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Low-rank MMSE filters, Kronecker-product representation, and regularization: a new perspective

Published: December 16, 2025 | arXiv ID: 2512.14932v1

By: Daniel Gomes de Pinho Zanco , Leszek Szczecinski , Jacob Benesty and more

In this work, we propose a method to efficiently find the regularization parameter for low-rank MMSE filters based on a Kronecker-product representation. We show that the regularization parameter is surprisingly linked to the problem of rank selection and, thus, properly choosing it, is crucial for low-rank settings. The proposed method is validated through simulations, showing significant gains over commonly used methods.

Category
Computer Science:
Machine Learning (CS)