Independent component analysis: A statistical perspective

K Nordhausen, H Oja - Wiley Interdisciplinary Reviews …, 2018 - Wiley Online Library
Independent component analysis (ICA) is a data analysis tool that can be seen as a
refinement of principal component analysis or factor analysis. ICA recovers the structures in …

A review of second‐order blind identification methods

Y Pan, M Matilainen, S Taskinen… - Wiley interdisciplinary …, 2022 - Wiley Online Library
Second‐order source separation (SOS) is a data analysis tool which can be used for
revealing hidden structures in multivariate time series data or as a tool for dimension …

Blind source separation based on joint diagonalization in R: The packages JADE and BSSasymp

J Miettinen, K Nordhausen, S Taskinen - Journal of Statistical Software, 2017 - jstatsoft.org
Blind source separation (BSS) is a well-known signal processing tool which is used to solve
practical data analysis problems in various fields of science. In BSS, we assume that the …

Fourth moments and independent component analysis

J Miettinen, S Taskinen, K Nordhausen, H Oja - 2015 - projecteuclid.org
In independent component analysis it is assumed that the components of the observed
random vector are linear combinations of latent independent random variables, and the aim …

Independent component analysis via nonparametric maximum likelihood estimation

RJ Samworth, M Yuan - 2012 - projecteuclid.org
Abstract Independent Component Analysis (ICA) models are very popular semiparametric
models in which we observe independent copies of a random vector X=AS, where A is a non …

Graph signal processing meets blind source separation

J Miettinen, E Nitzan, SA Vorobyov… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In graph signal processing (GSP), prior information on the dependencies in the signal is
collected in a graph which is then used when processing or analyzing the signal. Blind …

Semiparametrically efficient inference based on signed ranks in symmetric independent component models

P Ilmonen, D Paindaveine - 2011 - projecteuclid.org
Further results on tests and a proof of Theorem 4.3. This supplement provides a simple
explicit expression for the proposed test statistics, derives local asymptotic powers of the …

[HTML][HTML] On the usage of joint diagonalization in multivariate statistics

K Nordhausen, A Ruiz-Gazen - Journal of Multivariate Analysis, 2022 - Elsevier
Scatter matrices generalize the covariance matrix and are useful in many multivariate data
analysis methods, including well-known principal component analysis (PCA), which is …

Separation of uncorrelated stationary time series using autocovariance matrices

J Miettinen, K Illner, K Nordhausen… - Journal of Time …, 2016 - Wiley Online Library
In blind source separation, one assumes that the observed p time series are linear
combinations of p latent uncorrelated weakly stationary time series. To estimate the …

Spatial blind source separation

F Bachoc, MG Genton, K Nordhausen… - …, 2020 - academic.oup.com
Recently a blind source separation model was suggested for spatial data, along with an
estimator based on the simultaneous diagonalization of two scatter matrices. The asymptotic …