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Division of Mathematical Methods of Information Technology - Research

 

One methodology studied is nonparametric function estimation, in particular probability density estimation and regression. Of central interest are the so-called kernel estimation methods. Often the price paid for using such methods in their basic form is heavy computation and one important goal is to reduce the amount of required computation without losing much in flexibility and estimation quality.

Neural computing, the mathematical analysis and application of artificial neural networks, offers another interesting methodology for the analysis of complex data. In function estimation problems, one characteristic feature of neural computing methods is their high flexibility that manifests itself in the rich class of functions neural models are able to capture. From a mathematical point of view the flexibility of neural networks therefore often likens them to nonparametric function estimation methods.


Applications Projects

Research collaboration is underway in the MODAFOR joint project with the Finnish Forest Research Institute (E. Tomppo) and the Laboratory of Space Technology of the Helsinki University of Technology (M. Hallikainen) on modeling and data-analysis for satellite based forest inventory. Another active project is the joint work with the ECRU unit (A. Korhola) of the Department of Ecology and Systematics of the University of Helsinki on Holocene temperature reconstruction. We also collaborate with the researchers of the National Public Health Institute (J. Haukka) on data-analysis of neuropsychological testing of schizophrenia. In industrial collaboration active work is underway with Instrumentarium Imaging.


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