Thông tin tài liệu
Nhan đề : |
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite |
Tác giả : |
Carlos, Beltrán Paul, Breiding Nick, Vannieuwenhoven |
Năm xuất bản : |
2022 |
Nhà xuất bản : |
Springer |
Tóm tắt : |
The tensor rank decomposition, or canonical polyadic decomposition, is the decomposition of a tensor into a sum of rank-1 tensors. The condition number of the tensor rank decomposition measures the sensitivity of the rank-1 summands with respect to structured perturbations. Those are perturbations preserving the rank of the tensor that is decomposed. On the other hand, the angular condition number measures the perturbations of the rank-1 summands up to scaling. We show for random rank-2 tensors that the expected value of the condition number is infinite for a wide range of choices of the density. |
Mô tả: |
CC BY |
URI: |
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7446 |
Bộ sưu tập |
OER - Khoa học Tự nhiên |
XEM MÔ TẢ
27
XEM TOÀN VĂN
10
Danh sách tệp tin đính kèm: