Abstract
Microarray datasets are often too large to visualise due to the high dimensionality. The self-organising map has been found useful to analyse massive complex datasets. It can be used for clustering, visualisation, and dimensionality reduction. However for visualisation purposes the SOM uses colouring schemes as a means of marking cluster boundaries on the map. The distribution of the data and the cluster structures are not faithfully portrayed. In this paper we applied the recently proposed visualisation induced Self-Organising Map (ViSOM), which directly preserves the inter-point distances of the input data on the map as well as the topology. The ViSOM algorithm regularizes the neurons so that the distances between them are proportional in both the data space and the map space. The results are similar to the Sammon mappings but with improved details on gene distributions and the flexibility to nonlinearity. The method is more suitable for larger datasets.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Cho, R., et al.: A Genome-Wide Transcriptional Analysis of the Mitotic Cell Cycle. Molecular Cell 2, 65–73 (1998)
Chu, S., et al.: The transcriptional program of sporulation in budding yeast. Science 282, 699–705 (1998)
Cox, T.F., Cox, M.A.A.: Multidimensional scaling. Chapman and Hall, London (1994)
Karhunen, J., Joutsensalo, J.: Generalisation of principal component analysis, optimisation problems, and neural networks. Neural Networks 8, 549–562 (1995)
Kohonen, T.: Self-Organizing Maps, 2nd edn. Springer, Heidelberg (1995)
Kramer, M.A.: Nonlinear principal component analysis using autoassociative neural networks. AICHE Journal 37, 233–243 (1991)
Raychaudhuri, S., et al.: Principal Components Analysis to Summarize Microarray Experiments- Application to Sporulation Time Series. In: Pac. Symp. Biocomput, pp. 455–466 (2000)
Ripley, B.D.: Pattern recognition and neural network. Cambridge University Press, Cambridge (1996)
Sammon, J.W.: A nonlinear mapping for data structure. IEEE Transactions on Computer 18, 401–409 (1969)
Schölkopf, B., Smola, A., Müller, K.R.: Nonlinear component analysis as a kernal eigenvalue problem. Neural Computation 10, 1299–1319 (1998)
Spellman, P.T., et al.: Comprehensive Identification of Cell Cycle-regulated genes of the yeast saccharomyces cerevisiae by microarray hybridisation. Molecular Biology of the Cell 9, 3273–3297 (1998)
Torkkola, K., et al.: Self-organizing maps in mining gene expression data. Information Sciences 139, 79–96 (2001)
Törönen, P., et al.: Analysis of gene expression data using self-organising maps. FEBS Letters 451, 142–146 (1999)
Ultsch, A.: Self-organizing neural networks for visualization and classification. In: Opitz, O., Lausen, B., Klar, R. (eds.) Information and classification, pp. 864–867 (1993)
Wang, et al.: Clustering of the SOM easily reveals distinct gene expression patterns: results of a reanalysis of lymphoma study. Bioinformatics 3, 36 (2002)
Wen, X., et al.: Large-Scale Temporal Gene Expression Mapping of CNS Development. Proc Natl Acad Sci USA 95, 334–339 (1998)
Yin, H.: Visualisation induced SOM (ViSOM). In: Allinson, N., Yin, H., Allinson, L., Slack, (̇eds.) Advances is self-organising maps, Proceedings WSOM 2001, pp. 81–88. Springer, London (2001)
Yin, H.: Data visualisation and manifold mapping using the ViSOM. Neural Networks 15, 1005–1016 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sarvesvaran, S., Yin, H. (2004). Visualisation of Distributions and Clusters Using ViSOMs on Gene Expression Data. In: Yang, Z.R., Yin, H., Everson, R.M. (eds) Intelligent Data Engineering and Automated Learning – IDEAL 2004. IDEAL 2004. Lecture Notes in Computer Science, vol 3177. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28651-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-540-28651-6_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22881-3
Online ISBN: 978-3-540-28651-6
eBook Packages: Springer Book Archive