2025-04-07 京都大学
＜関連情報＞
- https://www.kyoto-u.ac.jp/ja/research-news/2025-04-07
- https://www.kyoto-u.ac.jp/sites/default/files/2025-04/web_2504_Harada-0fdcaae087a4d14248e30c32c7419fbd.pdf
- https://iopscience.iop.org/article/10.1088/2632-2153/adc2c7
テンソルツリーはデータ内の隠れた関係構造を学習して生成モデルを構築する Tensor tree learns hidden relational structures in data to construct generative models
Kenji Harada, Tsuyoshi Okubo and Naoki Kawashima
Machine Learning: Science and Technology Published: 1 April 2025
DOI:10.1088/2632-2153/adc2c7
Abstract
Based on the tensor tree network with the Born machine framework, we propose a general method for constructing a generative model by expressing the target distribution function as the amplitude of the quantum wave function represented by a tensor tree. The key idea is dynamically optimizing the tree structure that minimizes the bond mutual information. The proposed method offers enhanced performance and uncovers hidden relational structures in the target data. We illustrate potential practical applications with four examples: (i) random patterns, (ii) QMNIST handwritten digits, (iii) Bayesian networks, and (iv) the pattern of stock price fluctuation pattern in S&P500. In (i) and (ii), the strongly correlated variables were concentrated near the center of the network; in (iii), the causality pattern was identified; and in (iv), a structure corresponding to the eleven sectors emerged.
