Multi-way Analysis with Applications in the Chemical Sciences

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Tensor decomposition of EEG signals: a brief review. (2015, neutral): “It was ﬁrst deﬁned in the ﬁeld of mathematics (Hitchcock, 1927), and has been glorious in the ﬁelds of psychometrics and chemometrices for multi-way data analysis (Kroonenberg, 2008; Smilde et al., 2004).”
Multilinear operators for higher-order decompositions (2006, background): “Higher-order tensor decompositions are in frequent use today in a variety of fields including psychometrics [43, 12, 19], chemometrics [6, 37], image analysis [45, 36, 46], graph analysis [27, 26], signal processing [13, 33], and much more [1, 38, 32].”
DFacTo: Distributed Factorization of Tensors (2014, background): “M = [ 1 0 2 0 3 4 ] ,”
Multiset Data Analysis: Extended Multivariate Curve Resolution (2020, methodology): “22 and Smilde et al.(4) and Kroonenberg.”
Differential-geometric Newton method for the best rank-(R1, R2, R3) approximation of tensors (2008, background): “It is widely used in chemometrics [41] and has several applications in wireless communication [13, 40].”
Subtracting a best rank-1 approximation may increase tensor rank (2009, background): “Tensors play a wider and wider role in numerous application areas including blind source separation techniques for Telecommunications [26,27,6,11,8], Arithmetic Complexity [21,34,1,32], or Data Analysis [13,2,28,20].”