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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 <ref>I. Teliban, D. Block, A. Piel and F. Greiner, ''Improved conditional averaging technique for plasma fluctuation diagnostics'', [[doi:10.1088/0741-3335/49/4/011|Plasma Phys. Control. Fusion '''49'''(2007) 485–497]]</ref> | |||
* 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]], [[Intermittence]]) | |||
* [[: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>B.A. Carreras et al., ''Reconstruction of intermittent waveforms associated with the zonal flow at the transition leading to the edge shear flow layer'', [[doi:10.1088/0029-5515/51/5/053022|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>R. Sánchez et al., ''Quiet-time statistics: A tool to probe the dynamics of self-organized-criticality systems from within the strong overlapping regime'', [[doi:10.1103/PhysRevE.66.036124|Phys. Rev. E '''66''', 036124 (2002)]]</ref> | |||
=== Causality === | |||
* [[Causality detection]]<ref>B.Ph. van Milligen, G. Birkenmeier, M. Ramisch, T. Estrada, C. Hidalgo, and A. Alonso, ''Causality detection and turbulence in fusion plasmas'', [[doi:10.1088/0029-5515/54/2/023011|Nucl. Fusion '''54''' (2014), 023011]]</ref>: the determination of a causal interaction between two fluctuating variables, based on, e.g., the Transfer Entropy | |||
== 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]] <ref>B.Ph. van Milligen, E. Sánchez, A. Alonso, M.A. Pedrosa, C. Hidalgo, A. Martín de Aguilera, A. López Fraguas, ''The use of the Biorthogonal Decomposition for the identification of zonal flows at TJ-II'', [[doi:10.1088/0741-3335/57/2/025005|Plasma Phys. Control. Fusion '''57''', 2 (2015) 025005]]</ref> | |||
== 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 /> | |||