A method for Knowledge Creation and Knowledge Utilization by Generalized Inverse Operator for Big Data

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K12024
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Multimedia database
• Research Institution: University of Tsukuba
• Principal Investigator: KITAGAWA TAKASHI 筑波大学, システム情報系, 教授 (60153095)
• Co-Investigator(Renkei-kenkyūsha): KIYOKI Yasushi 慶應義塾大学, 環境情報学部, 教授 (10169956) ; Sakurai Tetsuya 筑波大学, システム情報系, 教授 (60187086) ; NAKANISHI Takafumi 国際大学, GLOCOM, 准教授 (80435784)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 知識創造 / 一般化逆作用素 / メディア情報学 / 情報数理 / 数値解析

Outline of Final Research Achievements

We developed "A Method of Knowledge Creation and Knowledge Utilization” by Generalized Inverse Operator" for Big Data, We established a model by regarding the Knowledge creating Operator and the Knowledge Utilization Operator as the inverse operator mutually.
The main problem is the creating the inverse operator is not well-posed and we cannot construct the inverse operator properly, We need some auxiliary conditions and probabilistic process to the problem. We succeeded to make the problem well-posed by combining the auxiliary constrained conditions, notion of generalized inverses and probabilistic conditions. We applied this method to 3 different class of problems and sucessfully implemented the method to the system.

Free Research Field

情報数理、メディア情報学、データ解析、数値解析学