Tensor Network
Tensor networks are mathematical structures used to represent and manipulate high-dimensional data efficiently, addressing the "curse of dimensionality" in various fields. Current research focuses on developing and applying tensor network architectures, such as tree tensor networks, tensor trains, and tensor rings, to diverse problems including machine learning (e.g., anomaly detection, regression, generative modeling), quantum physics simulations, and even industrial applications like web service QoS prediction and climate modeling. This approach offers advantages in terms of computational efficiency, model interpretability, and the ability to handle complex relationships within large datasets, impacting fields ranging from materials science to healthcare.
Papers
TW-BAG: Tensor-wise Brain-aware Gate Network for Inpainting Disrupted Diffusion Tensor Imaging
Zihao Tang, Xinyi Wang, Lihaowen Zhu, Mariano Cabezas, Dongnan Liu, Michael Barnett, Weidong Cai, Chengyu Wang
STN: a new tensor network method to identify stimulus category from brain activity pattern
Chunyu Liu, Jiacai Zhang
Scalably learning quantum many-body Hamiltonians from dynamical data
Frederik Wilde, Augustine Kshetrimayum, Ingo Roth, Dominik Hangleiter, Ryan Sweke, Jens Eisert
Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations
Edward Gillman, Dominic C. Rose, Juan P. Garrahan