4 papers
Leakage and Multiway Interaction Loss: What Matricization and Single-Mode Truncation Discard from Multiway Signals
Hiroki Hasegawa
Tensor methods are said to preserve structure that matrix methods destroy, but what is lost, and why, is unclear. Relative to a multilinear reference, we split the squared error of…
Covariance-Based Structural Equation Modeling in Small-Sample Settings with
Hiroki Hasegawa, Aoba Tamura, Yukihiko Okada
Factor-based Structural Equation Modeling (SEM) relies on likelihood-based estimation assuming a nonsingular sample covariance matrix, which breaks down in small-sample settings wi…
Interaction Tensor SHAP
Hiroki Hasegawa, Yukihiko Okada
This study proposes Interaction Tensor SHAP (IT-SHAP), a tensor algebraic formulation of the Shapley Taylor Interaction Index (STII) that makes its computational structure explicit…
A Robust and Non-Iterative Tensor Decomposition Method with Automatic Thresholding
Hiroki Hasegawa, Yukihiko Okada
Recent advances in IoT and biometric sensing technologies have led to the generation of massive and high-dimensional tensor data, yet achieving accurate and efficient low-rank appr…