Slow feature analysis: unsupervised learning of invariances
Neural Computation
Weather Data Mining Using Independent Component Analysis
The Journal of Machine Learning Research
Overlearning in marginal distribution-based ICA: analysis and solutions
The Journal of Machine Learning Research
The Journal of Machine Learning Research
Topographic Independent Component Analysis
Neural Computation
Frequency-based separation of climate signals
PKDD'05 Proceedings of the 9th European conference on Principles and Practice of Knowledge Discovery in Databases
A blind source separation technique using second-order statistics
IEEE Transactions on Signal Processing
Bayesian Robust PCA for Incomplete Data
ICA '09 Proceedings of the 8th International Conference on Independent Component Analysis and Signal Separation
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We present an example of exploratory data analysis of climate measurements using a recently developed denoising source separation (DSS) framework. We analyzed a combined dataset containing daily measurements of three variables: surface temperature, sea level pressure and precipitation around the globe, for a period of 56 years. Components exhibiting slow temporal behavior were extracted using DSS with linear denoising. The first component, most prominent in the interannual time scale, captured the well-known El Nino-Southern Oscillation (ENSO) phenomenon and the second component was close to the derivative of the first one. The slow components extracted in a wider frequency range were further rotated using a frequency-based separation criterion implemented by DSS with nonlinear denoising. The rotated sources give a meaningful representation of the slow climate variability as a combination of trends, interannual oscillations, the annual cycle and slowly changing seasonal variations. Again, components related to the ENSO phenomenon emerge very clearly among the found sources.