Abstract

There is a need for methods that will extract accurate results from limited data in information processing. This paper probes into the mechanism of unlimited information diffusion, which is similar to those of molecular diffusion and heat conduction. Therefore the information diffusion function is deduced to be the solution of the Cauchy problem. Then we apply it to a practical project to study the relationship between the prevalence rates of coronary heart disease and the relevant risk factors. The results are satisfactory and reveal that the information diffusion technique is efficient in dealing with the small sample problem. Finally, in order to get rid of the randomicity of the parameter in the information diffusion function, two criteria are proposed for the establishment of an optimization model in the one-dimensional case.

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