Fig. 2
From: MOSCATO: a supervised approach for analyzing multi-Omic single-Cell data
Simple Example of Rank-1 Tensor Regression with D=2. Suppose a univariate outcome y with canonical link g(·) and predictor tensor \(\boldsymbol {\mathcal {Z}}\) with D=2 dimensions. Each dimension in the predictor tensor corresponds to a feature set, and each feature set contains its own coefficient vectors. The coefficient vectors in this example, β1 and β2, may be estimated by collecting outcomes and predictor tensors across multiple subjects and applying the Block Relaxation Algorithm for estimation