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math.NA2025
A Provably-Correct and Robust Convex Model for Smooth Separable NMF
Junjun Pan, Valentin Leplat, Michael Ng +1
Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF…
math.NA2025
Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions
Xue-lei Lin, Michael K. Ng, Junjun Pan
In this paper, we study Hermitian quaternion Toeplitz matrices generated by quaternion-valued functions. We show that such generating function must be the sum of a real-valued func…