New Solutions Based on the Generalized Eigenvalue Problem for the Data Collaboration Analysis

TL;DR

This paper introduces a novel approach to Data Collaboration Analysis using generalized eigenvalue problems, improving the construction of collaborative functions and achieving higher predictive accuracy in real-world datasets.

Contribution

It formulates the optimization problem via matrix segmentation and proposes a solution based on generalized eigenvalue problems, enhancing collaborative function construction.

Findings

Proposed method outperforms existing methods in predictive accuracy.

Effective matrix segmentation and weighting improve collaborative function construction.

Algorithms tailored to specific situations enhance efficiency.

Abstract

In recent years, the accumulation of data across various institutions has garnered attention for the technology of confidential data analysis, which improves analytical accuracy by sharing data between multiple institutions while protecting sensitive information. Among these methods, Data Collaboration Analysis (DCA) is noted for its efficiency in terms of computational cost and communication load, facilitating data sharing and analysis across different institutions while safeguarding confidential information. However, existing optimization problems for determining the necessary collaborative functions have faced challenges, such as the optimal solution for the collaborative representation often being a zero matrix and the difficulty in understanding the process of deriving solutions. This research addresses these issues by formulating the optimization problem through the segmentation of matrices into column vectors and proposing a solution method based on the generalized eigenvalue problem. Additionally, we demonstrate methods for constructing collaborative functions more effectively through weighting and the selection of efficient algorithms suited to specific situations. Experiments using real-world datasets have shown that our proposed formulation and solution for the collaborative function optimization problem achieve superior predictive accuracy compared to existing methods.