Data analysis techniques: Difference between revisions

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This page collects information on data analysis techniques used in fusion research.
 
== Temporal analysis ==
 
=== Linear analysis ===
 
* [[:Wikipedia:Correlation|Correlation]] analysis
* [[:Wikipedia:Fourier transform|Fourier]] analysis
* [[:Wikipedia:Wavelet|Wavelet]] analysis
* Conditional analysis
* Probability distribution, [[:Wikipedia:Cumulative distribution function|Cumulative distribution function]] (rank)
 
=== Non-linear analysis ===
 
* [[Bicoherence]], bispectrum
* Chaos analysis ([[:Wikipedia:Attractor|Strange attractor]], [[:Wikipedia:Fractal dimension|Fractal dimension]], [[:Wikipedia:Mutual information|Mutual information]], [[:Wikipedia:Lyapunov exponent|Lyapunov exponent]])
* [[:Wikipedia:Hilbert-Huang transform|Hilbert-Huang transform]] <ref>N. Huang and S. Shen, ''Hilbert-Huang transform and its applications'' (World Scientific, London, 2005) ISBN 978-9812563767</ref><ref>[http://stacks.iop.org/0029-5515/51/053022 B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', Nucl. Fusion '''51''' (2011) 053022]</ref>
 
=== Self-similarity ===
 
* [[:Wikipedia:Rescaled range|Rescaled range]] or [[:Wikipedia:Hurst exponent|Hurst]] analysis; Structure functions
* Waiting times, quiet times <ref>[http://link.aps.org/doi/10.1103/PhysRevE.66.036124 R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'',  Phys. Rev. E '''66''', 036124 (2002)]</ref>
 
== Spatial analysis ==
 
Most of the techniques listed under 'temporal analysis' can of course be applied to spatial data.
* Tomography (cf. [[TJ-II:Tomography]])
 
== Spatio-temporal analysis ==
 
* [[Biorthogonal decomposition]]
 
== Image analysis ==
 
* Twodimensional Fourier analysis
* Twodimensional wavelet analysis
* Event detection using thresholding
* [[:Wikipedia:Optical flow|Optical flow]] (for movies)
 
== Integrated data analysis ==
 
The goal of integrated data analysis is to combine the information from a set of diagnostics providing complementary information in order to recover the best possible reconstruction of the actual state of the system subjected to measurement.
* [[Function parametrization]]
* [[Bayesian data analysis]]
 
== See also ==
 
[[Error propagation]]
 
== References ==
<references />