Abstract
Based on unsupervised learning paradigm, self-organizing neural networks have achieved great success in applications of automatic pattern discovery. However, the development of self-organizing neural networks is traditionally based on the assumption that data are governed by a normal distribution. Application of self-organizing neural networks in the areas where data are better modelled by other statistical distributions such as a Poisson distribution has received less attention. Based on the incorporation of the statistical nature of data with a Poisson distribution into a Self-Organizing Map, this paper presents a Poisson-based self-organizing neural network. The proposed network has been tested on two datasets including a real biological example. The results indicate that, in comparison to traditional self-organizing maps, the proposed model offers substantial improvements in pattern discovery in data governed by a Poisson distribution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Fayyad, U., Piatetsky-Shapiro, G., Matheus, C.: The KDD Process for Extracting Useful Knowledge from Volumes of Data. Communications of the ACM 39(11), 27–41 (1996)
Polyak, K., Riggins, G.J.: Gene Discovery Using the Serial Analysis of Gene Expression Technique: Implications for Cancer Research. Journal of Clinical Oncology 19(11), 2948–2958 (2001)
Haykin, S.: Neural Networks: A Comprehensive Foundation. Prentice Hall, New Jersey (1994)
Hebb, D.O.: The organisation of Behaviour: A Neuropsychological Theory. Wiley, New York (1949)
Kohonen, T.: Self-Organising Maps. Springer, Heidelberg (1995)
Grossberg, S.: Adaptive Pattern Classification and Universal Recoding: I. Parallel Development and Coding of Neural Feature Detectors. Biological Cybernetics 23, 121–134 (1976)
Golub, T.R., Slonim, D.K., Tamayo, P., Huard, C., Gassenbeck, M., Mesirov, J.P., Coller, H., Loh, M.L., Downing, J.R., Caligiuri, M.A., Bloomfield, C.D., Lander, E.S.: Molecular Classification of Cancer: Class Discovery and Class Prediction by Gene Expression Monitoring. Science 286, 531–537 (1999)
Lagerholm, M., Peterson, C., Braccini, G., Edenbrandt, L., Sörnmo, L.: Clustering ECG Complexes Using Hermite Functions and Self-organising Maps. IEEE Trans. Biomedical Engineering 47(7), 838–848 (2000)
Cai, L., Huang, H., Blackshaw, S., Liu, J.S., Cepko, C., Wong, W.: Clustering Analysis of SAGE Aata: A Poisson Approach. Genome Biology 5(51) (2004)
Wang, H., Zheng, H., Azuaje, F.: Poisson-Based Self-Organizing Feature Maps and Hierarchical Clustering for Serial Analysis of Gene Expression Data. IEEE/ACM Transactions on Computational Biology and Bioinformatics 4(2), 163–175 (2007)
Saeed, I., Sharov, V., White, J., Li, J., Liang, W., Bhagabati, N., Braisted, J., Klapa, M., Currier, T., Thiagarajan, M., Sturn, A., Snuffin, M., Rezantsev, A., Popov, D., Ryltsov, A., Kostukovich, E., Borisovsky, I., Liu, Z., Vinsavich, A., Trush, V., Quackenbush, J.: TM4: a Free, Opensource System for Microarray Data Management and Analysis. BioTechniques 34(2), 374–378 (2003)
Van Helden, J.: Metrics for Comparing Regulatory Sequences on the Basis of Pattern Counts. Bioinformatics 20(3), 399–406 (2004)
Van Helden, J., Andre, B., Collado-Vides, J.: A Web Site for the Computational Analysis of Yeast Regulatory Sequences. Yeast 16, 177–187 (2000)
Van Helden, J., Andre, B., Collado-Vides, J.: Extracting Regulatory Sites from the Upstream Region of Yeast Genes by Computational Analysis of Oligonucleotide Frequencies. J. Mol. Biol. 281, 827–842 (1998)
Van Helden, J., Andre, B., Collado-Vides, J.: Discovering Regulatory Elements in Non-Coding Sequences by Analysis of Spaced Dyads. Nucleic Acids Res. 28, 1808–1818 (2000)
Tavazoie, S., Hughes, J.D., Campbell, M.J., Cho, R.J., Church, G.M.: Systematic Determination of Genetic Network Architecture. Nat. Genet. 22, 281–285 (1999)
Zheng, H., Wang, H.Y., Azuaje, F.: Improving Pattern  Discovery and Visualization of SAGE Data through Poisson-Based Self-Adaptive Neural Networks. IEEE Transaction on Information  Technology in Biomedicine (in press, 2008)
Köhle, M., Merkl, D.: Visualising Similarities in High Dimensional Input Spaces with a Growing and Splitting Neural Network. In: Vorbrüggen, J.C., von Seelen, W., Sendhoff, B. (eds.) ICANN 1996. LNCS, vol. 1112, pp. 581–586. Springer, Heidelberg (1996)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, H., Zheng, H. (2008). Poisson-Based Self-Organizing Neural Networks for Pattern Discovery. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2008. Lecture Notes in Computer Science, vol 5226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87442-3_21
Download citation
DOI: https://doi.org/10.1007/978-3-540-87442-3_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-87440-9
Online ISBN: 978-3-540-87442-3
eBook Packages: Computer ScienceComputer Science (R0)