CLP (2018) Regularized robust broad learning system for uncertain data modeling. Neurocomputing 322:58–69

    Article  Google Scholar 

  • Jin F, Zhao J, Han Z, Wang W (2018) A joint scheduling method for multiple byproduct gases in steel industry. Control Eng Pract 80:174–184

    Article  Google Scholar 

  • Jin J, Liu Z, Chen CLP (2018) Discriminative graph regularized broad learning system for image recognition. Sci China Inf Sci 61(11):179–192

    Article  Google Scholar 

  • Kong Y, Wang X, Cheng Y, Chen CLP (2018) Hyperspectral imagery classification based on semi-supervised broad learning system. Remote Sens 10:685

    Article  Google Scholar 

  • Kong Y, Cheng Y, Chen CLP, Wang X (2019) Hyperspectral image clustering based on unsupervised broad learning. IEEE Geosci Remote Sens Lett 11(16):1741–1745

    Article  Google Scholar 

  • Li D, Ji S, Zhang C (2018) Improved broad learning system: partial weights modification based on BP algorithm. IOP Conf Ser Mater Sci Eng 439(3):032083

    Google Scholar 

  • Nguyen G, Dlugolinsky S, Bobák M et al (2019) Machine learning and deep learning frameworks and libraries for large-scale data mining: a survey. Artif Intell Rev 52:77–124

    Article  Google Scholar 

  • Petersen KB, Pedersen MS (2008) The Matrix Cookbook. Tech Univ Den 7(15):510

    Google Scholar 

  • Rasmussen CE, Williams C (2006) Gaussian processes for machine learning. MIT Press, Cambridge

    MATH  Google Scholar 

  • Suykens JAK, Vandewalle J (1999) Least squares support vector machine classifiers. Neural Process Lett 9(3):293–300

    Article  Google Scholar 

  • ThunderSVM: A fast SVM library on GPUs and CPUs (2020). https://thundersvm.readthedocs.io/en/latest/index.html

  • Tipping ME (2001) Sparse bayesian learning and the relevance vector machine. J Mach Learn Res 1:211–244

    MathSciNet  MATH  Google Scholar 

  • Tipping ME (2003) Bayesian inference: an introduction to principles and practice in machine learning. Summer School on Machine Learning, Berlin, pp 41–62

    MATH  Google Scholar 

  • Tipping ME (2016) Sparse Bayesian models (and the RVM). https://www.relevancevector.com

  • Weimer D, Scholz-Reiter B, Shpitalni M (2016) Design of deep convolutional neural network architectures for automated feature extraction in industrial inspection. CIRP Ann 65(1):417–420

    Article  Google Scholar 

  • XGBoost Documentation (2020) https://xgboost.readthedocs.io/en/latest/

  • Xu M, Han M, Chen CLP, Qiu T (2018) Recurrent broad learning systems for time series prediction. IEEE Trans Cybern. https://doi.org/10.1109/TCYB.2018.2863020

    Article  Google Scholar 

  • Zhang Q, Yang L, Chen Z, Li P, Bu F (2018) An adaptive dropout deep computation model for industrial IoT big data learning with crowdsourcing to cloud computing. IEEE Trans Industr Inf 15(4):2330–2337

    Article  Google Scholar 

  • Zhao J, Chen L, Pedrycz W, Wang W (2018) Variational inference based automatic relevance determination kernel for embedded feature selection of noisy industrial data. IEEE Trans Industr Electron 66(1):416–428

    Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Sciences Foundation of China under Grant 61873048, Grant 61833003, Grant 61533005, Grant U1908218, Grant 61773085, the Fundamental Research Funds for the Central Universities under Grant DUT19JC40, Grant DUT18TD07, Grant DUT20RC(3)013, the National Key R&D Program of China under Grant 2017YFA0700300, and the Outstanding Youth Sci-Tech Talent Program of Dalian under Grant 2018RJ01.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying Liu.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Y., Wang, Y., Chen, L. et al. Incremental Bayesian broad learning system and its industrial application. Artif Intell Rev 54, 3517–3537 (2021). https://doi.org/10.1007/s10462-020-09929-z

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10462-020-09929-z

Keywords

Navigation