This website collects information from the tensor4all group which is working on tensor network methods based on tensor cross interpolation (TCI) and related tensor learning algorithms such as quantics/quantized tensor trains.
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Connect with researchers working on tensor networks and related methods. Subscribe to our Google Groups mailing list for meeting announcements, join our Matrix space (chat) for real-time chat, or browse the Discourse archive.
Don't have a Google account? Contact us at tensor4all-admin@googlegroups.com to join the mailing list.
The Discourse forum is kept in read-only maintenance mode as an archive. Please use the mailing list for announcements and Matrix for live discussions.
Literature
A pedagogical introduction to tensor network methods, which includes an overview of the existing literature and also new algorithms, can be found in:
Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, Xavier Waintal, “Learning tensor networks with tensor cross interpolation: New algorithms and libraries”, SciPost Phys. 18, 104 (2025) · published 20 March 2025, arXiv:2407.02454.
Please check the reference page for more information on TCI and quantics tensor trains.
Code
The tensor4all software ecosystem includes current C++/Python and Julia libraries, actively developed Rust/Julia components, and maintenance-mode packages. See the software map for recommendations on which library to use.
Monthly online meeting
We have a monthly online meeting to discuss the development of new methods and applications. Zoom links will be provided through a mailing list (92 registered users as of January 5th, 2026). Please contact us if you would like to join the mailing list.
The Discourse forum is kept in read-only maintenance mode as an archive. Please use the mailing list for the latest announcements.
Planned meetings:
- May 26th, 2026 (Developer meeting: Christoph Groth, demonstration of his workflow using the pi harness for coding with AI agents, 8:00 AM EDT / 14:00 CEST / 21:00 JST; this meeting will be recorded)
Previous meetings:
- May 19th, 2026 (Developer meeting)
- May 12th, 2026 (talk: Paul Cazeaux, 8:00 AM EDT / 14:00 CEST / 21:00 JST)
- April 14th, 2026 (Developer meeting)
- March 17th, 2026 (Developer meeting)
- February 10th, 2026 (Developer meeting)
- January 20th, 2026 (talk: Prof. Engin Danis, “Tensor-Train Finite Difference Method for Compressible Flows”, 8:00 AM ET / 14:00 CET / 22:00 JST) - Details
- July 8th, 2025 (talk: Leonhard Hoelscher)
- June 6th, 2025 (talk: Maksymilian Ĺšroda)
- May 6th, 2025
- March 1st, 2025
- February 18th, 2025
- January 13th, 2025 (talk: Yuehaw Khoo)
- November 26th, 2024
- October 29th, 2024
- September 30th, 2024
- August 26th, 2024
- July 1st, 2024
- June 3rd, 2024
- April 22th, 2024
- March 25th, 2024
- February 22nd, 2024
Workshops
We organize workshops to discuss the development of new methods.
Lectures
We have a lectures page to share lectures on TCI and related tensor learning algorithms.
People
Check the about page to see who is involved in the tensor4all collaboration.
Frequently Asked Questions
We have a FAQ page to answer common questions.