Abstract
Dealing with time-varying high dimensional data is a big problem for real time pattern recognition. Only linear projections, like principal component analysis, are used in real time while nonlinear techniques need the whole database (offline). Their incremental variants do no work properly. The onCCA neural network addresses this problem; it is incremental and performs simultaneously the data quantization and projection by using the Curvilinear Component Analysis (CCA), a distance-preserving reduction technique. However, onCCA requires an initial architecture, provided by a small offline CCA. This paper presents a variant of onCCA, called growing CCA (GCCA), which has a self-organized incremental architecture adapting to the nonstationary data distribution. This is achieved by introducing the ideas of “seeds”, pairs of neurons which colonize the input domain, and “bridge”, a different kind of edge in the manifold graph, which signal the data nonstationarity. Some examples from artificial problems and a real application are given.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Van der Maaten, L., Postma, E., Van der Herik, H.: Dimensionality reduction: a comparative review. TiCC TR 2009-005, Delft University of Technology (2009)
Sanger, T.D.: Optimal Unsupervised Learning in a Single-Layer Neural Network. Neural Netw. 2, 459–473 (1989)
Weng, J., Zhang, Y., Hwang, W.S.: Candid covariance-free incremental principal components analysis. IEEE Trans. Pattern Anal. Mach. Intell. 25(8), 1034–1040 (2003)
Kouropteva, O., Okun, O., Pietikainen, M.: Incremental locally linear embedding. Pattern Recogn. 38, 1764–1767 (2005)
De Ridder, D., Duin, R.: Sammon’s mapping using neural networks: a comparison. Pattern Recogn. Lett. 18, 1307–1316 (1997)
Martinetz, T., Schulten, K.: A “neural gas” network learns topologies. In: Artificial Neural Networks, pp. 397–402. Elsevier (1991)
Fritzke, B.: A growing neural gas network learns topologies. In: Advances in Neural Information Processing System, vol. 7, pp. 625–632. MIT Press (1995)
White, R.: Competitive hebbian learning: algorithm and demonstations. Neural Netw. 5(2), 261–275 (1992)
Martinetz, T., Schulten, K.: Topology representing networks. Neural Netw. 7(3), 507–522 (1994)
Vathy-Fogarassy, A., Kiss, A., Abonyi, J.: Topology Representing Network Map—A New Tool for Visualization of High-Dimensional Data, in Transactions on Computational Science I, Vol. 4750 of the series Lecture Notes in Computer Science pp. 61–84, 2008
Estevez, P., Figueroa, C.: Online data visualization using the neural gas network. Neural Netw. 19, 923–934 (2006)
Estevez, P., Chong, A., Held, C., Perez, C.: Nonlinear projection using geodesic distances and the neural gas network. Lect. Notes Comput. Sci. 4131, 464–473 (2006)
Cirrincione, G., Hérault, J., Randazzo, V.: The on-line curvilinear component analysis (onCCA) for real-time data reduction. In: International Joint Conference on Neural Networks (IJCNN), pp. 157–165 (2015)
Demartines, P., Hérault, J.: Curvilinear component analysis: a self-organizing neural network for nonlinear mapping of data sets. IEEE Trans. Neural Netw. 8(1), 148–154 (1997)
Karbauskaitė, R., Dzemyda, G.: Multidimensional data projection algorithms saving calculations of distances. Inf. Technol. Control 35(1), 57–61 (2006)
Nasa prognostic data repository. http://ti.arc.nasa.gov/tech/dash/pcoe/prognostic-data-repository
Acknowledgements
This work has been partly supported by OPLON Italian MIUR project.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
Cirrincione, G., Randazzo, V., Pasero, E. (2018). Growing Curvilinear Component Analysis (GCCA) for Dimensionality Reduction of Nonstationary Data. In: Esposito, A., Faudez-Zanuy, M., Morabito, F., Pasero, E. (eds) Multidisciplinary Approaches to Neural Computing. Smart Innovation, Systems and Technologies, vol 69. Springer, Cham. https://doi.org/10.1007/978-3-319-56904-8_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-56904-8_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56903-1
Online ISBN: 978-3-319-56904-8
eBook Packages: EngineeringEngineering (R0)