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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
combinations of p latent uncorrelated weakly stationary time series. To estimate the …
Spatial blind source separation
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 …
estimator based on the simultaneous diagonalization of two scatter matrices. The asymptotic …