31 citations · 62 across the 5 of their papers we have counts for
5 papers
Backpropagation with N-D Vector-Valued Neurons Using Arbitrary Bilinear Products
Zhe-Cheng Fan, Tak-Shing T. Chan, Yi-Hsuan Yang +1
Vector-valued neural learning has emerged as a promising direction in deep learning recently. Traditionally, training data for neural networks (NNs) are formulated as a vector of s…
Complex and Quaternionic Principal Component Pursuit and Its Application to Audio Separation
Tak-Shing T. Chan, Yi-Hsuan Yang
Recently, the principal component pursuit has received increasing attention in signal processing research ranging from source separation to video surveillance. So far, all existing…
Informed Group-Sparse Representation for Singing Voice Separation
Tak-Shing T. Chan, Yi-Hsuan Yang
Singing voice separation attempts to separate the vocal and instrumental parts of a music recording, which is a fundamental problem in music information retrieval. Recent work on s…
Polar -Complex and -Bicomplex Singular Value Decomposition and Principal Component Pursuit
Tak-Shing T. Chan, Yi-Hsuan Yang
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…
Music Signal Processing Using Vector Product Neural Networks
Z. C. Fan, T. S. Chan, Y. H. Yang +1
We propose a novel neural network model for music signal processing using vector product neurons and dimensionality transformations. Here, the inputs are first mapped from real val…