Electroencephalography (EEG) is one fundamental tool for functional brain imaging. EEG
signals tend to be represented by a vector or a matrix to facilitate data processing and …

Alpha oscillations are ubiquitous in the brain, but their role in cortical processing remains a
matter of debate. Recently, evidence has begun to accumulate in support of a role for alpha …

Tensor analytics lays the mathematical basis for the prosperous promotion of multiway
signal processing. To increase computing throughput, mainstream processors transform …

Perceptions, thoughts, and actions unfold over millisecond timescales, while learned
behaviors can require many days to mature. While recent experimental advances enable …

This survey provides an overview of higher-order tensor decompositions, their applications,
and available software. A tensor is a multidimensional or-way array. Decompositions of …

According to predictive-coding theory, cortical areas continuously generate and update
predictions of sensory inputs at different hierarchical levels and emit prediction errors when …

Nonnegative matrix factorization (NMF) and its extensions such as Nonnegative Tensor
Factorization (NTF) have become prominent techniques for blind sources separation (BSS) …

We propose two new multilinear operators for expressing the matrix compositions that are
needed in the Tucker and PARAFAC (CANDECOMP) decompositions. The first operator …

Multidimensional NMR spectroscopy has been established as an indispensible tool for
studying structure, dynamics, and interactions of biopolymers. When used in the frame of a …

Two-way arrays or matrices are often not enough to represent all the information in the data
and standard two-way analysis techniques commonly applied on matrices may fail to find …