eprintid: 4003 rev_number: 9 eprint_status: archive userid: 17 dir: disk0/00/00/40/03 datestamp: 2020-07-10 05:41:39 lastmod: 2020-07-10 05:41:46 status_changed: 2020-07-10 05:41:46 type: conference_item metadata_visibility: show creators_name: Le Trung, Thanh creators_name: Karim, Abed-Meraim creators_name: Nguyen Linh, Trung creators_name: Remy, Boyer creators_id: letrungthanhtbt@gmail.com creators_id: karim.abed-meraim@univ-orleans.fr creators_id: linhtrung@vnu.edu.vn creators_id: remy.boyer@univ-lille.fr title: Adaptive Algorithms for Tracking Tensor-Train Decomposition of Streaming Tensors ispublished: inpress subjects: ECE subjects: IT divisions: avitech divisions: fac_fet abstract: Tensor-train (TT) decomposition has been an efficient tool to find low order approximation of large-scale, high-order tensors. Existing TT decomposition algorithms are either of high computational complexity or operating in batch-mode, hence quite inefficient for (near) real-time processing. In this paper, we propose a novel adaptive algorithm for TT decomposition of streaming tensors whose slices are serially acquired over time. By leveraging the alternating minimization framework, our estimator minimizes an exponentially weighted least-squares cost function in an efficient way. The proposed method can yield an estimation accuracy very close to the error bound. Numerical experiments show that the proposed algorithm is capable of adaptive TT decomposition with a competitive performance evaluation on both synthetic and real data. date: 2021-01 contact_email: linhtrung@vnu.edu.vn full_text_status: none pres_type: paper event_title: 28th European Signal Processing Conference (EUSIPCO) event_location: Amsterdam, The Netherlands event_dates: Jan 2021 event_type: conference refereed: TRUE citation: Le Trung, Thanh and Karim, Abed-Meraim and Nguyen Linh, Trung and Remy, Boyer (2021) Adaptive Algorithms for Tracking Tensor-Train Decomposition of Streaming Tensors. In: 28th European Signal Processing Conference (EUSIPCO), Jan 2021, Amsterdam, The Netherlands. (In Press)