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Backpropagation with N-D Vector-Valued Neurons Using Arbitrary Bilinear Products
Vector-valued neural learning has emerged as a promising direction in deep learning recently.
Complex and Quaternionic Principal Component Pursuit and Its Application to Audio Separation
Thus, in this letter, we extend principal component pursuit to the complex and quaternionic cases to account for the missing phase information.
Polar $n$-Complex and $n$-Bicomplex Singular Value Decomposition and Principal Component Pursuit
Informed by recent work on tensor singular value decomposition and circulant algebra matrices, this paper presents a new theoretical bridge that unifies the hypercomplex and tensor-based approaches to singular value decomposition and robust principal component analysis.
Informed Group-Sparse Representation for Singing Voice Separation
Singing voice separation attempts to separate the vocal and instrumental parts of a music recording, which is a fundamental problem in music information retrieval.
