Implicit相互作用：システムの局所的記述の数理

抄録

Researches on co-creation systems and that on internal measurement share some basic views on complex systems. These are the researches on features of complex systems which include some duality such as explicit/implicit information or global/local interaction, etc. For experiments and analyses based on the views, we need a theoretical framework describing the duality. In this study, two types of interaction are introduced. One is “explicit interaction” which is defined by conventional usage of functions, and the other is “implicit interaction” which is defined by a generalized determination process of function parameters. These interactions are formalized via duality on vector spaces and generalized inverse matrices. Implicit interaction is defined by the form which is similar to statistical parameter estimation but is not the same. It derives a Cauchy distribution on parameter fluctuation and structural branch on parameters.