A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Filters
Dual-Symmetric Parallel Factor Analysis Using Procrustes Estimation And Khatri-Rao Factorization
2012
Zenodo
Preserved Fulltext
The new algorithm using alternating Procrustes estimation and Khatri-Rao factorization (ProKRaft) The algorithm presented here is based on a special unfolding for dual-symmetric tensors obeying a PARAFAC ...
In Section 3 we present a new algorithm, based on alternating Procrustes estimation [13] and Khatri-Rao factorization (ProKRaft), which is able to exploit the special structure of the dual-symmetric ...
doi:10.5281/zenodo.52380
fatcat:og7vjxemhvdrhehwaysr3estvy
Tensor-Based Methods for Blind Spatial Signature Estimation in Multidimensional Sensor Arrays
2017
International Journal of Antennas and Propagation
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
In this paper, we propose two generalized iterative estimation algorithms to the case in which a multidimensional (R-D) sensor array is used at the receiver. ...
The estimation of spatial signatures and spatial frequencies is crucial for several practical applications such as radar, sonar, and wireless communications. ...
Recently in [12] , an iterative algorithm was proposed in a manner similar to Independent Component Analysis (ICA) based on the Orthogonal Procrustes Problem (OPP) and Khatri-Rao factorization [13] ...
doi:10.1155/2017/1615962
fatcat:pv7nnw7hanahflamusliaadi7i
Efficient Learning of Mixed Membership Models
[article]
2017
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Our approach obtains competitive empirical results on both simulated and real data. ...
This algorithm reduces the computational complexity of state-of-the-art tensor methods, which require decomposing an O(p^3) tensor, to factorizing O(p/k) sub-tensors each of size O(k^3). ...
Moreover, × refers to the outer product and ⊙ denotes the Khatri-Rao product. · F and · 2 represent the Frobenius norm and spectral norm, respectively. ...
arXiv:1702.07933v3
fatcat:wcepzvuxfrcpfn5dqbergnkofq
Constructing fast approximate eigenspaces with application to the fast graph Fourier transforms
[article]
2021
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Other Versions
We investigate numerically efficient approximations of eigenspaces associated to symmetric and general matrices. ...
The eigenspaces are factored into a fixed number of fundamental components that can be efficiently manipulated (we consider extended orthogonal Givens or scaling and shear transformations). ...
inc where * is the Khatri-Rao product, the Kronecker products between the corresponding columns ofT −T andT. ...
arXiv:2002.09723v3
fatcat:taejw5y5xneqxlydg3dawpbnrq
COPA: Constrained PARAFAC2 for Sparse & Large Datasets
[article]
2018
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Other Versions
factors. ...
Despite recent improvements on unconstrained PARAFAC2, its model factors are usually dense and sensitive to noise which limits their interpretability. ...
N00174-17-1-0005 and by an Adobe Data Science Research Faculty Award. ...
arXiv:1803.04572v2
fatcat:d4yu5jqq2rcgxmp6xmuc27pufy
Author index to volumes 301–400
2005
Linear Algebra and its Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Bentler, The asymptotic covariance matrix of maximum-likelihood estimates in factor analysis: the case of nearly singular matrix of estimates of unique variances 321 (2000) 153 He, J.-L., see Shao, J. ...
-D. 390 (2004) 145 Liu, S., Local influence in multivariate elliptical linear regression models 354 (2002) 159 Liu, S., Several inequalities involving Khatri-Rao products of positive semidefinite matrices ...
doi:10.1016/s0024-3795(05)00125-4
fatcat:mrc33u36wnh57lis5jwcb7bmaa
Geometric Methods for Robust Data Analysis in High Dimension
[article]
2017
arXiv
pre-print
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
This is the first algorithmic use of the centroid body and it is of independent theoretical interest, since it effectively replaces the estimation of covariance from samples, and is more generally accessible ...
Machine learning and data analysis now finds both scientific and industrial application in biology, chemistry, geology, medicine, and physics. ...
The related Khatri-Rao power is defined by A = A · · · A ( times). ...
arXiv:1705.09269v1
fatcat:bfwqacnnhndojljuj7kglgrga4
Statistical signal processing of nonstationary tensor-valued data
2020
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Both matrices and vectors are lower-order tensors, and this gives us a unique opportunity to consider some matrix signal processing models under the more powerful framework of multilinear tensor algebra ...
This helps to both enhance physical meaning in the analysis and reduce the dimensionality of tensor-valued problems. ...
moments using the Khatri-Rao product structure intrinsic to the augmented complex multilinear algebra in Chapter 6. ...
doi:10.25560/81087
fatcat:yswajb44jrh6fpgi4y4wt3hrcm