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math.NA2025
Trace Ratio vs Ratio Trace Methods for Multidimensional Dimensionality Reduction
Alaeddine Zahir, Franck Dufrenois, Khalide Jbilou +1
We propose a higher-order dimensionality reduction framework based on the Trace Ratio (TR) optimization problem. We establish conditions for existence and uniqueness of solutions a…
math.NA2023
A model reduction method for large-scale linear multidimensional dynamical systems
M. A. Hamadi, K. Jbilou, A. Ratnani
In this work, we explore the application of multilinear algebra in reducing the order of multidimentional linear time-invariant (MLTI) systems. We use tensor Krylov subspace method…