Invariant properties in an irreversible transformation

2014 Fiscal Year Final Research Report

• Project/Area Number: 24650073
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Intelligent informatics
• Research Institution: University of Toyama (2013-2014); NTT Communication Science Laboratories (2012)
• Principal Investigator: MURAYAMA Tatsuto 富山大学, 大学院理工学研究部(工学), 講師 (80360650)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Keywords: 情報理論 / 統計力学 / 不可逆過程 / 計測 / 保存量

Outline of Final Research Achievements

We have conducted preliminary research on possibilities of finding some invariant properties in an irreversible transformation, which is defined by a simple matrix model in information theory. At this point, there seems no general way to state an invariance theorem without imposing a set of strong assumptions for the decoding model itself. In a coarse graining approach, we obtained some exact results but, eventually, they were found out to be quite trivial from the point of view of practical engineering. However, we were able to report related non-trivial findings in an international conference.

Free Research Field

情報統計力学