Dimensionality reduction as a non-cooperative game

被引：0

作者：

Honda, Hirotada ^{[1
]}

Dinh, Phuong ^{[1
]}

Thao, Pham Thu ^{[1
]}

Tabata, Yuho ^{[1
]}

Anh, Bui Duc ^{[1
]}

机构：

[1] Toyo Univ, Fac Informat & Networking Innovat & Design, Tokyo, Japan

来源：

2023 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE IN INFORMATION AND COMMUNICATION, ICAIIC | 2023年

关键词：

Dimensionality reduction; non-cooperative game; Nash equilibrium;

D O I：

10.1109/ICAIIC57133.2023.10067075

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A novel non-cooperative game theory-based approach for dimensionality reduction is proposed. We regard the sample elements in a higher-dimensional space as players in a game each of which has its strategy. A set of these strategies was implemented as an embedding of dimensionality reduction, which maps the sample elements into lower-dimensional spaces. Based on the theory of non-cooperative N-player games, we show the existence of Nash equilibria. We also provide an algorithm that yields Nash equilibrium based on the theory of nonlinear functional analysis.

引用

页码：72 / 77

页数：6

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