Complex matrix PCA consisting of two transform steps

On Humbert matrix function of two complex variables under differential operator

ON CONEIGENVALUES OF A COMPLEX SQUARE MATRIX

In this paper, we show that a matrix A in Mn(C) that has n coneigenvectors, where coneigenvaluesassociated with them are distinct, is condiagonalizable. And also show that if allconeigenvalues of conjugate-normal matrix A be real, then it is symmetric.  

K-Complex Detection Based on Synchrosqueezing Transform

K-complex is an underlying pattern in the sleep EEG. Due to the role of sleep studies inneurophysiologic and cognitive disorders diagnosis, reliable methods for analysis and detection of this patternare of great importance. In our previous work, Synchrosqueezing Transform (SST) was proposed for analysisof this pattern. SST is an EMD-like tool, which benefits from wavelet transform and reallocat...

Diagnosis of Alzheimer's Disease Using Dual-Tree Complex Wavelet Transform, PCA, and Feed-Forward Neural Network

Background. Error-free diagnosis of Alzheimer's disease (AD) from healthy control (HC) patients at an early stage of the disease is a major concern, because information about the condition's severity and developmental risks present allows AD sufferer to take precautionary measures before irreversible brain damage occurs. Recently, there has been great interest in computer-aided diagnosis in mag...

Single Pass PCA of Matrix Products

In this paper we present a new algorithm for computing a low rank approximation of the productAB by taking only a single pass of the two matrices A and B. The straightforward way to do this is to(a) first sketch A and B individually, and then (b) find the top components using PCA on the sketch. Ouralgorithm in contrast retains additional summary information about A,B (e.g. row and c...