ResearchTrend.AI
  • Papers
  • Communities
  • Events
  • Blog
  • Pricing
Papers
Communities
Social Events
Terms and Conditions
Pricing
Parameter LabParameter LabTwitterGitHubLinkedInBlueskyYoutube

© 2025 ResearchTrend.AI, All rights reserved.

  1. Home
  2. Papers
  3. 2302.01191
13
4

Noncommutative C∗C^*C∗-algebra Net: Learning Neural Networks with Powerful Product Structure in C∗C^*C∗-algebra

26 January 2023
Ryuichiro Hataya
Yuka Hashimoto
ArXivPDFHTML
Abstract

We propose a new generalization of neural network parameter spaces with noncommutative C∗C^*C∗-algebra, which possesses a rich noncommutative structure of products. We show that this noncommutative structure induces powerful effects in learning neural networks. Our framework has a wide range of applications, such as learning multiple related neural networks simultaneously with interactions and learning equivariant features with respect to group actions. Numerical experiments illustrate the validity of our framework and its potential power.

View on arXiv
Comments on this paper