Low-Rank Tensor Estimation from Nonlinear Observations: A Unified Framework

Junren Chen, Lijun Ding, Dong Xia +1

We consider the estimation of a $d_1\times d_2\times d_3$ tensor $X^{\star }$ of Tucker rank $(r_1,r_2,r_3)$ from the nonlinear observations $\{y_i=f_i(\langle A_i,X^\star\rangle)\}_{…